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This study examined the effectiveness of four types of review sessions given the day before a unit exam. Over a three week period, four Algebra 1 classes were taught the same unit by the principal investigator. At the end ...
In this experiment two classes received instruction on integer operations. The first received instruction with the use of technology and the second class was instructed through a traditional approach. The study progressed ...
Velopharyngeal insufficiency (VPI) is a disorder that results from the improper contact of the soft palate, lateral pharyngeal walls, and posterior pharyngeal wall. These muscle groups make up the velopharyngeal sphincter. ...
Bone Morphogenetic Protein 1 (BMP 1) functions in normal embryological development. The goal of this research was to obtain the sequence of salamander BMPl. Following sequence determination, an in situ probe for BMPJ ...
We used radio telemetry to determine the distribution and movements of paddlefish Polyadon spathula in the Allegheny Reservoir. Thirty-one adult and subadult paddlefish collected from spring congregation areas in the ...
This study explores the connection between student understanding of arithmetic and algebra through the evaluation of numeric expressions and the simplification of structurally comparable algebraic expressions. It is ...
This study examines students' perceptions of and skill with angular measurement. Its underlying purpose is to analyze students' level of proficiency and appropriate understanding of angular measurement and associated ...
This research examines students' capability to perform computational estimations as well as strategies used in doing so. There were a total of 59 participants and each was given an assessment and a survey to collect data ...
This study examined the common misconceptions exhibited by college students regarding the topic of radical expressions. It was hypothesized that the majority of students in the study would lack a geometric understanding ...
This study examines the types of mistakes that students make solving multi-step linear equations. During this study, students completed a 15-problem test containing different types of multi-step linear equations appropriate ...
Understanding the concept of mathematical variables gives an opportunity to expand and work on high-level mathematics. This study examined college students' comprehension of variables as well as variable use in well-known ... |
Calculators
The Tech Desk doesn't loan calculators at this time, but here are some efficient ways to get your calculation done. Whether you require Maple, a scientific calculator or graphing calculator they can all be found online.
Online Calculator Software (Windows, Mac, Web, iOS, and Android)
Use Wolfram Alpha or Google Calculator and Google Graphing Calculator (accessed by typing a function directly into Google's search engine) for many different math functions on most web browsers.
Google's blog post gives you an idea of how Google's calculator works. Google's online application may require particular symbols for some functions different than a calculator, and Google's may not work fully in all versions of Internet Explorer.
Wolfram provides a tutorial of how to use their software as well. Wolfram also has an iOS app and is integrated into Apple's Siri function. Wolfram provides a wide variety of apps for various mobile devices concentrated on specific functions or data. The Tech Desk does check out iPads and iPod touches that would enable you to use these apps.
Wolfram Alpha is a knowledge engine that will compute not only your math functions and create graphs, but much more.
For those of you who require the Maple calculator for graphing functions, it is available on all library computers.
Questions or Assistance? Contact the Tech Desk, which provides technology, tools, assistance, and space for students to discover, create, and share. |
Bob Miller's Algebra for the Clueless - 2nd edition
Summary: A is for Algebra-and that's the grade you'll pull when you use Bob Miller's simple guide to the math course every college-bound kid must take
With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student's best friend. He breaks down the complexities of every problem into easy-to-understand pieces that any math-phobe can understand-and this fully updated second edition of Bob Miller's Algebra for the Clueless c...show moreovers everything a you need to know to excel in Algebra I and IIShopbookaholic Wichita, KS
2006 Paperback Good Ex-library General Used Condiiton. Minor Defects may Exist. Minimal Shelf wear. Text may contain minor marking or highlighting, Binding Tight. Previous owners name or bookplate...show more may be present. Like New, May have remainder mark (black line generally made acrossed bottom page edge to indicate close out by publisher) |
North Chelmsford AlgebraAlso, absolute value, the coordinate plane and different algebraic properties building on existing knowledge of fractions by examining ratios, proportions and probability. Converting to/from decimals. Additionally, students will be introduced to percents and problems requiring the application of percents. |
syllabus and support materia (e)/pdf/4037_y13_sy.pdf
22 pages000
O Level Mathematics (syllabus D) (4024)O Level Mathematics (syllabus D) (4024) 1/1 O Level Mathematics (syllabus D) (4024) Will students be given a formula sheet to help them in the exam or do they need to |
Of course, the theory presented has its imperfections and inadequacies—which theory does not? Yet, theory is a potent tool for analysing practical problems. ... Changes in the SeventhEdition. Enthused by the overwhelming response to the previous edition of this book and prodded.
Syllabus Attachment: The required textbook for this course is COMAP's For All Practical Purposes, SeventhEdition. For All Practical Purposes brings the excitement of contemporary mathematical thinking to the non-specialist.
The seventhedition of Understanding Psychology has relied heavily—and benefited substantially—from the advice of instructors and students from a wide range of backgrounds. ... Of course, you'll need the motivation to conscientiously read and think about the material presented.
Study Guide to Accompany Microeconomics (SeventhEdition) by Valerie Suslow and Jonathan Hamilton. ... Course Objectives: In this course, we will explore the foundations of microeconomic theory, focusing on the behavior of individuals and firms, ...
Course Overview. AP Music Theory is designed for the music student who has an interest in advanced knowledge of music theory, ... (listed as MITAP workbook in course pacing document) SeventhEdition, 2003. Publisher- McGraw Hill. ISBN #0072845414. Ordering Info- call(800)262-4729.
Course Overview: Western civilization is based on the Judeo-Christian worldview. The foundation for this . ... SeventhEdition. See also a basic . outline of footnote and bibliography style on my web page under "General Course .
Textbook: A First Course in Abstract Algebra, SeventhEdition by Fraleigh. Final exam period: Wed., March 12 from 4:30 to 7 p.m. General course description. Prerequisite: Math 455. Description: In Math 455, we learned about an abstract algebraic structure called a group.
This course will help students achieve a minimal level of literacy in international economics. ... Text: Economics, Seventhedition, Boyes and Melvin. Unit I: [Week 1, 2] Introduction to Economics. Chapter 1: What is Economics.
Course Description: This course is designed to teach the basic concepts of arithmetic in a lecture ... Required Textbook: Basic Mathematical Skills with Geometry (SeventhEdition), by Baratto and Bergman; McGraw Hill. Required Materials: Students may be required to use a scientific ...
SeventhEdition . 2011. The University of Tennessee/ Oak Ridge National Laboratory. Graduate School of Genome Science & Technology. ... Grantsmanship, scientific writing, and peer review. This course is recommended for second year students in preparation for the comprehensive examination ...
Course . Description. This course is five (5) days in duration and is designed to meet or exceed the elements of NFPA 1031, Professional Qualifications for Fire Inspector and Plan Examine. r ... SeventhEdition, IFSTA; NFPA 101, Life Safety Code,
SeventhEdition, Irwin/McGraw-Hill. COURSE OVERVIEW: This course is concerned with the development and use of cost information to create, communicate, implement and control strategies. This course requires you to take theoretical constructs, ...
Course Textbook: Psychology SeventhEdition in Modules, by David G. Myers. Worth Publishers. ISBN: # 0-7167-5842-3 Hard Back. Textbooks and other assigned texts are available through the Odessa College Bookstore. Students may order their books by calling (915) 335-6330.
This course will provide students with a competitive edge for entry into the healthcare field of study. Textbook: Diversified Health Occupations, SeventhEdition, Louise Simmers, Delmar Publishers, Inc. , 2009. Course Objectives: Upon successful completion of course students will:
SeventhEdition. Course Description: A language-independent introduction to program development using various problem solving techniques. Emphasis is placed on problem analysis, algorithm and pseudo code development, ...
This course offers a broad survey of musical masterpieces from the Middle Ages up to and including the 20th Century, with emphasis on perceptive listening. Required Textbook: Listen – SeventhEdition. by Joseph Kerman & Gary Tomlinson (LACC version includes soft cover textbook, companion DVD ...
The Norton Anthology of American Literature (Vol 2), Shorter SeventhEdition, published by W. W. Norton & Company ISBN: 978-0-393-93055-9 (ppb.) ... This course also stresses methods of library research and emphasizes writing of the research paper and the paper of literary interpretation.
This course examines psychoanalytic, biological, behavioral, cognitive, trait, humanistic, and interactionist theoretical approaches to understanding personalities. ... 0-13-099226-7 (6th edition) The seventhedition is available and is also acceptable.
AP Edition Biology, SeventhEdition; Campbell and Reece. Course Description: This is an advanced study of biology designed to prepare students for the AP Biology examination. Areas stressed are molecules and cells, genetics and evolution, and organisms and populations.
This course is the first of three courses that make up the first year of university parallel language study. ... (SeventhEdition): by Alice A. Arana and Oswaldo Arana; McGraw-Hill, Publishers; New York, NY; 2005. Puntos de partida Laboratory Manual
We the People: A Concise Introduction to American Politics (SeventhEdition). McGraw-Hill: 2008. Course Schedule. Part I: Fundamentals. Introduction . Basic Concepts (Chapter 1: pp. 1-28 and 32-35) The Making of the Nation and the Constitution (Chapter 2)
Now in its much-anticipated seventhedition, ... Designed for the Survey of Economics course, the eighth edition of Economics: Theory and Practice introduces students to basic economic concepts, institutions, relationships, and terminology. |
Math 103: Precalculus
About this Course
Math 103: Precalculus is designed to help you prepare to earn real college credit by passing the Precalculus CLEP exam. This course covers topics that are included on the exam, such as functions, exponentials, linear equations and parabolas. Use it to help you learn what you need to know about precalculus topics so you can succeed on the exam.
The math instructors are experienced and knowledgeable educators who have put together comprehensive video lessons in categories ranging from how to use FOIL to factors to trigonometry. Each category is broken down into smaller chapters that will cover topics more in-depth. These video lessons make learning fun and interesting. You get the aid of self-graded quizzes and practice tests to allow you to gauge how much you have learned.
Category
Objectives
Functions
Study functions to learn about transformations, domain, range and inverse functions. Also learn how to compose functions, evaluate composite functions and manipulate functions.
Exponentials and Logarithms
Learn about exponential functions and logarithms. Take a look at graphing, evaluating and solving equations with exponential functions and logarithms.
Find out about the different types of numbers, parts of a graph, linear equations and system of equations. Study intercepts, standard form and graphing.
Factoring with FOIL, Graphing Parabolas and Solving Quadratics
Study parabolas and learn to multiply binomials and factor quadratic equations using FOIL. Also take a look at completing the square.
Exponents and Polynomials
Study exponent properties, define a zero and negative exponent, simplify expressions and use rational exponents. Additionally, learn about working with polynomials, graphing cubics and using long and synthetic division on polynomials.
Piecewise Functions
Examine piecewise functions and learn how to graph them.
Geometry
Learn how to solve visualizing geometry problems, calculate the volumes of basic shapes and us the Pythagorean Theorem.
Using Scientific Calculators
Explore how to use a scientific calculator to work with radians, degrees, trigonometry functions and graphs. |
II. Rationale and General Objectives of the Unit
The study of aerodynamics has assisted in providing the world with the
most efficient mode of transportation. As a result of these achievements a
large industry has arisen that needs to be kept supplied with qualified
personnel both skilled and unskilled.
Most of the high school curriculum today has placed great emphasis on the
four-year-college-bound student; but there is a growing demand for workers
who are literate in mathematics in all sectors of the society.
This unit in aerodynamics will attempt to find the mathematical concepts
that are essential to flight with special interest in the concepts that
relate to path problems.
The development of this unit will be justified by the emphasis placed on
making mathematics relevant, practical and meaningful to the student, thus
providing them with answers to "Why do I need to do this?" or "Where in
the real world would I ever use this?"
The theme behind the development of this unit is to present mathematical
concepts that are not usually taught in the curriculum of students that
are labeled low achievers, and to present these topics using flight as the
major focus.
It has been a challenge to teach students in the lower mathematics
classes. These students have been accustomed to failing the traditional
topics such as fractions and decimals; and in high school they find
mathematics difficult, boring and impractical. They have been kept out of
the mainstream of mathematics because of their inability to pass the
proficiency tests.
In my quest to present these students with mathematics concepts that would
otherwise be outside their curriculum, I have attempted to present these
topics differently by relating them directly to flight, thus forging a
connection between the historical concepts and some of the mathematics
that can be applied to it.
The teaching approach would be to expose these students to the readings of
the historical development. This could be done as a class project or
individual students could do research on different areas. The mathematical
concepts could be introduced from the view point of students planning a
flight in an aircraft then considering the logistics of the flight.
Navigation, and spherical geometry could be applied here with the theme:
"Planning a Journey."
The introduction of graph theory could be introduced as a tool to solving
problems that relate to the activities that present themselves during the
flight: loading and unloading the aircraft; the job activities of the air
hostess; even the time line of activities for passengers. Students could
brainstorm and develop their own problems.
I share the beliefs presented in the Mathematics Standards prepared by the
N.T.C.M.,3 that mathematics should be made relevant, that its application
should be shown across subject areas, and that all students can be
successful in mathematics.
General Objectives of the Unit
The unit will be designed to help students:
a) To acquire knowledge about the historical development of the
industry.
b) To develop the ability to apply their knowledge in math to the task
of problem solving.
c) To apply specific graphing skills to solving problems.
d) To use Graph Theory to solve problems related to paths.
e) Introduce students to Spherical Geometry as a link between Geography and Geometry.
III. Historical Overview of the Development of Aircraft4
A. Developments before the Wright Brothers
Men had always wondered why it was impossible for them to attain the art
of flying. They questioned the ability of birds to fly. As a result of
their fascination for flying, stories of man's ability to fly have been
embedded in the Greek myths of Daedalus
and his son, Icarus.
The stories were centered around his escape from the island of Crete where
he was imprisoned. They described how they fastened wings with wax to
their bodies and flew through the air; Icarus flew too near the sun, the
wax melted and he fell to his death in the sea.
Man's idea about flying was thus centered on the imitation of birds; as a
result various medieval people fastened wings to their bodies and tried to
fly. Many fell to their most unfortunate fates.
(figure available in print form)
Finally men gave up the idea of strapping a pair of wings to their bodies
to enable them to fly. It was replaced by the concept of wings which were
flapped up and down by some mechanical mechanism. Powered by some type of
human arm, leg or some other body
movement. These were the ornithopters.
Leonardo da Vinci designed a number of these. Above is a sketch of his
ornithopter.5
Ornithopters did not accomplish any successful flight; therefore they made
no contribution to the advancement of flight.
It was not until November 21, 1783 that human efforts to fly were
accomplished. This was done when the balloon flown by the Marquis
d'Ariandes went up in the air and flew 5 miles to Paris.
(figure available in print form)
This balloon was inflated and buoyed up by hot air coming from a fire
beneath it.
The Montgolfier brothers thought of the lifting power of hot air and its
ability to lift a person from the earth. They experimented with different
materials (bags made with linen in which hot air was trapped). They had
several public demonstrations and fi nally the flight of November 1783.
The flight served its purpose by triggering the public's interest in the
ability of man to fly.
It was not until the advent of Sir George Casley (1773-1857) that the
concept to include a fixed wing for generating lift and a separate
mechanism for propulsion was originated. He envisioned paddles and a
horizontal and vertical tail for stability. These
ideas were inscribed on a silver disc.
(figure available in print form)
With these ideas Cayley introduced the concept that lift was different
from propulsion and therefore set the stage for the developments that took
place later.
He devoted a life of study to aerodynamics. In 1804 he built a whirling
arm apparatus for testing airfoils; this was a lifting surface mounted on
the end of a long rod, which was rotated at some speed to generate a flow
of air over the airfoils. This is analogous to the wind tunnels today. It
was an important development because it allowed the measurement of
aerodynamic forces and the center of pressure on the lifting surface.
These developments can be considered the first step in aerodynamic
testing.
In 1804 he designed, built and flew a small model glider.
(figure available in print form)
He documented his developments in a paper entitled "On Aerial Navigation."
This was published in 1809. In 1849 he built and tested a full size
airplane by which a ten year old boy was carried along and lifted several
meters from the ground.
He had the concept of stacking several wings on top of each other
(biplanes and triplanes); he had the fear that a single wing would fail.
This idea was carried down into the twentieth century. It was only in the
1930s that the monoplane became the dominant airplane configuration.
(figure available in print form)
It was sometime in 1853 that Cayley built and flew the world's first
human-carrying glider. The configuration is unknown; it could have been a
triplane and looked like the boy carrier.
After Cayley's death in 1857, not many inventions took place for the next
fifty years.
Other landmark discoveries
William Samuel Henson (1812-1888): he published a design for a fixed wing
airplane powered by a steam engine driving two propellers. This was called
the aerial steam carriage.
This design was a direct result of Cayley's ideas and research in
aeronautics.
John Stringfellow, a friend of Henson, built several small steam engines
and attempted to power some model monoplanes off the ground. He was not
very successful. His most recognized work appeared in the form of a steam
powered triplane. His triplane was the main bridge between Cayley's work
and modern aeronautics.
Felix Du Temple (1857-1858) flew the first successful powered model
airplane. It was a monoplane; it had wings and was powered by
clockwork.
The second airplane (1874) had the first powered takeoff by a piloted full
sized airplane. It had wings and was powered by hot air engine. The
machine was launched down an inclined plane.
Alexander F. Mozhaiski was a Russian; in July 1884 he designed an aerial
steam carriage. It was launched down a ski ramp and flew for a few
seconds.
These attempts did not satisfy the criteria of sustained flight, but could
be considered assisted powered takeoffs.
B. The age of the glider
Otto Lilienthal was one of the giants in aeronautical engineering. He
designed and flew the first successful controlled glider in history.
Because of his interest in flight, he studied the structure and types of
birds' wings and applied this information to the design of mechanical
flight.
In 1889 and again in 1890, he designed and flew gliders, but both were
unsuccessful. In 1891 he had his first successful glider flight from a
hill in Germany.
The general configuration of this monoplane glider was one of a birdlike
platform of the wing. He used chambered airfoil shape on the wing and used
vertical and horizontal tail planes in the back for stability. These
machines are the forerunners of the hangliders today. Flight control was
exercised by shifting one's center of gravity.
Lilienthal can be classified as an airman in contrast to those who were
called chauffeurs. The distinction was drawn between those who were
concerned with thrust and lift, and the airmen who were concerned with
flight in the air.
Lilienthal made about 2000 successful glider flights. His aerodynamic data
were widely read. He died during a glider flight in Germany on August 9,
1896.
Percy Pilcher studied with Lilienthal and under his guidance made several
glides. He could be classified as an airman; he understood the need for
understanding natural flight, before engaging in machine powered flights.
He built a machine called the Hawk in 1896. It was powered by a 4 hp
engine weighing 40 lbs. He died while flying this machine.
C. Aeronautics in the United States
Most of the advances that had been made in heavier than air flying
machines were made in Britain and in Europe. These developments were
taking place during the time when the United States was more concerned
with land expansion and the consolidation of a new government;
aeronautical developments had no impact.
This interest in flying was taken by Octave Chanute (1832-1910). He
collected and studied all the aeronautical information available. He later
published his book Progress in Flying Machines. In his book he summarized
all the important progress in aviation. He could be considered the first
aviation historian.
He designed hang gliders and produced a biplane glider. He bridged the gap
between Stringfellow's triplane and the successful powered flights of
1903.
Samuel Pierpont Langley (1834-1906) designed and built a series of powered
aircrafts, which resulted in piloted flights in 1903.
Langley followed in the tradition of Cayley and therefore built a large
whirling arm, powered by a steam engine. This he used to make tests on
steam airfoils.
In 1896 Langley was successful when one of powered models made a free
flight of 3300 ft and later another flew over 3/4 mile. These
"Aerodromes," as he called them, were tandem winged vehicles, driven by
two propellers between the wings that were powered by a 1 hp steam
engine.
After studying Stringfellow's work he set out to design a better engine.
In 1898, the war department commissioned him to build a machine for
passengers. He decided that a gasoline fueled engine would be best for use
on an aircraft. A 52.4 hp engine result ed from his efforts. He used a 3.2
hp gasoline fueled engine to have a successful flight with a 1/4 scale
model. With this encouragement he started to design a full scale airplane.
He mounted this aircraft on a catapult in order to provide an assisted tak
e off; this contraption was placed on top of a houseboat on the Potomac
River.
On October of 1903, with his companion Charles Manley at the controls, he
made his first attempt at flying. The aircraft fell into the water soon
after launch. They tried again on December 8, 1903 but had the same
consequences.
Langley abandoned his attempt at human flight after his failures and the
criticisms from the press.
Critics of Langley classified him as a chauffeur because he had not paid
much attention to the aspect of flight control; he did, however, leave a
legacy by the contributions he made to aeronautics.
D. The Wright Brothers
The Wright brothers drew on the rich heritage in aeronautical experiences
left them by their predecessors. They became interested in aviation after
the flight of Otto Lilienthal in 1896. They took up the study of birds as
a guide to mechanical flight; fro m their study they concluded that birds
regain their lateral balance when partly overturned by a gust of wind.
This emerged as the single most important development in aviation history,
the use of wings' twist to control airplane in rolling motion. They c
oined the phase "wing warping."
They read all the available literature on the advancements in aeronautics,
then set out to experiment with wing warping. To test this concept they
built a biplane with a wing span of 5 ft. that was controlled from the
ground with strings. This concept worked.
Encouraged, the Wright brothers decided to test this concept, but not
before gaining experience as "airmen." They made their first 17 ft wing
span by September 1900 and flew it from Kitty Hawk on October of that
year.
With this success they proceeded to build a second glider from their new
headquarters at Kill Devil Hills 4 miles to the south of Kitty Hawk; it
was tested in July and August of 1901. This new glider was larger than the
previous one. It had a wing span of 22 ft.
The Wrights were very suspicious of the existing data from the literature,
especially those generated by Lilienthal and Langley. They built their own
wind tunnel and did their own investigations. From these researches they
built the number three glider. This was flown in December 1902 and
provided much information on the impact of wind tunnels.
During 1902, they made more than 1000 perfect flights and set a distance
record of 26 seconds. The brothers had become experienced and skillful
pilots, and with all the theoretical and practical problems solved, they
felt that they could construct a machine whose stability and control in
the air depended on the pilot's skill. The only diffficulty was to find an
existing engine capable of powering the aircraft. They could not find such
an engine; therefore they designed and built their own. It was 12 hp,
water cooled, and weighed only 200 lbs. They also built their own
propeller; thus they produced their first powered machine the "Flyer" in
the summer of 1903.
They returned to their camp to find it in disarray. They repaired the
number 3 glider and practiced. Finally overcoming all setbacks (weather,
mechanical breakdowns), they were ready to test the Flyer. It was a
biplane of 40 ft with a wing area of 510 square feet and used a double
rudder behind the wings and a double elevator in front of the wings.
With conditions favorable, they called five witnesses, and with a camera
set up for pictures the Flyer made its first historic flight. (Orville was
at the controls.)
They did not stop with Flyer 1. In May 1904 they flew their second powered
machine, Flyer 2. They made improvements with a smaller wing camber. By
1905 Flyer 3 was ready. It was described as the world's first practical
powered aeroplane, justified by the sturdiness of its structure. With
their combined contribution, research and inventions, the world was on the
threshold of a new form of vehicle for public transportation.
E. The emergence of the aircraft as a valuable means of transportation
During 1909 the aeroplane had become accepted as the world's new practical
vehicle. Louis Bleriot's crossing of the Channel on July 25, and the first
air meeting at Rheims in August were significant signs.
With the Wrights' achievements and techniques to follow, European airmen
came into their own; so during the first half of the 1900s there was a
growing number of aviators, designers and amateurs, and the forms of their
aircraft began to multiply. The dominant types of aircraft became more
efficient and reliable. The message of powered flying began spreading over
the world and the beginnings of an aircraft industry, as well as
governments' concerns with aviation, became evident.
There were some diffficulties to be overcome to make the aeroplane more
efficient.
l. The development of an engine with enough horse power to lift an aircraft off the ground. This was solved with the development of gasoline fueled internal combustion engines (the Wright brothers were pioneers in this area). The automobile industry then
led the development of new engines.
2. The development and the search for aeroplanes that could fly faster and higher. This problem was solved partly by the introduction of competitions; this prompted and advanced development of high speed aircraft. One notable competition was the Schneider
race.
Military aviation became a serious concern of leading European nations. As a result military and naval flying schools were established.
When the First World War was declared, the aeroplane's duties were as
aerial intelligence agents or scouts for visual and photographic
reconnaissance. During the war years the aircraft industry in Europe and
the United States expanded from a handful of machines in 1914 to 3300 in
use by 1918. It also provided many jobs, from a few hundred in 1914 to
nearly 350,000 workers in 1918.
After the war there was more technical progress made and the acceptance of
the importance of flying was extended in the public's mind, and air
transport became a means of public transportation. As Cayley predicted,
"We shall be able to transport ourselves and our families and their goods
and chattels, more securely by air than by water."
With the far reaching developments of combat aircraft, and the various
equipment for flying and communicating, comparable developments were
taking place in the aircraft for civil transport.
After the war years, the non-military sphere of flying saw the most
dramatic developments. In 1919, the first air transport with scheduled
airlines started in Europe. The first civil airline for passengers began
in Germany February 8, 1919, with service between Berlin, Leipzig and
Vienna.
The machines used in France, England and America as transport planes were
wartime bombers adapted to passenger planes.
One important landmark in the air transport and private flying was the solo flight direct from New York to Paris on May 20-21, 1927. It helped to transform the entire travel industry and made the public more air-minded.
It was in the United States that the first modern type airliner was the
Boeing 247, flown in February 1933. The second was Douglas DC-1 flown in
July 1933.
These are a few of the airliners that emerged as a result of the
developments in aerodynamics and the demand for passenger planes.
With the advent of the Second World War, there were enormous developments
in aviation and in aeroplane engines and all the types of equipment used
in flying. This period saw the jet propelled aeroplane and the production
of helicopters and long ranged rockets. After the war the industry turned
its attention to transport production.
The leader in developing light and medium transports was the United
States. Aircraft were developed that set the style for modern heavy
transports with the Douglas Dakota (DC-3). This aircraft monopolized the
traffic on the world's long haul airlines after the war.
Following is a list of the aircraft that were developed and their
passenger capabilities.
1. Douglas Dakota (DC-3), USA
2. Junkers Ja 52, Germany
3. Douglas DC-4 Skymaster (Military C-54): February 1942. It had a crew of six and 42 passengers.
4. Douglas DC-6: February 1946, into airline service 1947.
5. Lockheed 049 (C-69): Jan 1943, carried 52 passengers.
6. Stratocruiser: November 1944.
The preceding pages do not cover all the developments of the types of
aircraft that came into existence, but they do show that the stage was set
for the use of the aircraft as a public transport system. The need was met
as a result of the inventions that arose, so that the aircraft could be
viable in the war years. After that, technology was directed towards
passenger travel.
The years after the wars also saw the research in aerodynamics directed to
rocketry and the aerospace industry.
From the developments described in the previous pages, one can point to
many fruitful instances of applied mathematics. The following sections
will attempt to present some of the mathematical topics that can be
brought to bear on the history of flight.
The shortest path from node 1 to node 6 is either 1-2-5-6 or 1-3-5-6; both
have length 8.
The digraph can also be used to solve complicated problems. Consider this
problem: We wish to minimize the time an aircraft spends at an airport.
The component activities can be placed in a table:
A1 Disembark passengers
1/2 hr.
A2 Unload baggage
1 hr.
A3 Clean the plane
1/2 hr.
A4 Take on new passengers
1 hr.
A5 Load new baggage
1 hr.
We could simply sum all the numbers of hours but some of these tasks can
be done simultaneously and some operations are independent of others. A
good way to proceed is to draw a model called "The Activity Analysis
Digraph."
An Activity Analysis Digraph is constructed in the following way.
1. Represent each activity by a node A1, A2, . . . An with
the
time required for the activity.
2. Create two additional nodes each labeled with the number zero, one representing the job's beginning and the other the job's end.
3. Draw a directed edge from one activity to the next only if the
first activity precedes the second.
Now that we have drawn a model, the problem is to determine the shortest
time for the completion of the whole job. We can proceed as follows:
1. Denote time t measured from starting point B; t = 0
2. Rephrase the problem; given an Activity Analysis Digraph for a project. What will be the shortest time at which E, the end, can be completed?
3. Add the times for all activities on the path up to but not
including E (There may be more than one path from B to E).
The critical path is the path of longest time from B to E. To determine
the most efficient schedule in the problem is the critical path B, A2, A4,
which has length of two hours and this gives the minimum time for the
whole job to be completed.
To explain, the activities A1 and A2 can both be started at time zero
(passengers can disembark and luggage be taken off at the same time).
The activity A3 cannot be started until all the passengers are taken off;
the activity A4 cannot be started until A3 is completed but can be made to
overlap with A5; we cannot arrive at E until both A4 and A5 are
completed.
6. Introduce the arrow diagrams as one way of representing direct routes.
7. Introduce the table as another way of representing routes.
8. Introduce the matrix as a short cut to writing the routes.
9. Discuss and define the matrix.
10. Discussion and Questions from the matrix.
a) Deduce important features from the matrix.
i) The leading diagonal.
ii) Is the matrix symmetrical with respect to the leading diagonal?
iii) The diagonal in a directed matrix versus an undirected matrix.
b) Provide drill and practice.
Sample Problems
1. Copy the figure and draw the arrow diagram.
(figure available in print form)
2. Complete the table.
(figure available in print form)
Questions
1. Why are there three routes from A to C?
2. Why are there 2 routes from A to B?
3. Show the leading diagonal.
4. Is the table symmetrical about the leading diagonal?
Extension Activities
1. Find the Matrix which describes these networks:
(figure available in print form)
2. Find the matrices which describe the following network, then write a statement to describe the matrices.
(figure available in print form)
3. Given the matrix, can you draw the network? (work backwards)
Sample Lesson Plan 4
Topic Introduction to Vectors as a means of representing a
distance. Objectives Students will be able to
a) Describe a position relative to a point.
b) Write the coordinate of a point in the coordinate plane.
c) Write the coordinate as a vector.
Prerequisites
1. To plot points in the coordinate plane.
2. To use a protractor to measure an angle.
3. To draw to scale.
Skills and Concepts Presented
1. Drawing angle bearing.
2. Writing coordinates with distance and angles.
3. Plotting a position in the coordinate plane using direction East and North.
4. Reading and writing the position as an ordered pair (length, angle) and as a vector (East, North).
Development
1. Review angle measure (bearing).
2. Introduce the use of a scale (model drawing).
3. Using the picture in the content, have students give the position of the boat using the format (length, angle). Have students draw other positions using variation of the angles and lengths.
4. From the coordinate system shown have students give the position of the ship using ordered pairs (East, North).
5. Introduce Vectors as a means of writing a displacement.
6. Work with students in writing the displacements. For example, suppose the ship moved from position S and its movement is (2/6), then its position relative to the port will be (4/3) + (2/6) = (6/9). Have students represent this position on their gra
ph paper.
Sample Problems For Class Discussion
1. Write down the vectors that represent the following journeys:
a) from A to B
b) from C to D
c) from E to F
d) from G to H.
(figure available in print form)
2. The following shows a map of an island:
(figure available in print form)
a) Write the stages of the journey using vectors.
b) How many stages are there?
c) Add up the vectors of the journey.
d) Show the journey from Port Charles to Jacob's point via the lighthouse.
e) Give your partner some vectors and have him (her) give your destination.
Extension Activities: Using Bearings and Scale Drawing
1. A pilot wants to fly from city C to a city B, a distance of 1200 miles. The city B is on a bearing of 082° from C. Due to a pending storm, the pilot makes a detour and refuels at city A. The distance of A from C is 700 miles and the bearing is
175 degrees. Find the distance of A to B, and the bearing the pilot has to take.
2. (500 miles, 090°) is a journey taken by an aircraft. Find the single journey represented by (500, 090 degrees) followed by (375, 250 degrees).
3. A pilot is to make a round trip from New York calling at three airports (Dulles, Washington International; Atlanta, Georgia; and Cleveland, Ohio.)
a) Plot the path of the aircraft. (Use an atlas to get the bearing).
b) What bearing must the pilot take to return straight to New York from Cleveland?
4. Use any three cities of your choice (select some foreign cities).
a) Draw a graph of the path between them.
b) Give the bearing the pilot will take for the return trip.
Latitude and Longitude
1. Draw a large sketch of the earth, marking in the center, the North and South poles, the equator, and Greenwich meridian.
2. On a sketch of the earth draw in the following.
a) the 50 degrees N circle of latitude.
b) the 30 degrees W longitude line.
c) the 60 degrees E longitude line.
d) the point A with latitude 40 degrees N and longitude 30 degrees W.
e) the point with latitude 20 degrees S longitude 10 degrees E.
3. Use a map to locate various cities and write their latitude and longitude as a vector (latitude, longitude).
Notes
1National Council of Teachers of Mathematics, "Curriculum and Evaluation
Standards for School Mathematics," 6-7.
2National Council of Teachers of Mathematics, "Curriculum and Evaluation
Standards."
3National Council of Teachers of Mathematics, "Curriculum and Evaluation Standards."
4John D. Anderson, Jr. Introduction To Flight. Second edition. New
York:
McGraw Hill, 1985. This book gives a concise history of the development of
flight, along with illustrations.
5This picture and others taken from Anderson, John D., Jr.,
Introduction
To Flight. Second edition. New York: McGraw Hill, 1985, Chapter 1.
6This picture and others taken from Anderson, John D., Jr.,
Introduction
To Flight. Second edition. New York: McGraw Hill, 1985, Chapter 1.
7This picture and others taken from Anderson, John D., Jr.,
Introduction
To Flight. Second edition. New York: McGraw Hill, 1985, Chapter 1.
8This picture and others taken from Anderson, John D., Jr.,
Introduction
To Flight. Second edition. New York: McGraw Hill, 1985, Chapter 1.
9C. A. Congleton and L. E. Broome, "A Module in Spherical Trigonometry,"
School Science and Mathematics 80, 103-108. This article has
presented the
topic of spherical geometry in three areas. The article was written as an
enrichment lesson for high school
students that have trigonometry and possible calculus in their
background. |
Resource Manips
Math study guides were designed for use when a student needs to reference a math formula, the definition of a math property, or a checklist that breaks down select math skills. Great for use with basic mathematics on up through algebra and geometry, math study guides and aids include workbooks with math problem-solving strategies with examples, mysterious math tricks, and step-by-step procedures for solving any math problem. Math aids include flip study guides that have easy access to equations, formulas and functions for higher math classes. A great too to help kids in the home or traditional classroom, math aids and study aids can serve both as reference tools and gauges to learning higher math. |
This text will help you learn all of the Geometry Texas Essential Knowledge and Skills (TEKS). In addition, you will have ample opportunity to practice the Grade 8 and Algebra I student expectations required for the Grade 10 Texas Assessment of Knowledge and Skills (TAKS). Your textbook helps you get ready for TAKS every day in every lesson |
Subject: Mathematics (9 - 12), or Science (9 - 12) Title: Ellipse Description: This lesson is designed for an Algebra II through Pre-Calculus classes and introduces the conic section- an ellipse. In this lesson students explore an ellipse, the set of points in a plane such that the sum of the distances from each point to two fixed points is constant. The students will investigate the construction of an ellipse and be able to recognize its major axis, semi-major axis and focal points and to be able to compute its eccentricity. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation. |
More About
This Textbook
Overview
This book contains almost 600 unusual and challenging multiple-choice problems designed for students aged 11-15. The first part consists of past papers (1988SH93) for the annual UK Schools Mathematical Challenge. The second part contains forty-two short papers of ten questions each in the same style, and are designed to fill a thirty-minute class or homework slot. This collection of unusual, high quality problems will provide an invaluable resource for all mathematics 15, 2007
British mathematics competition problems for ages 11 - 14.
This text consists of two parts. The first part contains the six U. K. School Mathematics Challenge papers that were administered from 1989 - 1994. Each competition contained 25 multiple choice problems, divided into two parts, that are meant to be done without a calculator. The first part of each examination consists of relatively straightforward problems, which students are encouraged to check before moving on to the ten more challenging problems in the second part of the examination. The second part of the book consists of 42 ten problem multiple choice papers that are also meant to be done without a calculator. The problems within each paper become increasingly difficult, as do the papers themselves. The problems are accessible to students of this age, but they are not easy. Answers, but not solutions, to all the problems are given. This is the chief limitation of the book, because simply knowing the correct answer does not tell you why it is true. That said, working through these problems is fun and is a good way for students of this age to prepare for mathematics competitions.
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Functions and Change: Model Approach to...
9780618858040
ISBN:
0618858040
Edition: 1 Publisher: Houghton Mifflin Company
Summary: Intended for precalculus courses requiring a graphing calculator, Functions and Change emphasizes the application of mathematics to real problems students encounter each day. Applications from a variety of disciplines, including Astronomy, Biology, and the Social Sciences, make concepts interesting for students who have difficulty with more theoretical coverage of mathematics. In addition to these meaningful applicat...ions, the authors' easy-to-read writing style allows students to see mathematics as a descriptive problem-solving tool. An extended version of the successful Functions and Change: A Modeling Approach to College Algebra, this text includes three chapters of trigonometry.
Crauder, Bruce is the author of Functions and Change: Model Approach to..., published under ISBN 9780618858040 and 0618858040. Five hundred thirty Functions and Change: Model Approach to... textbooks are available for sale on ValoreBooks.com, one hundred fifty four used from the cheapest price of $7.82, or buy new starting at $175Book has Damage to SPINE. Book has Damage to COVER. May have some notes/highlighting, slightly wo... [more]Book has Damage to SPINE. Book has Damage to COVER. May have some notes/highlighting, slightly worn covers, general wear/tear. Please contact us if you have any Questions. [less0618858040 This book may have some creased pages or bent cover corners. There may be highlighting or writing throughout. There may be "used" stickers on the cover. **FREE** D [more]
0618858040 This book may have some creased pages or bent cover corners. There may be highlighting or writing throughout. There may be "used" stickers on the cover. **FREE** Delivery tracking with every book purchased.[less]
The course was great at giving concrete, real world examples. Actual data was used so you could understand why you were learning the material, and that makes a big difference in your understanding. The many examples help students learn for themselves the material.
The section on logs and exponentials really needs some beefing up with more basic abstract work. Too little time was spend on those subjects. |
Book Description: Conceived by the author as an introduction to "why the calculus works" (otherwise known as "analysis"), this volume represents a critical reexamination of the infinite processes encountered in elementary mathematics. Part I presents a broad description of the coming parts, and Part II offers a detailed examination of the infinite processes arising in the realm of number--rational and irrational numbers and their representation as infinite decimals. Most of the text is devoted to analysis of specific examples. Part III explores the extent to which the familiar geometric notions of length, area, and volume depend on infinite processes. Part IV defines the evolution of the concept of functions by examining the most familiar examples--polynomial, rational, exponential, and trigonometric functions. Exercises form an integral part of the text, and the author has provided numerous opportunities for students to reinforce their newly acquired skills. Unabridged republication of Infinite Processes as published by Springer-Verlag, New York, 1982. Preface. Advice to the Reader. Index |
What does reading, writing and discussing math entail? "Students learn by doing," Hastings explains. "Instead of my going up to the board and telling them how to do a particular problem, students work together on activities that are designed to help them understand new ideas. As a result, they develop a sense of ownership of the material."
This approach to teaching was inspired in the early '90s by Dickinson's Workshop-Physics program, which already fostered activity- and observation-based learning. In 1991, Hastings, then associate professor of mathematics Allan Rossman and Physics Professor Priscilla Laws received their first three-year grant from the U.S. Department of Education's Fund for Improvement of Postsecondary Education (FIPSE) for development of a similar workshop program for mathematics.
"The idea was that, to start, we'd spend a year designing activities, a year testing them, a year revising them and then we'd be done," Hastings says. "But the project kept going and, since that initial grant, we've had continuous funding for our project from the National Science Foundation (NSF) and FIPSE."
Along with the workbooks she developed—including Workshop Calculus: A Guided Exploration with Review—Hastings creatively uses technology to help students learn calculus concepts. For example, her students use motion detectors—box-like devices that emit signals to detect movement—to understand graphic representations.
"I watched [Laws'] students use a motion detector to think about velocity," Hastings recalls. "I thought, 'Hey, our students could use this to think about graphs and functions.'
"If you walk in front of the box, the box measures and graphs how far away you are from it," Hastings explains. "If you increase your distance, it draws a curve that goes uphill. If you decrease your distance, the curve goes downhill. Using this, students develop an understanding of the shape of graphs—they develop a mental image of what ideas mean. And they even have fun in the process."
And no, Hastings isn't only talking about mathematics majors. In fact, the workshop curriculum was designed for students who use calculus outside of the discipline—students pursuing fields in pre-medicine, economics or chemistry.
"Of course, the primary goal [of the workshop program] is to provide students with a firm understanding of calculus concepts," she says. "But a secondary goal, which to me is equally important, is to help students develop confidence in their ability to do math. If they need to use mathematics outside of the course, I want them to say, 'OK, I can figure this out.'
"My personal goal is to have students leave Workshop Calculus feeling that they had a positive experience in a math class," Hastings continues. "My hope is that in the future, if they meet a mathematician at a party, they will say, 'Yeah, I enjoyed math.' Or if one of their children does poorly on a math test, instead of responding, 'I didn't do well in math, either!', they will say, 'I know you can do this. Let's think about how to help you understand.' "
So far, Hastings' approach is working. Since she started the program, she says, she has received "volumes of positive feedback." Enthusiastically, she recalls a letter from a recent student, a biology major who took Workshop Calculus as a pre-medicine requirement. The student, who had always struggled with math, "really turned around—she worked hard, she got an 'A' and she wrote to me: 'I finally understand calculus. Thank you!' "
Hastings' program crosses borders even beyond the limestone walls. Over the years, she has regularly spoken at conferences and hosted workshops to teach educators how to implement the approach at their institutions. California State University at Hayward, Indiana University, Knox College, Loyola Marymount University and Gettysburg High School are among those that have adopted her approach, either in calculus, precalculus or both.
Her reputation as a national innovator earned her yet another honor this summer. On June 21, Hastings and two students—Jeff Goldsmith '07 and Carley Moore '06— presented the project to members of Congress in Washington, D.C.
"The Mathematics Association of America has 30,000 members, and it asked Dickinson to be its representative [at the event]," Hastings comments. "It was a real compliment."
Hastings and her students spent the day meeting with congressional leaders like Sen. Rick Santorum (R-Pa.) and Rep. Ralph Hall (R-Texas) and discussing their project, along with 30 NSF-funded members of other science organizations, at a reception and poster session.
"It was great fun," Hastings recalls of the event. "We talked to congressional representatives about the impact of undergraduate funding on education at four-year, liberal-arts colleges. We talked about how NSF funding has enabled us to do things that we couldn't otherwise do. We thanked the representatives for supporting funding for science education."
The project has received more than $1 million in federal grants, says Workshop Mathematics Project Manager Joanne Weissman, who has worked with Hastings for the last 12 years. "These grants have enabled us to develop our innovative, activity-based curriculum materials, which help students learn," Hastings says. |
This is an elementary-to-intermediate level of algebra. It starts from scratch to introduce you the basic foundation of what do we mean by inequalities and start building up gradually to teach how how to solve word problems with making inequality equations. It involves addition, multiplication, compound and mixed inequalities with very easy mathematical language to concentrate on UNDERSTANDING the principles rather than the complex philosophy of mathematics. Try it! And expand your knowledge |
Basic College Mathematics with Early Integers
9780321726438
ISBN:
032172643X
Edition: 2 Pub Date: 2011 Publisher: Pearson Education
Summary: Martin-Gay, Elayn is the author of Basic College Mathematics with Early Integers, published 2011 under ISBN 9780321726438 and 032172643X. Six hundred forty Basic College Mathematics with Early Integers textbooks are available for sale on ValoreBooks.com, one hundred eighty used from the cheapest price of $19.07, or buy new starting at $124.97 shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions.[less]
All the information used inside the book was helpful for my desire to re-learn math from the bottom up.
Developmental math appreciation, I simply took the course so I could re-learn math from the bottom due to not having had a math class in over 10 yrs as well as I don't remember ever having a math teacher that really cared if I learned and understood. |
Mathematics for Machine Technology
Mathematics for Machine Technology
Mathematics for Machine Technology, 6th Edition
SummaryTable of Contents
Common Fractions and Decimal Fractions
Introduction to Common Fractions and Mixed Numbers
Addition of Common Fractions and Mixed Numbers
Subtraction of Common Fractions and Mixed Numbers
Multiplication of Common Fractions and Mixed Numbers
Division of Common Fractions and Mixed Numbers
Combined Operations of Common Fractions and Mixed Numbers
Computing with a Calculator: Fractions and Mixed Numbers
Introduction to Decimal Fractions
Rounding Decimal Fractions and Equivalent Decimal and Common Fractions
Addition and Subtraction of Decimal Fractions
Multiplication of Decimal Fractions
Division of Decimal Fractions
Powers
Roots
Table of Decimal Equivalents and Combined Operations of Decimal Fractions |
Mathematical olympiad handbook Great Scientific Ideas That Changed the World, you will explore ideas that—when society has been willing to pursue them—have helped form the foundation of modern life. You'll interpret the term "scientific idea" broadly, so as to include ideas that made science possible at all, as well as ideas that make science immensely powerful. You will discover there is no sharp distinction between ideas that are classified as scientific and those that are classified as philosophical or mathematical, or even between scientific ideas and political, religious, or aesthetic ideas. Alfred North Whitehead, for example, famously linked the emergence of modern science in the Christian West to the belief in a single, law-observing Creator of the universe.
Consider reading this book as if the Authors have parachuted into your backyard as Special Operations Soldiers to assist you in forming a cooperative protection of your neighborhood. That``s one of the things we were good at as ``Special Ops`` soldiers... being covertly inserted into isolated areas to train people how to defend themselves against inequitable justice and malicious aggression.
The Ultimate Guide to Keeping Up with the Indiana Joneses For everyone who's ever wanted to be as smooth as James Bond, as clever as Captain Kirk, or as tough as Charlie's Angels, The Action Hero's Handbook is the ultimate guide to the essential skills every action hero needs to survive and thrive in this dangerous but exciting world.
This book constitutes the refereed proceedings of the 14th International Conference on Formal Grammar 2009, held in Bordeaux, France, in July 2009. The 13 revised full papers presented, including two invited talks, were carefully reviewed and selected from 26 submissions. These articles in this book give an overview of new and original research on formal grammar, mathematical linguistics and the application of formal and mathematical methods to the study of natural language.
RedCrab is a scientific calculator with a full screen formula editor. The mathematical expressions are not typed in a typical command line, but can be enter in an editor window similar to a piece of paper. The calculator display the result either under or next to the expression. The handling is easier than conventional calculator. The calculator's editor supports the entry of complex algebraic equations like fractions, square roots, exponents, etc. for technical and scientific applications.
Electronic Arts' Need For Speed series takes a note from the Fast and Furious handbook with its latest release entitled Need For Speed Underground. Purchase, race, and customize 20 different licensed cars from major manufacturers such as Honda, Mitsubishi, Toyota, Volkswagen, Nissan, and more. Race other customized cars through a detailed nighttime cityscape, dodging city traffic and navigating shortcuts all the while. Customize vehicle performance as well as your car's physical appearance, changing rims, stickers, paintjob, spoilers and more. Multiple racing modes range from drift competitions, street racing, and drag racing. Breathtaking graphics showcase the power of next generation systems, PlayStation 2, Xbox, GameCube, and PC.
In 2009, around 9 million children died from preventable and treatable illnesses, such as pneumonia, diarrhoea, malaria, measles and AIDS, before reaching their fifth birthday. Even more children live in precarious situations facing diminished lives and futures, the recently released handbook Facts for Life warns.
ADEM – software industry and education. Domestic integrated CAD / CAM / CAPP ADEM system designed to automate the design and technological preparation of production. This is a single software package, which includes tools for automation.
Rotating or cutting images, removing red eyes now and then - this was yesterday. Image editing of the next generation goes further and addresses directly the weak points of digital photographs, to which even the most expensive cameras are not immune.
Computational Fluid Dynamics /by Frederic Magoules. Exploring new variations of classical methods as well as recent approaches appearing in the field, Computational Fluid Dynamics demonstrates the extensive use of numerical techniques and mathematical models in fluid mechanics. |
Algebra 2 eStudentEdition CD
Algebra 2 Homework Practice Workbook, CCSS
Algebra 2 Spanish Homework Practice Workbook, CCSS
Algebra 2 Student Edition CCSS
Algebra 2 Study Notebook, CCSS
Algebra 2, Homework Practice Workbook
Algebra 2, Spanish Homework Practice Workbook
Algebra 2, StudentWorks Plus CD-ROM
Algebra 2, StudentWorks Plus DVD
Algebra 2, Study Guide & Intervention Workbook
Algebra 2, Study Notebook
Glencoe Secondary Mathematics to the Common Core State Standards, Algebra 2 SE Supplement
Mastering the Achieve ADP Algebra II EOC Exam
Math Triumphs--Foundations for Algebra 2
Summary
ENGAGING MATHEMATICS, SUPPORTING ALL LEARNERS, DELIVERING THE CONTENT NEEDED TO MEET TODAY'S STANDARDS Glencoe Algebra 2delivers the depth of content required to meet the new changes in your state's standards; provides relevant applications for teens; unique instructional resources for teachers; and is available in print, online, and on CD-ROM or DVD formats. |
Formulae and Tables, which is intended to replace the Mathematics Tables for use in the state examinations. In 2007, the State Examinations Commission convened a working group to review and update the Mathematics Tables booklet, which is provided to
Maths is a subject which is a part and parcel of our day to day life whether it is buying vegetables or going ... LogTables Logarithms 345 Antilogarithms 347 . TARGET Publications Std. XI Sci.: Perfect Maths - II 1 Sets, Relations and Functions
MathsLogTablesMaths Set Calculator (Casio fx-83WAB recommended) Maths High: Students who have completed TY will continue with Text & Tests 6 Students coming from 3rd Yr. must have Text & Tests 6 in Aug.. Remaining text books will be ordered through the school in Sept.
Maths revision for algorithmic analysis The course will assume familiarity with a small range of standard ... The use of logtables is now a thing of the past but logarithms are still important in computer mathematics because 1+log 2!"n#$ is theNO calculators, slide rules, logtables, maths stencils, mobile phones or other calculating aids are permitted. Scribbling paper, graph paper, ruler and compasses are permitted, but are not essential. Diagrams are NOT drawn to scale.
Maths Find out your families favourite ... stick them in your learning log. Write a letter to Santa persuading him that you have been good this year. Think about different ways to begin ... Practice your times tables for BIG MATHSCalculator and logtables are essential for maths physics and chemistry calculator needed for business economics and accounting. Please Note: Please fi ll in the Booking Form and post to us with a cheque. Courtyard, Newbridge, Co. Kildare, Ireland.
In Mathematics Galore, maths champion Budd and his colleague Sangwin have recorded and expanded ... well as learning about the slide−rule and logtables your grandfather might have used to make calculations 'Mathematics Galore' 'Mathematics Galore' 1Further Maths and prior knowledge and experience at GCSE and A level, with an opportunity for ... children were taught to perform difficult calculations using 4 figure logtables and/or slide rules – rarely understanding why these techniques worked.
What is Ultimate Maths Invaders v2? 8 Educational Content 8 What's New in Version 2? 8 ... Selecting Times Tables 23 Selecting in Basic Mode 23 ... In all editions of Ultimate Maths Invaders, you can log in by either double-
a loglog = b log eometric series un = ar − 1 ... These tables concern tests of the hypothesis that a population correlation coefficient ρ is 0. The values in the tables are the minimum values which need to be reached by a sample correlation
MATHS New Concise Project Maths 1. George Humphrey et al. Gill and Macmillan. Mathemathical Set. Formulae and LogTables (New LogTables) **Calculator will be available for purchase in school only in September.** HISTORY New ...
Maths, National Average 10.9% 31% ot A's in Hons. Music, National Average 14.1% 40% ot A's in Hons. ... Please bring LogTables and a Calculator . COURSES ON OFFER AT LIMERICK TUTORIAL COLEGE One Year Full Time Repeat Leaving ... |
Welcome to basic college mathematics. In order to be proficient in this class you must have your required text book, writing materials and internet access. Student registered for this class are required to attend class each week online. In order to report your attendance you must email your Instructor with you attendance flag word which will be given within the lecture.
In this class we will be learning, basic addition, subtraction, multiplication, division, fractions and pre algebra. For questions regarding your homework, etc please be sure to email your Instructor. Thank you!In these shows, Faheem will review and discuss modern scientific discoveries, particularly regarding the human being's form, nature and powers, in the light of The Quran, The Prophet (pbuh) and the insights of Imam W. Deen Mohammed (raa)
You subconsciously live your identity every day. Is your identity empowering you or limiting you…
I will introduce you to Willie Myrick, a nine yr. old boy who was abducted and dropped off 3 hours later because of his identity and knowing whose he is…
Kidnapper releases boy, 10, because he won't stop singing gospel song
Listen, Talk, Learn and Act
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Listen Weekly. Call in or post a question on our chat line.
Parents, move into your power; you are the Power Behind Your Child's Success.'
Spread the word because your child's Classroom DNA is affected by other children |
Course grades will be based entirely on examinations.
Homework assignments will consist of textbook readings (see below)
and practice exams.
The textbook for this course is changing.
The old textbook was
``Discrete mathematics with graph theory'' by Goodaire and Parmenter.
There are two new textbooks:
``A short course in discrete mathematics'' by Bender and Williamson,
and ``Mathematics for algorithm and systems analysis'' by Bender and Williamson.
I want to make sure that each concept covered is thoroughly understood,
so I plan to focus on the following sections:
SF Section 1: sets
SF Section 2: functions
BF Section 1: Boolean functions
Lo Section 1: propositional logic
Lo Section 2: predicate logic
NT Section 1: basic facts about numbers
NT Section 2: cryptography
IS Section 1: induction
CL Section 1: counting lists with repetitions
CL Section 2: counting lists without repetition
CL Section 3: counting sets
Fn Section 1: more on functions
Fn Section 2: permutations
DT Section 4: recursive equations
GT Section 1: graphs
You should start reading SF Section 1 immediately.
(You may find it helpful to also read CL Section 1;
the contrast between sets and lists
is helpful in clarifying the concept of a set.)
As the course progresses,
you should continue reading to keep up with the lectures.
Today's class material:
The brace notation for a set with specified elements:
e.g., {3,5} is the set that has 3 as an element,
has 5 as an element,
and doesn't have anything else as an element.
A set can have more than two elements: e.g., {3,5,7}.
A set can have one element: e.g., {3}.
A set can have zero elements: {}.
A set can have infinitely many elements: e.g., {0,1,2,3,...},
the set of natural numbers.
Warning: some people define ``natural number'' to exclude 0.
Equality of sets:
S = T means that S and T have the same elements.
In other words:
if S = T then every element of S is an element of T
and every element of T is an element of S;
if every element of S is an element of T,
and every element of T is an element of S,
then S = T.
Examples:
{3,5} = {5,3};
{3,5} = {3,5,3,3};
{3,5} != {3,5,7}.
Sets don't care about order or repetition.
In contrast, multisets care about repetition,
and lists (strings) care about both order and repetition.
S <= T (with curved <)
means that S is a subset of T,
i.e., that every element of S is an element of T.
S < T (with curved <)
means that S is a proper subset of T,
i.e., that S <= T and S != T.
Warning: some people write S < T to mean that S is a subset of T,
and write S <!= T to mean that S is a proper subset of T;
beware the ambiguity of S < T.
28 August 2005
Class material from Friday:
View of set definitions as proof strategies.
To prove that S is a subset of T:
list elements of S
and prove, for each element x of S,
that x is an element of T.
To prove that S is not a subset of T:
find an element x of S that's not an element of T,
and prove it!
Example: strategy to prove that S intersect T is a subset of S.
To prove that two sets S, T are equal:
prove that S is a subset of T,
and prove that T is a subset of S.
To list the elements of S union T,
list the elements of S,
and list the elements of T.
To prove that x is in S union T,
prove that x is in S,
or prove that x is in T.
To prove that x is not in S union T,
prove that x is not in S,
and prove that x is not in T.
Example: proof that S is a subset of S union T.
How to list the elements of S intersect T.
How to prove that x is in S intersect T.
How to prove that x is not in S intersect T.
Set difference:
x is in S - T
means that x is in S and x is not in T.
Example: {3,1,4} - {2,7,1} = {3,4}.
To prove that x is not in S - T,
prove that x is not in S,
or prove that x is in T.
Practice exam, due Friday 2 September:
For each of the following five statements,
use the definitions of union, intersection, etc.
to prove the statement for all sets,
or disprove the statement by writing down particular sets
where the statement is not true.
(1) (A union B) intersect C = A union (B intersect C).
(2) If A is a subset of B and C is a subset of U-B
then A intersect C = {}.
(3) (A - B) union C = A - (B union C).
(4) (A intersect B) intersect C = A intersect (B intersect C).
(5) (A xor B) intersect C = A xor (B intersect C).
Here S xor T means (S-T) union (T-S).
Note that a statement about sets A,B,C,...
is implicitly a statement about _all_ sets A,B,C,...,
unless it explicitly says something different.
To prove the statement,
you have to prove it for all possible choices of A,B,C,...;
to disprove the statement,
you have to disprove it for at least one choice of A,B,C,...
Sample question: ``Prove or disprove that, if A is a subset of B,
and B is a subset of C, then A is a subset of C.''
Overly short answer, not spelling out enough details:
``Proof: Each element of A is an element of C.
Therefore, A is a subset of C.''
More detailed answer:
``Proof: Each element of A is an element of C.
Specifically,
if x is an element of A,
then x is an element of B, since A is a subset of B;
so x is also an element of C, since B is a subset of C.
Therefore, A is a subset of C.''
31 August 2005
Class material from Monday: Venn diagrams, and special Venn diagrams.
Today's class material:
Statement involving set names, union, intersection, minus, equal, subset
is true for all sets if and only if it's true for special Venn diagram.
Example: Venn proof that S intersect T is a subset of T.
Example: Venn proof that (X-S) intersect (X-T) = X - (S union T).
For comparison, non-Venn proof.
Picture of non-Venn proof.
Using Venn diagrams to disprove ``T - S is a subset of S,''
i.e., to disprove ``for every set S: for every set T: T - S is a subset of S.''
Example where T - S is a subset of S.
Set product (Cartesian product):
S x T is the set of strings (a,b) where a is in S and b is in T.
Example: {5,6} x {7,8,9} = {(5,7),(5,8),(5,9),(6,7),(6,8),(6,9)}.
Example: {1,2} x {2,1} = {(1,1),(1,2),(2,1),(2,2)}.
(1,2) is not (2,1).
9 September 2005
Oops, I left out a chapter from my copy of the book!
Here are all the chapters of
``A short course in discrete mathematics'':
Class material from last Friday:
Two pairs (a,b) and (c,d) are equal if and only if
their first coordinates are equal and their second coordinates are equal:
i.e., (a,b)=(c,d) iff a=c and b=d.
Some names for the pieces a,b of a pair (a,b):
components of a vector;
components of a pair;
components of an ordered pair;
elements of an array;
symbols in a string;
etc.
Review of Cartesian product.
A relation from S to T is a subset of S x T.
Examples.
Functions from S to T.
Steps to prove that f is a function from S to T:
prove that each element of f is a pair;
prove that, for each pair, the first component is in S;
prove that, for each pair, the second component is in T;
prove that, for each element x of S, there's a pair (x,something) in f;
prove that, for each element x of S, there aren't two pairs
(x,y) and (x,z) in f except when y=z.
Examples.
A function f is surjective (``onto T'')
iff, for each element y of T, there's a pair (something,y) in f.
A function f is injective (``into''; ``one-to-one'')
iff, for each element y of T, there aren't two pairs
(x,y) and (z,y) in f except when x=z.
A function is bijective
iff it is both surjective and injective.
Examples.
Practice exam due Friday 9 September:
1. Define f: \N -> \N by f(x) = x^2 + x;
i.e., consider the function from \N={0,1,2,3,...} to \N
that has elements (x,x^2+x).
Is f one-to-one? Is f onto?
2. Give an example of an onto function from {1,2,3,4} to {3,4,5}.
Give an example of an injective function from {3,4,5} to {1,3,5,7,9}.
3. Find a bijection from {0,1,2,3,4,...} to {...,-2,-1,0,1,2,...}.
4. Prove: If {{a},{a,b}} = {{c},{c,d}} then a = c and b = d.
(Side note: Some people define the pair (a,b) as {{a},{a,b}}.)
Wednesday's class material:
View of function from S to T as a rule specifying, for each element of S,
an element of T.
Warning: two different-sounding rules can be the same function.
Functions f, g are equal iff they are equal as sets.
These three functions from {1,2,3} to \N = {0,1,2,...} are equal to each other:
the function {(1,2),(2,4),(3,6)};
the rule specifying, for each element x of {1,2,3}, the number 2x;
the rule specifying, for each element x of {1,2,3},
the number sqrt(3x^2 + x(x-1+1)).
View of function from S to T as a table.
Warning: reordering table doesn't change function.
View of function from S to T as a graph.
Can also graph relations.
The notation f(x) for the unique y such that (x,y) is in f.
``Argument'' is function input.
``Value'' is function output.
f:S->T means that f is a function from S to T.
Example:
``Define f:{1,2,3}->\N by f(x)=x^2''
is a standard way to define the function {(1,1),(2,4),(3,9)}.
Another example:
``Define f:\N->\N by f(x)=x/2 if x is even, 3x+1 if x is odd.''
This example is surjective, not injective, not bijective.
Composition of functions:
if f is a function from S to T,
and g is a function from T to U,
then gf is the function from S to U
such that (gf)(x) = g(f(x)) for each x in S.
Examples.
Today's class material:
Let f be a function from S to T.
The domain of f is the set of first components of elements of f;
i.e., the domain of f is S.
The image of f is the set of second components of elements of f;
this is a subset of T.
The codomain of f is T;
beware that codomain, like surjectivity, does not depend on f alone.
The range of f is the codomain of f;
beware that some people instead define range as image.
The inverse image set of y under f
is the set of x's such that (x,y) is in f.
``Inverse image'' means ``inverse image set.''
The coimage of f is the set of nonempty inverse image sets under f.
Example: the function {(1,5),(2,4)} from {1,2} to {4,5};
domain, image, codomain, range, various inverse images;
coimage is {{2},{1}}.
Example: the function {(1,6),(2,5),(3,5),(4,6)} from {1,2,3,4} to {5,6,7,8};
domain, image, codomain, range, various inverse images;
coimage is {{1,4},{2,3}}.
The coimage of f is a partition of S.
Definition of partition.
Example: All partitions of {1,2,3,4}.
All partitions of S are coimages of various functions.
``Equivalence relations'':
can convert a partition into a relation from S to S;
can recognize from ``transitivity'' etc.
whether a relation from S to S is obtained from a partition.
Define f = {(5,14),(6,10),(7,12)}.
Then f is a set of pairs;
each first component of f is in {5,6,7};
and each second component of f is in {10,12,14,12,10}.
(At this point we know that f is a relation from {5,6,7} to {10,12,14,12,10}.)
Each element of {5,6,7} appears as a first component of f.
Each element of {5,6,7} appears no more than once as a first component of f.
(At this point we know that f is a function from {5,6,7} to {10,12,14,12,10}.)
Each element of {10,12,14,12,10} appears as a second component of f.
(At this point we know that f is a surjective function
from {5,6,7} to {10,12,14,12,10}.)
Each element of {10,12,14,12,10} appears no more than once
as a second component of f.
Therefore f is a bijection from {5,6,7} to {10,12,14,12,10}.
Table:
p
q
r
q^r
p^(q^r)
~p
~r
(~p)^(~r)
(p^(q^r))v((~p)^(~r))
0
0
0
0
0
1
1
1
1
0
0
1
0
0
1
0
0
0
0
1
0
0
0
1
1
1
1
0
1
1
1
0
1
0
0
0
1
0
0
0
0
0
1
0
0
1
0
1
0
0
0
0
0
0
1
1
0
0
0
0
1
0
0
1
1
1
1
1
0
0
0
1
The image of f is the set of values of f, namely {4,5}.
This does not contain the element 3 of {3,4,5}, so f is not surjective;
f is also not injective, since f(1) = f(3).
The coimage of f is {{1,3},{2}}.
The problem is incorrect as stated.
If S={} then S cannot be an element of a coimage;
if S=T then T-S={} so T-S cannot be an element of a coimage.
The problem should have stated ``for each nonempty proper subset S of T.''
With this modification, here is the proof.
Define g as follows:
if x is in S then g(x)=0; otherwise g(x)=1.
The inverse image of 0 under g is the nonempty set S.
The inverse image of 1 under g is the nonempty set T-S.
The coimage of g is the set of nonempty inverse images under g,
namely {S,T-S}.
The remaining classes in September were devoted to mathematical logic,
the study of mathematical truth and mathematical proof.
Mathematical truth assigns specific meanings to
``and'' (^);
``or'' (v);
``not'' (~);
``implies'' (=>);
``for all'' (A, upside down);
and ``there exists'' (E, backwards).
Mathematical proof is a standardized method
of guaranteeing mathematical truth:
specifically, a proof starts from a set of ``hypotheses,''
and produces various ``proven'' statements,
guaranteeing that each proven statement is true if all the hypotheses are true.
Mathematicians long ago worked out complete rules
for building a mathematical proof at a level that a computer could verify:
Each hypothesis is proven.
If ``p => q'' is proven, and ``p'' is proven, then ``q'' is proven.
If ``p'' is proven,
and ``x'' did not occur in any hypothesis used in proving p,
then ``for all x: p'' is proven.
``p => (q => p)'' is proven.
``(p => (q => r)) => ((p => q) => (p => r))'' is proven.
``(~(~p)) => p'' is proven.
``(for all x: p) => p[t/x]'' is proven.
Here p[t/x] means the statement obtained from p
by substituting t for x everywhere.
Note on substitution:
bound variables (``for all''/``there exists'' variables) in p
can be freely renamed,
and are required to be renamed if they appear in the term substituted for x.
For example, if p is ``~(for all y: xy<0)'' (which is true for all x),
then p[y/x] is ``~(for all z: yz<0)'' (which is true for all y),
not ``~(for all y: yy<0)'' (which is false).
``(for all x: (p => q)) => (p => for all x: q)'' is proven.
``for all x: x = x'' is proven.
``for all x: for all y: (x = y => (p => p[y/x]))'' is proven.
One can add additional rules
for handling ``and'' and ``or'' and ``there exists''
(all of which can be replaced by combinations of
``not'' and ``implies'' and ``for all'');
for handling sets;
and for handling definitions of new objects (such as functions).
You have to know the definition of mathematical truth.
You don't have to know the low-level rules for building a mathematical proof,
but you need to have the practical ability to start from hypotheses
and write down proven statements,
without accidentally writing down unproven statements.
Practice exam due Friday 7 October:
Write down the negation of the statement ``Every integer is prime'';
i.e., simplify the statement ``It is not true that each integer is prime.''
Negate the statement
``For each positive real number x there is an integer n
such that n > x.''
Is the following logic mathematically valid?
``Assumptions:
If I am wearing a purple coat and I am not wearing blue shoes,
then I am wearing red socks.
If I am wearing blue shoes or red socks,
then I am wearing a green hat.
I am wearing a purple coat.
Conclusion: I am wearing a green hat.''
2 November 2005
Disprove: if n is an integer and n^k+1 is prime then k is a power of 2.
Prove: gcd{2^10000 - 1,2^14000 - 1} = 2^2000 - 1.
Practice exam due Friday 4 November
(on combinatorics, covered on the final exam, not covered on the second exam):
Prove that Z and 3Z+1 have the same cardinality.
Prove that Z and N have the same cardinality.
Prove that there are exactly 2^10 subsets of {1,2,3,4,5,6,7,8,9,10}.
A license-plate number consists of three letters followed by three digits.
The letters are required to be different.
How many possible license-plate numbers are there?
The second exam will be Monday 7 November.
It will have 5 questions covering logic, number theory, and induction.
Bring your ID to show to the proctor.
Practice exam due Friday 18 November:
Bob is going to choose a selection of 12 chocolates.
There are 25 varieties and he can have as many as he wants of each kind.
How many ways can he make the selection?
A committee of 7 is being picked from the House of Representatives.
At most one of the 7 members will be one of the 53 members
of the California delegation
(the 52 active members,
plus whoever wins the runoff election to replace Chris Cox).
The others will be from the remaining 382 representatives.
How many ways are there to pick the committee?
Sally invites Alice, Bob, Charlie, Donna, and Eve over for dinner.
Charlie and Donna refuse to sit together.
How many ways are there for Sally, Alice, Bob, Charlie, Donna, and Eve
to sit around Sally's circular table?
In how many ways can one organize the letters a,b,c,d,e,f,g,h,i into a line
where a is next to b and c is not next to d?
You may use factorials and binomial coefficients in your answers
without calculating their values as integers.
23 November 2005
Practice exam due Wednesday 30 November:
How many ways are there to distribute at most 8 lollipops
to 4 different children?
How many ways are there to put 10 red balls and 10 blue balls
into 30 different boxes?
How many ways are there to put 10 red balls and 10 blue balls
into 30 different boxes,
at most one ball in each box?
Prove: If ten points are chosen inside a 3x3 square
then at least two of the points lie within distance s of each other,
where s is the square root of 2.
Prove: If S is a size-51 subset of {1,2,3,...,100}
then S has two different elements x,y such that x divides y.
The final exam will be Monday 5 December.
It will start at the usual class time, in the usual room,
but will last for 110 minutes.
It will have 10 questions.
Fewer than half of the questions
will be on material covered by the first two exams. |
Courses
MATH 099. Developmental Mathematics, 1-2 credits Online developmental course to prepare students for college-level mathematics courses. Topics include algebraic operations, expressions, and equations; factoring; graphing and solving linear equations. Students will develop mastery of the course outcomes by solving exercises on an adaptive, online learning system. MATH 099 is a Pass/Fail course and the credit hours do not count towards the 120-hour requirement. Placement: ACT Math score of 21 or less
MATH 131. Thinking Mathematically, 3 credits This course is a survey of topics in applied mathematics stressing the connections between contemporary mathematics and modern society. Topics include critical thinking, financial management, statistical reasoning, probability, math in politics, and math in art. This course meets the general education requirement in mathematics. Prerequisite: MATH 099 or ACT Math score of at least 22
MATH 211. Mathematics Concepts for Teachers, 3 credits The course gives prospective elementary school teachers insights into the application of mathematical reasoning, critical thinking skills, and topics related to mathematical content standards -- algebra, geometry, measurement, and data analysis and probability. This includes the process standards of problem solving, reasoning and proof, connections, communication and representation within each content standard identified in "Principles and Standards for School Mathematics" (NCTM, 2000). Prerequisite: MATH 210; EDUC 284; admission to Teacher Education Program
MATH 220. Introduction to Logic & Proof, 3 credits, Writing Intensive Introduction to Logic and Proof is designed to help students develop skills in reading and understanding elementary mathematical proofs, and in expressing their own mathematical ideas through formal writing. Emphasis will be on precision and style. Math topics include: Logical connectives and quantifiers; types of proof; elementary set theory; functions; integers and induction; equivalence relations; modular arithmetic; matrices. Prerequisite: MATH 171 or ACT Math score of at least 28
MATH/CSCI 281. Discrete Structures, 3 credits Introduction to discrete mathematics as it is used in computer science. Topics include propositional and the predicate logic, simple circuit logic, elementary number theory, sequences and summations, methods of proof (direct, by contradiction, by contraposition, by induction), set theory, graph theory, combinatorics, and discrete probability.
MATH/STAT 300. Modern Probability & Statistics, 3 credits A Calculus-based introduction to probability and the application of mathematical principles to the collection, analysis, and presentation of data. Modern probability concepts, discrete/continuous models, and applications; estimation and statistical inference through modern parametric, nonparametric, and simulation/randomization methods; maximum likelihood; Bayesian methods. This course prepares students for the preliminary P/1 exam of the Society of Actuaries (SOA) and Casualty Actuarial Society (CAS). Prerequisite: MATH 191
MATH 340. Secondary Math Methods, 3 credits Limited to secondary teaching certificate candidates. Current issues, approaches, and materials in school mathematics teaching, including philosophy and objectives, curricula, local/state/national standards, evaluation of current research. Students are required to complete a field component of 25 class contact hours. A minimum of two field components (80 hours) is required after field experience and before student teaching. Prerequisite: MATH 192; EDUC 205, 284, 309 |
Pre-Algebra DeMYSTiFieDPreempt Your Anxiety about Pre-Algebra!Ready to learn math fundamentals but can't seem to get your brain to function? No problem! AddPre-Algebra DeMYSTiFieD, Second Edition to the equation and you'll solve your dilemma in no time.Written in a step-by-step format, this practical guide begins by covering whole numbers, integers, fractions, decimals, and percents. You'll move on to expressions, equations, ratio and proportion, informal geometry, measurement, and graphing. Operations with monomials and polynomials are also discussed. Detailed examples, concise explanations, and worked problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.It's a no brainer! You'll learn: Addition, subtraction, multiplication, and division Techniques for solving equations and problems Measures of length, weight, capacity, and time Methods for plotting points and graphing linesSimple enough for a beginner, but challenging enough for an advanced student,Pre-Algebra DeMYSTiFieD, Second Edition helps you master this essential mathematics subject. |
Cheyney Microsoft ExcelIt Precalculus is that last step in the Algebraic sequence of math taken at the high school level. |
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Overview
BUSINESS MATH, 17E provides comprehensive coverage of personal and business-related mathematics. In addition to reviewing the basic operations of arithmetic, students are prepared to understand and manage their personal finances, as well as grasp the fundamentals of business finances. BUSINESS MATH, 17E prepares students to be smart shoppers, informed taxpayers, and valued employees. Basic math skills are covered in a step-by-step manner, building confidence in users before they try it alone. Spreadsheet applications are available on the Data Activities CD, and a simulation activity begins every chapter. Chapters are organized into short lessons for ease of instruction and include algebra connections, group and class activities, communication skills, and career spotlights.
Related Subjects
Meet the Author
Mary Hansen received her B.A. in mathematics and M.A.T in education from Trinity University in San Antonio Texas. She has taught mathematics and special education and the elementary, high school and college level in Texas, North Carolina and Kansas. She is the author of Business Math, 17e, and the co-author of three high school mathematics textbooks. She currently works as an educational consultant |
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Starting at $026 FUNDAMENTALS OF MATHEMATICS, 9th Edition offers a comprehensive review of all basic mathematics concepts and prepares students for further coursework. The clear exposition and the consistency of presentation make learning arithmetic accessible for all. Key concepts are presented in section objectives and further defined within the context of How and Why; providing a strong foundation for learning. The predominant emphasis of the book focuses on problem-solving, skills, concepts, and applications based on "real world" data, with some introductory algebra integrated throughout. The authors feel strongly about making the connection between mathematics and the modern, day-to-day activities of students. This textbook is suitable for individual study or for a variety of course formats: lab, self-paced, lecture, group or combined formats. Though the mathematical content of FUNDAMENTALS OF MATHEMATICS is elementary, students using this textbook are often mature adults, bringing with them adult attitudes and experiences and a broad range of abilities. Teaching elementary content to these students, therefore, is effective when it accounts for their distinct and diverse adult needs. Using Fundamentals of Math meets three needs of students which are: students must establish good study habits and overcome math anxiety; students must see connections between mathematics and the modern day-to-day world of adult activities; and students must be paced and challenged according to their individual level of understanding. |
New ST Math programs expand the previously offered intervention and fluency programs and help to prepare students for success in Algebra 1. New programs include ST Math: Grade 6, ST Math: Middle School Supplement, and ST Math: High School Intervention.By: Allan Folz. From the technology stand-point, Allan reports that their apps have two fundamental features which set them apart from the typical offerings in the app marketplaces: an adaptive problem generator and screen captures of student's work. |
New approaches to developmental math stress relevance
No
Commentary
By
Ellie Ashford, Published
June 7, 2011
Image
Image Caption
Janice Watley (right), director of Anne Arundel Community College's Student Achievement and Success Program, talks to students about developmental math, goal setting and other strategies to help them succeed in college.
About 60 percent of community college students—as many as 90 percent in some colleges—have to take remedial math courses. And when confronted with the need to take three or more remedial courses just to be ready for college-level math, many struggling students abandon their dreams of a college degree.
"Rather than a gateway to a college education and a better life, mathematics has become an unyielding gatekeeper," Bryk said.
New approaches to developmental math are aimed at making it more relevant to real-world work and more engaging to students.
Robert Farinelli, president of the American Mathematics Association of Two-Year Colleges, believes the movement among states to require everyone seeking an associate degree to take college-level algebra—which stresses equations, functions, graphing and "heavy-duty symbol manipulation"—is misguided. Students who are not planning careers in the fields of science, technology, engineering and math (STEM) probably don't need to know how to factor a polynomial, he said.
Quantitative reasoning
For non-STEM students, Farinelli suggested that courses focusing on "quantitative literacy" or "quantitative reasoning" would be more helpful. Rather than algebra, a statistics course would be more useful for a journalism student, and a nursing student would be better off with a course on math for the health sciences, he said.
According to Farinelli, a math instructor at the Community College of Allegheny County (Pennsylvania), quantitative math helps students adopt "algebraic ways of thinking" by learning to recognize patterns and proportions and apply general principals to specific problems. This kind of math teaches students to think critically and apply logical thinking to everyday issues, such as interpreting poll results and statistics in a newspaper.
Math software helps students master algebra.The Carnegie Foundation is developing two community college math courses that take this approach. Statway combines developmental math and statistics into a year-long course. It will be offered this fall at 19 community colleges in California, Connecticut, Florida, Texas and Washington. Quantway is a semester-long course on quantitative reasoning for non-STEM students that is intended as a replacement for developmental algebra. A second semester course is in the works.
Quantway focuses on 21st century skills, financial literacy and cultivating students' "habits of mind," which Jane Muhich of the Carnegie Foundation described as teaching students "to make sense of quantitative information in real life, not just solving an equation."
Statway and Quantway also aim to address the issue of persistence by offering an accelerated pathway, Muhich said. Under traditional developmental math, a student might have to keep enrolling through five math courses, she said, and those who are not successful tend to drop out. With an accelerated, yet rigorous, pathway, "there are fewer places to stop."
According to Muhich, the Quantway and Statway pathways will incorporate interventions to promote "productive persistence," such as how to prioritize information, take notes effectively, prepare for tests and "develop a more positive mindset."
These students also are required to take part in the resources offered in one of the college's five success centers, said the program's director, Ricardo Diaz. The Math Success Center offers diagnostic testing, tutoring, directed learning activities, learning groups and workshops on such topics as how learning styles affect the ability to learn math and how to take tests better.
Dennis Ebersole, a math professor at Northampton Community College in Pennsylvania, uses a project-based approach to make developmental math more relevant. Students work in small groups using manipulatives, such as "algebra tiles" in different shapes and colors, to visualize math concepts as they solve problems.
Students also work in groups on projects that apply math to real-world issues, such as the income gap between Hispanic and white families. Ebersole said students are more engaged in learning math when they are asked to collect data and interpret the results.
Modular curricula
Anne Arundel Community College in Maryland used a $40,000 Changing the Equation grant from the National Center for Academic Transformation to redesign its developmental math courses. This spring, the college pilot-tested a mastery-based, modular approach. Students work on online math modules at their own pace. The ability to spend a longer time on the units where they have the most difficulty and retake the exam until they pass "reduces their anxiety," said Alicia Morse, chair of the math department.
Students who rush through the units can complete two courses in one term.
In this classroom, "the teacher is no longer front and center," Alicia Morse said. Instead of lecturing, the teacher moves around the room, coaching students, setting goals for them and monitoring their work.
Virginia's community college system is adopting a modular approach to developmental math as part of a "systemic re-engineering" of the entire system to raise completion rates.
"Assessments today offer a green light, red light scenario" in which students take a test to determine whether they have to take developmental math or not, said Jeffrey Kraus, assistant vice chancellor for public relations in the Virginia system.
Instead of having to take a full developmental math course, Virginia's modular initiative will allow a student who needs help in a particular area—such as fractions or proportions—to take an individualized, self-paced module on that topic. Kraus hopes the program could be pilot-tested this fall at Northern Virginia Community College and adopted statewide in spring 2012. |
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Synopsis:
About the Author
Seymour Lipschutz, Ph.D. (Philadelphia, PA), is presently on the Mathematics faculty at Temple Univeristy. He has written more than 15 Schaum's Outlines.Marc Lipson, Ph.D. (Philadelphia, PA), is on the mathematical faculty of the University of Georgia. He is co-author of Schaum's Outline of Discrete Mathematics.
"Synopsis"
by McGraw, |
Binding is slightly damaged and/or book has some loose pages. No missing pages. 100% Money Back Guarantee. Shipped to over one million happy customers. Your purchase benefits ...world literacy!Read moreShow Less
Good condition. Interior is tight and bright. Paperback cover has moderate scuffing and corner bumps from shelf and reader wear. Some underlining and notes. Binding is tight and ...reinforced with clear library tape. 100% Satisfaction Guaranteed. All items are carefully enclosed with bubble wrap. We ship promptly and worldwide via US Post and will email you a tracking numberExcellent condition. Interior is tight, bright and clean. Paperback cover has minor scuffing and corner bumps from shelf wear. Binding is tight and reinforced with clear library ...tape. 100% Satisfaction Guaranteed. All items are carefully enclosed with bubble wrap. We ship promptly and worldwide via US Post and will email you a tracking number. ReadIntended as a bridge from high school Algebra II and trigonometry to college calculus,Warren Esty's Precalculus fills the need for a text that delves deeper into the power of algebra and algebraic notation than the usual texts that emphasize calculation skills. The text includes the usual precalculus material, such as functions, powers, polynomials, logarithms, exponentials, and trigonometry, while placing special emphasis on learning how to read and use mathematical symbolism.
As it is not designed for a terminal course, Precalculus offers students the tools they need to retain what they learn. For example, in addition to the usual calculation problems for practice, the text has problems that ask for an illustration, explanation, or a statement in mathematical notation, rather than just a computation; in fact, some problems ask for the plan and not the answer.
Typically, students do well with algebra if the context is simple and the computation is with numbers; however, they have a harder time at the deeper level required to do word problems and calculus, which ask students to write about operations applied to letters (variables). Thus, texts that duplicate the calculation-oriented algebra of high school without stressing algebraic symbolism–with letters as they appear every day in calculus–fall short in preparing students for higher math. Precalculus does not.
Related Subjects
Meet the Author
Warren Esty is a professor of mathematics at Montana State University, Bozeman. He has a PhD in mathematics focused on probability theory from the University of Wisconsin and a BA from Oberlin College. He has won several of Montana State University's major teaching awards, including the Phi Kappa Phi Distinguished Professor award and the "Teacher of the Year" award in the College of Letters and Sciences. Professor Esty's research interests are mathematics education and statistics in numismatic processes |
Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal methods. Additionally, there are pointers to robust and efficient programs. This book is invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic. First comprehensive treatment of Root-Finding in...
Mathematical Formulas For Industrial and Mechanical Engineering serves the needs of students and teachers as well as professional workers in engineering who use mathematics. The contents and size make it especially convenient and portable. The widespread availability and low price of scientific calculators have greatly reduced the need for many numerical tables that make most handbooks bulky. However, most calculators do not give integrals, derivatives, series and other mathematical formulas and figures that are often needed. Accordingly, this book contains that information in an easy...
Exterior analysis uses differential forms (a mathematical technique) to analyze curves, surfaces, and structures. Exterior Analysis is a first-of-its-kind resource that uses applications of differential forms, offering a mathematical approach to solve problems in defining a precise measurement to ensure structural integrity. The book provides methods to study different types of equations and offers detailed explanations of fundamental theories and techniques to obtain concrete solutions to determine symmetry. It is a useful tool for structural, mechanical and electrical engineers, as...
Mathematical Concepts and Methods in Modern Biology offers a quantitative framework for analyzing, predicting, and modulating the behavior of complex biological systems. The book presents important mathematical concepts, methods and tools in the context of essential questions raised in modern biology. Designed around the principles of project-based learning and problem-solving, the book considers biological topics such as neuronal networks, plant population growth, metabolic pathways, and phylogenetic tree reconstruction. The mathematical modeling tools brought to bear on these...
Calculus of Thought: Neuromorphic Logistic Regression in Cognitive Machines is a must-read for all scientists about a very simple computation method designed to simulate big-data neural processing. This book is inspired by the Calculus Ratiocinator idea of Gottfried Leibniz, which is that machine computation should be developed to simulate human cognitive processes, thus avoiding problematic subjective bias in analytic solutions to practical and scientific problems. The reduced error logistic regression (RELR) method is proposed as such a "Calculus of Thought." This book reviews how...
This book addresses one of the key problems in signal processing, the problem of identifying statistical properties of excursions in a random process in order to simplify the theoretical analysis and make it suitable for engineering applications. Precise and approximate formulas are explained, which are relatively simple and can be used for engineering applications such as the design of devices which can overcome the high initial uncertainty of the self-training period. The information presented in the monograph can be used to implement adaptive signal processing devices capable of...
Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range...
Are you developing strategies for a future sustainable energy supply? Are you designing policies to deploy renewable energy technologies in your country? Are you looking for new tools and measures to make your policies more effective? Are you planning to make decisions on renewable energy investments in certain countries and are you checking their policy robustness? Let the IEA guide you into successful, efficient and effective policies and decisions for accelerating deployment of renewable energy. Learn about the six policy actions that are essential ingredients for your policy...
Swarm Intelligence and bio-inspired computation have become increasing popular in the last two decades. Bio-inspired algorithms such as ant colony algorithms, bat algorithms, bee algorithms, firefly algorithms, cuckoo search and particle swarm optimization have been applied in almost every area of science and engineering with a dramatic increase of number of relevant publications. This book reviews the latest developments in swarm intelligence and bio-inspired computation from both the theory and application side, providing a complete resource that analyzes and discusses the latest and...
Mathematical Models for Society and Biology , 2e, is a useful resource for researchers, graduate students, and post-docs in the applied mathematics and life science fields. Mathematical modeling is one of the major subfields of mathematical biology. A mathematical model may be used to help explain a system, to study the effects of different components, and to make predictions about behavior. Mathematical Models for Society and Biology , 2e, draws on current issues to engagingly relate how to use mathematics to gain insight into problems in biology and contemporary society. For this...
Mereon is an approach to the unification of knowledge that relies on whole systems modelling. It is a scientific framework that charts the sequential, emergent growth process of systems. A dynamic structure, Mereon provides insight and a new approach to General Systems Theory and non-linear science. Mereon evolved through a new approach to polyhedral geometry and topology that is related to the dynamics of the polyhedra. It is related to a large number of systems, physical, mathematical, and philosophical. In linking these systems, Mereon provides access to new relationships among them...
Probability theory is a rapidly expanding field and is used in many areas of science and technology. Beginning from a basis of abstract analysis, this mathematics book develops the knowledge needed for advanced students to develop a complex understanding of probability. The first part of the book systematically presents concepts and results from analysis before embarking on the study of probability theory. The initial section will also be useful for those interested in topology, measure theory, real analysis and functional analysis. The second part of the book presents the concepts,...
Get the latest on rapidly evolving global electricity markets direct from the scholars and thought leaders who are shaping reform. In this volume, dozens of world-class experts from diverse regions provide a comprehensive assessment of the relevant issues in today's electricity markets. Amid a seething backdrop of rising energy prices, concerns about environmental degradation, and the introduction of distributed sources and smart grids, increasingly stringent demands are being placed on the electric power sector to provide a more reliable, efficient delivery infrastructure, and more...
Energy Efficiency: Towards the End of Demand Growth is a detailed guide to new energy efficiency technologies and policy frameworks affecting the profitability of efficiency projects. The contributions drawn together by F.P. Sioshansi feature insights from recognized thought leaders, detailed examinations of evolving technologies, and practical case studies yielding best practices for project planners, implementers and financiers. This volume challenges the "more is better" paradigm in energy production, examining efficiency technologies and measurement across the supply chain. ...
This book is the first on the topic and explains the most cutting-edge methods needed for precise calculations and explores the development of powerful algorithms to solve research problems. Multipoint methods have an extensive range of practical applications significant in research areas such as signal processing, analysis of convergence rate, fluid mechanics, solid state physics, and many others. The book takes an introductory approach in making qualitative comparisons of different multipoint methods from various viewpoints to help the reader understand applications of more complex...
MATLAB for Neuroscientists serves as the only complete study manual and teaching resource for MATLAB, the globally accepted standard for scientific computing, in the neurosciences and psychology. This unique introduction can be used to learn the entire empirical and experimental process (including stimulus generation, experimental control, data collection, data analysis, modeling, and more), and the 2nd Edition continues to ensure that many computational problems can be addressed in a single programming environment. This updated edition features additional material on the creation of...
Practical 3D physics simulation experience with modern feature-rich graphics and physics APIs
Create your own physics simulations and understand the various design concepts of modern games
Build a real-time complete game application, implementing 3D graphics and physics entirely from scratch
Learn the fundamental and advanced concepts of game programming using step-by-step instructions and examples
In Detail
Physics simulation is an integral part of almost all game development projects as it is essential to the rules and feel of the game (gameplay) regardless of the...
Leonardo da Vinci was a brilliant artist, scientist, engineer, mathematician, architect, inventor, writer, and even musician—the archetypal Renaissance man. But he was also, Fritjof Capra argues, a profoundly modern man.
Not only did Leonardo invent the empirical scientific method over a century before Galileo and Francis Bacon, but Capra's decade-long study of Leonardo's fabled notebooks reveal him as a systems thinker centuries before the term was coined. He believed the key to truly understanding the world was in perceiving the connections between phenomena and the larger patterns formed...
Master the PhysX 3 Physics Engine and learn how to program your very own physics simulation
Learn everything you need to know about PhysX programming from scratch
Master the most advanced features of the PhysX Physics Engine
Code examples are included in each chapter to help you learn quickly and efficiently
In Detail
In this day and age, physics engines play a very critical role in the success of a sophisticated game. PhysX is a state-of-the-art cross-platform physics engine widely used by top game studios and developers. It contains all the physics-related...
The behavior of acoustic or electromagnetic waves reflecting off, and scattering from, intercepted bodies of any size and kind can make determinations about the materials of those bodies and help in better understanding how to manipulate such materials for desired characteristics. This book offers analytical formulas which allow you to calculate acoustic and electromagnetic waves, scattered by one and many small bodies of an arbitrary shape under various boundary conditions. Equations for the effective (self-consistent) field in media consisting of many small bodies are derived. These... |
The abstract of this presentation is on solving for minimum values of multivariable functions using Lagrange's Theorem. The problem was proposed in the October 2008 issue of Mathematics Magazine. The problem stated let x, y, and z be positive real numbers with x+y+z = xyz. Find the minimum value of √1+x^2 + √1+y^2 + √1+z^2. The solution of the stated problem was found to be x=y=z=√3, which gave a minimum value of 6.
The model drawing approach to problem solving is used extensively in the math curriculum of Singapore. It takes students from the concrete to the abstract via an intermediary pictorial stage. Students create bars and break them down into "units." The units create a bridge to the concept of an "unknown" quantity that must be found. Students can learn to use this strategy in the primary grades and continue with it through the middle grades. At Worcester State College, we teach this technique to our pre-service elementary teachers.
Mathematics is an integral part of the educational experience of all students. Students arrive at Worcester State College with varying levels of mathematical preparation and are given tests so they are placed into a class for which they are well prepared. This poster presents results of investigations studying the mathematical experience of WSC students. How does a student's level of mathematical preparation affect his or her success in college? How does a student's mathematical achievement while at WSC relate to his or her likelihood of college completion?
FLIGHTS FROM ORLANDO: IS THERE A CONNECTION BETWEEN DISTANCE AND PRICE?
The objective of this problem is to find z/(y + z), given that z/(x + y)= a and y/(x + z)= b. There are two cases for solving this problem: y = z and y ≠ z. In the trivial case, y = z, it is easy to show z/(y + z)=1/2. For the second case, y ≠ z, with algebraic transformations on z/(y + z), and by recognizing algebraic similarities between a + 1 and b + 1 it can be shown that z/(y + z) = (ab + a)/(a + 2ab + b).
In Graph Theory, we can define the "Weiner Index," which is the sum of all the shortest paths in a given graph. Given two specific indexed sets of graphs, namely the Grid and Comb graphs on 2n vertices, the aim of this paper was to characterize the Weiner Index for all the Grid and Comb graphs. In this paper, we do this by using techniques from signal analysis and from the theory of recurrence relations.
Moiré Fringes, which are most often noticed as interference patterns on a TV screen or through a window screen, are the small bands caused by the interference of two iterated patterns. We can describe this interference as a function of the gradients of two iterated functions. This gradient does not only predict the existence of Moiré Fringes, but also their periodicity and density. In this project, we describe how this metric for Moiré fringes works, and provide some examples including mathematical code, which generates images, and associated informational graphs, which show Moiré Fringes. Math majors Jonathan Lussier and Richard Ouellette collaborated on this project.
This is a conference presentation given at the Northwest Mathematics Conference for middle and high school teachers. We consider the Sock Drawer and the Chuck-a-Luck classic probability problems. We illustrate ways to turn them into successful activities for the middle and high school classroom.
We discuss how the Oregon Mathematics Leadership Institute (OMLI) enabled a team of five instructors, including a master teacher and four mathematics faculty, to design and implement a course on non-Euclidean geometry for K-12 teachers. We focus on the intense structure of the course, which was delivered in 15 sessions of two hours each. We also discuss the content of the course, which included units on both taxicab and spherical geometry. Finally, we emphasize the pedagogy of the course, which included hands-on cooperative learning that was carefully orchestrated to ensure everyone's participation, as well as skilled facilitation that was aimed at eliciting productive mathematics discourse, and thus at improving understanding of mathematical concepts.
Mathematicians throughout the years have developed many powerful inequalities relating to acute triangles. One of the more famous is Euler's Inequality, published in 1765, relating a triangle's inradius to its circumradius. Consider an acute triangle with side-lengths a, b, and c, with inradius r and semiperimeter p. James Keenan, a 2008 WSC graduate, and I proved that (1-cosA)(1- cosB)(1- cosC) ≥ cosAcosBcosC(2- (3√3r)/p). In this PowerPoint presentation, I describe our proof, which was accomplished using Euler's Inequality, Heron's
Most of us use cryptography every day without even realizing it. Every time you use your cell phone and every time you buy a book online, you are using cryptography to send encrypted messages. In this poster we outline the basics of the cryptography involved and indicate how advanced mathematics is used in these everyday transactions.
THE TRIVIALITY AND NONTRIVIALITY OF TATE-LICHTENBAUM SELF PAIRINGS ON JACOBIANS OF CURVES
Let E be an elliptic curve defined over a finite field F and suppose that E[n] is defined over F. For attacking the elliptic curve discrete logarithm problem it is useful to know when points pair with themselves nontrivially under the Tate-Lichtenbaum pairing. In this paper we characterize when all points in E[n] have trivial self pairings. This result is expressed in terms of the action of the Frobenius endomorphism on E[n^2]. We give examples of how this result can be used to derive some well-known residuacity laws. We then generalize the elliptic curve result to Jacobians of algebraic curves of arbitrary genus.
This paper addresses the study of the homogenization problem associated with propagation of long wave disturbances in materials whose properties exhibit not only spatial but also temporal inhomogeneities (called dynamic materials). Homogenization theory is employed to replace an equation with oscillating coefficients by a homogenized equation. Two typical examples of periodic homogenization are considered: the wave equation and Maxwell's system coefficients oscillating rapidly not only in space but also in time. Conditions that generate applicability of the homogenization procedure to dynamic materials composites are developed. The effective tensors of rank-one laminates for one-dimensional wave equation and the full Maxwell's system are computed explicitly. We also note some dramatic differences between the hyperbolic and the elliptic cases. |
Secondary Solutions
Intelligent mathematics software that adapts to meet the needs of ALL students.
Based on over 20 years of research into how students think and learn, the Cognitive Tutor software was developed around an artificial intelligence model that identifies weaknesses in each individual student's mastery of mathematical concepts. It then customizes prompts to focus on areas where the student is struggling, and sends the student to new problems that address those specific concepts.
The Cognitive Tutor software complements our textbooks. Additionally, it can be used as supplemental curricula for interventions, summer school, and other implementation options. Features include:
When purchased as a standalone software title, the software is installed via an installation CD. Single copies are not available for purchase with a LAN, remote hosted, or web-based implementation option. |
Applied Mathematics for Physical Chemistry2759
FREE
About the Book
"Applied Mathematics for Physical Chemistry" is the perfect resource for students who need to refresh themselves on the algebra and calculus required to understand thermodynamics, atomic and molecular structure, spectroscopy, and statistical mechanics. Designed to supplement all textbooks of physical chemistry, this book will help today's physical chemistry students succeed in their course. This book features:
Introductory chapters that deal with coordinate systems, functions and graphs, and the use of logarithms.
Chapters on differential and integral calculus.
A chapter of mathematical methods in the laboratory, including error analysis, propagation of errors, linear regression calculations, and preparing graphs.
An introduction to differential equations.
A chapter illustrating the use of Fourier series and Fourier transforms.
Problems at the end of each chapter, with answers to all problems in an appendix.
New to this edition:
A completely revised chapter on "Numerical Methods and the Use of the Computer" that illustrates how to complete calculations using Microsoft Excel(TM). |
Elements of Number Theory - 02 edition
Summary: This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and ideals. The development of these ideas, and the transition from ancient to modern, is the main theme of the book. The histori...show morecal development has been followed where it helps to motivate the introduction of new concepts, but modern proofs have been used where they are simpler, more natural, or more interesting. These include some that have not yet appeared in textbooks, such as a treatment of the Pell equation using Conway's theory of quadratic forms. Also, this is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study |
More About
This Textbook
OverviewBlitzer continues to raise the bar with his engaging applications developed to motivate readers from diverse majors and backgrounds. Thinking Mathematically, Fifth Edition, draws from the author's unique background in art, psychology, and math to present math in the context of real-world applications. The author understands the needs of nervous readers and provides helpful tools in every chapter to help them master the material. Voice balloons are strategically placed throughout the book, showing what an instructor would say when leading a student through a problem. Study tips, chapter review grids, Chapter Tests, and abundant exercises provide ample review and practice.
Product Details
ISBN-13: 9780321691125
Publisher: Pearson
Publication date: 1/28/2010
Edition number: 5
Pages: 960
Sales rank: 1,093,984
Product dimensions: 8.30 (w) x 10.90 (h) x 1.20 (d)'s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Thinking Mathematically, Bob has written textbooks covering introductory algebra, college algebra, algebra and trigonometry, and precalculus, all published by Prentice Hall. When not secluded in his Northern California writer's cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters |
Algebra II-Section 2
Welcome to Mrs. DIChiaro's Algebra II-Section 2
Welcome to
Algebra II. I look forward to a productive year in which you
will enhance your algebra skills and put them to use to evaluate some
real world situations. We will also be working on concepts and skills
that will help you in your physics class. Communication in this class
will happen in four ways: verbally, numerically, analytically and
graphically. |
First Course in Wavelets with Fourier Analysis
This book fills the gap between volumes on wavelets that are either "too advanced" (in terms of mathematical background required) or that contain ...Show synopsisThis book fills the gap between volumes on wavelets that are either "too advanced" (in terms of mathematical background required) or that contain "too little" mathematical theory underlying wavelets. It presents most of the theory underlying Fourier analysis and wavelets in a clear and comprehensive fashion-- "without" requiring advanced background in real analysis. Provides a careful balance between theory and practical algorithms, and features a clear presentation of applications to digital signal processing--e.g., data compression, digital filtering and singularity detection. Includes illustrations and MATLAB code used in many of the algorithms. Inner Product Spaces. Fourier Series. The Fourier Transform. Discrete Fourier Analysis. Wavelet Analysis. Multiresolution Analysis. The Daubechies Wavelets. For anyone interested in Wavelets and Fourier Analysis |
This course extends the concepts, techniques and applications of an introductory calculus course. We'll detect periodicity in noisy data, and study functions of several variables, integration, differential equations, and the approximation of functions by polynomials. We'll continue the analysis of dynamical systems taking models from student selected primary literature on ecology, economics, epidemiology, and physics. We will finish with an introduction to the theory and applications of Fourier series and harmonic analysis. Computers and numerical methods will be used throughout. In addition to regular substantial problem sets, each student will apply the concepts to recently published models of their choosing. Pre-requisite: Calculus in Context (NS 260) or another Calc I course.
Course Objectives:
There are several course objectives:
To learn mathematical techniques that are traditionally in a Calc 2 course (integrals, FTC, functions of several variables, series and sequences).
To learn about applications with periodicity, dynamical systems, and functions of several variables.
To become familiar with basic programming in Sage (Python).
Evaluation Criteria:
You will be evaluated on the following:
Weekly preparation (on Moodle as quizzes) due on Mondays.
Weekly assignments due on Fridays.
Being an active class participant (includes attendance, participating in discussions, working with classmates).
Additional Info:
Course Expectations
I expect that you will need to spend between 6-10 hours a week outside of class developing your understanding of Calculus. Organizing your time wisely and staying on top of assignments will allow you to really learn the material. Working with other students is encouraged - remember, teaching someone else is the best way to test your understanding. Improvement is the most important thing.
We will be using Sage, a python-based software system. I will need to assign you a username/password (your username will be your standard Hampshire login) before you can access the worksheets at sage.hampshire.edu. |
Mathematics & Information Technology
Mathematics
At Narrabundah College students are encouraged to study a combination of units which cover a broad range of topics appropriate to their needs and interests. During their studies they will develop an understanding of the scope and value of mathematics, through the use of traditional techniques, project work, discussions and presentations. Assessment in each unit includes factors such as class work, assignments/projects and tests. Students may study mathematics as a double-major (7 standard units), a major-minor (5.5 standard units), a major (3.5 standard units) or a minor (2 standard units).
There are four mathematics courses offered at the college-
Specialist Mathematics (T) is designed to prepare students for university studies which assume a high level of understanding of mathematics and a creativity in its use, such as scientific research, actuarial studies, engineering, computer science and mathematics itself. Topics covered include coordinate geometry, calculus, matrices, trigonometry, statistics, logic, vectors, complex numbers and abstract algebra. Students should have achieved above average grades at the top level of high school mathematics. The course is offered as a major (consisting of the Specialist Core units), or as a major-minor or double- major (consisting or the Specialist Core units and sufficient of the Specialist Option units to form either a major-minor or double-major).
Mathematical Methods (T) is designed to prepare students for university studies in subjects which involve a significant amount of mathematics (including calculus), such as accounting, commerce and applied sciences. Topics covered include coordinate geometry, calculus, matrices and statistics. Students should have achieved above average grades at a reasonably advanced level of high school mathematics. The course is offered as a major or minor.
Mathematical Applications (T) is designed to provide background for students wishing to enter tertiary studies in subjects which involve quantitative elements such as nursing, psychology, sociology, education, administration and laboratory technology. Students should have achieved above average grades at least at a general level of high school mathematics. The course is offered as a major or minor.
General Mathematics (A) is designed for students who do not intend to count mathematics as part of a tertiary entrance score, but wish to continue some mathematics after high school. The course is primarily for people entering the workforce and for the use of mathematics in day to day life. Topics covered include geometry, measurement, trigonometry, personal finance, business mathematics and statistics. The student who achieves a high grade at this level would usually meet the requirements of office and industry. The course is offered as a major or a minor.
Single units may be studied in any of the courses provided prerequisites are met.
For further information contact the Executive Teacher of Mathematics or refer to the Maths section of the Student Directory (55 kb).
Information Technology
Information Technology emphasises problem solving and team work skills for a rapidly changing society. A knowledge of information technology is becoming more and more necessary for daily life at home, work and in education. Just one of the units will give you invaluable skills for the workplace, further study or personal use. A full course will give you good preparation for university study.
Within the IT course, there are a number of pathways available, catering for a wide range of student interests. Students may choose to follow a distinct pathway, or they may combine units from different pathways.
The full course gives you strong preparation for further study at university or CIT. Over the two years you may receive a Certificate 2 in Information Technology, a nationally accredited Vocational Qualification, and work towards a Certificate 3. This provides you with advanced standing or credit towards further studies.
Computer Operation (A/V)
This accredited course emphasises problem solving and is creatively oriented to provide the opportunity for students to develop computing skills which you will need in future employment or study.
Regardless of your package of study, you will need computer skills to assist in and deliver effective communication.
Units available are:
- Desktop publishing, spreadsheet presentations and databases
- Event Driven Programming
- Animation and Graphics
- Hardware and Network fundamentals
- Workplace learning (work placement)
Business Administration (A/V)
There is increasing pressure on students to be computer competent and in the near future, most jobs will require a high level of computer literacy. This nationally recognised vocational accredited course gives students the opportunity to gain these skills.
In addition to this, students will also gain many skills in office management which will improve their employment prospects. Successful students who complete the course will gain Certificate II, which will give them advance standing for courses at a TAFE or other recognised training organisation. |
Algebra doesn't have to be scary
Arica Hawley used to dread math class. She would look at problems and not even know where to begin. When Hawley, 37, went back to Tacoma Community College last fall to finish her associate's degree, she placed into a pre-algebra course—eighth-grade-level material.
Her mindset didn't change until she took Statway, a college-level statistics course for students who need to master high-school algebra. She earned a math credit, and gained the confidence she needed to switch to a math- and science-heavy nursing program.
Many community-college students never make it to graduation because they can't pass developmental, or remedial, math. Two courses from the Carnegie Foundation for the Advancement of Teaching and its partners prove that a more engaging curriculum and teaching method can help students succeed. |
This is a free online textbook that is linked to the overall site, All About Circuits. This book covers References:...
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This is a free online textbook that is linked to the overall site, All About Circuits. This book covers References: Conversion Factors, Resistor Color Codes, Math References, Periodic Table, etc. and provides photographs and illustrations in addition to content. One can also access Worksheets and Recorded Videos at the main site,
This is a free online textbook that is linked to the overall site, All About Circuits. This book covers Experiments: Test...
see more
This is a free online textbook that is linked to the overall site, All About Circuits. This book covers Experiments: Test Equipment, DC Circuits, AC Circuits, Discrete Semiconductor Circuits, etc., and provides photographs and illustrations in addition to content. One can also access Worksheets and Recorded Videos at the main site,
Collection of materials designed to bridge the gap between the way mathematicians typically teach vector calculus and way it...
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Collection of materials designed to bridge the gap between the way mathematicians typically teach vector calculus and way it is used by other scientists and engineers.(These materials are not technology-based.)
Calculus-Based Physics is a two-volume introductory physics textbook complete with ancillary materials. The book itself is...
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Calculus-Based Physics is a two-volume introductory physics textbook complete with ancillary materials. The book itself is provided in pdf and MS Word. It can be used as is but users are encouraged to edit it to suit their own needs. Ancillary materials include screen-capture video solutions (with audio) to physics problems and Blackboard Learning System^TM on-line quizzes with extensive feedback.
Challenges for Electronics is a suite of seven educational programs for electricity, electronics and math. The titles of the...
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Challenges for Electronics is a suite of seven educational programs for electricity, electronics and math. The titles of the seven programs are Basic Circuits Challenge, DC Circuits Challenge, AC Circuits Challenge, Trigonometry Challenge, Digital Challenge, Solid State Challenge and Power Supply Challenge. Each program contains several interactive activities. Activities for both circuit analysis and troubleshooting are included. The programs grade and correct all student work immediately. Student scores can be stored on diskettes or printed. The material is suitable for use as a supplement to classroom or tutorial instruction. The programs can also be used as a refresher course for employees who have already had basic electrical or electronics training. The programs run for ten executions of any time length. After ten executions, the programs become limited capability demos. |
05217536 and Assessing Skills in Mathematics (Cambridge International Examinations)
The handbooks provide clear practical and up-to-date adviceon teaching and assessing skills across a range of core subject areas for IGCSE and O Level;they can also be used by teachers delivering local syllabuses in the subject. They offer ideas and strategies for effective classroom practice, the setting of coursework, assessing students' work and the integration of different skills. Readers can 'dip into' the books to read up on a particular topic or approach and the material is relevant to both new and experienced teachers alike. All authors are experienced teachers, teacher trainers and examiners |
Video Summary: This learning video introduces students to the world of Fractal Geometry through the use of difference equations. As a prerequisite to this lesson, students would need two years of high school algebra (comfort with single variable equations) and motivation to learn basic complex arithmetic. Ms. Zager has included a complete introductory tutorial on complex arithmetic with homework assignments downloadable here. Also downloadable are some supplemental challenge problems. Time required to complete the core lesson is approximately one hour, and materials needed include a blackboard/whiteboard as well as space for students to work in small groups. During the in-class portions of this interactive lesson, students will brainstorm on the outcome of the chaos game and practice calculating trajectories of difference equations |
thorough presentation of the methods for solving ordinary and partial differential equations, designed for undergraduates majoring in mathematics. The book includes detailed and well motivated explanations followed by numerous examples, varied problem sets, and computer generated graphs of solutions and applications. This book varies from Elementary Differential Equations, 4th Edition, in that it includes an extra chapter on Boundary Value Problems. A WIE version of this book is planned for simultaneous publication. |
"Want to pass that math exam?"
Study with the help of this app and start understanding everything about maths
Mathscard a-level is an Android application created by Loughborough University that includes many examples of math formulas and graphs that will help students study and review for their exams.
This is appropriate for AS and A2 math level and for using it you just need to tap on the subject you want to read about and navigate through the content (Vectors, Numerical methods, Circle & Coordinate geometry and some more). In addition, there's also an index with all the contents included in the app in case you want to look through it and decide depending on your mood. This tool is very useful for students and people who enjoy maths and want to review their knowledge. The design is great, the interface is clean and easy to use and there are no bugs, apparently. If you were looking for a tool that helped you study maths, this will be the perfect choiceV.good when the one needs for cramming the topics, provides quick and easy info which helps with last-minute revision
(69)
by Anusha Subashkaran on 21/01/2014
I have the pocket size paper booklet provided from my school; this introduced me to the app. An amazing app that truly is useful at times of mathematical peril! Thank you for creating this awesome app that I will definitely be recommending! The only impro
(69)
by Emily Morton on 07/01/2014
Great summary of topics, helpful for revision on the go :)
(69)
by James Shinner on 14/01/2013
Useful content. However, titles on start screen fail to display properly. This is a key part of the app and needs fixing right away!
(69)
by A Google User on 25/11/2012
Has many integration formulas, tips, and tricks. Some of which you may not know. I'm a diff eq student and even I learned some new things! Only issue is that the chapter and names of sections don't display text, at the start screen, so I have to guess wha
(69)
by thaslima on 25/10/2011
It covers everything, but I think 5MB too much.
(69)
by LuAnn on 06/07/2011
Great review. You have to have a good grasp of the functions in order to understand it tho. |
Interpol8eDeliverable Titles total 15 copies
About the Book
In the mathematical subfield of numerical analysis, interpolation is a procedure that assists in "reading between the lines" in a set of tables by constructing new data points from existing points. This rigorous presentation includes such topics as displacement symbols and differences, divided differences, formulas of interpolation, much more. 1950 edition. |
Do the Math: Secrets, Lies, and Algebra
In the eighth grade, 1 math whiz < 1 popular boy, according to Tess's calculations. That is, until she has to factor in a few more variables, like:
1 stolen test (x),
3 cheaters (y),
and 2 best friends (z) who can't keep a secret.
Oh, and she can't forget the winter dance (d)!
Then there's the suspicious guy Tess's parents know, but that's a whole different problem—
Sydney (Fair Oaks Ranch, TX)
Do the Math: Secrets, Lies, and Algebra by Wendy Lichtman was awesome! I really enjoyed the various chacters and the fast paced plot! I might have learned some math along the way too! :) I rate this book an 8/10!
—
Allie (Forest Hill, MD)
This was a very interesting book. It had a new way of looking at life: through math. As the main character discovers, math is so logical that it can often help to solve problems in real life--and she has some big ones. Any math lover would instantly love this book, and anyone else would love it also for its unique perspective on life. I would highly recommend it to anyone, even those who think math is useless (maybe this will change their minds).
—
Molly (Agua Dulce, CA)
This wonderful, witty book puts things in a refreshingly new perspective, relating everyday things to math in a way that will have you thinking. This book evokes an interest in math without being a textbook and also allows us to enter the world of a typical teenage girl. This book combines typical teenage life and math in a way that will make you excited for math class.
Do the Math #2: The Writing on the Wall |
Sal spends most this video explaining what the Mean Value Theorem says in a very intuitive way. He follows this with a concrete example of finding the value of a function on a closed interval where the slope is the same as the average slope of the function over that interval. Here, Sal also uses and informally defines the terms: continuous function, differential, and closed and open interval.
Students explore and examine the continuity of three functions: horizontal zooming, polynomial function, and oscillating functions. They practice graphing functions, generating tables and navigating the zoom, vars and test menus on their graphing hand held calculators.
In this multivariable function instructional activity, students find the limits of a function, identify the domain, and explore continuous functions. This two page instructional activity contains explanations, definitions, and examples. There are approximately four multi-step problems in this instructional activity.
In this continuous function worksheet, students determine the average velocity of objects over given intervals of time. They compute the derivative of functions and determine the slope of a line. This four-page worksheet contains approximately 25 multi-step problemsMath may have one right answer, but there can be multiple ways to find that answer. Input and output are the foundation of functions, and this activity allows pupils to chose their method to solve for a future output. Bring this activity into your classroom and let your learners practice with graphing, tables, or equations to find the solution from given data. Teacher notes and follow-up questions are provided as well as solutions for the different methods.
Katie won an MP3 player and needs to pick a download site to get some music, is it cheaper to pay the joining fee or pay per song? The task of this problems allows for multiple solution strategies to compare the properties of each function. The answer key is included and shows options for graphing, table, and equations. The facilitator notes provide extra questions to ask your learners along the way to encourage discussion about the topic as a class or within groups.
Sal explores more complex limit problems including showing how to take the limit of an expression with a square root by using the conjugate and how to simplify trigonometric functions that are part of limit problems. Note: A mistake is made on the last step of first problem where multiplication should have been used instead of addition, resulting in the correct answer of 3/16.
There are four fundamental theorems of mathematics: arithmetic, algebra, calculus, and linear algebra listed here. Each one is described on this poster or handout. The challenge for a student of math is to figure out why they are true.
Learners investigate the intervals represented by a function in this calculus lesson. They decide what interval of the function will be positive, negative or zero. They are then given graphs of functions and asked to analyze it.
Students solve problems using the unit circle. In this precalculus lesson, students identify angles using the properties of the unit circle. They observe the trigonometric graphs and sine, cosine and tangent.
The highlight of this series is activitiy #4. Anatomy pupils examine slides of three unknown cells. With the function of the nervous system in mind, they consider the structure of each and try to guess which one is part of that system. In other activities, they examine the nervous system of earthworm and grasshopper specimens, or they study drawings of different animal nervous systems. The drawings unfortunately aren't included in this resource; however, they can be accessed through the National Science Teachers Association website.
Participate in a life science unit that examines the relationships of living organisms to each other and to their environment as well as the student's role in the cycle of life. Through hands-on activities, research, and scientific investigations they explore the problem of persistent pollutants and their harmful effects on both humans and ecosystemsInvestigate non-linear functions based upon the characteristics of the function or the representation of the function. The functions are displayed in multiple formats including as graphs, symbols, words, and tables. Learners use written reflection scored on a rubric to assess understanding |
Elementary Number Theory, Seventh Edition, is written for the one-semester undergraduate number theory course taken by math majors, secondary education majors, and computer science students. This contemporary text provides a simple account of classical number theory, set against a historical background that shows the subject's evolution from antiquity to recent research. Written in David Burton's engaging style, Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history. |
Tagged Questions
Mathematics education consists in the practice of teaching and learning mathematics, along with the associated research. Research in mathematics education concerns the tools, methods and approaches that facilitate the practice of mathematics or the study of this practice.
I quote Thomas W.Tucker $\,$ "... By the way, I view the Constant Function Theorem as even more basic than the IFT. It would be nice to use it as our theoretical cornerstone, but I know of no way to ...
This is a (soft!) question for students of set theory and their teachers.
OK: ZFC is the canonical set theory we all know and love. But what other, alternative set theories, should a serious student ...
Let us assume that all functions are continuous. I was teaching my calculus students the other day. We were talking about what points of non-differentiability look like. Two ways a function can fail ...
Flexagons strike me as objects that would admit investigation in a first course in modern algebra. I'm surprised to be unable to find a reference discussing flexagons using modern algebra language. ...
I can easily understand the advantage of multiple-choice questions for instance in grading and so. A drawback is that real life problem don't have multiple choice questions all the time for instance ...
Starting from tomorrow, I will be tutoring some undergraduate students following a course in general topology. I am looking for examples motivating the importance of topology in mathematics which can ...
I'm in search of a mathematical analysis text that covers at least the same material as Walter Rudin's Principles of ... but does so in much more detail, without relegating the important results to ...
While it is fairly straightforward to show the basics of the normal distribution in a first year undergraduate course, how does a teacher provide good intuition when the Student distribution comes in?We all know that when learning math, one has to do more than just simply read - one must try to solve problems and work actively with the material.
Many books try to force the reader to participate ...
Lets say someone (a reputable or non reputable mathematician) has come up with a remarkable one page proof to a famous maths problem.
Lets say the proof is likely correct but hasn't been released to ...
I plan to teach two sessions of probability to 11th grade students using a deck of cards. My classes will be next week. I have already taught them the basic notions of writing sample spaces, computing ...
I'm writing an article on Lychrel numbers and some people pointed out that this is completely useless.
My idea is to amend my article with some theories that seemed useless when they are created but ...
During the fall semester, I had to give an exercise class to second year math students, as support for a theoretical class loosely based on the book `Differential geometry of curves and surfaces' by ...
I have just started teaching a very elementary class for 1st year students on introductory pure mathematics. ( classes at my institution are groups up to 20 students and supplement the lectures. The ...
I am teaching a course on proof. We have learned the methods of proof: direct proof, proof by contrapositive, by contradiction, by induction, etc. We have also done cardinality, modular arithmetic, ...
How to learn about interesting topics in a small group of people?It seems very useful to broaden your mathematical background and get to know topics that are away from your field of specialization.
...
Does anyone know where I could find a book or resource of very simple intuitive proofs of the basic results in Geometry? I tutor geometry to middle schoolers, and find that due to shoddy mathematical ...
In a presentation I will have to give an account of Hilbert's concept of real and ideal mathematics. Hilbert wrote in his treatise "Über das Unendliche" (page 14, second paragraph. Here is an English ...
Let me begin with some background: I used to enjoy mathematics immensely in school, and wanted to pursue higher studies. However, everyone around me at that time told me it was a stupid area (that I ...
$$
\binom{12}6 = \frac{12\cdot11\cdot10\cdot9\cdot8\cdot7}{6\cdot5\cdot4\cdot3\cdot2\cdot1} = 924.
$$
Sometimes it's hard to talk students out of computing both the numerator and the denominator in ... |
Morgans Point, TX Precalculus help students develop the ability to see computational problems from a mathematical perspective. Discrete math is normally divided into six areas: sets, functions, and relations; basic logic; proof techniques; counting basics; graphs and trees; and discrete probability. I show students how these topics are interwoven with computer science applications |
Presents
a set of problem solving techniques for thinking about the puzzles and questions
of mathematics. Each of the eight techniques is accompanied by practice
questions to consolidate the skill. The book also contains 100 additional
problems for students to attempt as their problem solving skills increase. more...
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This major summary of the current state of archaeological research on the Swift Creek culture is the first comprehensive collection ever published concerning the Swift Creek people. The Swift Creek people, centered in Georgia and surrounding states from A.D. 100 to 700, are best known from their pottery, which was decorated before firing with... more... |
Graphing Calculactor Manual for the TI-83, Plus TI-84 and the TI-89 -Accompany the Triola Statistics Series - 07 edition
Summary: TI-83/84 Plus and TI-89 Manual is organized to follow the sequence of topics in the text, and it is an easy-to-follow, step-by-step guide on how to use the TI-83/84 Plus and TI-89 graphing calculators. It provides worked-out examples to help students fully understand and use the graphing calculator |
fifth edition, A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics—including computers, perfect numbers, and four-dimensional geometry—to exemplify the distinctive features of mathematics as an intellectual endeavor, a problem-solving tool, and a way of thinking about the rapidly changing world in which we live. A Mathematics Sampler also includes unique LINK sections throughout the book, each of which connects mathematical concepts with areas of interest throughout the humanities. The original course on which this text is based was cited as an innovative approach to liberal arts mathematics in Lynne Cheney's report, "50 HOURS: A Core Curriculum for College Students", published by the National Endowment for the Humanities. |
Complete Mathematics for GCSE and Standard Grade (Mathematics)
Description: Written by an experienced teacher and examiner, Complete Mathematics for GCSE and Standard Grade is an ideal book for average-ability students. Groundwork is covered in the first section and then thoroughly revised in the second section beforeMore...
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Written by an experienced teacher and examiner, Complete Mathematics for GCSE and Standard Grade is an ideal book for average-ability students. Groundwork is covered in the first section and then thoroughly revised in the second section before harder topics are approached. Key Points: · Carefully graded practice questions to consolidate basic techniques · Problems and investigations to develop skills required for coursework · Emphasis on everyday situations relevant to the demands of future employment · Complete set of answers |
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Starting at $55Chapter Test Prep (Standalone) for Beginning and Intermediate Algebra : Building a Foundation
MathXL Tutorials on CD for Beginning and Intermediate Algebra : Building a Foundation
Student's Solutions Manual for Beginning and Intermediate Algebra : Building a Foundation
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Worksheets for Classroom or Lab Practice for Beginning and Intermediate Algebra : Building a Foundation
Summary
AuthorsPaula McKennaandHoney Kirkhail from the state of Texas, where they teach students of all ages, skill sets, and backgrounds. As active teachers in diverse classrooms, their aim is to provide developmental students with a solid mathematical foundation, while also giving them the means to expand on that foundation after they leave the classroom. As authors, they help students build their mathematical foundation by teaching algebra as a story, emphasizing applications, problem solving, and language to help students understand how topics relate to one another and to the world around them. They begin this book with a thorough review of prealgebra to ensure that students begin building their algebra skills on a solid base, and each chapter opens with an application that serves as a running theme for the content throughout the chapter. The authors make problem solving easy for students through the "4 Prs"s" problem-solving process (Prepare, Plan, Process, and Ponder), which encourages critical thinking and thoughtful discussion. Review of Real Numbers and Problem Solving; Equations and Inequalities in One Variable and Applications; Linear Equations, Inequalities, and Introduction to Functions; Linear Systems of Equations and Inequalities; Exponents, Polynomials, and Applications; Factoring Polynomials; Rational Expressions; Roots and Radicals; Functions; Complex Numbers and Quadratic Equations; Conic Sections; Inverse, Exponential and Logarithmic Functions For all readers interested in algebra.
Author Biography
Paula McKenna (San Antonio College) is a native Texan who received a B.S. in mathematics, graduating magna cum laude, and an M.S. in mathematics, from the University of Texas at San Antonio. As a young adult, she worked in the business world before realizing that she wanted to finish her education. She knew that teaching was her destiny the first day she walked into a classroom. After teaching at her alma mater, she elected to move to the community college classroom and joined the faculty at San Antonio College in 1994. Her motivation to write a developmental mathematics textbook came from her students. Paula wanted to write a text that would be both mathematically accurate and easily understood by developmental students. She asked Honey Kirk to join her in this endeavor, and they worked together, writing each chapter as they would teach it.
Honey Kirk (Palo Alto College) received a B.A. in mathematics and psychology from Washington and Jefferson College, an M.A. in education from Pepperdine University, and an M.S. in mathematics from the University of Texas at San Antonio. As an army wife of 30 years, she taught mathematics to students of all ages in many states, as well as overseas in Germany and Korea. She and her husband are now settled in Texas where Honey is a community college professor at Palo Alto College in San Antonio. As an empty-nester, she decided it was time to incorporate all the great teaching strategies she learned through the years from her students and colleagues into a series of developmental math textbooks.
Table of Contents
Normal 0 false false false
Review of Real Numbers and Problem Solving
Sets, Symbols, and Real Numbers
Review of Fractions and Decimals
Addition and Subtraction of Real Numbers
Multiplication, Division, and Properties of Real Numbers
Exponents, Order of Operations, and Algebraic Expressions
Reading and Interpreting Graphs and the Coordinate Plane
Problem Solving: The 4P's Method
Summary
Review
Test
Equations and Inequalities in One Variable and Applications
Properties of Equality and Linear Equations
Linear Equations Involving Grouping Symbols and Fractions
Literal Equations and Applications
Linear Inequalities
Compound and Double Inequalities
Absolute Value Equations and Inequalities
Additional Applications
Summary
Review
Test
Linear Equations, Slope, Inequalities, and Introduction to Functions
Linear Equations in Two Variables
The Intercept Method
The Slope andy-Intercept Method
Determining the Equation of a Line, Parallel Lines, and Perpendicular Lines |
Questions About This Book?
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Elementary Algebra, 5th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of the text is the development of the skills necessary for solving equations and inqualities, followed by the application of those skills to solving applied problems |
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A History of the French New Wave Cinema English | 440 pages | ISBN-10: 0299217043 | PDF | 9.09 MB
The French New Wave cinema is arguably the most fascinating of all film movements, famous for its exuberance, daring, and avant-garde techniques. A History of the French New Wave Cinema offers a fresh look at the social, economic, and aesthetic mechanisms that shaped French film in the 1950s, as well as detailed studies of the most important New Wave movies of the late 1950s and early 1960s.
Practice makes perfect-and helps deepen your understanding of algebra 1,001 Algebra I Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Algebra I For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in algebra. You start with some basic operations, move on to algebraic properties, polynomials, and quadratic equations, and finish up with graphing. |
Note that, if you ever have any problems viewing Apps in your browser, or simply want to work offline, you can always download a Möbius App and view it in Maple or the free Maple Player. To download a Möbius App, follow the link to the App and then click on the Download button near the top left of the page.
And remember, we are now accepting entries for the next quarterly prize. You could win a Music Prize Pack, including the 64GB 5th Generation Apple iPod Touch, Sennheiser In-Ear Noise Cancelling Headphones and the Bose SoundLink Bluetooth Speaker III! See the Möbuis App Challenge for details.
This is a mini-course I gave in Brazil last week, at the CBPF (Brazilian Center for Physics Research). The material will still receive polishment and improvements, towards evolving into a sort of manual, but it is also interesting to see it exactly as it was presented to people during the course. This material uses the update of Physics available at the Maplesoft Physics R&D webpage.
I think we all know the routine. We walk to a large classroom, we sit down for a test, we receive a large stack of questions stapled together and then we fill in tiny bubbles on a separate sheet that is automatically graded by a scanning machine. We've all been there. I was thinking recently about how far the humble multiple choice question has come over the last few years with the advent of systems like Maple T.A., and so I did a little research.
Multiple choice questions were first widely-distributed during World War I to test the intelligence of recruits in the United States of America. The army desired a more efficient way of testing as using written and oral evaluations was very time consuming. Dr. Robert Yerkes, the psychologist who convinced the army to try a multiple choice test, wanted to convince people that psychiatry could be a scientific study and not just philosophical. A few years later, SATs began including multiple choice questions. Since then, educational institutions have adopted multiple choice questions as a permanent tool for many different types of assessments.
One of the biggest advances in the use of multiple choice questions was the birth of automatic grading through the use of machine-readable papers. These grew in popularity during the mid-70s as teachers and instructors saved time by not having to grade answer sheets manually.
Until recently, there has not been much advancement in this area. It's true, Maple T.A. can do so much more than just multiple choice questions, so this style of question is less important in large-scale testing than it used to be. But multiple choice questions still have their place in an automated testing system, where uses include leveraging older content, easily detecting patterns of misunderstanding, requiring students to choose from different images, and minimizing student interaction with the system. Luckily, Maple T.A. takes even the humble multiple choice questions to the next level. Now you might be thinking, how is that even possible given the basic structure of multiple choice questions? What could possibly be done to enhance them?
Well, for starters, in Maple T.A., you can permute the answers. This means you have the option to change the order of the choices for each student. This is also possible with machine-readable papers, but this does require multiple solution sets for a teacher or instructor to keep track of. With Maple T.A., everything is done for you. For example, if you have a multiple choice question in Maple T.A. with 5 answer choices, there are 120 different possible answer orders that students can be presented with. You don't have to keep track of extra solution sets or note which test version each student is receiving. Maple T.A. takes care of it all.
Maple T.A. allows you to create Algorithmic questions - multiple choice questions in which you can vary different values in your question. And you aren't limited to selecting values from a specific range, either. For example, you can select a random integer from a pre-defined list, a random number that satisfies a mathematical condition, such as 'divisible by 3' or 'prime', or even a random polynomial or matrix with specific characteristics. It allows an instructor to create a single question template, but have tens, hundreds, or even thousands of possible question outcomes based on the randomly selected values for the algorithmic variables. The algorithmic variables not only apply to the question being asked by a student, but also the choices they see in a multiple choice question.
You can even create a question where every student gets the same fixed list of choices, but the question varies to ensure that the correct response changes. That's going to confuse some students who are doing a little more "collaboration" than is appropriate!
Some of the other advantages of using Maple T.A. for multiple choice are also common to all Maple T.A. question types. For example, you can provide instant, customized feedback to your students. If a student gets a multiple choice question correct, you can provide feedback showing the solution (who is to say the student didn't guess and get this question correct?) If a student gets a multiple choice question incorrect, you can provide targeted feedback that depends on which response they chose. This allows you to customize exactly what a student sees in regards to feedback without having to write it out by hand each time.
And of course, like in other Maple T.A. questions, multiple choice questions can include mathematical expressions, plots, images, audio clips, videos, and more – in the questions and in the responses.
Finally, let's not forget, in an online testing environment, there is no panic when you realized you accidently skipped line 2 while filling out your card, no risk of paper cuts, and no worrying about what kind of pencil to use! |
098 Developmental Arithmetic (3-0-3). Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is less than 15 or COMPASS Math score of 30 or less. Fundamental topics in arithmetic, geometry, and pre-algebra.
099 Developmental Algebra (3-0-3). Credit not applicable toward degrees. Required of students whose ACT Mathematics Main score is at least 15 but less than 19 or COMPASS Math score of 31 to 58. Fundamental topics in algebra for students with insufficient knowledge of high school level mathematics. PR: ACT Mathematics Main score of 15 or grade of "S" in MATH 098.
109 Algebra (3-0-3). Real numbers, exponents, roots and radicals; polynomials, first and second degree equations and inequalities; functions and graphs. PR: ACT Mathematics main score of 19 or grade of "S" in MATH 099.
211 Informal Geometry (3-0-3). Theorems are motivated by using experiences with physical objects or pictures and most of them are stated without proof. Point approach is used with space as the set of all points; review elementary geometry, measurement, observation, intuition and inductive reasoning, distance, coordinate systems, convexitivity, separation, angles, and polygons. No field credit for math majors/minors. PR: MATH 101 or higher.
220 Calculus I (4-0-4). A study of elements of plane analytical geometry, including polar coordinates, the derivative of a function with applications, integrals and applications, differentiation of transcendental functions, and methods of integration. PR: MATH 109 and MATH 110, or GNET 116, or ACT Mathematics main score of 26 or COMPASS Trigonometry score of 46 or above.
250 Discrete Mathematics (3-0-3). Treats a variety of themes in discrete mathematics: logic and proof, to develop students' ability to think abstractly; induction and recursion, the use of smaller cases to solve larger cases of problems; combinatorics, mathematics of counting and arranging objects; algorithms and their analysis, the sequence of instructions; discrete structures, e.g., graphs, trees, sets; and mathematical models, applying one theory to many different problems. PR: MATH 109 and MATH 110 or GNET 116.
290 Topics in Mathematics (1-4 hours credit). Formal course in diverse areas of mathematics. Course may be repeated for different topics. Specific topics will be announced and indicated by subtitle on the student transcript. PR: Consent of instructor.
400 Introduction to Topology (3-0-3). A study of set theory; topological spaces, cartesian products, connectedness; separation axioms; convergences; compactness. Special attention will be given to the interpretation of the above ideas in terms of the real line and other metric spaces. PR: MATH 240.
490 Topics in Mathematics (1-4 hours credit per semester). Advanced formal courses in diverse areas of mathematics. Courses may be repeated for different topics. Specific topics will be announced and indicated by subtitle on transcript. PR: Consent of instructor. |
Mathematical Methods for Quantitative Finance covers topics from calculus and linear algebra that are fundamental for the study of mathematical finance. Students successfully completing this course will be mathematically well prepared to study quantitative finance at the graduate level.
This course follows on from Data Mining with Weka and provides a deeper account of data mining tools and techniques. Again the emphasis is on principles and practical data mining using Weka, rather than mathematical theory or advanced details of particular algorithmsGeometry is the study of shapes, size, and relative position and helps us to measure and understand the world around us. In this course you will learn about points and lines in the plane, properties of angles and shapes.
This course on Division and Multiplication of Whole Numbers introduces a learning trajectory approach to students' multiplicative reasoning, exploring a stronger conceptual basis for multiplicative reasoning, so that, eventually, multiplication and division of fractions is an extension of multiplication and division of whole numbers, instead of a new and mystifying monster of its own. |
Precise Calculator has arbitrary precision and can calculate with complex numbers, fractions, vectors and matrices. Has more than 150 mathematical functions and statistical functions and is programmable (if, goto, print, return, for). |
I'm particularly interested in knowing the order of subjects one should study to become good in mathematics. In my not so great knowledge of the subject I would say that the best place to start could be Arithmetics, is this correct?
If you could also suggest some books or good free resources related to each subject I would really appreciate it.
What do you know now? Basic arithmetic? High school algebra?
–
anortonJan 17 '13 at 22:23
I think we should have a post, something like "A layman guide to Mathematics" ... of course not to offend @user
–
Santosh LinkhaJan 17 '13 at 22:27
@anorton I know arithmetics, algebra, discrete mathematics, statistics and logic. My question is more for me to go back and pick up some of the basics I might have overlooked in these years :)
–
user1301428Jan 17 '13 at 22:33
@experimentX we could also think about turning this question into a community wiki if it could be useful for other people too
–
user1301428Jan 17 '13 at 22:35
well certainly, ... only that I am not expert on math!! i'll just watch along!!
–
Santosh LinkhaJan 17 '13 at 22:37
6 Answers
I think the "How to become a pure mathematician" website is what you're looking for. It offers a well structured approach from very basic mathematics all the way up to graduate level, with links to useful resources and books.
Also, any university curriculum can be useful to see in what order university students study different subjects. An example is Cambridge (the famous mathematical tripos), where they have pdf's outlining every part of the course:
This site as well as wolfram|alpha are both excellent resources for teaching yourself math!
I'd recommend looking at the KhanAcademy: it's online, free to sign-up and participate, progresses in level of difficulty, and is self-paced. It is good for reviewing the "basics" and takes you through calculus and a bit beyond.
See also this site for mathematics-related on-line video tutorials - literally hundreds of them!
Then perhaps you'd like to explore MIT's Open Courseware - Mathematics for access to classes and topics of interest in more advanced topics. From there, you'll find a list of classes with resources available, and will also learn which texts are used for the available classes. Often, course notes, videos of lectures, and exams are available to assist learners, all free of charge.
For advice spanning from the junior high years to college training, here's a very good PF post: There are many textbook recommendations and advice from multiple authors, though it may take some effort to filter out the gems of advice in the forum format. |
Book Description: The newly updated edition of this manual presents a diagnostic test, a review of all Math Level 2 test topics, and six full length model tests with answer keys and answer explanations. Test topics are reviewed in five separate chapters, each containing many practice exercises and answers. Major topics covered include functions and algebra; trigonometry; coordinate geometry; three-dimensional geometry; data analysis, statistics, and probability; and number and operations. Also included is detailed instruction on the use of graphing calculators. This version of the manual comes with an enclosed CD-ROM that presents two additional practice tests with answers, explanations, and automatic scoring |
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$21.40
Comment: Lightly used item, no obvious markings. Includes disc. Cover or dust jacket has creases, scuffing, or other wear puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to the theory of permutation groups. They are relatively simple to describe in group theoretic terms, yet present a challenge to anyone trying to solve them. John Kiltinen shows how the theory of permutation groups can be used to solve a range of puzzles. There is also an accompanying CD that can be used to reduce the need for carrying out long calculations and memorising difficult sequences of moves. This book will prove useful as supplemental material for students taking abstract algebra courses. It provides a real application of the theory and methods of permutation groups, one of the standard topics. It will also be of interest to anyone with an interest in puzzles and a basic grounding in mathematics. The author has provided plenty of exercises and examples to aid study.
Editorial Reviews
Book Description
Popular puzzles such as the Rubik's cube and so-called oval track puzzles give a concrete representation to abstract mathematics. This book and CD show how the theory of permutation groups can be used to solve a range of puzzles. Ideal for students of algebra or anyone with an interest in puzzles.
About the Author
John O. Kiltinen is a native of Marquette,Michigan. He earned his Bachelor of Arts degree at Northern MichiganUniversity in 1963 and his Doctor of Philosophy in mathematics at DukeUniversity in 1967. After teaching at the University of Minnesota for four years, he returned in 1971 to his undergraduate alma mater, where he has been a faculty member ever since. He was a visiting professor during1978-79 in Finland, spending half of the year at the University of Joensuu,and half at the Tampere University of Technology. For the first half ofhis year in Finland, he held a Fulbright Lectureship.
Most Helpful Customer Reviews
This package of book and software presents three fundamental puzzles that can be solved using permutations. The first is called the "Oval Tracks" puzzles and consists of an oval-shaped track that contains numbered disks. There are two fundamental operations that can be performed on the disks:
*) All can be rotated around the track a certain number of positions in either direction. This movement will maintain the fundamental order of the disks. *) A certain set of permutations can be performed on a small number of the disks.
The second category of puzzle is the "slide puzzles." In this case there is a rectangular grid where each cell of the grid contains a single disk. There is an empty cell and the disks are moved one at a time into the unoccupied cell, creating a different unoccupied cell. Variations of this puzzle have cells marked with an X that are rigid and cannot be moved. The third category of puzzles is called the "Hungarian Rings." In this case, the puzzle is constructed from two interlocking rings of disks that are either numbered or colored. The disks share two locations and are separately movable so the only operations are rotating the disks. In all cases, the player is given start and final configurations and the goal is to move from the start to the final state. The software can be used to execute a random rearrangement of the disks at the start of the game. Undo buttons and the ability to create complex macro operations are available. Using the fundamentals of group theory as it is applied to permutation groups, you can solve all of these games. Therefore, after the initial descriptions of the games, there is an introduction to group theory and permutations.Read more › |
books.google.com - This successful textbook is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority make it also an essential reference for professionals in the area. For the new edition, errors have been... Computer Algebra |
A-APR Understand the relationship between zeros and factors of polynomials (2,3)
F-BF Build a function that models a relationship between two quantities* (1, 2)
Notes for High School Standards:
*Mathematical Modeling is a Standard for Mathematical Practice (MP4) and a Conceptual Category, and specific modeling standards appear throughout the high school standards indicated with a star (*). Where an entire cluster is marked with a star, each standard in that cluster is a modeling standard.
Standards that are underlined indicate that PARCC will assess the standard over multiple courses. The PARCC Model Content Frameworks gives further guidance to the limits on standards that will be assessed on more than one end-of-course assessment. |
Trigonometry, Hybrid Edition - 2nd edition
Summary: Reflecting Cengage Learning's commitment to offering flexible teaching solutions and value for students and instructors, these new hybrid versions feature the instructional presentation found in the printed text while delivering end-of-section exercises online in Enhanced WebAssign. The result: a briefer printed text that engages students online! TRIGONOMETRY is designed to help you learn to ''think mathematically.'' With this text, you can stop merely memorizing facts and mimicking ...show moreexamples--and instead develop true, lasting problem-solving skills. Clear and easy to read, TRIGONOMETRY illustrates how trigonometry is used and applied in the real world, and helps you understand how it can apply to your own life. ...show less
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The book is written for undergraduates with a good background in calculus, and with basic knowledge in some areas of applied mathematics like Schrödinger's equation and Maxwell's equations.
The special functions considered in the book comprise Γ, 2F1, 1F1, and their particular cases, including orthogonal polynomials. While the coverage is not surprising, the presentation is less traditional. At an early stage, 2F1 and 1F1 are introduced as series solutions to differential equations. Then various special functions are introduced, each with a suitable problem in applied mathematics as background, and in turn the functions are seen to be in fact particular 2F1's or 1F1s. For instance, Schrödinger's equation in spherical coordinates gives us Legendre's differential equation and the Legendre polynomials as particular 2F1's; while Maxwell's equations for a cylindrical waveguide leads to Bessel functions as particular 1F1's.
Thus, at mid-way, the reader would be aware of the role played by the hypergeometric functions, although they act mostly via other named functions. As to the latter, the reader at this point knows only a minor part of their properties, and has seen them only as functions of real variables because of the way they were introduced. The second half of the book, therefore, begins with chapters on complex analysis, including Cauchy's theorem, series, singularities, and contour integrals. The special functions are now in their proper setting and a deeper study of their properties can be carried out. For instance, integral representations are given. Also, asymptotics, orthogonality, and generating functions are subjects that are treated at some length.
All chapters contain exercises, and quite a few of them are, in the spirit of the book, problems taken from the applications, e.g. quantum mechanics.
In conclusion, the reviewer finds that this book helps bridging pure and applied mathematics, and it should find a natural place in university teaching. |
This algebra lesson from Illuminations involves using linear equations and graphs in a real world context. Students will graph a line based on data points, find the equation of the line, identify y-intercept and slope,...
This tutorial, created by Dale Berger of Claremont Graduate University, takes the learner step-by-step in applying descriptive and inferential statistics using a real world situation. The site focuses on the cultural...
This resource, created by authors James Filliben and Alan Heckert, provides an explanation of scatter plots, their use, purpose and interpretation. It uses examples of the various relationships described by scatter...
The American Mathematical Association of Two-Year Colleges (AMATYC) has compiled a collection of mathematics resources related to various subjects and disciplines. ?Math Across the Community College Curriculum? is the...
This is the homepage of the Student Difficulties in Physics Information Center. The site provides a list of documented student misconceptions and difficulties, along with questions that can be used in a classroom to... |
1583480137
9781583480137
Strategies for Success on the SAT: Mathematics Section:Simple Secrets and Savvy Strategies for Acing the SAT! Today's SAT is harder, longer, and more daunting than ever before, but students armed with the proven success strategies in this one-of-a-kind study program will have all the skills and confidence they need to ace it! Renowned test prep expert Lisa Muehle explains every detail of the newly revised SAT, including what to expect and how the questions will look, ways to carefully manage time, and techniques to greatly enhance performance. She shows students how to reduce stress and minimize test anxiety, boost concentration and focus, and increase speed and accuracy. This well-illustrated edition covers the Mathematics section of the SAT with chapters on essential topics such as arithmetic and basic math; algebra; coordinate geometry and graphs in a coordinate plane; plane and solid geometry; data charts; miscellaneous math topics; and classic word problems. This indispensable guide includes: A suggested study plan as test day approaches (both an eight-week and a four-week version) A detailed breakdown of the math scoring procedure, with a straightforward explanation of the "guessing penalty" Tools and hints for educated guessing and avoiding attractive but wrong answer choices A smart approach to grid-in problems Tips, pointers, and step-by-step key sequences for using a graphing calculator to solve advanced algebra problems "Success Strategy" sidebars with seasoned advice and practical equations Sample sets for practicing new and classic SAT math problems with thorough explanations of the solutions Together with its companion guide, Strategies for Success on the SAT: Critical Reading and Writing Sections, this is the comprehensive program for mastering the SAT and scoring admission into the top universities.
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Rent Strategies for Success on the SAT: Mathematics Section 1st edition today, or search our site for Lisa textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by iUniverse Star. |
In this unit you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section 2, in which you will also work with bearings.
Assuming that both the content of mathematics and the processes need to be included in programmes and curricula, the problem becomes one of how a suitable curriculum can be structured. One possibility is to construct a very specific curriculum with clearly defined objectives for both content and processes separately, and possibly with suggested learning activities. However, content and process are two complementary ways of viewing the subject.
An alternative is to see the curriculum aimed at teachers who wish to review how they go about the practice of teaching maths, those who are considering becoming maths teachers, or those who are studying maths courses and would like to understand more about the teaching process.
This unit is from our archive and is an adapted extract from Teaching mathematical thinking at Key Stage 3 (ME624) which is no longer taught by The Open University. If you want to study formally with us, you may wish to explore other cour main teaching text of this unit is provided in the workbook below. The answers to the exercises that you'll find throughout the workbook are given in the answer book. You can access it by clicking on the link under the workbook. Section 4.2 of the unit requires you to listen to some audio files. You'll find these on the next page of this unit.
RSS ('Really Simple Syndication' or 'Rich Site Summary') newsfeeds supply headlines, links, and article summaries from various websites. By using RSS 'feedreader' software you can gather together a range of feeds and read them in one place: they come to you, rather than you having to go out and look for breaking news. The range of RSS feeds on offer is growing daily. There is probably a feed to cover all aspects of your life where you might need the latest information, and you mayReferencing is not only useful as a way of sharing information, but also as a means of ensuring that due credit is given to other people's work. In the electronic information age, it is easy to copy and paste from journal articles and web pages into your own work. But if you do use someone else's work, you should acknowledge the source by giving a correct reference.
Taking someone's work and not indicating where you took it from is termed plagiarism and is regarded as an infringemenIf you are considering taking your studies further you might like to consider using bibliographic software. Bibliographic software can be used to sort references, annotate them, manage quotations or create reading lists.
There are several software packages on the market. Some are listed below.
BibTex
EndNote
Procite
Reference Manager
RefWorks
If you are not sure87% of items that are filed into a filing cabinet are never looked at again. STANFORD UNIVERSITY
The world is producing nearly two exabytes of new and unique information every year – an exabyte is a new term that had to be coined for a billion gigabytes. All the words ever spoken by human beings comes to five exabytes. UNIVERSITY OF CALIFORNIA (BERKELEY)
More new information has been produ both search engines and subject gateways will help you find the resources that you need, the types of information that you find will differ.
Search engines such as Google and Yahoo! search the internet for keywords or phrases, and then show you the results. These results are not mediated by the search engines, and therefore you need to use your own judgement on the reliability of the results. You may, for example, find websites written by experts, alongside websites written byComplementary currencies also demand a rethink of our economy, but have a more imaginative and radical edge. Because of the difficulties with conventional monetary systems, various alternatives are being tried. These are usually restricted to a particular group of people, and so are called 'local' or 'complementary' currencies. They are generally based in a local community and enable people to exchange goods and services without resorting to 'traditional' currency. Some areCommunities such as Findhorn already behave as if natural resources need careful management: they work hard to reduce fossil fuel use. A central assumption of this way of thinking is that people need to root economies more locally (Figure 15). To see the same impulse spread through the mainstream economy would require that th will the decisions be made that will result in meaningful action on climate change, and who will make them stick? Following climate change politics in the media can give the impression that most of the action on climate change is going on between national decision makers in international forums. It is important to keep in mind that these forums have resulted from persistent pressure from a combination of grassroots environmental activists and a global network of science and policy exper thing is common to all three attempts to find a route to a sustainable economy and society: in different ways they all assume that people will get actively involved in making human societies more sustainable. But this transformation will not take place through the corporate world's promises, by local protectionism, a return to 'strong states' or the publication of numerous indicators. Any of the three positions outlined above requires interactions and feedbacks created by a vibrantNot for the first time in this book, you are faced with a term that is important but difficult to define precisely. Although the fact that plenty of people from different standpoints are using the term 'globalisation' is some measure of its importance, it can be confusing to find that there are different ways of framing what it means for humans and the environment today and in the future. In this section, the range of political responses to climate change and environment–economy interacHuman societies have to take urgent action to end their dependence on fossil fuels. They also have to prepare to adapt to the uncertainties inherent in global environmental changes, particularly climatic ones. We have to alter the whole path of our development and decision making in order to make our societies both environmentally adaptable and sustainable. This unit takes on the task of trying to chart some of the ways in which this might come about.
The context for these changes by g part I have presented evidence showing that even apparently remote regions of our planet are intimately connected through physical processes. For example, once an organic POP is transported to the poles, then biological processes can take over and through bioaccumulation perhaps cause harm. But this physical connection has allowed the ice to preserve unique proxy records of the past climate of our planet. Directly measuring the gases trapped in the ice has enabled histories of past at |
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Maths TutorOpen. To bridge the gap from school to university study, to revise or find the
maths topic you missed, you will want to meet mathtutor . Video tutorials, with ... Algebra - Arithmetic - Differentiation - Functions, graphs, sequences ...
To bridge the gap from school to university study, to revise or find the maths topic
you missed, you will want to meet mathtutor . Video tutorials, with diagnostics, ... Algebra - Arithmetic - Differentiation - Functions, graphs, sequences ...
Pascal's triangle and the binomial theorem - Maths TutorPascal's triangle and the binomial theorem ... In this tutorial you will learn how
Pascal's triangle can be used to obtain the required ... Video tutorial 54 mins.
Integration - Maths TutorIntegration is often introduced as the reverse process to differentiation, and has
wide applications, for example in finding areas under curves and volumes of ... Integration as summation - Integration as the reverse of ... - Integration by parts
Transposition of Formulae - Maths TutorIt is often useful to rearrange, or transpose , a formula in order to write it in a
different, but equivalent form. This unit explains the procedure for doing this.
Volumes of solids of revolution - Maths TutorVolumes : Exercises . 1/3. 1 (i). Attempt the following questions. Find the volume
generated when the area is rotated about the x-axis: The area between the curve
...
Expanding And Removing Brackets - Maths TutorIn this unit we see how to expand an expression containing brackets . By this we
mean to rewrite the expression in an equivalent form without any brackets in.
Finding areas by integration - Maths TutorFinding areas by integration . In simple cases, areas can be found by evaluating a
single definite integral . Sometimes the integral gives a negative answer, and ...
MathTutor functions , graphs, sequences & series - Maths TutorWhat are functions ? From an introduction of the basic concepts of functions to
more advanced functions met in economics, engineering and the sciences, these
...
Integration by parts - Maths TutorA special rule, integration by parts , can often be used to integrate the product of
two functions. It is appropriate when one of the functions forming the product is ...
The gradient of a straight line segment - Maths TutorIn this unit the gradient of a straight line segment is found, and the relationships
between the gradients of parallel lines and perpendicular lines are explained.
Completing The Square Maxima And Minima - Maths TutorNever quite got your head around algebra ? Let mathtutor ... Completing The
Square Maxima And Minima. In this unit ... This technique has applications in a
number of areas, but we will see an example of its use in solving a quadratic
equation .
Differentiation from first principles - Maths TutorDifferentiation from first principles . What is differentiation? It is about rates of
change - for example, the slope of a line is the rate of change of y with respect to
x.
Properties of straight line segments - Maths TutorIn this unit a system of co-ordinates is described, and is used to find various
properties of the straight line between two points. The distance between the two ...
Simplifying Algebraic Fractions - Maths TutorSimplifying Algebraic Fractions. The ability to simplify fractions and to write them
in equivalent forms is an essential mathematical skill required of all engineers ... |
Find a Lilburn GeometryBut, in reality, if you break each theorem down into common sense (often with a quick sketch) then a hazy notion or idea can turn into a clear understanding instantly. MS Word is the international standard for producing text. Mastery of Word makes it easy to produce tip-top professional-looking documents with more resources available than most of us can imagine |
Tatamy Math
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Using Graphs to Identify Relationships: Graphing Functions
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
1.97 MB | 14 pages
PRODUCT DESCRIPTION
This is a 14 page bundle that teaches students how to use graphs to identify relationships, as well as to make connections between graphs and their meanings. This bundle includes a warmup, notes, practice, and an exit ticket. Students will need to connect real world word problems to their graphs and function tables. Students will also be asked to recognize an increasing, decreasing, or no changing line on a graph and determine the meaning. Answer key is included |
More About
This Textbook
Overview
Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates.
Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout.
New features of this revised and expanded second edition include:
• a chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book.
• Around 200 additional exercises, and a full solutions manual for instructors, available via
Praise for the first edition:
"The text is nicely illustrated, the definitions are well-motivated and the proofs are particularly well-written and student-friendly…this book would make an excellent text for an undergraduate course, but could also well be used for a reading course, or simply read for pleasure."
Australian Mathematical Society Gazette
"Excellent figures supplement a good account, sprinkled with illustrative examples."
Editorial Reviews
From the Publisher
From the reviews of the second edition:
"I am very happy to report that the new edition of Pressley's Elementary Differential Geometry is an even better book than the first edition … . full solutions to all problems given in an appendix. … Most of the problems are in the book and have solutions in the back. … The upshot is that this is still an excellent book and still my first choice for an undergraduate introduction to differential geometry." (Fernando Q. Gouvêa, The Mathematical Association of America, May |
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This photocopy masters book is designed to
complement the spatial math component of the curriculum. It provides a basic
introduction to new concepts as well as activities that will consolidate the
skills and ideas associated with 2D and 3D shapes.
The book contains a set of networks for
constructing models of prisms, pyramids and various polyhedra. Ideally, these
nets should be copied onto card to allow students to make a solid shape that
will last for the duration of this unit of math.
Specific activities include identifying
traversable networks, studying the properties and features of 2D and 3D shapes,
exploring reflectional and rotational symmetry, looking at cross sections of 3D
shapes and creating tessellations with a number of regular and irregular 2D
shapes.
It is intended that the activities be completed
sequentially as certain learning concepts need to be mastered in order to
complete some of the later activities. Also, it is assumed that the ideas in
this book will be explored in class prior to completing the activities as they
are not designed as a complete math program. |
with Business Applications
Glencoe "Math with Business Applications" is a comprehensive text that covers all the skills students need to manage their personal finances and ...Show synopsisGlencoe "Math with Business Applications" is a comprehensive text that covers all the skills students need to manage their personal finances and excel at their first jobs and in everyday life. "Math with Business Applications" is a three-part program that takes students from basic math concepts to sophisticated financial strategies. Basic Math Skills reviews the fundamental math operations, Personal Finance teaches money management skills, and Business Math provides a thorough primer on launching and running a business. "Math with Business Applications" contains lessons, workshops, features and activities that comprise a well-rounded program.Hide synopsis
Description:Good. Mathematics with Business Applications, Student Edition....Good. Mathematics with Business Applications, Student Edition. This book is in Good condition. Buy with confidence. We ship from multiple location.
Description:New. 0078692512 MULTIPLE COPIES AVAILABLE. New book may have...New. 0078692512 MULTIPLE COPIES AVAILABLE. New book may have school stamps or class set numbers on the side but was not issued to a student. 100% guaranteed fast shipping! ! |
Probability : An Introduction - 87 edition
Summary: Excellent basic text covers set theory, probability theory for finite sample spaces, binomial theorem, probability distributions, means, standard deviations, probability function of binomial distribution, and other key concepts and methods essential to a thorough understanding of probability. Designed for use by math or statistics departments offering a first course in probability. 360 illustrative problems with answers for half. Only high school algebra needed. Chap...show moreter bibliographies. ...show less
01/01/1987 Paperback Used-Good Book in good or better condition. Dispatched same day from US or UK warehouse. Fair 0486652521 |
This is a Smart Worksheet covering circles, parabolas and ellipses. The sheet consists of nearly 80 questions with each having an individualized on-line video solution. I've also included a host of tools and resets so that you can track of your progress, Hope you enjoy the live worksheet and if you have any questions, then by all means give us a buzz and send us an email. Cheers, MarkParabola" tells you everything you ever needed to know about parabolas but were afraid to ask.
Enter a quadratic function in standard, vertex, or intercept form, and this application instantly displays:
- The orientation of the parabola - The coordinates of the vertex - The axis of symmetry - The coordinates of the focus - The equation of the directrix - The x - intercepts - The y - intercept
Since it's crucial for students to understand the concepts behind the formulas, "Parabola" includes a thorough explanation of the computations that are performed. Students and teachers will find this application to be indispensable.
The idea of the worksheet is that you have a go at the problems and then check out the online video solutions.
There's other tools too, including email?, where you can email me a picture of a problem you have on integration. There's a definite integrator and indefinite integrator in the sheet so you can also check out the solutions to your own problems.
So i hope you enjoy it and just give us a buzz, send us an email if you have any feedback. Cheers, Mark
This is a Smart Worksheet on Trig identities and trig equations. The idea here is that you pick a problem to try and then click on the video solutions.
There's a host of other useful tools as well - trig equation solvers both general and in a specified range and a trig identities solver which provides a number of alternatives to the expression entered, So if you have problems of your own that need checking then look no further.
There's also an email? and any questions that you have can be submitted as well as a pdf version of the worksheet so that you can work on the problems independently if you prefer.
So all the best then guys and if you have any suggestions or ideas for new smart worksheets then just give us a buzz and send us an email.
There are lots of tools which you can use to check problems of your own, including a plotter, a polynomial divisor, a differentiator and a turning points calculator.
The idea is that you try the questions and then click on the online video solutions. There's also a PDF included if you prefer to have a go independently and an email math que if you liked to submit a question.
So, all the best then guys. I hope you benefit and get something from the sheet and hopefully catch you again in another live worksheetThis is a Smart Worksheet dealing with quadratics and polynomials. Topics covered include, quadratics by factorisation, completing the square and formula. Division of polynomials and partial fractions.
There are hundreds of videos included. The idea is for you to have a go first and then click on the embedded video solution. The level of difficulty increases through the questions.
The app also has additional tools along the bottom including resets, where all the videos can be reset, films, past papers embedded as pdf's and an online userguide.
There's also email functionality embedded where users can post picture questions with a view to bespoke video solutions able to be emailed back.
Parabola Calculator is an app essential for Americans students. During the course of the studies, it happens to come face to face with the classic Parabola. Most of the exercises on it, asks to find the coordinates of the Vertex and the intersections on Axis X and Axis Y.
With Parables Calculator, simply enter the data obtained from Equation of Parables, play them, and the calculator will find you: Vertex X, Vertex Y, Intersections on X1 and X2, Intersections on Y
Function Solver is designed to solve a second degree function (parabola) With Function Solver you will receive not only an answer but also a way to solve Also you can see the graph of the function. and min&max points ,and intersection points I made this app to help those who have difficulty now you can be able to learn and solve Function ! I call it easy math !
So go download it and recommend to your friends If you have suggestions or questions: itsik932@walla.com Successfully! Function solver Itzik
Educomp Smartclass Videos:Conic Sections See how the parabola, circle, ellipse and hyperbola are formed when a double napped cone is intersected by a plane. See how to derive the equations of these conic sections alpha |
Interventions for Teaching Algebra to Secondary Students with Learning Disabilities: A CEC/DLD Collaborative Webinar
This session provides an overview of evidence-based instruction and interventions for teaching mathematics for secondary students. Working with the arithmetic to algebra gap framework of Witzel, Smith and Brownell (2001), Dr. Witzel presents research supported instructional approaches shown to help students with academic difficulties build foundational mathematics skills (such as integers, fractions, and equations) in order to improve success in algebra. Additionally, he provides suggestions on how to prevent difficulties with algebra acquisition.
After viewing this program, you will be able to:
Describe research-supported interventions for helping students who struggle in algebra.
Use direct/explicit instruction to introduce struggling students to new math concepts such as integers, fractions, and equations.
Apply strategies to help students make sense of abstract algebra concepts and procedures.
After you submit your order, you will receive an email from CEC within two business days that will contain a link to download the webinar recording. If you have any questions, please contact us via email at service@cec.sped.org or call us at 1-888-232-7733, Monday-Friday, 9 a.m.-5 p.m. ET. |
Preparing for Algebra Gr. 6-8
Whether you are getting ready for algebra or just need a refresher, this class is for you. Get a preview or investigate to further your understanding of algebra concepts at the end of middle school or beginning high school level.
SHARE THIS PROGRAM
Connect with College for Kids & Teens
Wed.-Tue., June 18-July 1
2-4pm
Location: UWM Union, Terrace Room
Instructor: Jason Dropik
Fee: $144 Program No. 8410-0427 |
Integration has a long history: its roots can be traced as far back as the ancient Greeks. The first genuinely rigorous definition of an integral was that given by Riemann, and further (more general, and so more useful) definitions have since been given by Lebesgue, Denjoy, Perron, Kurzweil and Henstock, and this culminated in the work of McShane. This textbook provides an introduction to this theory, and it presents a unified yet elementary approach that is suitable for beginning graduate and final year undergraduate students. [via]
More editions of Integral: An Easy Approach after Kurzweil and Henstock (Australian Mathematical Society Lecture Series):
The principal aim of this book is to introduce university level mathematics - both algebra and calculus. The text is suitable for first and second year students. It treats the material in depth, and thus can also be of interest to beginning graduate students. New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. To facilitate understanding, a large number of diagrams are included. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text. [via] |
Product description
In Math 5 Student Worktext, math skills are developed within a chapter format followed by daily review for a mastery approach. Two colorful pages reinforce the concepts taught in the lesson; understanding is emphasized through the use of manipulatives and pictures. A Chapter Review and a Cumulative Review are included in each chapter. An aviation theme runs throughout the book, providing real-life applications and making math learning fun.
Type: Paperback (Student/Stdy Gde)Category: > Home SchoolingISBN / UPC: 9781606820339/1606820338Publish Date: 8/1/2010Item No: 206408Vendor: Bob Jones University Press |
Math Principles for Food Service Occupations, 6th Edition
MATH PRINCIPLES FOR FOOD SERVICE OCCUPATIONS, 6E stresses the direct relevance of math skills in the food service industry while teaching the basic math principles that affect everything from basic recipe preparation to managing food and labor costs in a restaurant operation. All the mathematical problems and concepts presented are explained in a simplified, logical, step-by-step manner. New to this edition, illustrations in full color add visual appeal to the text and help you master important concepts. Now in its 6th edition, this book demonstrates the importance of understanding and using math concepts to effectively make money in this demanding business. Part 1 explains how to use a calculator. Part 2 reviews basic math fundamentals. The following parts address math essentials and cost controls in food preparation and math essentials in food service record keeping, while the last part of the book concentrates on managerial math. New topics to this 6th edition include controlling beverage costs; clarifying and explaining the difference between fluid ounces and avoirdupois ounces; and an entire new section on yield testing and how to conduct these tests. There are new methods using helpful memory devices and acronyms to help you remember procedures and formulas, such as BLT, NO, and the Big Ounce. New strategies and charts are also shown and explained on how to use purchases in order to control food and beverage costs and how transfers affect food and beverage costs. In addition, sections have been added on how to control costs using food (or liquor, or labor) cost percentage guidelines. The content in MATH PRINCIPLES FOR FOOD SERVICE OCCUPATIONS, 6E meets the required knowledge and competencies for business and math skills as required by the American Culinary Federation124.95
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books.google.com - Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with... Classical Introduction to Modern Number Theory
A Classical Introduction to Modern Number Theory
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves.
Review: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (Graduate Texts in Mathematics #84)
User Review - Dan - Goodreads
I just read the chapter about the elliptic curve y^2 = x^3 + Dx, it was pretty good.Read full review
Review: A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics) (Graduate Texts in Mathematics #84)
User Review - Arman - Goodreads
The most difficult book I have read up to now ;).For me it took more than an hour to read one page of this book ! This book devotes some parts about historical comments in number theory, have you ever ...Read full review
Selected Number Theory References ($95, UMBC library); [IR91] A Classical Introduction to Modern Number Theory, 2nd Ed, by Ireland & Rosen, Springer-Verlag, 1991: One of the best general ... ~campbell/ NumbThy/ Class/ References.html
Foreign Dispatches: A History of Dandyism kf Ireland and M. Rosen: A Classical Introduction to Modern Number Theory · kf Ireland and M. Rosen: A Classical Introduction to Modern Number Theory ... foreigndispatches.typepad.com/ dispatches/ 2005/ 02/ a_history_of_da.html |
Flummoxed by formulas? Queasy about equations? Perturbed by pi? Now you can stop cursing over calculus and start cackling over Math, the newest volume in Bill Robertson's accurate and amusing Stop Faking It! books In Serious Scratch Programming, author Majed Marji takes you on a tour through Scratch's surprisingly powerful features to teach programming concepts like procedures, variables, loops, recursion, decision making, and lists. You will use your new-found skills to create science simulations, math projects, and even some fun arcade games! Each chapter offers a summary and practice exercises at the end to make sure the lessons stick.
If you understand the math but don't do well in word problems then you will have trouble. And if you understand the word problem but have no idea where to begin with the math, again, you will not do well.
Practice makes perfect-and helps deepen your understanding of algebra 1,001 Algebra I Practice Problems For Dummies, with free access to online practice problems, takes you beyond the instruction and guidance offered in Algebra I For Dummies, giving you 1,001 opportunities to practice solving problems from the major topics in algebra.
A diagnostic test with explained answers to help students identify their strengths and weaknesses Advice on using a graphing calculator A detailed review of all test topics, including polynomial, trigonometric, exponential, logarithmic, and rational functions; coordinate and three-dimensional geometry; numbers and operations; and much more
Now fully adapted to reflect Canadian drug information, measurement, legislation, and standards, Henke's Med Math, First Canadian Edition is an excellent choice for giving students an in-depth understanding of dosage calculation and principles of drug administration. It presents step-by-step approaches to solving problems and includes dosage problems that simulate actual clinical experience. Each chapter includes numerous examples, self-tests, and proficiency tests. Multiple dosage calculation methodologiesŚformula, ratio, proportion, and dimensional analysisŚare taught, allowing students to adopt their preferred method. In addition, calculations are included for intravenous pediatric, PCA, and critical care medications. |
FDMAT 108
Prerequisite: Math 100B with a grade of "B" or higher or one year of high school algebra. This class prepares students to understand, analyze, and solve real-life problems that require quantitative reasoning. Topics include the meaning of probabilities, how to read, critique, and apply statistical information found in news reports, public policy debates, consumer reports, and other daily life and professional situations; the use of mathematical models in describing, understanding, and making predictions about real world phenomena; and the mathematics of loans and investments. Other topics may be included as time permits. All topics will be illustrated by examples and applications from current events, daily life, business, and natural phenomena. (Fall, Winter Spring) |
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*The content of these courses was originally developed by the University of California College Prep(UCCP).
UC Scout Algebra One: This curriculum emphasizes a multi-representational approach to algebra, with concepts, results, and problems being expressed graphically, analytically, and verbally. It develops algebraic fluency by providing students with the skills needed to solve equations and perform important manipulations with numbers, variables, equations, and inequalities. In addition, the course develops proficiency with operations involving monomial and polynomial expressions. The main unifying themes of the course include understanding, writing, solving, and graphing linear equations, systems of linear equations and inequalities, quadratic equations, and rational equations.
UC Scout Advanced Placement (AP) Biology: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP Biology exam. This course is designed to acquaint you with the general concepts of life including reproduction, balance in nature, and the nature of living things. You will focus on three broad sections that align with the goals for the AP exam: Molecules and Cells, Heredity and Evolution, and Organisms and Populations.
UC Scout Advanced Placement (AP) Calculus AB: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP Calculus AB exam. This course is divided into two semesters and is designed to acquaint you with calculus principles such as derivatives, integrals, limits, approximation, and applications and modeling. During this course you will gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications.
UC Scout Advanced Placement (AP) Calculus BC: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP Calculus BC exam. This course is divided into two semesters and is designed to acquaint you with calculus principles such as derivatives, integrals, limits, approximation, applications and modeling, and sequences and series. During this course you will gain experience in the use of calculus methods and learn how calculus methods may be applied to practical applications.
UCCP Advanced Placement (AP) Environmental Science: ecological realities and the material desires of humans often clash, leading to environmental degradation and pollution. The course covers the following topics: Earth's Systems, Human Population Dynamics, Natural Resources, Environmental Quality, Global Changes, and Environment and Society.
UC Scout Advanced Placement (AP) U.S. Government and Politics: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP U.S. Government and Politics exam.
UC Scout Advanced Placement (AP) Physics B: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP Physics B exam. Advanced Placement (AP) Physics C: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP Physics C exam. This course is designed to acquaint you with topics in mechanics and classical electricity and magnetism. The course covers two semesters. The first semester is devoted to Newtonian mechanics including: kinematics, laws of motion, work and energy, systems of particles, momentum, circular motion, oscillations, and gravitation. The second semester discusses the topics of electricity and magnetism. The course emphasizes problem solving including calculus, and there are numerous interactive examples throughout. You will also gain laboratory experience through interactive lab simulations and wet labs.
UC Scout Advanced Placement (AP) Psychology: This one semester course covers some of the principal ares and concepts of modern psychology. Topics include research methodology, learning, perception, social interaction, personality, intelligence, social development and psychopathology.
UC Scout Advanced Placement (AP) U.S. History: This curriculum covers all of the material outlined by the College Board as necessary to prepare students to pass the AP U.S. History exam.
UC Scout Biology: The Biology course is a first-year course in biology at the high school level. The course emphasizes a multi-representational approach to algebra, with concepts, results, and problems being expressed graphically, analytically, and verbally. The course uses four themes to organize important concepts throughout the course: science, technology, and society; evolution; the relationship between structure and function; and science as a process.
The Biology course involves the scientific study of living organisms. The course considers the interactions among the vast number of organisms that inhabit planet Earth. It presents the basic form and function of these organisms, from cells to organ systems, from simple viruses to complex humans. It delves into interactions between organisms, and between an organism and its environment. It also looks into how biotechnology is used to improve our health and daily lives.
UC Scout College Prep Honors UCCP Honors Psychology: This one semester course covers some of the principal areas and concepts of modern psychology. Topics include research methodology, learning, perception, social interaction, personality, intelligence, social development and psychopathology.
UC Scout Honors Psychology
This one semester course covers some of the principal areas and concepts of modern psychology. Topics include research methodology, learning, perception, social interaction, personality, intelligence, social development and psychopathology.
UC Scout Government and Politics:
Upon completion of this course you will:
Express ideas clearly in writing. Work individually and with classmates to research political issues. Interpret and apply data from original documents such as court cases and bills. Write to persuade with evidence. Develop essay responses that include a clear, defensible thesis statement and supporting evidence. Raise and explore questions about policies, institutions, beliefs, and actions in a political science context. Evaluate secondary materials, such as scholarly works or statistical analyses. Explain the foundations and underpinnings of democratic government. Demonstrate comprehension of documents essential to American government and politics. Evaluate the importance of federalism in the political operation of the nation. Describe the nature of American political parties and their role in the election process. Analyze the patterns of voter behavior. Describe the functions and workings of policy making institutions (Congress, the Presidency, the Courts, and the Bureaucracy). Analyze the major developments in civil rights and civil liberties in America.
UC Scout U.S. History:
Upon completion of this course you will:
Demonstrate comprehension of a broad body of historical knowledge. Express ideas clearly in writing. Work with classmates to research an historical issue. Interpret and apply data from original documents. Identify underrepresented historical viewpoints. Write to persuade with evidence. Compare and contrast alternate interpretations of an historical figure, event, or trend. Explain how an historical event connects to or causes a larger trend or theme. Develop essay responses that include a clear, defensible thesis statement and supporting evidence. Effectively argue a position on an historical issue. Critique and respond to arguments made by others. Raise and explore questions about policies, institutions, beliefs, and actions in an historical context. Evaluate primary materials, such as historical documents, political cartoons, and first-person narratives. Evaluate secondary materials, such as scholarly works or statistical analyses. Assess the historical significance and cultural impact of key literary works (e.g. Common Sense, Uncle Tom's Cabin). |
West New York Calculus begins with learning to translate verbal phrases into symbols. This leads to the topic of formulas and equations. In particular, proportions are solved and linear and quadratic equations are solved and graphed |
ExploreLearning offers a catalog of modular, interactive simulations in math and science for teachers and students. They call these simulations Gizmos and they are meant to be fun, easy to use, and flexible enough to...
A course designed to familiarize high school and beginning college mathematics teachers with advanced algebra content and teaching strategies. The approach stresses modeling and solving real world problems and develops... |
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Punch Line Algebra Book A 7 11
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Classzone - algebra 1, Welcome to algebra 1. this course will make math come alive with its many intriguing examples of algebra in the world around you, from baseball to theater lighting to.
Algebra - wikipedia, the free encyclopedia, The start of algebra as an area of mathematics may be dated to the end of 16th century, with françois viète's work. until the 19th century, algebra consisted.
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Cpm educational program, Cpm educational program strives to make middle school and high school mathematics accessible to all students. it does so by collaborating with classroom teachers to.
Phschool.com - prentice hall bridge page, Take a closer look at some of the leading instructional materials for secondary school classrooms..
Algebra homework help, algebra solvers, free math tutors, Pre-algebra, algebra i, algebra ii, geometry: homework help by free math tutors, solvers, lessons. each section has solvers (calculators), lessons, and a place where |
Elementary and Intermediate Algebra - 4th edition
Summary: The Dugopolski series in developmental mathematics has helped thousands of students succeed in their developmental math courses.Elementary & Intermediate Algebra,4eis syst...show moreem between the examples and exercise sets, so no matter where the students start, they will see the connection between the two. Finally, the author finds it important to not only provide quality but also a wide variety and quantity of exercises and applications |
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Student Solutions Manual College Algebra
Summary
The Barnett/Ziegler/Byleen/Sobecki College Algebra series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about mathematical concepts. All worked examples are followed by Matched Problems that reinforce the concepts being taught. New to these editions, Technology Connections illustrate how concepts that were previously explained in an algebraic context may also be solved using a graphing calculator. Students are always shown the underlying algebraic methods first so that they do not become calculator-dependent. In addition, each text in the series contains an abundance of exercises - including numerous calculator-based and reasoning and writing exercises - and a wide variety of real-world applications illustrating how math is useful. |
Calculus for Dummies - 03 edition
Summary: The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein. Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced alge...show morebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.
Calculus For Dummies is intended for three groups of readers:
Students taking their first calculus course -- If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.
Students who need to brush up on their calculus to prepare for other studies -- If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.
Adults of all ages who'd like a good introduction to the subject -- Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth.
This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:
Real-world examples of calculus
The two big ideas of calculus: differentiation and integration
Why calculus works
Pre-algebra and algebra review
Common functions and their graphs
Limits and continuity
Integration and approximating area
Sequences and series
Don't buy the misconception. Sure calculus is difficult -- but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off -- it's simply the next step in a logical progression5587 +$3.99 s/h
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Quick Business Math is also packed with practice problems and examples drawn from real-life business situations. It's the fastest, easiest way to gain the skills you need.
Steve Slavin gives the student or entry-level businessperson a brush-up on basic math skills and explains their practical uses in the day-to-day business world. Slavin reviews such fundamentals as fast multiplication and division, converting fractions into decimals, percentages, and solving problems using simple algebra.
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Meet the Author
STEVE SLAVIN teaches economics and mathematics at Union County College in Cranford, New Jersey. He has written several successful math guides, including All the Math You'll Ever Need, Economics: A Self-Teaching Guide, and Math for Your 1st and 2nd Grader, all available |
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