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Free Algebra Lessons from Purplmath
Lessons: "How do you really do this stuff?" — Purplemath's algebra lessons are written with the student in mind. These lessons emphasize the practicalities rather than the technicalities, demonstrating dependable techniques, warning of likely "trick" questions, and pointing out common mistakes. The lessons are cross-referenced to help you find related material, and a "search" box is on every page to help you find what you're looking for.
You can access their preliminary through advanced Algebra lessons |
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Inside the Book:Preliminaries and Basic OperationsSigned Numbers, Frac-tions, and PercentsTerminology, Sets, and ExpressionsEquations, Ratios, and ProportionsEquations with Two Vari-ablesMonomials, Polynomials, and FactoringAlgebraic FractionsInequalities, Graphing, and Absolute ValueCoordinate GeometryFunctions and VariationsRoots and RadicalsQuadratic EquationsWord ProblemsReview QuestionsResource CenterGlossaryWhy CliffsNotes?Go with the name you know and trust...Get the information you need--fast!Master the Basics-FastComplete coverage of core conceptsEasy topic-by-topic organizationAccess hundreds of practice problems at CliffsNotes.com
About the Contents:
Introduction
Description and format of the exam
CBEST: California Basic Education Skills Test scoring
Commonly asked questions
Part I: Analysis of Exam Areas
Reading
Graphs and Charts
Mathematics
Writing
Part II: Mathematics Review
Symbols, Terminology, Formulas, and General Mathematical Information
Arithmetic
Algebra
Measurement
Part III: Four Full-Length Practice Exams
Each practice exam includes the same number of questions as the actual exam
The practice exams come complete with answers and explanations for all questions
Model essay responses include grader comments
Your guide to a higher math score on standardized tests*SATACT®ASVABGMAT®GRE®CBEST®PRAXIS I®GED® And More!Why CliffsNotes?Go with the name you know and trustGet the information you need-fast!About the Contents:IntroductionHow to use this bookOverview of the examsPart I: Basic Skills ReviewArithmetic and Data AnalysisAlgebraPart II: Strategies and PracticeMathematical AbilityQuantitative ComparisonData SufficiencyEach section includes a diagnostic test, explanations of rules, concepts withexamples, practice problems with complete explanations, a review test, and aglossary!Test-Prep Essentials from the Experts at CliffsNotes®For more test-prep help, visit CliffsNotes.com®*SAT is a registered trademark of the College Board, which was not involved inthe production of, and does not endorse, this product.
Your guide to a higher score on Praxis I: PPSTWhy CliffsNotes?Go with a name you know and trustGet the information you need--fast!About the Contents:Part I: IntroductionOverview of the testFAQsProven study strategies and test-taking tipsThe computer-based testPart II: Analysis of Exam AreasReadingMathematicsWriting--Multiple-choice and essayPart III: Mathematics ReviewSymbolsTerminologyFormulasArithmeticAlgebraGeometryPart IV: Selective Review of Grammar and UsagePart V: Four Full-Length Practice TestsThree in paper-based formatOne in computer-based formatComplete answers and explanations for all questions
Part I Introduction: *Action plan for doing your best *How to get the most out of your study time *Format of the new GED Examination *Answers to your questions about the testPart II Working Toward Success: *Successful strategies for every test area *Analysis of every question type *Special section on how to understand charts, graphs, maps, cartoons, and diagrams *Math formulas analyzed and explained Part III How to Start Reviewing: *Effective methods for reviewing language skills, math, science, and social studies *Common English errors to recognize *Essay topics with evaluation charts *Practices to focus your social studies and science readings * Math review tests for arithmetic, algebra, and geometry Part IV Two Full-Length Practice Examinations with Answers and Explanations: *Analysis charts *Score approximators |
This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus,...
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This site is devoted to learning mathematics through practice. Many dozens of practice problems are provided in Precalculus, Calculus I - III, Linear Algebra, Number Theory, and Abstract Algebra. The last two subject areas -- referred to as "books" on the site -- are under construction. To each topic within a book (for example, Epsilon and Delta within Calculus I) there is a "module" of approximately 20 to 30 problems. Each module also includes a help page of background material. The modules are interactive to some extent and often provide suggestions when wrong answers are entered.
This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete...
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This site consists of examples, exercises, games, and other learning activities associated with the textbook, Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by Doug Ensley and Winston Crawley. Requires Adobe Flash player. |
Beginning and Intermediate Algebra: The Language & Symbolism ofIntended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra. Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book's organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of multiple perspectives -- verbal, numerical, algebraic, and graphical -- has proven popular with a broad cross section of students. |
to be solved of Maths and Physics. BioProfessor is a fun way for students to practice Maths and Physics in the smartPhone or in the Tablet.
Math subjects: Additions and Subtractions, Multiplications, Divisions, Powers, Square root, Equations of first and second degree, System of linear equations of first and second degree, Combinatorics, Matrices, Limits, Derivatives and Integrals.
Formulae Helper – A handbook of mathematical formulas in geometry, algebra, trigonometry, calculus and more from the creators of Math Helper Algebra.
Formulae Helper is the best and easiest-to-use mathematics formula reference application for both math teachers and students, featuring hundreds of math formulas at your fingertips.
This math formula app is useful for homework, quizzes, tests, studying, or reference, and can be used for studying pre-calculus, calculus, algebra, trigonometry, geometry, functions, sequences, and more. Also can be used as picture homework helper.
For total access to math formulas without carrying around bulky textbooks, get Formulae Helper today!
Look for help in algebra? Started learning calculus formulas? Need help solving algebraic equations? Do not know how to divide polynomials? Want to master algebra? Formulae Helper – is just what you are looking for. Best maths ref application on the market. See no further! Download now!
Full catalog of mathematical formulas at 12 from their sponsors. If you do not want to have ads in the application, you can purchase the PRO version at a very small price. You can also enjoy the extraordinary power of their calculators: matrix inversion, calculation of lines, planes, vectors and their interactions in space: cutoffs, angles between them, etc. Essential to solving problems. Help us to improve it! of their sponsors. If you do not want to have ads on the application, you can purchase the PRO version at a very low price. Help us to improve this tool!
Texts, prayers and daily readings of the Holy Mass in the major languages of the world, to help keep you and your mass companions. For our trips abroad without knowing the local language well ... including Latin!!.
Audio The Holy Rosary to pray it together. You can also access the texts. Automatic selection of the Mysteries for the day of the week.
Also hold the written and audio texts of these cults common: Angelus, Chaplet of Divine Mercy and the main Common Prayer:
You can help us by reviewing and communicating any errors or inaccuracies in the texts and languages Let us know if you require it in your language and is not yet available. We will try to please you as soon as possible.
God bless you!
PERMISSIONS REQUIRED:
INTERNET and ACCESS_NETWORK_STATE to access the external database of readings. WRITE_EXTERNAL_STORAGE to access the internal liturgical calendar.By purchasing this great product at this reasonable price you are collaborating in developing and improving future versions of which you can benefit through automatic updates. |
Summary
This DVD provides step-by-step instruction of important concepts for the topics discussed in the text. The DVD is easy to follow and includes full color graphics and animations to help facilitate classroom integration. Topics covered include: Safety, Construction Math, Tools & Fasteners and Construction Drawings. |
Expression Calculator 1.1 (Android 2.1+)
Expression Calculator 1.1 (Android 2.1+)
Introducing the all new very handy calculator! It will be useful to students and researchers, as well as all those who have to work to engage non-numeric computation. Requires Android 2.1 or higher!
This calculator provides the following features:
1. Standard calculation
2. Calculation using different functions (trigonometric, inverse trigonometric supported)
3. Calculations using variables with user-defined values. You can set variable to numeric value or to another expression (like "sin(x)+2*cos(x)).
4. Calculaion using variables without values (expression calculation).
5. Calculation with user-defined precision |
Courses
Fundamentals of Math
FOM is a transitional course in our math curriculum designed to automate the upper level skills of arithmetic while introducing abstract arithmetic concepts.
Math Models
This course is designed for cadets who need a review or introduction to basic arithmetic operations before continuing to a higher level. Cadets in this course will build their skills in fractions, decimals, percentages, signed numbers, powers and roots. After mastering the basics, they will continue on to learn algebraic expressions and formulas, solving equations and inequalities, polynomials and factoring in preparation for higher-level classes like algebra II and pre-calculus. Additionally, cadets will build their geometry skills through angles, triangles, planes and solid figures. Before concluding the class, cadets will learn how to use graphs, maps and charts.
Algebra I
This course focuses on mathematical problem solving or the application of mathematical concepts in new situations. Cadets learn by working carefully designed problems that lead to the use of productive thought patterns utilizing concepts.
Algebra II
This course is designed to prepare cadets for pre-calculus. Cadets will continue to study area and volume and be introduced to more abstract geometric concepts, review prior algebra concepts and proceed through trigonometric ratios, rectangular and polar coordinates and on to changing from one coordinate system to the other.
Geometry
One of the main objectives of this course is to enhance cadets' logical thinking skills. The course begins with an introduction to the basic concepts of geometry, such as lines, planes and points, then progresses to the study of various geometric shapes and their properties, and concludes with proofs.
Pre-Calculus
This course provides in-depth coverage of trigonometry, logarithms, analytic geometry and upper level algebraic concepts. Cadets expand their understanding of mathematical concepts through the use of symbolic reasoning and analytical methods to represent mathematical situations, to express generalizations and study the relationships between them.
Advanced Mathematics
With a teacher's recommendation, cadets accelerating in math may take the first year (pre-calculus) and then proceed to calculus. All other cadets will continue with advanced math. Pre-calculus and advanced math provide in-depth coverage of trigonometry, logarithms, analytic geometry and upper level algebraic concepts.
Calculus
An advanced placement (AP) course in calculus consists of a full high school academic year, which is comparable to college calculus coursework. It is expected that cadets who take AP calculus will seek college credit, college placement, or both, from institutions of higher learning.
Statistics
This course introduces cadets to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Cadets will be exposed to four major concepts: exploring data, planning a study, probability as it relates to distribution of data and inferential reasoning and modeling.
Honors and Advanced Placement
The advanced placement program prepares cadets to take the College Board Advanced Placement Exam for each of the courses offered. Currently, the MMA Mathematics Department offers statistics and calculus AP opportunities.
Faculty
John Blackwell has lived in the Rio Grande Valley his entire life. He entered the U.S. Air Force directly after graduation from high school in 1966 and served for four years. He then attended Pan American University and graduated with a bachelor's degree in math with a minor in physics and subsequently taught both courses in the public school system for 29 years.
Rick Scott grew up in Memphis, Tennessee and graduated from the University of Tennessee in 1969 with a Bachelor of Science in Education with a concentration in mathematics. He taught high school math for five years before entering the insurance profession in 1974. After retiring from insurance in 2002, he moved to Harlingen where he taught at Rio Hondo High School from 2005 to 2007.
Lori Lazaro grew up in Troy, Michigan. She earned her Bachelor of Arts in Math Education in 1994 from Brigham Young University and in 2010, received her Master of Science in Mathematics with a teaching emphasis from The University of Texas at Brownsville. Mrs. Lazaro has taught math at the secondary level for 17 years at various high schools and middle schools and dual enrollment college courses throughout the Rio Grande Valley.
Rudy Parast has over 25 years of experience teaching and has taught at both the high school and college level. Mr. Parast attended the University of Washington in Seattle where he received his Bachelor of Science in Chemical Engineering in 1982 with a minor in chemistry and mathematics. The following year, he and his wife moved to the Rio Grande Valley, where she accepted a position with the Marine Military Academy. In 2001, he returned to school and earned his master's degree in mathematics from the University of Texas in Edinburg. |
WestboroughMost American students begin their study of algebra with an introductory unit in their middle school or junior high math courses. In this unit, they are usually exposed to very basic algebraic equations, such as X + 3 = 8, and taught how to solve these equations for X. In Algebra 1, in addition...
...Degrees in mathematics, philosophy, and linguistics.I have a doctorate in linguistics from UCLA and have published dozens of research articles about language, including several in Verbatim, the language quarterly. My book, "Fatal Words: Communication Clashes and Aircraft Crashes," examines the p... |
THINKING MATHEMATICALLY - 2nd edition
Summary: Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practic...show moreal, it involves the reader in questions so that subsequent discussions speak to immediate experience4672 +$3.99 s/h
Good
Revival Books Haslingden,
2010 Paperback Ex Library book with usual stamps and stickers. Small remainder mark to the page edges. A few small marks47.78 +$3.99 s/h
Good
Revival Books Haslingden,
2010 |
Precalculus: Finish vectors. Law of sines and law of cosines quiz due. Vector test and project next week. Register at for on line quizzes. Algebra II: Lessons 6.4 and 6.5. Bellwork quiz on 6.4 is Thursday.
Bonus next test. All Classes. Write your answer next to your name on your test paper.
____________________ lived around the year 250 BC and among other things, developed a method for determining the volume of objects with irregular shapes
If you need to download free powerpoint viewer go to this site from Microsoft. |
This month's
issue is dedicated to the release of Maple 11. Whether
you need to do quick calculations, develop design sheets, produce
sophisticated simulation models, or teach fundamental concepts,
Maple 11's world-leading computation engine offers the breadth
and depth to handle every type of mathematics. We also feature the
release of Maple T.A. 3.0, the easy-to-use web-based system
for creating tests and assignments, automatically assessing student
responses and performance. We highlight these latest releases along
with the numerous Maple 11 resources now available.
News
& Announcements
Maple
11 combines the world's most powerful mathematical
computation engine with an intuitive user-interface
that eliminates the learning curve so common with other
mathematical software. Its smart document environment
automatically captures all of your technical knowledge
in an electronic form that seamlessly integrates calculations,
explanatory text and math, graphics, images and sound,
and more. These concise live documents can be reused
or shared with your colleagues.
Maple
T.A. is an easy-to-use web-based system for creating
tests and assignments, automatically assessing student
responses and performance. The new edition, Maple
T.A. 3.0 features increased flexibility in content
creation, an enhanced user interface, and improved
grading and assessment capabilities. The product supports
complex, free-form entry of mathematical equations
and intelligent evaluation of responses, making it
the only system designed for mathematics, science,
or any course requiring mathematics.
Join
us for the Introduction
to Maple 11 Webinar. This is your chance to
get a preview of the recently-announced Maple 11. In this
one-hour demonstration and Q & A forum, you will learn
about the:
new smart-document user interface,
enhanced mathematical power, and
increased connectivity to other tools
All of which will dramatically improve
your mathematical and technical problem-solving projects. Teaching
with Maple 11 Webinar presents essential Maple
11 techniques for revitalizing your math class room. Learn
how Maple 11 can free the instructor and student to focus
on concepts rather than on manual manipulation and how a
new generation of product features greatly enhance the presentation
quality of your mathematical work. Introduction
to Maple T.A. 3.0 Webinar provides an overview
of the new and improved features in the latest release of
Maple T.A. Focusing on ease of use, this release contains
an enriched authoring environment, a brand-new Gradebook,
and additional authentication and administration features.
Maple
11 for Simulink Webinar will introduce you
to the power of the Maple product line for rapidly developing
solutions and deriving highly efficient engineering system
models for easy implementation in your simulation tool-chain.
Within an hour, you will learn how to:
reduce project time "from weeks
to days" by making advanced engineering math work
for you
generate optimal design parameters
using automated optimization tools
import Simulink models into Maple
for analysis and simplification
rapidly develop physical models from
first principles for easy implementation in Simulink
The
Maple Adoption Program™ is
designed to benefit both educators and students. This program
makes it simpler for educators to incorporate the benefits
of Maple into their courses and makes learning and owning
Maple easier for students. Upon joining the program and registering
a course, the instructor will receive their own one-year license
of Maple 11 to assist them with classroom preparation. As
well, students are eligible to purchase the Maple 11 Student
Edition at a special low price.
MaplePrimes
MaplePrimes
is a great place for finding new information on Maple and
other Maple products. For example, with the announcement
of Maple 11, you can find detailed information about Maple's
new features here.
You can also read and discuss the announcement of Maple
T.A. 3.0. During the time leading up to the availability
of Maple 11, you can keep checking MaplePrimes to find more
information and discussion on the new product, come read it
for yourself at
Application
Center Highlights
The Maple Application
Center has received the following new applications over
the last month:
Here are some highlights
of this past months press coverage and new press related
to the launch of Maple 11. In addition to these articles
on Maple 11, coverage has been seen in Automation.com, CADWire,
and other key publications.
"Maple 11 is the ideal tool for engineers and scientists
to streamline and increase quality of analytical work. With
Maple 11, the company is advancing the revolutionary technical
document interface technology it introduced two years ago."
"Maplesoft's newest release of Maple 11 features enhancements
to the company's smart document interface, a strong computation
engine, and connectivity capabilities. The result is an
engineering software tool that provides users the necessary
technology to reduce error and dramatically increase analytical
productivity."
"Maple has a Derivative
Securities book that provides an excellent entry point for
learning the ropes…Constructing different scenarios
in Maple, tuning parameters to see how well they can be
made to mimic particular past event structures, the broad
similarities and differences between physical and financial
views of the world begin to emerge."
In addition to these articles, check out the
Media
Center for all the latest coverage on Maplesoft. |
Geometry: A Comprehensive Course (Dover Books on Mathematics)
Book Description: "A lucid and masterly survey." — Mathematics GazetteProfessor Pedoe is widely known as a fine teacher and a fine geometer. His abilities in both areas are clearly evident in this self-contained, well-written, and lucid introduction to the scope and methods of elementary geometry. It covers the geometry usually included in undergraduate courses in mathematics, except for the theory of convex sets. Based on a course given by the author for several years at the University of Minnesota, the main purpose of the book is to increase geometrical, and therefore mathematical, understanding and to help students enjoy geometry.Among the topics discussed: the use of vectors and their products in work on Desargues' and Pappus' theorem and the nine-point circle; circles and coaxal systems; the representation of circles by points in three dimensions; mappings of the Euclidean plane, similitudes, isometries, mappings of the inversive plane, and Moebius transformations; projective geometry of the plane, space, and n dimensions; the projective generation of conics and quadrics; Moebius tetrahedra; the tetrahedral complex; the twisted cubic curve; the cubic surface; oriented circles; and introduction to algebraic geometry.In addition, three appendices deal with Euclidean definitions, postulates, and propositions; the Grassmann-Pluecker coordinates of lines in S3, and the group of circular transformations. Among the outstanding features of this book are its many worked examples and over 500 exercises to test geometrical understanding |
7TH GRADE MATH STANDARDS
ALGEBRA STANDARDS
Goal 1: Students will use the language of algebra to explore, • 7.M.1.1: (Comprehension) Select, use, and convert
describe, represent, and analyze number expressions and relations appropriate unit of measurement for a situation including
that represent variable quantities. capacity and angle measurement.
Indicator 1: Use procedures to transform algebraic expressions. • 7.M.1.2: (Comprehension) Given the formulas, find the
circumference, perimeter, and area of circles,
• 7.A.1.1: (Application) Write and evaluate algebraic parallelograms, triangles, and trapezoids (whole number
expressions using the set of whole numbers. measurement).
• 7.A.1.2: (Knowledge) Identify associative, commutative, NUMBER SENSE STANDARDS
distributive, and identity properties involving algebraic Goal 4: Students will develop and use number sense to investigate
expressions. the characteristics of numbers in a variety of forms and modes of
operation.
Indicator 2: Use a variety of algebraic concepts and methods to
solve equations and inequalities. Indicator 1: Use the structural characteristics of the set of real
numbers and its various subsets. Apply the concept of value,
• 7.A.2.1: (Application) Write and solve one-step 1st magnitude, and relative magnitude of real numbers.
degree equations, with one variable, using the set of
integers and inequalities, with one variable, using the set • 7.N.1.1: (Comprehension) Represent numbers in a
of whole numbers. variety of forms by describing, ordering, and comparing
integers, decimals, percents, and fractions.
Indicator 3: Interpret and develop mathematical models.
• 7.N.1.2: (Application) Find and use common multiplies
• 7.A.3.1: (Application) Identify and graph ordered pairs and factors of whole numbers.
on a coordinate plane and inequalities on a number line.
Indicator 2: Apply operations within the set of real numbers.
Indicator 4: Analyze and describe the properties and behaviors of
relations, functions, and their inverses. • 7.N.2.1: (Application) Add, subtract, multiply, and
divide integers and positive fractions.
• 7.A.4.1: (Application) Recognize one-step patterns using
tables, graphs, and models and create one-step algebraic Indicator 3: Develop conjectures, predictions, or estimations to
expressions representing the pattern. solve problems and verify or justify the results.
• 7.N.3.1: (Application) Use various strategies to solve
GEOMETRY STANDARDS one- and two-step problems involving positive fractions
Goal 2: Students will use the language of geometry to discover, and integers.
analyze, and communicate geometric concepts, properties, and
relationships. STATISTICS AND PROBABILITY STANDARDS
Goal 5: Students will apply statistical methods to analyze data and
Indicator 1: Use deductive and inductive reasoning to recognize explore probability for making decisions and predictions.
and apply properties of geometric figures.
Indicator 1: Use statistical models to gather, analyze, and display
• 7.G.1.1: (Application) Identify, describe, and classify data to draw conclusions.
polygons having up to 10 sides.
• 7.S.1.1: (Comprehension) Find the mean, median, mode,
• 7.G.1.2: (Knowledge) Identify and describe elements of and range of a set of data.
geometric figures
• 7.S.1.2: (Application) Display data, using frequency
Indicator 2: Use properties of geometric figures to solve tables, line plots, stem-and-leaf plots and make
problems from a variety of perspectives. predictions from data displayed in a graph.
• 7.G.2.1: (Application) Demonstrate ways that shapes can Indicator 2: Apply the law of probability to predict outcomes and
be transformed. solve problems.
MEASUREMENT STANDARDS • 7. S.2.1: (Comprehension) Given a sample space, find
Goal 3: Students will apply systems of measurement and use the probability of a specific outcome.
appropriate measurement tools to describe and analyze the world
around them.
Indicator 1: Apply measurement concepts in practical
applications.
8th GRADE MATH STANDARDS
ALGEBRA STANDARDS MEASUREMENT STANDARDS
Goal 1: Students will use the language of algebra to explore, Goal 3: Students will apply systems of measurement and use
describe, represent, and analyze number expressions and relations appropriate measurement tools to describe and analyze the world
that represent variable quantities. around them.
Indicator 1: Use procedures to transform algebraic expressions. Indicator 1: Apply measurement concepts in practical
applications.
• 8. A.1.1. (Application) Use properties to expand,
combine, and simplify 1st degree algebraic expressions • 8. M.1.1. (Application) Apply proportional reasoning to
with the set of integers. solve measurement problems with rational number
measurements.
Indicator 2: Use a variety of algebraic concepts and methods to
solve equations and inequalities. • 8. M.1.2. (Comprehension) Find area, volume, and
surface area with whole number measurements.
• 8. A.2.1. (Application) Write and solve two-step 1st
degree equations, with one variable, and one-step NUMBER SENSE STANDARDS
inequalities, with one variable, using the set of integers. Goal 4: Students will develop and use number sense to investigate
the characteristics of numbers in a variety of forms and modes of
Indicator 3: Interpret and develop mathematical models. operation.
• 8. A.3.1. (Comprehension) Describe and determine linear Indicator 1: Use the structural characteristics of the set of real
relationships. numbers and its various subsets. Apply the concept of value,
magnitude, and relative magnitude of real numbers.
Indicator 4: Analyze and describe the properties and behaviors of
relations, functions, and their inverses. • 8.N.1.1. (Comprehension) Represent numbers in a variety
of forms and identify the subsets of rational numbers.
• 8. A.4.1. (Synthesis) Create rules to explain the
relationship between numbers when a change in the first Indicator 2: Apply operations within the set of real numbers.
variable affects the second variable.
• 8. N.2.1. (Application) Read, write, and compute within
• 8. A.4.2. (Analysis) Describe and represent relations any subset of rational numbers.
using tables, graphs, and rules.
Indicator 3: Develop conjectures, predictions, or estimations to
solve problems and verify or justify the results.
GEOMETRY STANDARDS
Goal 2: Students will use the language of geometry to discover, • 8. N.3.1. (Application) Use various strategies to solve
analyze, and communicate geometric concepts, properties, and multi-step problems involving rational numbers.
relationships.
STATISTICS AND PROBABILITY STANDARDS
Indicator 1: Use deductive and inductive reasoning to recognize Goal 5: Students will apply statistical methods to analyze data and
and apply properties of geometric figures. explore probability for making decisions and predictions.
• 8. G.1.1. Describe and classify prisms, pyramids, Indicator 1: Use statistical models to gather, analyze, and display
cylinders, and cones. data to draw conclusions.
• 8. G.1.2. (Application) Given any two sides of an • 8. S.1.1. (Comprehension) Find the mean, median, mode,
illustrated right triangle, use the Pythagorean Theorem to and range of a data set from a stem–and-leaf plot and a
find the third side. line plot.
Indicator 2: Use properties of geometric figures to solve • 8. S.1.2. (Application) Use a variety of visual
problems from a variety of perspectives. representations to display data to make comparisons and
predictions.
• 8. G.2.1. (Application) Write and solve proportions that
express the relationships between corresponding parts of Indicator 2: Apply the law of probability to predict outcomes and
similar quadrilaterals and triangles. solve problems.
• 8. S.2.1. (Comprehension) Find the sample space and
compute probability for two simultaneous independent
events.
HIGH SCHOOL ALGEBRA STANDARDS
Goal 1: Students will use the language of algebra to explore, Indicator 4: Analyze and describe the properties and behaviors of
describe, represent, and analyze number expressions and relations relations, functions, and their inverses.
that represent variable quantities. Core HS Standards
• 9-12.A.4.1. (Application) Use graphs, tables, and
Indicator 1: Use procedures to transform algebraic expressions. equations to represent linear functions.
Core HS Standards
• 9-12.A.1.1. (Comprehension) Write equivalent forms of Advanced HS Standards
algebraic expressions using properties of the set of real o 9-12.A.4.1A. (Analysis) Determine the domain, range,
numbers. and intercepts of a function.
Advanced HS Standards o 9-12.A.4.2A. (Analysis) Describe the behavior of a
o 9-12.A.1.1A. (Application) Write equivalent forms of polynomial, given the leading coefficient, roots, and
rational algebraic expressions using properties of real degree.
numbers.
o 9-12.A.4.3A. (Analysis) Apply transformations to graphs
o 9-12.A.1.2A. (Application) Apply properties and and describe the results.
definitions of trigonometric, exponential, and logarithmic
expressions. o 9-12.A.4.4A. (Application) Apply properties and
definitions of trigonometric, exponential, and logarithmic
Indicator 2: Use a variety of algebraic concepts and methods to expressions.
solve equations and inequalities.
Core HS Standards o 9-12.A.4.5A. (Analysis) Describe characteristics of
• 9-12.A.2.1. (Comprehension) Use algebraic properties to nonlinear functions and relations.
transform multi-step, single variable, and first-degree
equations. o 9-12.A.4.6A. (Application) Graph solutions to linear
inequalities.
• 9-12.A.2.2. (Application) Use algebraic properties to
transform multi-step, single variable, and first-degree
inequalities and represent solutions using a number line.
Advanced HS Standards
o 9-12.A.2.1A. (Analysis) Determine solutions of quadratic
equations.
o 9-12.A.2.2A. (Application) Determine the solution of
systems of equations and systems of inequalities.
o 9-12.A.2.3A. (Application) Determine solutions to
absolute value statements.
Indicator 3: Interpret and develop mathematical models.
Core HS Standards
• 9-12.A.3.1. (Application) Create linear models to
represent problem situations.
• 9-12.A.3.2. (Comprehension) Distinguish between linear
and nonlinear models.
Advanced HS Standards
o 9-12.A.3.1A. (Analysis) Distinguish between linear,
quadratic, inverse variations, and exponential models.
o 9-12.A.3.2A. (Synthesis) Create formulas to model
relationships that are algebraic, geometric, trigonometric,
and exponential.
o 9-12.A.3.3A. (Analysis) Use sequences and series to
model relationships.
HIGH SCHOOL GEOMETRY AND MEASUREMENT STANDARDS
GEOMETRY STANDARDS MEASUREMENT STANDARDS
Goal 2: Students will use the language of geometry to discover, Goal 3: Students will apply systems of measurement and use
analyze, and communicate geometric concepts, properties, and appropriate measurement tools to describe and analyze the world
relationships. around them.
Indicator 1: Use deductive and inductive reasoning to recognize Indicator 1: Apply measurement concepts in practical
and apply properties of geometric figures. applications.
Core HS Standards Core HS Standards
• 9-12.G.1.1. (Application) Apply the properties of • 9-12.M.1.1. (Comprehension) Choose appropriate unit
triangles and quadrilaterals to find unknown parts. label, scale, and precision.
• 9-12.G.1.2. (Application) Identify and apply relationships • 9-12.M.1.2. (Comprehension) Use suitable units when
among triangles. describing rate of change.
Advanced HS Standards • 9-12.M.1.3. (Application) Use formulas to find perimeter,
o 9-12.G.1.1A. (Evaluation) Justify properties of geometric circumference, and area to solve problems involving
figures. common geometric figures.
o 9-12.G.1.2A. (Application) Determine the values of the Advanced HS Standards
sine, cosine, and tangent ratios of right triangles. o 9-12.M.1.1A. (Application) Use dimensional analysis to
check answers and determine units of a problem solution.
o 9-12.G.1.3A. (Application) Apply properties associated
with circles. o 9-12.M.1.2A. (Analysis) Use indirect measurement in
problem situations that defy direct measurement.
o 9-12.G.1.4A. (Analysis) Use formulas for surface area
and volume to solve problems involving three-
dimensional figures.
Indicator 2: Use properties of geometric figures to solve
problems from a variety of perspectives.
Core HS Standards
• 9-12.G.2.1. (Analysis) Recognize the relationship
between a three-dimensional figure and its two-
dimensional representation.
• 9-12.G.2.2. (Application) Reflect across vertical or
horizontal lines, and translate two-dimensional figures.
• 9-12.G.2.3. (Application) Use proportions to solve
problems.
Advanced HS Standards
o 9-12.G.2.1A. (Synthesis) Use Cartesian coordinates to
verify geometric properties.
HIGH SCHOOL NUMBER SENSE AND STATISTICS AND PROBABILITY STANDARDS
NUMBER SENSE STANDARDS STATISTICS AND PROBABILITY STANDARDS
Goal 4: Students will develop and use number sense to investigate Goal 5: Students will apply statistical methods to analyze data and
the characteristics of numbers in a variety of forms and modes of explore probability for making decisions and predictions.
operation.
Indicator 1: Use statistical models to gather, analyze, and display
Indicator 1: Use the structural characteristics of the set of real data to draw conclusions.
numbers and its various subsets. Apply the concept of value, Core HS Standards
magnitude, and relative magnitude of real numbers. • 9-12.S.1.1. (Analysis) Draw conclusions from a set of
Core HS Standards data.
• 9-12.N.1.1. (Comprehension) Identify multiple
representations of a real number. • 9-12.S.1.2. (Comprehension) Compare multiple one-
variable data sets, using range, interquartile range, mean,
• 9-12.N.1.2. (Comprehension) Apply the concept of place mode, and median.
value, magnitude, and relative magnitude of real numbers.
• 9-12.S.1.3. (Analysis) Represent a set of data in a variety
Advanced HS Standards of graphical forms and draw conclusions.
o 9-12.N.1.1A. (Comprehension) Describe the relationship
of the real number system to the complex number system. Advanced HS Standards
o 9-12.S.1.1A. (Evaluation) Analyze and evaluate the
o 9-12.N.1.2A. (Application) Apply properties and axioms design of surveys and experiments.
of the real number system to various subsets, e.g., axioms
of order, closure. o 9-12.S.1.2A. (Evaluation) Analyze and evaluate graphical
displays of data.
Indicator 2: Apply operations within the set of real numbers.
Core HS Standards o 9-12.S.1.3A. (Analysis) Compare multiple one-variable
• 9-12.N.2.1. (Comprehension) Add, subtract, multiply, and data sets, using standard deviation and variance.
divide real numbers including integral exponents.
o 9-12.S.1.4A. (Application) Describe the normal curve
Advanced HS Standards and use it to make predictions.
o 9-12.N.2.1A. (Application) Add, subtract, multiply, and
divide real numbers including rational exponents. o 9-12.S.1. 5A. (Application) Use scatter plots, best-fit
lines, and correlation coefficients to model data and
Indicator 3: Develop conjectures, predictions, or estimations to support conclusions.
solve problems and verify or justify the results.
Core HS Standards Indicator 2: Apply the law of probability to predict outcomes and
• 9-12.N.3.1. (Analysis) Use estimation strategies in solve problems.
problem situations to predict results and to check the Core HS Standards
reasonableness of results. • 9-12.S.2.1. (Knowledge) Distinguish between
experimental and theoretical probability.
• 9-12.S.2.2. (Comprehension) Predict outcomes of simple
events using given theoretical probabilities.
Advanced HS Standards
o 9-12.S.2.1A. (Application) Use probabilities to solve
problems.
o 9-12.S.2.2A. (Application) Determine probability of
compound, complementary, independent, and mutually
exclusive events.
o 9-12.S.2.3A. (Analysis) Generate data and use the data to
estimate empirical probabilities |
BASIC MATH HANDBOOK ... The first part contains a formula sheet of commonly referred to formulas in the water industry. ... By analyzing units (called dimensional analysis) in a formula or mathematical calculation you can determine if the problem is set up correctly.
BasicFormulas and Mathematical Results Used in the Analysis 219 Let us call r∗ the expected rate of return on contributions that an individual who enters the system at time 1 and retires at time R would
UNIT1 Electrician's Math and . Basic Electrical Formulas. INTRODUCTION TO UNIT 1—ELECTRICIAN'S MATH AND BASIC ELECTRICAL FORMULAS. In order to construct a building that will last into the future, a strong foundation is a prerequisite.
This article has three basic steps on how to master reading Mathematicalformulas. These steps are a good reference. The same method of reading Math formulas in Algebra ... Understanding how to read mathematics formulas requires a basic understanding
Summary of BasicFormulas ... of these units is necessary to describe the mathematical result correctly. According to the identity principle, any number/variable divided by itself is equal to 1 and can thus be removed from the equation. 2 2 57 1
these concepts we first have to master some basicmathematical skills that will allow us to ... Many students treat mathematical equations (or formulas) as mystical black boxes, memorized, used to "plug and chug", but generally without meaning.
Entering a basic formula A formula is a worksheet entry that performs a calculation. You can use the following mathematical operators in formulas. Operator Description + Addition - Subtraction * Multiplication / Division You ...
mathematical calculation like 15 + 46 can be accomplished as shown ... The most basic functions create formulas for basic arithmetic or for evaluating numbers in a range of cells. Basic arithmetic The simple arithmetic functions are addition, subtraction,
Basic Water and Wastewater Formulas Summary Operators obtaining or maintaining their certification must be able to calculate complex formulas and conversion factors. This Tech Briefprovides basic examples of these formulas and conversion factors.
Australian Journal of Basic and Applied Sciences, 5 ... mathematical symbols and mathematicalformulas. The MDS can help distance learners understand mathematical knowledge, with the freedom and flexibility offered by the online environment.
SAY, "Today we will discuss basic spreadsheet formulas using mathematical operators with which you're already familiar (such as addition, subtraction, division , and multiplication). I will show you how you could use each formula to approachThis proficiency is basic to safely administering medications and intravenous fluids. Enclosed is a booklet to guide you in mastering the mathematical competencies ... There are multiple mathematicalformulas that may be used to calculate dosages
you may need to brush up on some basicmathematical concepts to appreciate fully the understanding my texts are trying to convey. ... Because statistical formulas frequently contain fractions, and changing the form of the fraction can make the formula look very different, it is
Simple Addition Formula in an Excel 2007 Document Formulas allow calculations to be performed on data and entered into the spreadsheet. Excel 2007 offers many formulas for basic number crunching, such as addition or subtraction, |
MiGen
Background
Mathematics is the science of patterns. Identifying, analysing, and predicting patterns is the source of the power of mathematics – whether it's a sequence of numbers, the structure of shapes, the change in the climate, the spread of a virus. But finding patterns in a few cases is not enough for mathematicians: the trick is to express the pattern so that it's true for all cases – to generalise it.
This concept at the heart of mathematics is very difficult to learn and teach. The MiGen project is unlocking the mystery of generalisation to unlock the wonders of maths for 11-14 year olds with an intelligent microworld that presents algebra in a new visual format.
About the project
MiGen has funding of £1.25m (2009– 2011). The 13 members of the team are based at London Knowledge Lab, (IOE and Birkbeck, University of London).
Tools
The eXpresser: students can construct patterns, express the structure within thepatterns and the relationships that underpin them.
The eGeneraliser: gives intelligent support to students as they use the eXpresser, giving hints and clues to what to do next.
The eCollaborator: allows students to reflect, share and discuss their patterns with others, compare approaches and refine their work.
The Teacher Assistance tools: provide info on students progress, aiding the facilitation of students' interaction with the eXpresser.
Research highlights
The team found that nearly all secondary students struggle to see general patterns emerging from specific cases, and to link variables so that one depends on another. Early evidence shows that the system helps students with this difficulty.
The eXpresser allows students to 'keep an eye on the general' and this leads to enhanced understanding of what the general case is, why it is important, and how to express it.
In order to support students and assist teachers, the team elaborated on the relationship between exploration, instruction and epistemology. Through the lens of constructionism the MiGen features offer support to students and teachers, while allowing appropriate student autonomy and exploration.
The team conceptualised, designed and implemented an architecture and related tools for intelligent support in microworlds and exploratory learning environments in general.
Test drive MiGen
Publications, demos and tutorials of the MiGen software, will be available from this website soon. |
Numerical Analysis A Mathematical Introduction
9780198502791
ISBN:
0198502796
Publisher: Oxford University Press, Incorporated
Summary: 'Numerical Analysis' explains why numerical computations work or fail. These are mathematical questions, and the text provides students with a complete and sound presentation of the interface between mathematics and scienctific computation.
Schatzman, Michelle is the author of Numerical Analysis A Mathematical Introduction, published under ISBN 9780198502791 and 0198502796. Fifteen Numerical Analysis A Mathe...matical Introduction textbooks are available for sale on ValoreBooks.com, thirteen used from the cheapest price of $22.39, or buy new starting at $103.65 |
Deductive Geometry is for students, parents, and teachers who need practice solving proofs in geometry. Specifically, where geometry is part of the 4e curriculum in a French program, or for American students taking geometry between grades 8 and 10. This book shows, step-by-step, how to reason and solve geometry problems by writing solutions in a clear, logical, and deductive sequence. This strategy is called modeling. Students learn by imitating the method and eliminating all the non-value adding verbiage that are distracting to the grader. By showing the core steps required to solve a problem, students avoid extraneous text and steps that make the solution difficult to follow and difficult for the grader to evaluate with precision. The book should be used as a complement to any geometry textbook. It is especially beneficial for average students with difficulties writing the solution to a problem in a logical deductive process. I would recommend the user of my book to, first, try to solve the problems entirely before comparing with the step-by-step solutions following each chapter.
Preview coming soon.
Mr. Guyamier has a baccalaureate and a master's degree in math education and over forty years experience of teaching mathematics in the United States and Canada. After years of using different books, he started writing this material for his own students over ten years ago and has been refining it ever since.
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Course Descriptions
Mathematics Course Descriptions
MAT-designated courses (with the exception of MAT101 and MAT102) qualify as Liberal Arts or Mathematics electives.
MAT101
Elementary Algebra - 3 Credits
This course develops the fundamental processes of algebraic thinking and provides students with the skills for further study in higher level algebra based courses. Topics include a study of the real number system, solving and graphing linear equations and inequalities in one and two variables, exponents, scientific notation, operations on polynomials, ratios, proportions, and basic factoring in a problem solving context. Course requires subscription to a supplementary online program. Graphing calculator will be provided for occasional use in class.
Prerequisite: Department recommendation.
MAT102
Intermediate Algebra - 3 Credits
This course builds upon algebraic skills learned in MAT101 or a similar experience and provides students with additional skills needed for further study in higher level algebra based courses. Topics include further development of the study of linear functions, solving absolute value equations and inequalities, solving linear systems for break-even analysis, working with polynomial functions, and further development of factoring skills, applications of quadratic functions, and simplifying rational and radical expressions. Course requires subscription to a supplementary online program.
A survey of mathematics topics all students need to meet with success in today's society. Topics include a study of number systems, essential algebraic & geometric principles, sets and logic, counting principles, statistics, graphing, and data analysis. Optional topics may include networks, money, and voting principles. Course requires subscription to a supplementary online program. Scientific calculator recommended. Course is designed to prepare students for success on standard workplace competency assessments.
MAT118
Geometric Applications - 3 Credits
Not your High School Geometry Class!! Geometric Applications is designed to address geometry topics as they apply to numerous cross-curricular programs, such as art, architecture, landscape design, computer programming/gaming, common core instruction, and science. Students will be participating in portfolio quality projects encompassing the critical concepts learned in previous studies of geometry. Final projects will be of the student's choice and may be related to their major. Students planning to teach geometric topics at any level will gain hands-on experience in a holistic approach to incorporating projects into a curriculum. Optional field trips may be offered at an additional fee.
MAT120
College Algebra - 3 Credits
This course provides a deeper understanding of the concepts of algebra including function applications, inequalities in two variables, matrix operations, linear programming, quadratic and polynomial applications, and solving rational and radical equations. Course requires subscription to a supplementary online program.
Prerequisite: Successful completion of two years of High School Algebra or the equivalent.
MAT130
Pre-Calculus and Trigonometry - 3 Credits
This course is a study of functions deeply embedded with real-life activities. Topics include an overview of algebraic, exponential, logarithmic, rational, radical, and trigonometric functions as they are applied to daily life experiences. Course requires subscription to a supplementary online program. Graphing calculator required.
Prerequisite: MAT120, successful completion of High School Pre-Calculus or the equivalent, or Department recommendation.
Prerequisite: MAT130 or successful completion of a High School equivalent.
MAT172
Calculus II - 3 Credits
This course is a continuation of MAT171. Topics include the definite integral, the Fundamental Theorem of Calculus, exponential and logarithmic functions, techniques of integration, and applications. Course requires subscription to a supplementary online program. Graphing calculator required.
Prerequisite: MAT171.
MAT220
Statistics - 3 Credits
This course offers students an opportunity to experience statistics as it would occur in various settings. Topics are presented through real life case studies and include an overview of the fundamentals of statistics, collective and descriptive statistical techniques, data collection and sampling, the normal distribution and probability, hypothesis testing, population inferences, simple linear regression, and correlation. An understanding of basic algebra is required. Course requires subscription to a supplementary online program. Scientific or graphing calculator and access to a spreadsheet program is recommended.
MAT223
Statistics II - 3 credits
This course is a continuation of introductory statistics with applications. Topics covered include inferences involving two populations, analysis of variance, linear regression analysis, multiple regression, forecasting, time series analysis, and elements of nonparametric statistics. Course requires subscription to a supplementary online program. Scientific or graphing calculator and access to a spreadsheet program is recommended.
Prerequisite: MAT 220.
MAT230
Quantitative Analysis - 3 Credits
This course introduces mathematical techniques used in business, economics, and social sciences. Topics include mathematics of finance, systems of linear equations and inequalities, Gaussian elimination method, linear programming, Simplex method, and probability. These techniques are applied to the optimization of profit and cost functions that arise in production and transportation problems. Course requires subscription to a supplementary online program.
Prerequisite: MAT120 or MAT130.
MAT261
Discrete Mathematics - 3 Credits
This course introduces students to writing rigorous proofs in the context of discrete structures. Topics covered include propositional and predicate logic, set theory, elementary proof techniques, relations, functions on sets, induction, elementary number theory (integers and their properties), combinatorics (permutations, counting principles), and basic discrete probability.
Prerequisite: MAT171.
MAT271
Calculus III - 3 Credits
This is the third course in a two-year (four-course) calculus sequence. This course begins with analysis of sequences and series, familiarizing students with series convergence tests and leading to Taylor's theorem. The rest of the course is focused on differential calculus in two or more variables, including vectors and vector algebra, analytic geometry in space, functions of several variables, partial differentiation, vector functions, solving constrained optimization problems, and the technique of Lagrange multipliers.
Prerequisite: MAT172.
MAT272
Calculus IV - 3 Credits
This is the last course in a two-year (four-course) calculus sequence. This course is focused on integral calculus in two or more variables, including multiple integration (double integrals, iterated integrals, triple integrals), non-Cartesian coordinate systems (polar coordinates in 2D, cylindrical and spherical coordinates in 3D), line integrals, Green's theorem, and integral vector calculus (divergence and curl, Stokes' theorem, and Divergence theorem). |
Elementary Technical Mathematics - 9th edition
ISBN13:978-0495012740 ISBN10: 0495012742 This edition has also been released as: ISBN13: 978-0495113492 ISBN10: 0495113492
Summary: Ewen/Nelson's ELEMENTARY TECHNICAL MATHEMATICS, Ninth Edition is a well-respected, extremely user-friendly text. It emphasizes essential math skills and consistently relates math to practical applications so students can see how learning math will help them on the job. The applications are drawn from a wide array of technical fields, making the text useful to a broad range of students. Annotated examples and visual images are used to engage students and assist with prob...show morelem solving. Comprehensive and well-organized, this text engages students, providing them with a solid foundation in mathematical principles that will help them to succeed in the current course and beyond.
Features
This book features a large number of applications from a wide variety of technical areas noted by marginal icons, including auto-diesel mechanic, industrial and construction trades, electronics, agriculture, allied health, CAD/drafting, HVAC, welding, and aviation. Marginal icons are used to call attention to the applications, making it easier for instructors and students to benefit from them.
A laminated reference card of useful, frequently referenced information--such as metric system prefixes, English weights and measures, metric and English conversion, and formulas from geometry--is provided, perforated for easy removal and use.
Chapter 1 reviews basic concepts in such a way that students or the entire class can easily study only those sections they need to review.
The use of a scientific calculator has been integrated in an easy to use format throughout the text to reflect its nearly universal use in technical classes and on the job.
A comprehensive introduction to basic algebra is presented for those students who need it as a prerequisite to more advanced algebra courses. However, this book is written to allow the omission of selected sections or chapters without the loss of continuity, to meet the needs of specific students.
GROUP PROJECTS entitled ACCENT ON TEAMWORK are included at the end of each chapter.
A chapter review and a chapter test appear at the end of each chapter, as an aid for students in preparing for quizzes and exams. Cumulative reviews are provided at the end of every three chapters to help students review for comprehensive exams
New to this Edition
Coverage of descriptive statistics has been expanded in response to user feedback.
A new Section 2.7 on Engineering Notation makes the text even more practical for your students.
The use of author annotations in the examples has been substantially increased, providing the student with more guidance on the proper use of mathematical operations.
The interior design was enhanced to make key material more accessible and to make the text easier to use as a study tool.
The number of manufacturing applications has been increased, and many of them have been updated.
A new Ch. 16 on binary and hexadecimal systems has been added, for those who need to cover this material in their course.
Excessive wear to corners and fore edge. A readable copy. All pages are intact, and the cover is intact (the dust cover may be missing). Pages can include considerable notes--in pen or highlighter--bu...show moret the notes cannot obscure the text. Your item will be shipped within 2 business days. Thank You ...show less
$2.9011114 |
Every mathematician sooner or later meets the concept of a continued fraction. It should actually be part of the curriculum giving one of the fine opportunities to study a concept that can not be boxed in one sub- discipline! The interesting interplay between recurrence relations, difference equations, orthogonal polynomials, moment problems, approximation theory, geometry of zeroes etc. has led and is still leading to beautiful mathematics.
This book is not meant to be 'the' new text on continued fractions, making older works obsolete (as the authors state), but serves as a gentle introduction into the subject, urging people who are interested to pursue their endeavors by consulting the famous books by O. Perron [Die Lehre von den Kettenbrüchen; Teubner, Stuttgart, Band I (1954; Zbl 0056.059); Band II (1957; Zbl 0077.066)], H. S. Wall [Analytic theory of continued fractions; van Nostrand company, New York (1948; Zbl 0035.036)], A. N. Khovanskij [The application of continued fractions and their generalizations to problems in approximation theory; P. Noordhoff, Groningen (1963; Zbl 0106.272)] and W. B. Jones and W. J. Thron [Continued fractions, analytic theory and applications; Addison-Wesley (1980; Zbl 0445.30003), now distributed by Cambridge University Press, New York (1984; Zbl 0603.30009)] and journals and proceedings covering the ongoing research.
The book is not cheap but it is a must for every library. It can not only be used to get people interested in the subject itself, but it will also show how much mathematics can resemble a great experimental science where calculations and new theoretical insights go hand in hand to further a subject that easily crosses the sometimes unrealistic divisions between a lot of mathematical subdisciplines (including 'pure' and 'applied') and between mathematics and disciplines like electrotechnical engineering (design of filters, stability etc.)
The book consists of 12 chapters, an appendix (continued fractions expansions for elementary functions, hypergeometric functions, basic hypergeometric functions) and a subject index. Each of the chapters has its own set of problems and nearly all of the chapters are followed by remarks concerning ongoing research. The titles of the chapters speak for themselves: 1. Introductory examples (54 pages). 2. More basics (38 pages). 3. Convergence criteria (95 pages). 4. Continued fractions and three-term recurrence relations (54 pages). 5. Correspondence of continued fractions (51 pages). 6. Hypergeometric functions (40 pages). 7. Moments and orthogonality (36 pages). 8. Padé approximants (30 pages). 9. Some applications in Number Theory (44 pages). 10. Zero-free regions (40 pages). 11. Digital filters and continued fractions (40 pages). 12. Applications to some differential equations (38 pages). |
Find a Port BolivarDiscrete 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. I also help students use the tools of discrete math to see computational problems from a mathematical perspective |
Math Connects: Patterns, Functions, and
Algebra is a set of professional staff development modules that support
the Virginia Technology and Mathematics Standards of Learning in grades
6, 7, and 8, and Algebra I. The modules are designed to increase teachers'
content knowledge in mathematics as well as instruct them in the effective
use of technology in the middle grades and Algebra I classrooms. Staff
development programs can be designed using a single module or a combination
of modules depending on the identified needs of the school division.
In the 14 development modules, the instructional
portion is presented on videotapes and print materials are provided on
CD-ROM. Math Connects: Patterns, Functions, and Algebra was
developed by the Department of Education and produced by the Prince William
Network.
One set of these materials is being distributed
to each high school and middle school in Virginia as a staff development
resource. If you have any questions, please contact Deborah Lyman (mailto:dlyman@mail.vak12ed.edu)
at (804) 786-6418. |
Please note that we are still currently adding articles to the site. Be sure to have a look around but note that we're not finished yet!
Welcome to GCSE Math, your number one resource for free GCSE Maths revision!. Our aim is to be the best and most up to date GCSE Mathematics revision website on the Internet. For more information about the people behind GCSE Math visit our About Us page.
We cover the complete syllabus for all Foundation and Higher topics with a easy to navigate interface, offering articles in the following categories:
If you are unsure where to look, be sure to use the Search Box to find what you're looking for!
Information indicated by a 'Higher' box like this is only needed for the Higher Mathematics Papers. People studying for the Foundation Level paper do not need to revise this information.
Did you know? - Bits of information in italics like this are little interesting facts that I've come across whilst designing this website. They are NOT needed for the exam but I hope that you find them interesting all the same.
We hope you find everything you need on GCSE Math. If you have any comments, criticisms, queries or just general chit chat please don't hesitate to contact us. |
Using and Understanding Mathematics A Quantitative Reasoning Approach
9780321227737
ISBN:
0321227735
Edition: 3 Pub Date: 2004 Publisher: Addison-Wesley
Summary: Most students taking this course do so to fulfill a requirement, but the true benefit of the course is learning how to use and understand mathematics in daily life. This quantitative reasoning text is written expressly for those students, providing them with the mathematical reasoning and quantitative literacy skills they' ll need to make good decisions throughout their lives. Common-sense applications of mathematics... engage students while underscoring the practical, essential uses of math.
Bennett, Jeffrey O. is the author of Using and Understanding Mathematics A Quantitative Reasoning Approach, published 2004 under ISBN 9780321227737 and 0321227735. One hundred seventy three Using and Understanding Mathematics A Quantitative Reasoning Approach textbooks are available for sale on ValoreBooks.com, sixty five used from the cheapest price of $0.01, or buy new starting at $24 |
What can I do with mathematics?
Related Courses
Experimenting with
the Heart
Experimenting with real human hearts isn't possible, but experimenting with
accurate mathematical models of the human heart has led to a new understanding
of its complex processes. Mathematics and the computer can
replace years of experimentation in laboratories. For example, understanding
resulting from mathematics greatly speeds up the design and
implementation of artificial valves.
Equations based on Hooke's Law model the geometry of the heart by representing
muscle fibers as closed curves of different elasticities. The Navier-Stokes
equations, which describe all fluid flows, model blood flow in and around the
heart. The fact that the heart's shape is constantly changing, however, makes the
equations especially hard to solve, and a precise solution to the equation can't
be found. Approximate solutions are generated by computer.
New: Edgewood College Undergraduate Math Journal
For submission guidelines and other information, please contact Steven Post.
WHAT CAN I DO WITH A MATHEMATICS MAJOR?
While the main motivation to choose math as a major should stem from a combination of keen interest and high ability in math, students are naturally concerned about the opportunities available to a mathematics major or a mathematics teaching major after graduation. At this time, the math major appears to be in a better position than many other majors for employment in business, industry, government agencies, and teaching. The prospects are also good for well-qualified students to obtain support for graduate studies in either mathematics or mathematics education. Also a major in mathematics is excellent preparation for further study in many other fields.
In order to help you clarify your thoughts on what you want to get out of your collegiate experience as a math major, here are some questions to ask yourself:
Why do I like mathematics? What is it about math that attracts me to majoring in mathematics?
What type of mathematics do I like? Do I like the computational aspect? The rigor and logic? The problem solving experience? The theoretical aspect? Which content areas interest me?
What do I want to do for a career? Do I want to teach, or do I want pursue other avenues? If you want to teach, then:
what age group(s) do you want to teach? PreK, 1-6, 6-9, 9-12, college?
do you want to teach just mathematics, or do you want to have the flexibility to teach other fields as well?
If you are not interested in a career in teaching, then: are you interested in a career in business, industry, government, nonprofits, other alternatives?
How much education do I want to complete? Bachelors, Masters, or Ph.D.? Do I want to enter the work force right after graduation with the option to pursue graduate work later?
What do I need to do in order to further my career prospects?
What should I be doing academically to further my goals? Should I pick up a minor in another area? Should I try to double major?
What extracurriculars should I become involved in to further my goals? For example, should I get involved with the math club? Should I participate in the MCM Modeling Competition?
What types of work experience should I try to get to further my goals? Should I consider volunteer work experiences such as tutoring? Should I consider internships?
What organizations should I become involved in? What conferences or meetings might it be helpful to attend? |
Course Detail
Registration
Mathematics for Educators: Math as a Second Language
MAED 205 Z1 (CRN: 61105)
3 Credit Hours—Seats Available!
Jump Navigation
MAED 205 Z1 is a contract program.
To register for a contract course, you must first have permission of the organization sponsoring the course.
About MAED 205 Z1
This course lays the groundwork for all the Vermont Mathematics Initiative courses that follow. A major theme is understanding algebra and arithmetic through language. The objective is to provide a solid conceptual understanding of the operations of arithmetic, as well as the interrelationships among arithmetic, algebra, and geometry. Topics include arithmetic vs. algebra; solving equations; place value and the history of counting; inverse processes; the geometry of multiplication; the many faces of division; rational vs. irrational numbers and the one-dimensional geometry of numbers. All of the topics in this course are taught in the context of the mathematics curriculum in grades K-8. |
Maths Quest Manual for the TI-Nspire CAS Calculator 4E & eBookPLUS
This third edition of Maths Quest 11 Mathematical Methods CAS is a comprehensive text designed to meet the requirements of the VCE Units 1 and 2 Mathematical Methods CAS course. The textbook also benefits from new supporting calculator companions containing comprehensive step-by-step CAS calculator instructions, fully integrated into worked examples, for the TI-Nspire CAS calculators.
The student textbook contains the following new features: • cumulative exam practice questions to assist with exam preparation
The textbook continues to offer the following award-winning features: • exam practice sections with allocated time and marks. Fully worked solutions to these sections are available on eBookPLUS. • technology-free questions • electronic tutorials for key worked examples in each chapter • interactivities • eLessons • full colour with stimulating photographs and graphics • carefully graded exercises with many skill and application problems, including multiple-choice questions • easy to follow worked examples in the Think–Write format • cross references throughout exercises to relevant worked examples • comprehensive chapter reviews with exam-style questions • eBookPLUS references throughout to guide students and teachers to relevant online material.
What is eBookPLUS?
Maths Quest 11 Mathematical Methods CAS 3e eBookPLUS is an electronic version of the textbook and a complementary set of targeted digital resources. These flexible and engaging ICT activities are available to you online at the JacarandaPLUS website (
Students and teachers are given step by step instructions as well as clear and colourful calculator screen shots to enable them to learn to use the TI-Nspire CAS calculators loaded with the latest Operating System.
Maths Quest Manual for the TI-Nspire CAS calculator (Operating System v3) is a comprehensive step-by-step guide to using the TI-Nspire CAS calculator. It is designed to help students and teachers to integrate Computer Algebra Systems (CAS) into their learning and teaching of Mathematics.
Maths Quest Manual for the TI-Nspire CAS calculator is suitable for use by students from Years 9 to Year 12.
Features: • Calculator screen shots are now in full colour • New calculator functions, such as Vernier Dataquest, are explained • Each chapter is divided into 'How to' sections that provide clear, step-by-step instructions to the user • Easy-to-follow keystrokes and screen shots are accompanied by explicit explanations • Worksheets for almost every section are provided for further practice • A chapter of problem-solving questions is included with fully worked solutions on the eBookPLUS
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books.google.com - This... of the 19th Century
This determine certain geometric structures such as curves or surfaces; the enlargement of conceptions of space which led to non-Euclidean geometry; and the penetration of algebraic methods into geometry in connection with algebraic geometry and the geometry of transformation groups. The second part, on analytic function theory, shows how the work of mathematicians like Cauchy, Riemann and Weierstrass led to new ways of understanding functions. Drawing much of their inspiration from the study of algebraic functions and their integral, these mathematicians and others created a unified, yet comprehensive theory in which the original algebraic problems were subsumed in special areas devoted to elliptic, algebraic, Abelian and automorphic functions. The use of power series expansions made it possible to include completely general transcendental functions in the same theory and opened up the study of the very fertile subject of entire functions. This book will be a valuable source of information for the general reader, as well as historians of science. It provides the reader with a good understanding of the overall picture of these two areas in the nineteenth century and their significance today.
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Page 287 - History of ! and Technology, Moscow, Russia (Eds) Mathematics in the 19th Century Mathematical Logic, Algebra, Number Theory, Probability Theory 1992. 322 pages. Hardcover ISBN 3-7643-2552-6 The history of nineteenth-century mathematics has been much less studied than that of preceding periods. The historical period covered in this book extends from the early nineteenth century up to the end of the 1930s, as neither 1801 nor 1900 are, in themselves, turning points in the history of mathematics... |
This textbook is used by the Department of Mathematics at College of the Redwoods in Eureka, California for instructional purposes in their Math 120 course, Intermediate Algebra. This text was... More > written by the department specifically for use in Math 120.< Less
This is a complete curriculum for the second semester of algebra. It is designed to be used with the first semester book as well as the student workbook and teacher workbook. All these books are... More > available is a complete curriculum for the second semester of pre algebra. It is designed to be used with the first semester book as well as the student workbook with keys. All these books are available... More > book reviews the necessary concepts that appear on the Pennsylvania Algebra I Keystone Exam - Module 1. The fifteen Also included are two 20-question practice exams that include an answer key and scoring guidelines to gauge a student's ability level on the exam. Answers for all questions are provided to check the student's work and understanding.< Less
This book reviews the necessary concepts that appear on the Pennsylvania Algebra I Keystone Exam - Module 2. The twelve
Also included are two 20-question practice exams that include an answer key and scoring guidelines to gauge a student's ability level on the exam. Answers for all questions are provided to check the student's work and understanding.< Less
This book provides two free practice exams based upon the Algebra I Keystone Exams in Pennsylvania. The book is free to educators to use and reproduce. If you are interested in purchasing the... More > complete program, please feel free to visit: Less
This series of 26 warm-ups reviews eligible Algebra I Keystone Exam content for the Pennsylvania Department of Education's Algebra I Keystone Exam. Each review section includes 5-6 multiple-choice... More > questions and 1 two-part constructed response question. Answers for all questions are included as well as two complete practice exams per module.< Less |
Franklin D. Demana and Bert K. Waits Biographies
Franklin D. Demana and Bert K. Waits are widely recognized for their outstanding contributions to mathematics education. Texas Instrument's gift to the Mathematics Education Trust (MET), in recognition of the outstanding contributions to mathematics education by professors Demana and Waits, supports scholarships to student members of the National Council of Teachers of Mathematics (NCTM) who are undergraduates studying to become mathematics teachers.
Demana and Waits are well known for assisting in the design of the Texas Instruments family of graphing calculators and promoting the use of handheld technology in mathematics education. They are cofounders of T3: Teachers Teaching with Technology as well as the annual International Conference on Technology in Collegiate Mathematics (ICTCM) and the biannual International Conference on Technology in Mathematics Teaching (ICTMT). They cofounded the technology-enhanced curriculum revision project Calculator and Computer Precalculus (C2PC). Demana and Waits have codirected many mathematics education projects funded by the National Science Foundation (NSF). Over the years, they have coauthored three high school, college precalculus, and calculus textbook series.
Frank Demana is a professor emeritus of mathematics at Ohio State University. He also serves as an academic coordinator for Texas Instruments, working with funding agencies, schools, and universities. He has published numerous articles in nationally recognized professional journals. He is a frequent speaker at state, national, and international meetings, as well as a consultant to mathematics departments throughout the United States and other countries. Demana is an active member of NCTM, the Mathematical Association of American (MAA), and the American Mathematical Association of Two-Year Colleges (AMATYC).
Bert Waits is a professor emeritus of mathematics and a visiting professor of mathematics, science, and technology education at Ohio State University. He is the cofounder and director of the Ohio Early College Mathematics Placement Testing (EMPT) Program, of the Ohio Board of Regents. Waits has served as president of the Central Ohio Council of Teachers of Mathematics. He has authored over 70 publications in internationally recognized professional journals. He has presented many keynote lectures, workshops, and minicourses at national meetings of the MAA and NCTM. From 1986 to 1988 he served as a member of the working group that wrote NCTM's Curriculum and Evalutation Standards for School Mathematics. He has also served a three-year term on NCTM's Board of Directors and has been a member of the College Board's AP Calculus Development Committee.
The National Council of Teachers of Mathematics is the public voice of mathematics education, supporting teachers to ensure equitable mathematics learning of the highest quality for all students through vision, leadership, professional development, and research. |
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Overview
A Modern Introduction to Differential Equations presents a solid yet highly accessible introduction to differential equations, developing the concepts from a dynamical systems perspective and employing technology to treat topics graphically, numerically and analytically. This text is designed to be appropriate for a wide variety of students and exists as a natural successor to any modern calculus sequence.
- student friendly readability- assessible to the average student
- early introduction of qualitative and numerical methods
- large number of exercises taken from biology, chemistry, economics, physics and engineering
- Exercises are labeled depending on difficulty/sophistication
- Full ancillary package including; Instructors guide, student solutions manual and course management system
- end of chapter summaries
- group projects
Related Subjects
Meet the Author
Henry Ricardo is professor of mathematics at the Medgar Evers College, City University of New York-Brooklyn. Professor Ricardo is currently mentoring students doing research in Ordinary Differential Equations under a grant from the Alliance For Minority Participation (AMP); participated in an ATLAST workshop (July, 1997); served as a Faculty Consultant to the College Board's 1997, 1998, and 1999 Advanced Placement Calculus Readings; served as a member or chair of various review panels for interdisciplinary proposals submitted to the NSF Undergraduate Faculty Enhancement Program (Washington, D.C.: 6/15-6/17/94 (chair) and 6/16-6/18/93 |
to the Saxon math program. This test includes selected content from Math 54, Math 65, Math 76, Math 87, and Algebra 1/2. Please note that this placement test is not infallible. It is simply one indicator ... tests. We can also be contacted at 2450 John Saxon Blvd., Norman, ...
Saxon Homeschool Placement Guide Saxon books are skill level books, not grade level books. It is essential that each student is placed in the text that meets the skill level of the individual student. ... Algebra A Math 76 Math 65 Math 54
Saxon program should start in Saxon's Math 54, Math 65, Math 76, Math 87, Algebra 1/2, or Algebra 1 textbook. Please note that this placement test is not a fool-proof placement ... ment tests. We can also be contacted at 1320 W. Lindsey, Norman, OK 73069; or by e-mail at [email protected]
Saxon Algebra 1/ 2 Lesson Plan Jesus, Mary, and Joseph, ... caution as the problem type may appear on any tests during the year. In the beginning, do not worry about "getting ... you may decide to move the student back to Math 87 or Math 76. In either case, ...
placement for students who are new to the Saxon Math program. This test includes selected content from Math 54, Math 65, Math 76, Math 87 and Algebra . Please note that this placement test is not infallible. ... The math placement tests are only one tool used to place a student who is
Saxon Math 3, Saxon Publishers: Norman, OK ... Students can be evaluated through tests, daily practice sets ... First Semester: Lesson 1 - 75 Second Semester: Lesson 76 - 140 Course Objectives: At the end of this course students should be able to: 1. Memorize all addition, subtraction ...
The Saxon Mathematics 7/6 Tests and Worksheet booklet is represented by the abbreviation WORK. Each weekly assignment is summarized in the first rows of the week's daily course plan along with the goals and notes for that week.
Extension Tests from this publication in classroom quantities for instructional use and not for resale. Requests ... 76Saxon Math Intermediate 5 Extension Activity 2 • Finding Area of a Rectangle with Fractional Side Lengths (CC.5.NF.4b)
the Saxon mathematics program are best placed ... Math 65 , Math 76, Math 87, and Algebra 1/2. Please note that this placement test is not infallible. It is simply one indicator the Saxon program ... tests. We can also be contacted at
MATH – Sarah has been using the Saxon76 Math Textbook and Test Book. She has completed 30 out of 140 lessons, which is about ¼ of the book and has taken 5 tests. Her average for the quarter is 93%. That's it. Repeat for each subject.
MS Saxon Math 65 This is the follow up course for students who have completed Math 54. MS Saxon Math 76 Once a student has completed Math 65, ... All tests and quizzes are closed book and will include both take home and in-class tests.
Dan has a list of the scores of all his math tests and quizzes during the year. What are the mean, median, and mode of the data set? ... D. mean = 76.8, mode = 75, median = 78.5 The median is the best description of the scores. 28. |
Algebra for College Students - 5th edition
ISBN13:978-0077224844 ISBN10: 0077224841 This edition has also been released as: ISBN13: 978-0073533520 ISBN10: 0073533521
Summary: Algebra for College Students, 5/e is part of the latest offerings in the successful Dugopolski series in mathematics. The authors goal is to explain mathematical concepts to students in a language they can understand. Dugopolski includes a double cross-referencing system between the examples and exercise sets, so no matter which one the students start with, they will see the connection to the other.
Mark Dugopolski was born and raised in Menominee, Michigan. He received a degree in mathematics education from Michigan State University and then taught high school mathematics in the Chicago area. While teaching high school, he received a master's degree in mathematics from Northern Illinois University. He then entered a doctoral program in mathematics at the University of Illinois in Champaign, where he earned his doctorate in topology in 1977. He was then appointed to the faculty at Southeastern Louisiana University, where he now holds the position of professor of mathematics. He has taught high school and college mathematics for over 30 years. He is a member of the MAA, the AMS, and the AMATYC. He has written many articles and mathematics textbooks. He has a wife and two daughters. When he is not working, he enjoys hiking, bicycling, jogging, tennis, fishing, and motorcycling0077224841 Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc... All day low prices, buy from us sell to us we do it all!! |
erence Equations: An Introduction with Applications
Difference Equations, An Introduction with Applications, Second Edition, uses elementary analysis and linear algebra to investigate solutions of ...Show synopsisDifference Equations, An Introduction with Applications, Second Edition, uses elementary analysis and linear algebra to investigate solutions of difference equations. Some of the techniques discussed are summation methods, generating functions, z-transforms, theory of linear equations, matrix methods, stability, chaos, asymptotic methods, Green's functions, finite Fourier analysis, variational methods, fixed point theorems, and connections with differential equations. Applications of difference equations to combinatorics, geometry, epidemiology, special functions, economics, population biology, numerical analysis, circuit analysis, differential equations, along with other areas of study. Many examples of the theory are given, and there are a large number of exercises, with difficulty ranging from elementary calculation to investigation of new ideas or 012403330X Brand New International Edition. Cover and ISBN...New. 012403330X Brand New International Edition. Cover and ISBN of the books might be different in some cases. Fast Shipping, Super Quality & Awesome Customer Support is Guaranteed Difference Equations, Second Edition: An Introduction with...Good. Difference Equations, Second Edition: An Introduction with |
The Sound of Music meets Linear Programming
"Let's start at the very beginning – a very good place to start. When you read you begin with A, B,C!" When you do statistics you begin with…probability? the mean? graphs?
Begin at the end
But really, is the beginning a very good place to start? Sometimes, we need to begin at the end. And sometimes we need to go back before the beginning. Always we need to think about where to begin, because it is seldom obvious, and copying what other teachers and textbooks have done is often a bad idea.
Linear programming
Take Linear Programming, the flagship technique of Operations Research. Most text books start with a simple two variable example, one that can be drawn on a Cartesian plane. They begin by defining the decision variables and the objective function. Next they formulate the constraints and explain the non-negativity conditions. Then finally they get around to solving the problem – often through a graphical approach, and applying it to the trivial real-life imaginary example they started with.
Here is a better approach, with Linear programming as the example:
First ensure all the class members have the prerequisite mathematical skills for what you propose to teach. If they are not good at drawing equations on a plane, you will need to teach them again, or use a different approach such as using Excel Solver. If students are not sure which way around > and < signs go, you will need to go over it. If English is their second language you will need to make sure you explain words like constraint, objective and optimum. This won't hurt the native English speakers either.
Second think about your destination. When children learn to read, they generally know what the outcome is going to be. They will be able to look at words on a page and make sense of them. When you learn to drive, you know the outcome – you will be able to get safely from one place to another behind the wheel of a car. When we learn to bake cakes, we like to have pictures of the finished product so that we can see where we are headed. Yet somehow we try to teach as if it is a voyage of discovery with no vision of the end. Now discovery is good, if it pertains to how we get to or understand a process, but students need to know what they are learning. It also helps to have a purpose. Reading, driving and baking are all purposeful, with a clear outcome. The same should be true of linear programming (or confidence intervals or decision trees or fitted lines or just about anything else we are learning.)
You give the students an illustration of the completed LP model of the problem, preferably complex enough to be realistic. You show them how it can be useful, and give them a chance to explore the model. This is SO much easier now that we have Excel and Solver to look after the solving. Let students find out all about one model and then another and another, before you begin to show how to formulate. When people know what they are trying to produce, the reasoning behind the steps is more obvious.
Linear Regression
The same approach can be applied to teaching Linear Regression analysis. First we need to make sure that students understand what a fitted line on a graph is. Get them to interpret several fitted graphs, and use them to make predictions and write statements about the nature of the relationships modelled. Then show how to make the fitted graphs once they know why they need to.
In last week's post I talked about histograms. Students should learn to interpret histograms and other graphs before they are required to make their own. Having to read off pie charts should help immunise them against their use.
I was in a computer lab with some students from another first year statistics course, and noticed that the first thing they were taught was how to calculate the mean and standard deviation, including the finite population correction. Was this really the most interesting way to get them introduced to the joys of data analysis and interpretation? Why start with the mean, one of the most difficult concepts in statistics?
Work backwards from the end
There is an interesting technique used for teaching skills to children with special needs. When you teach a blind child to tie shoelaces, you start at the end. You do all but the last part, and let them finish it off. This gives a sense of success and purpose. Then gradually you add the steps backwards, so that they start earlier on in the process. This also means that the part of the skill that is getting the most repetition is the new part, not the part already mastered. The same is true of memorisation. Memorise the last line first, then the last two lines etc. I suspect the same approach may well apply to more abstract skills. Maybe we should teach how to read and critique a statistical analysis, then how to write one, then finally how to do the analysis.
The spiral approach is popular, in which topics are revisited each year and built on. I would like to incorporate principles of mastery learning along with that. Mastery learning is based on the premise that you must master a skill before moving on to the next one. This is difficult to implement in a classroom, with mixed level of ability, but is more easily enacted with the help of a Learning Management System.
New math had odd beginnings
I was born in the early 1960s and was in the first cohort of children to learn "new math(s)", devised in the US as a reaction to the humiliation of seeing the Russians put Sputnik into space before them. Even in New Zealand we were not immune to the influence of the Cold War on education! I loved our bright new textbooks, which started with Set Theory – even at age 6. Every year the first page of the text book had diagrams of herds of sheep, prides of lions and other sundry collections. I loved the Venn diagrams and the intersections – even cardinal numbers, but to this day I'm not sure how that connected with mathematics, and learning to add and subtract. And to this day I ask, "What were they thinking?" It appears that set theory is the foundation of all mathematics, and thus these mathematicians decided to start there, baffling teachers and parents alike, who were alienated by these words and symbols.
I have no doubt that the intention was to improve learning, but it seems ill-advised now. I wonder how our attempts will be viewed with the benefits of 40 years of hindsight. These days constructivism is a popular, though not universal, theory and approach to learning. The idea is that we create knowledge through adding new ideas and experiences onto our current knowledge. Sometimes that involves undoing erroneous or primitive knowledge.
Sometimes a good approach is historical – to imitate in the learner (in an accelerated form) the learning process through which mankind has progressed, preferably missing out the stupid bits. (Roman numerals are fun for some children, but pretty pointless once you realise the power of zero). It is certainly worth contemplating as an alternative approach.
This post has touched on ideas regarding the sequencing of a learning/teaching approach. There are many considerations and serious thought needs to go into where we start. Sometimes we need to start at the end. |
This Flash slideshow introduces social network analysis as it is applied to socio-technical spaces / electronic social...
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This Flash slideshow introduces social network analysis as it is applied to socio-technical spaces / electronic social networks. This culls some of the main approaches to analyzing social networks. Then, it introduces the use of the freeware tool NodeXL, which is an add-in to later versions of Microsoft Excel. This tool enables the extraction of social network data from various sites' APIs (Twitter, Facebook, Flickr,YouTube, and others), the computation of graph metrics, and then a half-dozen node-link visualizations from the data. This tool was created under the auspices of the Social Media Research Foundation (SMRF) and distributed on Microsoft's CodePlex.
A StAIR or Stand-Alone Instructional Resource is a resource designed to help teach certain objectives without an instructor...
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A StAIR or Stand-Alone Instructional Resource is a resource designed to help teach certain objectives without an instructor being present. This means that students can learn by accessing a StAIR at home or some other place where a teacher is not present. This StAIR focuses on teaching students the basic details about equivalent fractions. If your school uses the Common Core State Standards, this StAIR focuses on the following objective:4.NF.1 – Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visualfraction models, with attention to how the number and size of the parts differ even thoughthe two fractions themselves are the same size. Use this principle to recognize and generateequivalent fractions.
Visually searchable database of algebra 1 videos. Click on a problem to see the solution worked out on YouTube. The...
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Visually searchable database of algebra 1 videos. Click on a problem to see the solution worked out on YouTube. The solutions are meant to accompany the free and open textbook Elementary Algebra that can be found on the flat world knowledge website.
Visually searchable collection of algebra 2 videos. Click on a problem to see the solution worked out on YouTube. These...
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Visually searchable collection of algebra 2 videos. Click on a problem to see the solution worked out on YouTube. These videos are meant to accompany the free and open textbook Intermediate Algebra that can be found on the flat world knowledge website.
This site provides links to 109 podcasts.'The Math Dude makes understanding math easier and more fun than your teachers ever...
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This site provides links to 109 podcasts.'The Math Dude makes understanding math easier and more fun than your teachers ever led you to believe was possible. Host Jason Marshall provides clear explanations of math terms and principles, and his simple tricks for solving basic algebra problems will have even the most mathphobic people looking forward to working out whatever math problem comes their way. If you're getting ready to take the SAT, GRE, or any of the other standardized tests; or if you're going back to school and need to brush up on the basics, the Math Dude's Quick and Dirty Tips to Make Math Easier will strengthen your fundamental skills, help you better understand the language of math, and succeed when it comes to taking a test. And if you just want to calculate the tip without using your iPhone and impress all your friends, his tips and tricks are for you too.'According to one user, 'I find this series very useful for students who need a different way to think about Math. The visual that is described and repetition of examples during the podcast are extremely helpful and go beyond memorization.' |
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.
Just a quick question. I teach some undergraduate mathematics. I like to produce notes that contain exercises.
Sometimes I make my own exercises, sometimes I take exercises from various sources and ...
I was teaching a nine-year-old friend about prime numbers. When I asked him if he thought there were finitely or infinitely many primes, he answered confidently that there must be an infinite number. ...
I thought I'd bring this question to math.SE, as it could spark some interesting discussion.
When I first learned vectors - a long time ago and in high school - the textbook and teachers would always ...
I am preparing some sheets of exercises that I'll assign to my undergraduate students in biology (sophomore class, or first academic year in italian universities). This is the problem:
Exercise. Let ...
I'm a fifth year grad student, and I've taught several classes for freshmen and sophomores. This summer, as an "advanced" (whatever that means) grad student I got to teach an upper level class: Intro ...
I would like to consult with anyone who is reading this post on how do you explain the distinction between compact spaces and locally compact spaces to students who had just completed topology course ...
I am trying to decide whether to include whether to include the Mean Value Theorem in a calculus course I will be teaching. I am sort of leaning away from it, in light of the interesting discussion ...
I once heard someone (perhaps from someone famous -- anyone have a citation?) say that there ought to be a series of books called "__ for Mathematicians," each one of which would explain a different ...
While writing a chapter of a book about mathematical analysis, I decided to compare some definitions of integrability that are usually taught to sophomore students, in Italy. I briefly collect four ...
This morning, in Italy, there was the national exam of mathematics for students of high schools. One of the exercises asked to solve Heron's problem: given a straight line and two points lying on the ...
How much emphasizes should be on proof on a first course in Linear Algebra?
I sometimes feel that they (proofs) crowd out a coherent vision for linear algebra.
However I also think a central theme of ...
As a math educator, do you think it is appropriate to insist that students say "negative $0.8$" and
not "minus $0.8$" to denote $-0.8$?
The so called "textbook answer" regarding this question reads:
...
Is there any journal which has significant material on the teaching of linear algebra. I am investigating the most effective way to teach a course on Linear Algebra.
What are the most important things ...
Mat-1.1020 L2 course is a course usually taken by theoretical-physicist-dept students in Aalto University, here official site. It is a mass course that a massive amount of students fail every year. It ...
The set of all divisors of a square-free number, partially ordered by divisibility, is trivially isomorphic to the set of all subsets of the set of prime factors, partially ordered by inclusion.
Are ...
I always find myself wanting for a clear explanation (to a college algebra student) for the fact that horizontal transformations of graphs work in the opposite way that one might expect.
For example, ...
Assuming we don't have a calculator that can do summation notation. My class is not up to summation yet, but I'm asking a question involving this concept because I'm not all that experienced using it. ...
I am currently in AP Calculus BC and one more year to go, I have heard about Fundamental Theorem of Algebra several times, and with the resources that is out there today I tried to search and study ...
I have been asked to teach mathematics/physics to a few 8th grade/9th grade kids for a summer camp. I have been thinking about it and I realized that I could go about it in two ways: One of the ways ...
Apologies if I have posted this in the wrong place first off.
My work has taken me into a unexpectantly large amount of statistics. In order to really understand what I am doing I need to understand ...
Recently I found myself having to teach students how to find the slope of a tangent line to a curve in $\mathbb R^2$ given in polar coordinates by the equation $r = f(\theta)$. The students' calculus ... |
Mathematics Department
The Mandlebrot Set
"The essence of mathematics is not to make simple things complicated, but to make complicated things simple." S. Gudder
The Victor Valley College Mathematics Department offers a variety of courses to meet the needs of our diverse student population. It is a vital and growing program, providing reasoning skills to help students function in a wide range of sciences: social, biological, physical, behavioral, and management. Mathematics is necessary for understanding and expressing ideas in science, engineering, and human affairs. Mathematics is integrally related to computer science and statistics, which have proven invaluable to advancing research and modern industrial technology. The Mathematics curriculum academically prepares the student to transfer to a 4-year university to complete a Baccalaureate degree; it is also an integral part of many certificates and degrees offered at VVC. In addition, we offer a Math AS-T degree for students who wish to major in mathematics.
The Mathematics Department is also a key component that integrates relevant knowledge and addresses questions across a wide range of basic mathematics, applied mathematics, statistics, and other disciplines. Our students gain knowledge and skills to construct, analyze, and interpret mathematical models for a variety of real-life problems, drawing on a wide range of mathematical tools and concepts.
In September, 2012, the Math Department opened the Math Success Center. It is located in the Adademic Commons (building 42). Open Mon-Fri from 9 am - 5 pm, it is a place to study and do your homework, as well as a place to get math tutoring. Click HERE for more information. |
Web Resources
Lesson Plans
Title: Graphs From the Unit Circle
Description:Standard(s): [MA2013] PRE (9-12) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Graphs From the Unit Circle
Assessments
Title: Prerequsites for Calculus Quiz
Description:
Students will take this self-assessment to make sure they are prepared to take Calculus.
Standard(s): [MA2013] PRE (9-12) 13: (+) Know and apply the Binomial Theorem for the expansion of (x + y)n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined, for example, by Pascal's Triangle. (The Binomial Theorem can be proved by mathematical induction or by a combinatorial argument.) [A-APR5] [MA2013] PRE (9-12) 33: Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1, and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle. [F-TF8] (Alabama) [MA2013] PRE (9-12) 3: (+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints. [N-CN6] [MA2013] PRE (9-12) 14: (+) Represent a system of linear equations as a single matrix equation in a vector variable. [A-REI8] [MA2013] PRE (9-12) 20: Determine the inverse of a function and a relation. (Alabama) [MA2013] PRE (9-12) 22: (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c] [MA2013] PRE (9-12) 24: (+) Understand the inverse relationship between exponents and logarithms, and use this relationship to solve problems involving logarithms and exponents. [F-BF5] [MA2013] PRE (9-12) 25: Compare effects of parameter changes on graphs of transcendental functions. (Alabama) [MA2013] PRE (9-12) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama) [MA2013] PRE (9-12) 27: Use the sum, difference, and half-angle identities to find the exact value of a trigonometric function. (Alabama) [MA2013] PRE (9-12) 34: (+) Prove the addition and subtraction formulas for sine, cosine, and tangent, and use them to solve problems. [F-TF9] [MA2013] PRE (9-12) 12: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems.* (Extend to infinite geometric series.) [A-SSE4] (Alabama)
Interactives/Games
Title: Sine Function (with Unit Circle)
Description:
Standard(s): [MA2013] PRE (9-12) 26: Determine the amplitude, period, phase shift, domain, and range of trigonometric functions and their inverses. (Alabama)
Sine Function (with Unit Circle) |
The authors define general vector spaces and linear mappings at the outset and base all subsequent developments on these ...
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The authors define general vector spaces and linear mappings at the outset and base all subsequent developments on these concepts. This approach provides a ready-made context, motivation, and geometric interpretation for each new computational technique. Proofs and abstract problem-solving are introduced from the start, offering students an immediate opportunity to practice applying what they've learned. Each chapter contains an introduction, summary, and supplementary exercises. The text concludes with a pair of helpful appendixes and solutions to |
...The Trigonometry course is designed for the students who will continue to Precalculus or for the college-bound student. Trigonometric topics include graphing, analyzing, and applying the six trigonometric functions. Scientific calculators and/or graphing calculators are integrated throughout the course. |
Abstract. There are a number of software packages available which solve a wide variety of problems. Unfortunately, the average computer user is not making full use of these packages because they are typically quite large and complex. By building...
The purpose of this handbook is to help students of applied analysis to organize the necessary resources for the successful completion of independent study projects. The nature of these projects is somewhat novel for mathematics classes- the...
This book is meant as a user's introduction to the MATHLIB interactive analysis package. Our purpose here is to present the fundamental concepts and facilities that are used throughout the software package. Familiarity with the fundamentals will...
The purpose of this work is to give the college upper class (or graduate) student a glimpse into some important areas of applicable mathematics along with some experience in traditional and contemporary applications. The approach is firmly groundedOne of MATHLIB's major design criteria was that it should be "user friendly" but not "expert hostile".
In general, while a novice user can start right off in a menu-driven system, it takes only a brief build-up of experience before the menus, and... |
Students explore a linear, a parabolic, and a log function. In this Algebra II/Pre-calculus instructional activity students investigate the graph a line, a parabola, and a log function. Students examine the three graphs as they compare and contrast the three in a problem solving context.
Investigate logistic functions in a world population setting. High schoolers will create a scatter plot of the world population from 1950 to 2050 to find a logistic function to model the data. They then discuss the end behavior of their logistic model. Graphing calculators are needed.
Students explore the various uses of the logistic function. Students use the internet to collect world population data and find a logistic model for their data and use their chosen model to predict future populations.
In this calculus instructional activity, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
Students use optimization concepts to design their own container. In this optimization lesson plan, students understand how the optimization concept is critical in calculus and why products are packaged the way they are.
Young scholars investigate inverse functions. In this calculus instructional activity, students use the horizontal line test to determine if a functions inverse is a function. They define functions given a graph or an equation.
Throught this subscription-based sight, learners explore different aspects of the parabola by changing equations from standard to vertex form. Next, find the general form of the vextex based on the values of a, b, and c, and investigate the minimum and maximum points of a real-world example. Students can gain further insight by looking closer at the process of completing the square.
Students investigate Newton's Law of Cooling. In this Algebra II/ Pre-Calculus lesson, students explore exponential regression as they conduct an experiment to simulate the temperature variations that occur as a liquid cools. The lesson provides an extension for Calculus.
Students define function notations and composition of functions. In this calculus lesson, students sketch different polynomial functions. They relate parametric equations to linear and exponential functions.
In this real-data worksheet, students use data from the 2008 Census Bureau to answer eight questions divided into four activities. The topics covered include: place value, rounding, estimation, fractions, and percents.
Young scholars read an article on how calculus is used in the real world. In this calculus lesson, students draw a correlation between the Battle of Trafalgar and calculus. The purpose of this article is the show everyday uses for calculus in the real world.
Students graph the motion of a mass moving back and forth on a spring, in parametric mode. They graph the position, velocity, and acceleration of the object in contrast to time graphs. Students compare speed and analyze it in terms of the magnitude of velocity on various time intervals.
Students explore the concept of area under a curve. For this area under a curve lesson, students find integrals of various functions. Students use their Ti-Nspire to graph functions and find the area under the curve using the fundamental theorem of calculus.
Students collect data for a bouncing ball and select one bounce to analyze. They explore the relationship between velocity, position and acceleration. They seek out connections between the graphs and the physical motion of the ball.
Students identify and define the logistic model for the world population data. For this data analysis lesson, students use the model illustrated to determine the population in a given year and compare it to the population shown in the table. Students also find the limiting behavior and explain what that means.
In this calculus activity, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This five-page activity contains 14 problems. |
Middle School Success Deluxe will help you boost your student's middle school success with this best-selling educational software suite. Ideal for all learning levels, the educator-endorsed and award-winning lessons will improve comprehension in multiple subjects - including Algebra, Geometry, Physical Science, World History, American Government, Writing, Foreign Languages, and more. With more than 400 activities and 3,000 exercises, Middle School Success Deluxe also includes free access to Tutor.com and the Encyclopaedia Britannica Concise Encyclopedia CD-ROM. Watch your student gain confidence and climb the educational ladder with ease |
Created by Dr. Michael P. McLaughlin, this general, introductory tutorial on mathematical modeling (in pdf format) is intended to provide an introduction to the correct analysis of data. It addresses, in an elementary...
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 site contains a standalone applet designed to help students investigate the influence of changes in data values on the mean and median. As students change the data values, the interactive figure immediately...
This is an interactive tutorial on data analysis topics including representations of data, understand the definition of mean, understand the definition of variance, recognize a few other useful concepts, recognize...
A short article designed to provide an introduction to functional equations, those in which a function is sought which is to satisfy certain relations among its values at all points. For example, we may look for... |
Mathematical Thought from Ancient to Modern Times, Vol. 1
Book Description: This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study |
Linear Algebra
9780135367971
ISBN:
0135367972
Edition: 2 Pub Date: 1971 Publisher: Prentice Hall
Summary: This introduction to linear algebra features intuitive introductions and examples to motivate important ideas and to illustrate the use of results of theorems. Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra. ...> Hoffman, Kenneth is the author of Linear Algebra, published 1971 under ISBN 9780135367971 and 0135367972. Five hundred sixty eight Linear Algebra textbooks are available for sale on ValoreBooks.com, nine used from the cheapest price of $76.42, or buy new starting at $177.94 [more |
Learn geometry at your own pace What This thorough... more...
You, too, can understand geometry---- just ask Dr. Math ? ! Are things starting to get tougher in geometry class? Don't panic. Dr. Math--the popular online math resource--is here to help you figure out even the trickiest of your geometry problems. Students just like you have been turning to Dr. Math for years asking questions about math problems,...Meyer's Geometry and Its Applications, Second Edition , combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text... more... a unique, easy-to-absorb manner and is designed for users without formal training, unlimited time,...Deformable objects are ubiquitous in the world, on various levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. This book provides an overview of the state of science in analysis and synthesis of non-rigid shapes. more...
Like other areas of mathematics, geometry is a continually growing and evolving field. Computers, technology, and the sciences drive many new discoveries in mathematics. For geometry, the areas of quantum computers, computer graphics, nanotechnology, crystallography, and theoretical physics have been particularly relevant in the past few years. There... more... |
Algebra and Trigonometry - With 2 CDs - 4th edition
Summary: Bob Blitzers unique background in mathematics and behavioral sciences, along with his commitment to teaching, inspired him to develop a precalculus series that gets students engaged and keeps them engaged. Presenting the full scope of the mathematics is just the first step. Blitzer draws students in with vivid applications that use math to solve real-life problems. These applications help answer the question When will I ever use this? Students stay engaged because the book helps them...show more remain focused as they study. The three-step learning systemSee It, Hear It, Try Itmakes examples easy to follow, while frequent annotations offer the support and guidance of an instructors voice. Every page is interesting and relevant, ensuring that students will actually use their textbook to achieve success! ...show less
Hardcover Fine 0321559851 Like New copy, without any marks or highlights. Might have minor shelf wear on covers. This is Student US Edition. Sealed CD included. Same day shipping with free tracking...show more number. A+ Customer Service! ...show less
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windyacresfarm Boise, ID
Hardcover Fine 0321559851 Not much wrong with this one. Owner name on page tips |
Linear
Linear is a cross-platform program which is perfectly suited for dynamically and visually illustrating many of the important themes in linear algebra relating to linear transformations, eigenvalues and eigenvectors.
Linear has many advantages over the functionality provided by Wolfram Alpha. Here are a few of them:
- Store matrices and work for later use
- Visualization of matrices as linear transformations in 2 and 3 dimensions
- Visualization of the span of the columns of a matrix.
- Dynamic manipulation and visualization of variables in the above contexts. |
Red prices are already discounted. If you are due a discount ACE will bill you at the red price, or your discount off the original price, whichever is lowest.
Skill Builders Algebra Workbook [CD104399]
$4.99$4.49
Skill Builders Algebra Workbook Skill Builders are great tools for keeping children current during the school year or preparing them for the next grade level. A variety of fun and challenging activities provides students with practice and helps introduce basic skills to new learners. This full-color workbook contains appropriate passages and exercises based on national standards for sixth through eighth grade to help ensure that children master algebra math skills before progressing. Skill Builders combines entertaining and interactive activities with eye-catching graphics to make learning and reviewing fun and effective. The compact 6" x 9" size makes this book perfect for school, at home, or on the go. 80 perforated, reproducible pages with an answer key. |
Algebra II – Unit 5
Numbers and Functions
OVERVIEW
Why is this important to learn?
Numbers and Functions is expected to take approximately 4 weeks to complete during the first semester of the
Algebra II course. This unit will be geared to secondary students desiring a credit in Algebra II. In order to be
successful in this class, students should have successfully completed Algebra I.
It is absolutely necessary to have the ability to relate one quantity to another in all academic areas and the
function notation allows this to be accomplished. The ability to use function notation, manipulate, transform and
perform mathematical operations on functions is a key element in the study of higher mathematics. In addition,
this skill allows the student to relate two real world quantities in other academic areas like business and science.
BIG IDEAS:
The big ideas of this overview include:
Determining the best method for solving problems requires critical thinking.
Sometimes problems have more than one solution.
Modeling real world situations requires a multitude of different types of functions.
Different functions share common characteristics.
Inverse operations are a key element in solving all types of functions.
You can add, subtract, multiply or divide functions based on how you perform these operations for real
numbers.
You can represent functions in a variety of ways such as graphs, tables, or words. Each representation is
particularly useful in certain situations.
You can model a quantity that changes regularly over time by a certain percent.
ESSENTIAL QUESTIONS:
Questions that will help students process content include . . .
What problems can we solve using piecewise defined functions?
What do the key features of a graph mean in the context of a problem?
What kind of practical problems can be solved using function?
How does a function express a mathematical relationship between two related quantities?
How can you model a quantity that changes by a percent over time?
CONTENT AND SUBSTANCE
What is the learning?
DISTRICT STANDARDS:
Understand solving equations as a process of reasoning and explain the reasoning (A-REI.1)
Interpret functions that arise in applications in terms of the context (F-IF.2)
Analyze functions using different representations (F-IF.3)
Build a function that models a relationship between two quantities (F-BF.1)
Build new functions from existing functions (F-BF.2)
1
LEARNING TARGET(S)
To understand, students will need to know, understand and do . . .
Vocabulary:
Intercepts, intervals (increasing and decreasing), relative max/min, end behavior, piecewise function,
explicit expression, recursive process, exponential growth and decay, invertible function.
Declarative Knowledge:Procedural Knowledge:
Solve simple rational and radical equations in one variable, and give examples showing how extraneous
solutions may arise. (A-REI.1A) Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and
using technology for more complicated cases.★ Graph square root, cube root, and piecewise-defined
functions, including step functions and absolute value functions. (F-IF.3Aii)
Write a function that describes a relationship between two quantities. ★ Determine an explicit expression,
a recursive process, or steps for calculation from a context. (F-BF. 1Ai)
Write a function that describes a relationship between two quantities. ★ Combine standard function types
using arithmetic operations (F-BF. 1Aii)
Write a function that describes a relationship between two quantities.★ Compose functions. (F-BF. 1Aiii)
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression
for the inverse. Find inverse functions (F-BF.2Bi)
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression
for the inverse. (+) Verify by composition that one function is the inverse of another. (F-BF.2Bii)
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression
for the inverse. (+) Read values of an inverse function from a graph or a table, given that the function has
an inverse. (F-BF.2Biii)
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression
for the inverse. (+) Produce an invertible function from a non-invertible function by restricting the
domain. (F-BF.2Biv)
2
ASSESSMENT EVIDENCE/CRITERIA
How will students demonstrate their understanding and how will you know?
The assessment is aligned to the common core learning targets and standards. Evidenced by the common
assessment keys.
A unit pre-assessment may be delivered informally. In addition, unit exams will give evidence of the level
of student knowledge and ability to be successful on a common task.
Teachers will administer independent summative assessments by unit and use the common district task
for multiple units.
Depth of knowledge of unit assessments will be determined by individual teachers; however, they will
reflect the requirements of the common assessment as evidenced by the keys.
A formal 4 tier mathematics scoring rubric will be used on common assessments throughout the district.
Unit assessments will be scored by individual teachers.
INSTRUCTIONAL PLANNING AND RESOURCES
What learning experiences will help all students meet the identified learning targets?
Components may include: Resources – texts, lab materials, math tools, technology, etc.
Practice lessons
White board practice
Pre-assessments
Vocabulary work
Word wall
Student groupings
Activities
Independent work time
Differentiated instruction |
Proofs and Fundamentals : A First Course in Abstract Mathematics - 00 edition
Summary: Proofs and Fundamentals: A First Course in Abstract Mathematics is designed as a 'transition' course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra, and real analysis.
This 3-pa...show morert work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material including sets, functions, and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics, and the Peano Postulates. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and writing are never compromised. The material is presented in the way that mathematicians actually use it; good mathematical taste is preferred to overly clever pedagogy. There is a key section devoted to the proper writing of proofs. The text has over 400 exercises, ranging from straightforward examples to very challenging proofs.
The excellent exposition, organization and choice of topics will make this text valuable for classroom use as well as for the general reader who wants to gain a deeper understanding of how modern mathematics is currently practiced by mathematicians. ...show less
2. Strategies for Proofs 2.1 Mathematical Proofs-What They are and Why We Need Them 2.2 Direct Proofs 2.3 Proofs by Contrapositive and Contradiction 2.4 Cases, and If and Only If 2.5 Quantifiers in Theorems 2.6 Writing Mathematics
8. Number Systems 8.1 Back to the Beginning 8.2 The Natural Numbers 8.3 Further Properties of the Natural Numbers 8.4 The Integers 8.5 The Rational Numbers 8.6 The Real Numbers and the Complex Numbers 8.7 Appendix: Proof of Theorem 8.2.1113.90 |
This is a free, online textbook offered in conjunction with MIT's OpenCourseWare. "Over the last 100 years, the mathematical...
see more
This is a free, online textbook offered in conjunction with MIT's OpenCourseWare. "Over the last 100 years, the mathematical tools employed by physicists have expanded considerably, from differential calculus, vector algebra and geometry, to advanced linear algebra, tensors, Hilbert space, spinors, Group theory and many others. These sophisticated tools provide powerful machinery for describing the physical world, however, their physical interpretation is often not intuitive. These course notes represent Prof. Tisza's attempt at bringing conceptual clarity and unity to the application and interpretation of these advanced mathematical tools. In particular, there is an emphasis on the unifying role that Group theory plays in classical, relativistic, and quantum physics. Prof. Tisza revisits many elementary problems with an advanced treatment in order to help develop the geometrical intuition for the algebraic machinery that may carry over to more advanced problems.״
This is a free, online textbook that is a wikibook. "This book will help you learn how to do mathematics using Algebra. It...
see more
This is a free, online textbook that is a wikibook. "This book will help you learn how to do mathematics using Algebra. It has chapters (parts of the book) with lessons (parts of the chapter about one idea). A lesson has five parts: 1.Vocabulary - gives special words you need for the lesson. 2.Lesson - gives a new idea and how to use this idea. 3.Example Problems - gives the steps to do problems using the new idea. 4.Practice Games - gives places for amusement where you do problems. 5.Practice Problems - You do problems
This is a short introductory calculus textbook, focusing mainly on integration and differentiation of functions of a single...
see more
This is a short introductory calculus textbook, focusing mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. Infinitesimals are used when appropriate, and are treated more rigorously than in old books like Thompson's Calculus Made Easy, but in less detail than in Keisler's Elementary Calculus: An Approach Using Infinitesimals.NDownload PDF or LaTeX source. Printed copies available print on demand through Lulu.Creative Commons Attribution Share-Alike License
OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press,...
see more
OCW is pleased to make this textbook available online. Published in 1991 and still in print from Wellesley-Cambridge Press, the book is a useful resource for educators and self-learners alike. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications. There is also an online Instructor's Manual and a student Study Guide. textbook. As noted on the website, "Free access to the online book. Includes StudyBreak Ads (advertising placed in natural subject breaks)."Elementary Algebra is a textbook that covers the traditional topics studied in a modern elementary algebra course. It is...
see more
Elementary Algebra is a textbook that covers the traditional topics studied in a modern elementary algebra course. It is intended for students who (1) have no exposure to elementary algebra, (2) have previously had an unpleasant experience with elementary algebra, or (3) need to review algebraic concepts and techniques. |
Saxon Advanced Math Home Study Kit Second Edition
$77.90 Sale: $62.32 Advanced Mathematics, second edition is made up of five instructional components: Introduction of the New Increment, Examples with complete Solutions, Practice of the Increment, Daily Problem Set, and Cumulative Tests. In Advanced Mathematics, topics from algebra, geometry, trigonometry, discrete mathematics, and mathematical analysis are interwoven to form a fully integrated text. A rigorous treatment of Euclidean geometry is also presented. Word problems are developed throughout the problem sets and become progressively more elaborate. With this practice, students will be able to solve challenging problems such as rate problems and work problems involving abstract quantities. A graphing calculator is used to graph functions and perform data analysis. Conceptually-oriented problems that prepare students for college entrance exams (such as the ACT and SAT) are included in the problem sets. This set contains a student text, answer key and test forms. A solutions manual is sold separately. Grade 11 |
MODULE 5. LET'S GET READY FOR THIS FINAL!!! LETS THINK TOGETHER ... ELIMINATE ANY WRONG ANSWERS. PICK YOUR BEST ANSWER!!! ... Descartes's developments in analytical geometry were used by Newton in his development of calculus and research into optics. |
Fundamentals of Algorithmics - 96 edition
Summary: This is an introductory-level algorithm text. It includes worked-out examples and detailed proofs. Presents Algorithms by type rather than application.
Structures material by techniques employed, not by the application area, so students can progress from the underlying abstract concepts to the concrete application essentials.
Begins with a compact, but complete introduction to some necessary math, and also includes a long introduction to proofs...show more by contradiction and mathematical induction. This serves to fill the gaps that many undergraduates have in their mathematical knowledge.
Gives a paced, thorough introduction to the analysis of algorithms, and uses coherent notation and unusually detailed treatment of solving recurrences.
Includes a chapter on probabilistic algorithms, and an introduction to parallel algorithms, both of which are becoming increasingly important.
Approaches the analysis and design of algorithms by type rather than by application23.15$2743.95 +$3.99 s/h
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LotsofBooks Nashville, TN
No comments from the seller |
Precalculus
Features
Functions Early and Integrated: Functions are introduced right away in Chapter 1 to get students interested in a new topic. Equations and expressions are reviewed in the second chapter showing their connection to functions. This approach engages students from the start and gives them a taste of what they will learn in this course, instead of starting out with a review of concepts learned in previous courses.
Algebraic Visual Side-by-Sides: Examples are worked out both algebraically and visually to increase student understanding of the concepts. Additionally, seeing these solutions side-by-side helps students make the connection between algebraic manipulation and the graphical interpretation.
Zeros, Solutions, and x-Intercepts Theme: This theme allows students to reach a new level of mathematical comprehension through connecting the concepts of the real zeros of the function, the solutions of the associated equation, and the x-coordinates of the x-intercept of the graph of the function.
Technology Connection: In each chapter, optional Technology Connections guide students in the use of the graphing calculator as another way to check problems.
Review Icon: These notes reference an earlier, related section where a student can go to review a concept being used in the current section.
Study Tips: These occasional, brief reminders appear in the margin and promote effective study habits such as good note taking and exam preparation.
Connecting the Concepts: Comprehension is streamlined and retention is maximized when the student views a concept in a visual form, rather than a paragraph. Combining design and art, this feature highlights the importance of connecting concepts. Its visual aspect invites the student to stop and check that he or she has understood how the concepts within a section or several sections work together.
Visualizing the Graph: This feature asks students to match an equation with its graph. This focus on visualization and conceptual understanding appears in every chapter to help students see ''the big picture.''
Vocabulary Review: Appearing once per chapter in the Skill Maintenance portion of an exercise set, this feature checks and reviews students' understanding of the language of mathematics.
Classify the Function: With a focus on conceptual understanding, students are asked to identify a number of functions by their type (i. e., linear, quadratic, rational, and so forth). As students progress through the text, the variety of functions they know increases and these exercises become more challenging. These exercises appear with the review exercises in the Skill Maintenance portion of an exercise set2008 Hard Cover Third Edition Fair/No Jacket 0321460065 Third Edition, Second Printing. Spine is cocked, bumping/chipping/creasing, rubbing and soiling on covers. "Used" sticker and length of tape a...show morelong spine, rippling present throughout book. Fair condition. Moderate to heavy shelf wear or edge wear on covers and spine. Books in Fair condition most likely will have markings or highlights on pages or binding defects. (GG87) ...show less
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Books Revisited Chatham, NJ
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Books Revisited Chatham, NJ
Very good.
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BTM_Wholesale GA Buford, GA
New New book, 2008 Pearson/Addison Wesley books, hardcover, no marks inside, 938 pages, in great condition, great book.
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bluehouse acton, MA
Brand new.
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Follett School Solutions, Inc. Woodridge, IL
0321460065 No excessive markings and minimal highlighting. CD Roms, access cards/codes, and other supplemental materials may or may not be included based on availability.
$170 |
The following lessons were created as
supplements for use with McDougal Littell's "Algebra 1
Concepts and Skills" by Larson, Boswell, Kanold, and Stiff
shown below. This text is one of the few on California's state
list of approved textbooks for middle and high schools.
Keep in mind that these previews are
pictures of the actual PowerPoint slides and they show no
animation. Please download this free PowerPoint lesson as a
comparison: Lesson 1-8 .
(Click
here to download free PowerPoint viewer.)
also similar to...
Click on any highlighted lesson below to view
its contents. Students may use this site,
when they are absent. |
Find a NevadaPrealgebra instruction includes a review of the basics of mathematics and a thorough introduction to integers, basic equations and word problems. This course is designed to develop the skills and understanding to perform the fundamental operations on whole numbers, fractions and decimals. Topic |
Description of Math 2 Student Reviews by BJU Press
Provide your students with ample practice opportunities. This BJU Press Math 2 Review book provides corresponding practice pages for the concepts covered in the Math 2 Worktext, 3rd Edition. With two pages of review for each lesson, the first page includes the concepts in a similar format to the worktext pages. The second page is a review of concepts from earlier chapters and fact review. 328 non-reproducible pages, softcover. Grade 2, 3rd Edition.
BJU Press was formerly called Bob Jones; this resource is also known as Bob Jones Math 2 Student Reviews, 3rd Edition.
Assessments, Supplemental materials , the way it was set up to teach a whole class not just an indiviual student. made it hard to pick and choose what would be best to use for just one child.
Other books used
DVD/CD
Assessment types
Practice tests available
Resources also used
Content reusable
Yes
Content consumable
Yes
Other curriculum considered
Lifepac/Alpha Omega
Reviewed By
Tara B
Parent Rating
Comments
This math is great for children needing lots of bright colors, and only a few pages for each basic 'skill'.
If your child needs more repetition it will not be enough to use the workbook. You will need a supplement or study help.
They do suggest games and practices for each chapter to reiterate what they are learning.
This also introduces pre-algebra, & pre-geometry in small doses with about 3 problems every so often.
I like how they 'sneak this in' in order to feel more natural when the time comes for them to learn those.
Overall, we like the math program.
PS - Bob Jones has a lot of great books, and we use the math workbooks, but since we use more of a unit study/Charlotte Mason approach we don't use their entire curriculum.
I would not use this. It is written for a classroom and therefor takes more time to adapt, and is more expensive than it is worth. There are plenty of home school math programs with just as good an approach, without all the unneeded extras. |
3180 Math for Managers
Course Description
This course focuses on the basic mathematical principles used to analyze, interpret, and solve the financial challenges of everyday business situations. This course will prepare students for the computational business disciplines of accounting, finance, and economics. |
This course covers the maths behind how your computer stores and manipulates data. You'll learn how to read binary and hexadecimal, how both integers and floating point numbers are stored and the limitations of using them. Advice on best practices and how to work effectively with boolean values and bitwise operators [Read more...]
Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise – yet still elementary and self-contained – textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses. [Read more...] |
Date:
Conference topic:
Algebraic Graph Theory occupies the edge between two significant fields of mathematics: Algebra and Graph Theory. Its core tools stem from its mathematical predecessors, amalgamating techniques from Group Theory, Linear Algebra, Number Theory, Representation Theory, and Finite Geometry. These tools are used for the design and identification of diverse discrete structures and the investigation of their symmetry properties.
Historically, Algebraic Graph Theory has had significant intersection with a number of areas of pure and applied mathematics. This is why it is often possible to formulate within its frames, practical applications and fundamental scientific questions arising in varied real-world problems from communication engineering to physics, biology and chemistry. With the advent of the modern computer, Algebraic Graph Theory has assumed an increasingly vital and essential role in modern society, providing tools and framework for such areas as digital communication, error-correcting codes, internet and social network structure, data mining in large databases, genome sequencing, experimental design, and many others.
Important Information for International Participants: |
Quick Review Math Handbook Hot Words, Hot Topics book 3
9780078607554
ISBN:
0078607558
Pub Date: 2005 Publisher: Glencoe/McGraw-Hill
Summary: Quick Review Math Handbook: Hot Words, Hot Topics (available in English and Spanish) provides students and parents with a comprehensive reference of important mathematical terms and concepts to help them build their mathematics literacy. This handbook also includes short-instruction and practice of key standards for Middle School and High School success.
Glencoe McGraw-Hill Staff is the author of Quick Revie...w Math Handbook Hot Words, Hot Topics book 3, published 2005 under ISBN 9780078607554 and 0078607558. Three hundred seventy two Quick Review Math Handbook Hot Words, Hot Topics book 3 textbooks are available for sale on ValoreBooks.com, one hundred eighty used from the cheapest price of $0.01, or buy new starting at $2.52 |
MTHS 644
Foundations of Analysis
Reid,James D.
01/28/2008 - 05/10/2008
Tuesday 06:00 PM - 08:30 PM
Science Tower 109
A classical trichotomy splits mathematics into three parts -- Algebra, Analysis, and Geometry -- and this classical view still has a certain validity. Broadly speaking most people might view Algebra as the art of symbolic manipulations and Geometry as the study of spatial shapes and relationships. That leaves Analysis.
For purposes of discussion, we view Analysis as having to do with the study of infinitesimal processes as codified in the concept of a limit. The gateway to Analysis, the basic ideas, form the content of what is called Calculus. This course will study the foundations of Calculus, the motivation for its existence, and the structure of the resulting theory.
The basic idea is that of "limits." This appears notably in discussing continuity of functions, in the idea of the derivative, and in the definition of the integral. We will make a careful study of this fundamental concept and examine some of its most important applications. Participants in the course should come away with a solid understanding of the fundamental ideas of Calculus, and through many examples, a deep appreciation of its power.
Weekly problem sets will be assigned to help in the assimilation of ideas. Grades will be based on these assignments together with participation in class.
As prerequisites we cite familiarity with the idea of notation of functions and the representation of functional relationships by means of graphs, though these will be reviewed and every effort will be made to make the course accessible to those in attendance. Most important is the willingness to think hard and the patience to let things sink in. |
This text embodies at advanced and postgraduate level the professional and technical experience of two experienced mathematicians. It covers a wide range of applications relevant in many areas, including actuarial science, communications, engineering, finance, gambling, house purchase, lotteries, management, operational research, pursuit and search.... more...
Forget the jargon. Forget the anxiety. Just remember the math. In this age of cheap calculators and powerful spreadsheets, who needs to know math? The answer is: everyone. Math is all around us. We confront it shopping in the supermarket, paying our bills, checking the sports stats, and working at our jobs. It is also one of the most fascinating-and... more...
Rod structures are widely used in modern engineering. These are bars, beams, frames and trusses of structures, gridwork, network, framework and other constructions. Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics... more...
The propagation of curved, nonlinear wavefronts and shock fronts are very complex phenomena. Since the 1993 publication of his work Propagation of a Curved Shock and Nonlinear Ray Theory, author Phoolan Prasad and his research group have made significant advances in the underlying theory of these phenomena. This volume presents their results and provides... more... |
This site is a collection of role-playing exercises for teaching space science. It includes debates and collaborative problem-solving exercises, with data and equations provided to the students. Topics include the...
Elements of Abstract and Linear Algebra is a new book written by Dr. Edwin Connell, a professor emeritus in the math department at the University of Miami. Published in December 2001, it can be obtained free of charge...
Game theory is a branch of applied mathematics that studies "rational behavior in interactive or interdependent situations." Often used in economics and political science, game theory is a tool to deal with uncertainty...
The Society for Industrial and Applied Mathematics (SIAM) advances and promotes research that involves "the application of mathematics and computational science to engineering, industry, science and society." SIAM... |
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$230.90 8thElementary Algebra, 8/e by Baratto/Bergman is part of the latest offerings in the successful Streeter-Hutchison Series in Mathematics. The fourth edition continues the hallmark approach of encouraging the learning of mathematics by focusing its coverage on mastering math through practice. This worktext seeks to provide carefully detailed explanations and accessible pedagogy to introduce beginning and intermediate algebra concepts and put the content in context. The authors use a three-pronged approach (I. Communication, II. Pattern Recognition, and III. Problem Solving) to present the material and stimulate critical thinking skills. Items such as Math Anxiety boxes, Check Yourself exercises, and Activities represent this approach and the underlying philosophy of mastering math through practice. The exercise sets have been expanded, organized, and clearly labeled. Vocational and professional-technical exercises have been added throughout. Repeated exposure to this consistent structure should help advance the student's skills in relating to mathematics. The book is designed for a combined beginning and intermediate algebra course, or it can be used across two courses, and is appropriate for lecture, learning center, laboratory, or self-paced courses. It is accompanied by numerous useful supplements, including McGraw-Hill's online homework management system, MathZone. |
Find a Severance, CO ACTWhile it is a powerful tool, a strong understanding of the assumptions behind the equations is imperative to prevent misuse. Linear algebra is the study of all forms of math that can be expressed in vectors, from simple vector algebra all the way to advanced applications in differential equation... |
Solving Logic Problems: Book 2 Advanced learn how to apply logic strategies to a variety of problem-solving activities that call for deductive, inductive, convergent, and divergent thinking. Included are grid puzzles, pattern problems, syllogisms and other differentiated activities in Numerical, Verbal and Visual-Spatial Logic. An Extensions section provides additional experiences in applying logic. It is suggested that you start with Book 1 if students are not familiar with logic strategies. |
We, the executive members of the Mathematics Club at Pacific University,
strive to enhance the lives of students on campus by providing events that
connect students with a common interest in the mathematical sciences, and
strengthen the relationships between students, their peers, and faculty members.
Purpose:
The purpose of the Math Club is to support the study of mathematics at Pacific,
provide tutorial services in the mathematical sciences when needed and available,
and organize events that unite students with a common interest in mathematics. |
Certify your skills to increase your chance of being awarded!
to solve second order differential equation - open to bidding
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18the project is about second order differential equation solving the algorithms of earth's magnetic filed and Finite-difference equations will be formulated and solved that describe current flow induced by time-varying electromagnetic fields in the Earth. Students will write their own code in a programming language of their choice to solve the associated second-order differential equation. An introduction to the background science and explanation of the various algorithms will be given in class. In addition, students will be expected to identify and describe a scientific problem of relevance to them for which numerical computations could provide an answer or deeper understanding, and to write code to carry out the appropriate computations |
Modern Algebra and the Rise of Mathematical Structures 2nd edition
3764370025
9783764370022
Modern Algebra and the Rise of Mathematical Structures:This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.
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Rent Modern Algebra and the Rise of Mathematical Structures 2nd edition today, or search our site for Leo textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Birkhauser Boston. |
This book has long been eagerly awaited by workers and students of general relativity. In the early 1960's the reviewer studied, and later lectured, from a preliminary draft of some chapters of it. Although various drafts have been circulated, the final version - in spite of the inordinate delay of twenty years - is well worth waiting for. It is more mathematical and polished than the earlier versions, and there is no doubt that it will instantly become the definitive account of the subject. It is very clearly and carefully written, and will be of interest not only to the experienced researcher, but much of it will be accessible to beginning graduate students. It consists of five chapters: the geometry of world-vectors and spin-vectors; abstract indices and spinor algebra; spinors and world tensors; differentiation and curvature; fields in space-time; and an appendix on diagrammatic notation. Each of these chapters contains not only the obvious material, but many topics and observations which were neither to known only to cognoscenti. It is a goldmine of information on the mathematical apparatus of general relativity. Although it is clearly intended as preliminary to the second volume on twistor theory, it will be invaluable to a reader who is only interested in spinors. Much of the book has the informal and leisurely style of a working seminar - as opposed to that of a formal treatise - and it would be eminently suitable for selfstudy. Nevertheless, one minor criticism seems in order: some of the formalism and notation (particularly that in Chapter 2) seems somewhat excessive. It may all be necessary for the subsequent applications, but one wonders. Indeed one can readily imagine the late Professor J. A. Schouten gazing down in admiration at equations involving four, or more, different kinds of indices! However, the authors are to be warmly congratulated for producing such an excellent book. One is very glad to have Volume 1, and fervently hopes that Volume 2: "Spinor and Twistor Methods in Space-Time Geometry" will appear in the very near future. |
Topics in Multivariable and Vector Calculus
Compared to the familiar single-variable territory of Calculus I and II, multivariable calculus is a foreign land. Imagine, if you will, that instead of a function taking a single input and producing a single output, we either use one input and get multiple outputs (vector functions) or use several inputs and get one output (multivariable functions). And yes, there are even functions that have several inputs and multiple outputs! In this new realm, we will investigate lines and planes, curves and surfaces, and multidimensional generalizations of these objects, with a focus on those functions that can be visualized in three dimensions. For both vector and multivariable functions, we will address the basic questions of calculus: How do we measure rates of change? How do we find areas and volumes? How can we interpret derivatives and integrals both geometrically and for practical purposes? Fascinatingly, each of these questions has more than one answer. We will examine gradients and directional derivatives, maxima and minima and saddle points, double and triple integrals, integrals taken along curves, and more—as time permits. This seminar is essential for students intending to pursue engineering, physics, mathematics, graduate study in economics, or rocket science and is recommended for students pursuing chemistry or computer science. Prerequisites: Calculus I and Calculus II. |
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This book is very clear and easy to use. The author is clearly well informed in the area, and his years in lecturing reflect his ability to communicate effectively. I used this book as a companion to my lectures at uni and was very useful in providing alternative definitions and extra examples. A must have for an undergrad student in maths.
The book is intended for extensive use of undergradurate Maths students. It is recommended by University Professors as the Core texts and introduction of anything that is related to Abstract Algebra courses. Good use of examples, with fairly clearly laid out definitions. !The material used in this book will be useful for any undergrad students throughout the whole three year course! (This is the recommended course text in my Uni, you can't go wrong with it!) Anyway,(enough said!) a MUST buy not only because it covers a good understanding of the course, but by far the most important reason - it is a one of the very few grumpy Maths books that a student can afford, cheap enough to get it without the hassle of getting it out from the library! PS. Put it that way, I am forced to buy it NOT because I am a nerd. I want to pass my exams too, but when the Professor was too intelligent for ordinary humanoids like myself and the rest of my classmates it would be mission impossible. So don't come emailing me with Maths questions unless you are studying at the primary level!!
This book is really useful for the module that I have been doing. Not only describes abstract algebra, but goes into a lot of detail, giving another angle to look at things. There is also alot of interesting information on the players and the history of abstract algebra. All in all very helpful to anyone studying this.
I used this book as a supplement to a course in algebra at master level. Allenby uses a simple step by step approach to the subject supplied with simple examples and some exercises (not that simple). What I realy like with this book is the historical tour of algebra and the brief presentation of many of the worlds famoust mathematicians. I think the simple approach and the historical elements is main reason for still using this book when I am plying with the math.
5 of 5 people found the following review helpful
4.0 out of 5 starsGood for self-study22 Sep 2009
By Brian Jo - Published on Amazon.com exercise up to Chapter 5, I've found about 5-6 typos in the print, which is decent for a math text. Brief solutions for most problems are in the back, which makes this book ideal for self-study. |
This free and open online course in General Psychology was produced by the WA State Board for Community & Technical...
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This free and open online course in General Psychology was produced by the WA State Board for Community & Technical Colleges [ Psychology surveys the knowledge and methods of the discipline of psychology. Emphasis will be placed upon application of psychological knowledge to daily situations, and upon accessing and assessing information from a variety of sources about behavior. Skills in scientific reasoning and critical thinking will be developed during this course. Areas of psychology to be included are: research methods, neuroscience, human development, perception, consciousness, learning, memory, intelligence, motivation, emotion, personality, psychological disorders, psychotherapy, stress and health, and social psychology is a free online course offered by the Saylor Foundation.'"Everything is numbers." This phrase was uttered by the lead...
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This is a free online course offered by the Saylor Foundation.'"Everything is numbers." This phrase was uttered by the lead character, Dr. Charlie Epps, on the hit television show "NUMB3RS." If everything has a mathematical underpinning, then it follows that everything is somehow mathematically connected, even if it is only in some odd, "six degrees of separation (or Kevin Bacon)" kind of way.Geometry is the study of space (for now, mainly two-dimensional, with some three-dimensional thrown in) and the relationships of objects contained inside. It is one of the more relatable math courses, because it often answers that age-old question, "When am I ever going to use this in real life?" Look around you right now. Do you see any triangles? Can you spot any circles? Do you see any books that look like they are twice the size of other books? Does your wall have paint on it?In geometry, you will explore the objects that make up our universe. Most people never give a second thought to how things are constructed, but there are geometric rules at play. Most people never think twice about a rocket launch, but if that rocket is not launched at an exact angle, it will miss its target. A football field has to be measured out to be a rectangle; if you used another shape, such as a trapezoid, that would give an unfair advantage to one team, because that one team would have more space to work with.In this course, you will study the relationships between lines and angles. Have you ever looked at a street map? Believe it or not, there is a lot of geometry on a map, as you will see from this course. You will learn to calculate how much space an object covers, which is useful if you ever have to, say, buy some paint. You will learn to determine how much space is inside of a three-dimensional object, which is useful for those times you are trying to fit four suitcases, three kids, two adults, and a dog into the back of your vehicle.These are just some of the topics you will be learning. As you will quickly see, everything is not just numbers; it is also relationships. Even nature itself knows this. What did the little acorn say when it grew up? "Gee, I'm a tree!"'
2007 Winter Session "Information Changes the World״Information is changing the world. Information technology made dramatic...
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2007 Winter Session "Information Changes the World״Information is changing the world. Information technology made dramatic progress in the latter half of the last century, and now, it is greatly influencing every part of the society, from micro world of biology to global economic order and international relations. We now stand transfixed in the new world where information explodes, links, fuses together and be restructured.When we look around, the networked digital information society has changed our everyday concerns and behavior patterns, in the midst of internet, mobile phones, databases, games, contents industries such as animations, virtual reality, popularization of compact digital media such as iPod, streaming and other online music distribution technologies, development of blogs and search engines.Information serves also as the new foundation for our sense and imagination. What would a new expression for the globally- informatized world be? When robotics and simulation merge with art and music, what kind of new art would the 21st century people acquire?״Information" is a broad and profound theme.Don't you feel that "information" we access in everyday life or get from TV news and internet is far gigantic than "information" learned in school? This is why we invite you through this "Global Focus on Knowledge" lecture series to the new field of knowledge that broadens explosively, crossing boundaries of academic disciplines. In this series, we focus on three main topics; "Structuration of Knowledge and the New Order of Information״, "From Life to Robots״, "Interface of Information and Art״.
This course introduces the study of aging, its implications for individuals, families, and society, and the background for...
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This course introduces the study of aging, its implications for individuals, families, and society, and the background for health policy related to older persons. It presents an overview on aging from different perspectives: demography, biology, epidemiology of diseases, physical and mental disorders, functional capacity and disability, health services, federal and state health policies, social aspects of aging, and ethical issues in the care of older individuals. The Course Learning Objectives are:To introduce students to a range of health issues that older persons, their health providers, and society face in the next decade. These include the demographics and biology of aging, an understanding of the basic health and mental health issues, and policy decisions that state and federal government will need to solve related to these issues.
This unique training addresses the institutional culture of five responder groups: law enforcement, EMS, fire, public health,...
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This unique training addresses the institutional culture of five responder groups: law enforcement, EMS, fire, public health, and private security in an attempt at fostering understanding among these groups. This presentation's content is part of a non-credit, professional development training generated by JHU faculty and the Johns Hopkins Center for Public Health Preparedness.The OCW version of this presentation comprises slides only. A full version, including synchronized audio is available at no charge by visiting the Johns Hopkins Center for Public Health Preparedness (registration required).
This free textbook/course is designed to provide health care providers with information to help them better assess patient...
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This free textbook/course is designed to provide health care providers with information to help them better assess patient needs, and understand their concerns. Focused on infection prevention, it will help providers strengthen infection prevention practices in low resource areas. and course presents major nutritional problems that influence the health, survival, and developmental capacity of...
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This course presents major nutritional problems that influence the health, survival, and developmental capacity of populations in developing societies. Covers approaches implemented at the household, community, national, and international levels to improve nutritional status. Explores the degree to which malnutrition can be prevented or reduced prior to achieving full economic development through targeted public and private sector interventions that address the causes of malnutrition. Included are a syllabus, lectures, readings, assignments and other resources.
This is a free online textbook/course that "gives you some insight into social work practice and the theory which informs the...
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This is a free online textbook/course that "gives you some insight into social work practice and the theory which informs the practice. This unit is made up of a series of six extracts. You are introduced to the four components to good practice and will look at the importance of the following approaches to social work practice: •Biography •The social context of social work •Responding to children's needs •Empowerment and advocacy in social work •Social work purpose, roles, codes and standards״ |
MTH60 Introductory Algebra- 1st Term
Introduction to algebraic concepts and processes with a focus on linear equations and inequalities in one and two variables. Applications, graphs, functions, formulas, and proper mathematical notation are emphasized throughout the course. A scientific calculator is required. The TI-30X II is recommended. Prerequisites: MTH 20 and RD 80 (or ESOL 250). Audit available.
(For detailed information, see the Course Content and Outcome Guide ).
Credits:
4.00
Distance Education: Web Course
Information
CRN 22290
From the Instructor:
Learning mathematics online is not easy. It is imperitive that your weekly schedule has room for at least 15 hours a week for this course. Just like in a face-to-face class, you should expect to spend 5 hours per week on lecture-equivalent course components (reading your textbook and lecture notes, watching videos, and participating in discussions) and an additional 10 - 12 hours per week working on practice homework, graded homework, and quizzes. To succeed in this course you will need to have strong time management skills and be comfortable with computers.
Visit the Distance Learning Page to determine if an online course is right for you.
Please seriously consider your level of preparation with the prerequisite material (MTH 20), the amount of time you can devote to this course each week, and if an online learning environment for mathematics is conducive to your learning style.
MTH 60 requires two proctored, closed note, closed book, open-response exams that count for 50% of the total grade for the course. The proctored exams are administered at the Southeast Campus. The proctored exams are on Friday, May 9th and Friday, June 13th from 10:00 am - 12:00 pm. If you live outside the area, contact me to arrange to have your exams proctored at another site.
Course Specific Requirements:
MyMathLab is REQUIRED for this course. You can either purchase a standalone MyMathLab access code at (this comes with an electronic copy of the book and student solutions manual) or you can purchase a new book that comes bundled with MyMathLab and solutions manual from the PCC bookstore. This course uses the same textbook that on campus courses use. Refer to the bookstore for help in this.
Students with disabilities should notify their instructor if accommodations are needed to take this class. For information about technologies that help people with disabilities in taking Web based distance learning classes please visit the Office for Students with Disabilities website. |
Tagged Questions
I'm finishing my undergraduate degree in 6 weeks and I'm pretty happy with how my education is coming along so far. I can write proofs, solve many different problems, and I even have some idea as toFor the two scenarios below, either give an example if such a request is possible, or argue why such an request is impossible. I think the first is possible and second is impossible. However, I can't have a strong interest in maths, and I feel that advanced physics is cool too (although I've only studied classical mechanics at high school, which is kind of boring). So I'm not sure about whichCan you suggest me a comprehensive book to revise high school mathematics (up to besic calculus)? It should be extremely clear and complete and "scientific" (not like most high school books). Thank ...
I read the theorem stated below on Wikipedia
( But I do not understand how to prove the equivalence of these different definitions.Any hints ...
I'm a high school student who just finished elementary school.Though since I was into math I started going through advanced math while I was in elementary school and I pretty much finished most of the ...
I recently bought a good amount of math books, because I want to self teach math, and they are on their way--via U.P.S.--to my house. I was just wondering if someone would be kind enough to tell me in ...
I could prove that a four input butterfly network is planar. For that I simply drew it such that no two edges intersect. But I could not use the same approach for the 8-input butterfly network. So I'm looking for a textbook or resources my younger brother could use. (He is in year 9, equivalent to US high school freshman) He is wanting to advance upon his math, he currently does exercises out ...
What would be a step by step sequence of learning mathematics from basic algebra to basic calculus? I pose this question because I am in the process of self-learning mathematics as a preparation for a4.5: If f is continuous on a closed set in $R^1$, prove there exist continuous functions $g$ on $R^1$ such that $g(x)=f(x)$ for all $x \in \mathbb{E}$.
4.6: Suppose $\mathbb{E}$ is compact, and prove ... |
Combinatorics An Introduction
Description: This book provides a treatment of counting combinatorics that uniquely includes detailed formulas, proofs, and exercises and features coverage of derangements, elementary probability, conditional probability, independent probability, and Bayes'More...
This book provides a treatment of counting combinatorics that uniquely includes detailed formulas, proofs, and exercises and features coverage of derangements, elementary probability, conditional probability, independent probability, and Bayes' Theorem. Using elementary applications that never advance beyond the use of Venn diagrams, the inclusion/exclusion formula, the multiplication principal, permutations, and combinations, Combinatorics is perfect for courses on discrete or finite mathematics—or as a reference for anyone who wants to learn about the various applications of elementary combinatorics |
This textbook will prepare students for future Algebra courses and also consolidate the core ideas of previous mathematics courses, so that it will serve students of varied mathematics backgrounds. The contents of this course are many of the fundamental ideas and procedures necessary to be successful in subsequent mathematics courses and many careers |
survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as differences. Rather than focusing strictly on historical and mathematical issues, the book examines philosophical, foundational, and logical questions. Although comprehensive in its treatment, this study represents a less cumbersome, more streamlined approach than the classic three-volume reference by Sir Thomas L. Heath (also available from Dover Publications). To make reading easier and to facilitate access to individual analyses and discussions, the author has included helpful appendixes. These list special symbols and additional propositions, along with all of the assumptions and propositions of the Elements and notations of their discussion within this volume.
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Introductory Algebra - 4th edition
Summary: Elayn Martin-Gay firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief.Introductory Algebra, Fourth Editionwas written to provide students with a solid foundation in algebra and to help stuents make the transition to intermediate algebra. The new edition offers new resources like theStudent Organizerand now includesStudent Resourcesin the back of the book to help students on their que...show morest for |
Differential Equations in Action
Making Math Matter
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Class Summary
In this course you will examine real world problems -- rescue the Apollo 13 astronauts, stop the spread of epidemics, and fight forest fires -- involving differential equations and figure out how to solve them using numerical methods.
What Will I Learn?
By the end of this course, you'll develop an intuition for the use of differential equations in the applied sciences. You'll also learn how to build mathematical models for systems of differential equations. Along the way, you'll learn how to translate mathematical expressions into Python code, and solve some really cool problems!
What Should I Know?
You'll need a basic knowledge of programming for this course, around the level of CS 101 or equivalent. You'll also need to understand trigonometry at the high school level, as well as basic vector algebra. This class will primarily involve solving equations numerically rather than analytically, but some exposure to calculus and physics at the level of PH 100 wouldn't hurt.
Syllabus
Lesson 1: Rescuing Apollo 13, Part 1
Introduction to the Forward Euler Method
Lesson 2: Rescuing Apollo 13, Part 2
Comparing solvers, Heun's Method and Symplectic Euler Method
Lesson 3: Analyzing the Spread of Diseases
Implicit methods and stiffness
Lesson 4: There's Plenty of Fish in the Sea?
Stability, sensitivity, and optimization
Lesson 5: Antilock Brake Systems
Friction, equilibria, and control theory
Lesson 6: The Path of a Forest Fire
Partial differential equations and heat conduction
Lesson 7: Advanced Applications of Numerical Methods
Chaos, software, and predictive capabilityJörn Loviscach
Instructor
Jörn Loviscach is a professor of technical mathematics and computer engineering. In a former life, he was a professor of computer graphics, animation, and simulation, worked as editor and senior editor for several computer magazines. For three years he also served as deputy editor-in-chief of c't Magazin für Computertechnik, a renowned German biweekly. His research integrates human-computer interaction, visual computing, and audio and music computing. Both as a researcher and as a practitioner he is interested in applying digital media to education. He has published over 1800 video lectures on his YouTube channel on mathematics and computer science, and his channel is one of the most popular of its kind in Germany.
Miriam Swords Kalk
Course Developer
Miriam feels inspired by the inherent beauty of math and loves helping others develop confidence and excitement as they learn. Having the opportunity to do this with thousands of students all over the world through her work at Udacity is a dream come true. Outside of work, she enjoys singing, baking, teaching yoga, and tutoring high schoolers. Miriam attended Stanford University, where she earned a B.S. in Physics, a B.A. in Philosophy and Religious Studies, and an M.A. in Religious Studies. |
Find an El Mirage Prealgebra solutions are very carefully detailed, and important concepts are particularly emphasized for attention. The student is urged to ask questions in discussing those problems, and, in turn, I ask peripheral questions to ensure good basic comprehension. Reading involves developing a comprehension of what the writer means |
Product Description
Created for the independent, homeschooling student, Teaching Textbooks has helped thousands of high schoolers gain a firm foundation in upper-level math without constant parental or teacher involvement.
Extraordinarily clear illustrations, examples, and graphs have a non-threatening, hand-drawn look, and engaging real life questions make learning pre-algebra practical and applicable. Textbook examples are clear while the audiovisual support includes lecture, practice and solution CDs for every chapter, homework, and test problem. The review-method structure helps students build problem solving skills as they practice core concepts and rote techniques.
Teaching Textbooks' new Pre-Algebra Version 2.0 edition now includes automated grading! Students watch the lesson on the computer, work a problem in the consumable workbook, and type their answer into the computer; the computer will then grade the problem. If students choose to view the solution, they can see a step-by-step audiovisual solution.
Teaching Textbooks Pre Algebra 2.0 includes the following new features:
Automated grading
A digital gradebook that can manage multiple student accounts and be easily edited by a parent.
Over a dozen more lessons and hundreds of new problems and solutions
Interactive lectures
Hints and second chance options for many problems
Animated buddies to cheer the student on
Reference numbers for each problem so students and parents can see where a problem was first introduced
Product Reviews
Teaching Textbooks Pre-Algebra Kit, Version 2.0
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Finally, Math thats FUN
My 13 year old son used TT Pre Algebra this year. He has Asperger Syndrome which is a high functioning form of Austism. He hated Math forever but with this curriculum he has learned to love it. He hates repetition when he already "gets it" so the format of TT is wonderful. It has been a life saver for us. We will continue use of TT products through high school. The nice part is that my daughter coming up a few grades behind can use it without me buying anything new!
April 8, 2014
Great for the struggling math student!
We completed level 7 and are about half-way through Pre-Algebra, and after trying many other math curricula, this one has been a pretty good fit for us. I like the way the lessons are presented bit by bit and so the student isn't overwhelmed with new information.
The only real "issues" I have with it, is the quality of the books isn't that great, and I wish there were supplemental exercises that could be done if the student needed it.
The automated grading is a great feature; saves lots of time and the student can have immediate results! This is a very homeschool mom user friendly program!
Would really recommend Teaching Textbooks if you have a learner that needs to take things at a slower pace, or is struggling in math. (I have yet to find the "perfect" math curriculum, but this one is pretty close!)
April 6, 2014
I absolutely LOVE teaching textbooks.
Teaching textbooks is fabulous. I recommend it to everyone.
September 25, 2013
Teaching Textbooks Pre-Algebra
My daughter, hates math with a passion. From the very first lesson of TT she has slowly begun to change her mind. She really enjoys what TT has to offer her. She's an audio/visual leaner with slight dyslexia so this has been a wonderful way for her to learn. I love the fact that version 2.0 does the grading for you, one less thing I need to grade but I do go in and check her progress. I can say, she's excited enough about this product that I get daily updates from her on how her lesson went and what her grade was. :) I hope that the rest of the year goes as smoothly and that she continues to enjoy TT. If so, we will continue with this for the remainder of her highschool years.
August 27, 2013 |
Numerical Mathematics and Computing
9780495114758
ISBN:
0495114758
Pub Date: 2007 Publisher: Thomson Learning
Summary: Authors Ward Cheney and David Kincaid show students of science and engineering the potential computers have for solving numerical problems and give them ample opportunities to hone their skills in programming and problem solving. The text also helps students learn about errors that inevitably accompany scientific computations and arms them with methods for detecting, predicting, and controlling these errors. A more t...heoretical text with a different menu of topics is the authors' highly regarded NUMERICAL ANALYSIS: MATHEMATICS OF SCIENTIFIC COMPUTING, THIRD EDITION.
Cheney, Ward is the author of Numerical Mathematics and Computing, published 2007 under ISBN 9780495114758 and 0495114758. Three hundred four Numerical Mathematics and Computing textbooks are available for sale on ValoreBooks.com, one hundred seventeen used from the cheapest price of $12.21, or buy new starting at $66.88.[read more |
Magnolia, TX ACT MathMr. RobertThis course introduces the properties and operations of the real number system as well as the use of algebraic expressions, equations, and inequalities. Students learn to construct graphs of linear and quadratic functions and to use graphs to solve problems. |
Mathematical Reasoning for Elementary School Teachers (6th Edition)
9780321693129
ISBN:
0321693124
Edition: 6 Pub Date: 2011 Publisher: Addison Wesley
Summary: Calvin T. Long is the author of Mathematical Reasoning for Elementary School Teachers (6th Edition), published 2011 under ISBN 9780321693129 and 0321693124. Nine hundred twenty two Mathematical Reasoning for Elementary School Teachers (6th Edition) textbooks are available for sale on ValoreBooks.com, four hundred fifty nine used from the cheapest price of $12.31, or buy new starting at $63.4610/10)[less] |
June 20–24, 9:00 a.m.–4:00 p.m. (For students enrolled in grades 5–6 as of April 2011)
Insights into Algebra
This course is designed for students who have taken a Pre-algebra or Algebra 1 course. You will explore how to make sense of more important algebraic concepts and examine why algebra has been a useful tool to solve meaningful problems. One particular focus of the course will be to analyze and utilize algebra in various forms—verbally, numerically, graphically, and symbolically.
June 27–July 1, 9:00 a.m.–4:00 p.m. (For students enrolled in grades 7–8 as of April 2011) |
A-Level Mathematics
A-Level Mathematics is an excellent foundation for both further study and employment. It remains a particularly impressive qualification that demonstrates core intelligence, a logical mind and excellent problem-solving skills.
Generally, mathematics students earn around 10% more money than students who have not completed A-Level Mathematics. |
ALEKS Math Assessment By David L. Johnson A ll math teachers face the chal-lenge of responding to students individually in the classroom, assessing each student's {ALEKS Math Assessment}.   Download  Source:
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ALEKS: Research Brought to Life Quantitative Data for ALEKS In Math 241 (Calc II), students who used ALEKS (30 students) were compared with students who did {Mastery of Mathematics with}.   Download  Source:
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ALEKS (Assessment and LEarning in Knowledge Spaces) is a powerful, online math program that uses an artificial intelligence engine to provide precise assessment and {Response to Intervention (RtI) and ALEKS}.   Download  Source:
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ALEKS subscriptions can be purchased at any time, banked, and activated when they are ready to be used. Mathematics - LV 3 (with QuickTables) Mathematics {K-12 Subscriptions}.   Download  Source:
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On the next step of the course set-up process, instructors will select "Yes" to use a textbook with ALEKS. They will then {ALEKS}.   Download  Source:
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ll math teachers face the chal-lenge of responding to students individually in the classroom, ALEKS Math Assessment One of about 20 assessment questions {ALEKS Math Assessment}.   Download  Source:
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Level 1 ALEKS Math Placement Assessment – Next Steps Your advisor has placed you into a Math course using the table on page 2. If you would like to know {Level 1 ALEKS Math Placement Assessment – Next Steps}.   Download  Source:
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If your ALEKS score places you in a math class you feel you are not ready for, you can take the prerequisite course. For example, {MATH PLACEMENT AT FAU}.   Download  Source:
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ALEKS Information A significant amount of learning for this course will happen through the web-based, artificially intelligent, educational software called ALEKS (www {ALEKS}.   Download  Source:
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Your next window will look like this: Click on ALEKS Math Asmnt to get to the Assessment Note: Due to the ALEKS plug‐in that you will need {Click on ALEKS Math to get to the}.   Download  Source:
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Purchase "Aleks Math (6 weeks)" for $30. 6) Complete the registration process. You will now be ready to have a quick tutorial 7) Take {Algebra/Trigonometry Review for Calculus - PSU Mathematics Department}.   Download  Source:
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ALEKS is a computer-based learning system that's used at Hartnell College for modular Pre-Algebra (Math 201L1, 201L2, and 201L3). You access the content {Tips for Using ALEKS}.   Download  Source:
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Algebra Performance Tasks: Systems of Linear Equations
PDF (Acrobat) Document File
Be sure that you have an application to open this file type before downloading and/or purchasing.
7.49 MB | 15 pages
PRODUCT DESCRIPTION
14 pages, aligned with common core standards.
The performance task is an alternative type of assessment that asks students to actively engage in creating a product that demonstrates his knowledge or skills. In this case, students are asked to draft a solution to a problem that illustrates, generalizes, communicates, and verifies their results. It is not so much about the answer as it is about their ability to present a thorough and convincing solution.
Students use multiple methods to explore functions and multi-step equations (in two variables) in the course of two application problems: a carnival conundrum and a sales contest.
The first task asks students to write, interpret and solve a linear system written in standard form. I use it at the conclusion of my unit on systems of equations (Algebra 1: Chapter 7)
The second task incorporates systems into a more comprehensive task in which students create a presentation of sales trends for two competing stores. They must use tables, graphs, and equations to illustrate, analyze, and interpret the situation.
Standards-based grading rubrics are included for both problems. Also included in this unit is a cover page with essential questions, common core standards alignment, student objectives, and teacher notes. Teacher answer keys are also provided.
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Combining theory, methods and instructional activities in one convenient volume, Heddens, Speers and Brahier's Twelfth Edition of "Today's Mathematics" provides a valuable set of ideas and reference materials for actual classroom use. This combined coverage of content and methods creates a long-lasting resource, helping pre-service and in-service teachers see the relationship between what they teach and how they teach. Reflecting recent recommendations from the NCTM Standards, the text emphasizes how to introduce a concept at a given level to expand and reinforce it at successive levels.
A discussion of changes in content and emphasis in Pre-K-8 mathematics
A listing of the NCTM standards for grades Pre-K-2, 3-5 and 6-8 and a supporting set of references.
An example of a complete NCTM standard (see chapter on Technology in Mathematics, a discussion of the role of the computer technology in elementary/middle grades is supported by the complete text of the NCTM position paper on technology in the classroom and a set of activities for grades Pre-K-8.)
On the CD that accompanies the text, each chapter has both primary and intermediate sample lesson plans for each of the content chapters to aid in putting research theory into classroom practice. |
Explore the concept of graphing exponential functions. High school mathematicians are given exponential functions such as y=2*3^x, and they graph them on a coordinate plane. They are given two exponential graphs and must write an equation to match the graph.
Tenth graders study graphing exponential functions. In this transformations lesson, 10th graders apply inquiry to determine how changes to a parent function affect its graph. Students analyze transformed graphs and generate the function that matches the graph given the equation of the parent function.
Students explore exponential function through graphing and investigating patterns of graphs. They graph exponential functions and relate these functions to real world applications of functions. Afterward, they discuss and compare peer graphs.
Students explore the concept of exponents. For this exponential functions worksheet, students complete provided worksheets that require them to graph exponential functions by hand as well using graphing calculators.
The investigation of exponential equation in the context of increasing college tuition costs is explored through this lessib. Students write exponential equations based on the percent of change of college tuition and use their equations to do analysis and make predictionsStudents explore the concepts of exponential growth and decay. In this Algebra II lesson, the students use a variety of teaching resources, including the web, and modeling and experimentation, to identify exponential growth or decay and sole related problems.
Analyze functions by their shape and equation and identify decay and growth based on the equation given. Learners graph their exponential functions and differentiate it using the logarithmic versus the exponential function solve and graph exponential functions. In this algebra lesson, students identify function notations and discuss the different properties of exponential functions. They relate linear functions to the real world.
Students explore the concept of exponential functions. In this exponential functions lesson plan, students model exponential growth about a high school population using an applet. Students manipulate the applet to show the effect that a change in the values of a, b, h, and k have on the equation.
Pupils explore the concept of linear and exponential growth. In this linear and exponential growth lesson, students collect data about China's population. Pupils model the data to determine if it is linear or exponential.
Seventh graders investigate the practice of purchasing a used car with the help of links and resources found in the lesson plan. They conduct research to find the right kind of car using a variety of resources. Students examine data in order to make the most informed decision.
Students investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is produced when plotting the coordinates.
Students investigate exponential and logarithmic functions. In this Pre-calculus/Calculus lesson, students investigate the relationship between y = ln(x) and y = e^x. Students graph the functions and show they are inverses of each other.
Students listen to a story dealing with exponential and linear growth. After reading the story, students complete a table comparing information. Using a calculator, students graph the rice and daily population of flies. They study the graphs, determine trends, estimate the fly population, and create an equation that explains the situation |
Probability: An Introduction
Book Description: 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. Chapter bibliographies |
TEX is now widely used for computer typesetting in mathematics, science, and engineering. This book is a carefully paced, tutorial introduction for people first learning the system. Special emphasis is given to what can go wrong, and how to fix things. LATEX notes are provided for use with a set of macros. Features
First book about TEX that is really for beginners.
Shows the reader not only what TEX is, but how to use it.
Teaches the reader how to write simple macros for all major formatting tasks.
Covers typesetting of mathematics, includes conditionals, and auxiliary files, and describes TEX's boxes and rules.
Contains tips on diagnosing bugs, and fixing line and page breaks, along with useful reference material |
Info for
Punch Line Algebra Book A 7 11
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