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Please read Chapter 5 of the textbook.
The final exam will be comprehensive, i.e. it will cover all material we have studied
this semester, including Chapters 1, 2 and 5 of the textbook. Also please bring a
compass and straightedge to the exam as we agreed to have a construction problem on
the exam. It is not necessary to bring a blue exam booklet, as all answers
will be placed on the printed exam copy. For further details regarding the final exam,
please refer to the syllabus (copies of which are available through the link below).
Lyrics
and audio
for Tom Lehrer's song Lobachevsky played in class on Wed Sept 13
Solutions to HW1 (122 KB). I graded problems 1,2,4 each out of 10 points. The median grade was 23/30.
An applet illustrating Pascal's Theorem (described
in class on Wed Sept 20). You'll need to select both boxes (the line of collinearity; and extend lines). Also see the
applet describing the dual of Pascal's Theorem (Brianchon's Theorem).
Models of the hyperbolic plane constructed by crochet
(4.7 MB) including some nice photographs. You don't need to read all the technical formulas here to appreciate the point and gain some
intuition into the structure of the hyperbolic plane!
Textbook author Judith Cederberg's site for resources
for investigating the hyperbolic plane, including scripts for Geometer's Sketchpad
Leonard Mlodinow's book
Euclid's Window
is highly recommended reading for this course, particularly Chapter I (The Story of Euclid) and Chapter III, Sections 16 through 19 (describing
hyperbolic space, and the question of consistency in axiomatic systems for geometry). |
A differential equation may be formed from all algebraic equations by the elimination of the arbitrary constants between the latter and its derivatives. The number of derivations being equal to the number of arbitrary constants in the algebraic equation. Thus we see that the order of a differential equation is the same as the number of arbitrary constants in its primitive. In this brief paper we propose to teach differential equations of the first order alone.
URI:
Items in MOspace are protected by copyright, with all rights reserved, unless otherwise indicated. |
Discrete Mathematics
9780023607219
ISBN:
0023607211
Edition: 3 Publisher: Prentice Hall PTR
Summary: This best-selling book provides an accessible introduction to discrete mathematics through an algorithmic approach that focuses on problem- solving techniques. This edition has the techniques of proofs woven into the text as a running theme and each chapter has the problem-solving corner. The text provides complete coverage of: Logic and Proofs; Algorithms; Counting Methods and the Pigeonhole Principle; Recurrence Re...lations; Graph Theory; Trees; Network Models; Boolean Algebra and Combinatorial Circuits; Automata, Grammars, and Languages; Computational Geometry. For individuals interested in mastering introductory discrete mathematics.
Johnsonbaugh, Richard is the author of Discrete Mathematics, published under ISBN 9780023607219 and 0023607211. Eighteen Discrete Mathematics textbooks are available for sale on ValoreBooks.com, seventeen used from the cheapest price of $0.21, or buy new starting at $21 |
Calculus
Calculus is concerned with change and motion; it deals with the quantities that approach other quantities.
Sir Isaac Newton invented his version of calculus in order to explain the motion of planets around the sun. Today, calculus is used in calculating the orbits of satellites and spacecrafts, in predicting population sizes, in estimating how fast prices rise, in forecasting weather, in calculating life insurance premiums, and in many other areas.
Videos
Big Picture of Calculus
Calculus is about change. One function tells how quickly another function is changing. Professor Strang shows how calculus applies to ordinary life situations, such as:
* driving a car
* climbing a mountain
* growing to full adult height
Big Picture: Derivatives
Calculus finds the relationship between the distance traveled and the speed - easy for constant speed, not so easy for changing speed. Professor Strang is finding the "rate of change" and the "slope of a curve" and the "derivative of a function."
Big Picture: Integrals
The second half of calculus looks for the distance traveled even when the speed is changing. Finding this "integral" is the opposite of finding the derivative. Professor Strang explains how the integral adds up little pieces to recover the total distance.
I know the speed at each moment of my trip, so how far did I go? |
Get ready to master basic arithmetic subjects, principles, and formulas! Master Math: Basic Math and Pre-Algebra is a comprehensive reference guide that explains and clarifies mathematic principles in a simple, easy-to-follow style and format. Beginning with the most basic fundamental topics and progressing through to the more advanced, Master Math: Basic Math and Pre-Algebra explains the principles and operations of arithmetic, provides step-by-step procedures and solutions, and presents examples and applications. A complete table of contents and a comprehensive index enable you to quickly find specific topics, and the approachable style and format facilitate an understanding of what can be intimidating and tricky skills. Perfect for both students who need some extra help or rusty professionals who want to brush up on their basic math skills, Master Math: Basic Math and Pre-Algebra will help you master everything from fractions and decimals to roots and radicals. less |
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Chapter 2: Analyzing Polynomial and Rational Functions
Chapter Outline
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Description
This chapter focuses on concepts and skills relevant to solving problems involving polynomial and rational functions. Analytical, graphical and numerical methods are considered for solving polynomial and rational equations. |
Elementary Algebra-Sign in and Succeed! - 8th edition
Summary: Algebra is accessible and engaging with this popular text from Charles "Pat" McKeague! ELEMENTARY ALGEBRA is infused with McKeague's passion for teaching mathematics. With years of classroom experience, he knows how to write in a way that you will understand and appreciate. McKeague's attention to detail and exceptionally clear writing style help you to move through each new concept with ease. Real-world applications in every chapter of this user-friendly b...show moreook highlight the relevance of what you are learning. And studying is easier than ever with the book's multimedia learning resources, including CengageNOW for ELEMENTARY ALGEBRA, a personalized online learning companion |
Text: Elementary Differential
Equations by Edward and Penney; we will be covering Chapters 1 through 4, plus
other topics if time permits.
You need to have this text on the first day
of class, not at some indeterminate later date (see the next paragraph.) If you
show up on the first day of class without the text, I will take this as a sign
of LACK OF PREPARATION.
In this course, you can learn both techniques
and theory by doing problems. So I am going to assign problems every single
day, starting on day one. They will be collected, graded and returned to you at
the next meeting and will serve as the springboard for what comes next. You
should assign them high priority…I'm not kidding on this.
Daily assignments will count one third of the
grade. The other two thirds will come from a Midterm and a Final.
Let's articulatesome
ground rules:
> First...there will be
ABSOLUTELY NO CELL PHONES, LAPTOPS or any other type of electronic devices in
use during class. Please take care of business and TURN THEM OFF before you
enter the classroom.
>Second…please
DO NOT come to class late as it is disruptive. Be in your seat, mentally alert
and ready to participate, at 9:20 when class begins.
>
Third…If you
get sick or have some other kind of emergency, please get in touch with me as
soon as you can so we can work things out.
> Fourth, classes begin on Wednesday
January 22nd. ( You wouldn't believe it but
in the past some peeps thought they could begin classes on a day of their own
choosing. That was a BIG mistake.)
Assignments:
1)Page 17 # 1,2,3,6,8,9,and 11,12
2)First, in the problem we analyzed in class, with
initial velocity 50 and initial height 100, what is the impact velocity, vTHUD? Next,on page 18, let's do # 24,26 and 31.
3)Page 43 # 4,13, 21, 22,25
4)Page 43 # 33-37
5)Both problems have to do with the logistic equation
which we began discussing in class. First, expand 1/P(150-P)
by partial fractions and integrate. Second, after integrating, show that P/(150 – P) = C e (.06)tWe'll pick it up there next time.
6)Using the
values of k and M postulated in the Verhulst model,
predict the US population values for the years 1845 and 1895. ( These are remarkably accurate.)Next, in the Doomsday/Extinction model
which we started in class, show that if P0 = 200 then Doomsday will
occur sometime in the 23rd year.
7)Page 54 # 1-4,
17, 18, 24. Put each of these in linear form and calculate the integrating
factor. You can stop there. Make two copies…one to hand in and one to keep/
8)Page 54 Finish #1-4, 18 and 24
9)A handout sheet on a linear equation which arises in
connection with a falling body encountering air resistance. YOU KINDA HAD TO BE
THERE.
10)A handout on
exact equations
11)page98 # 2 -12 . As discussed in
class, just test each equation to determine if it is separable, linear or exact
(or none of the above) and stop there…you don't need to solve.
The Midterm Exam will be on Monday, March 10th
12) page 112 # 33-38
13) On page
134, take problems 3 – 9. Figure out which of them has complex roots and, for
these, write out the general solution. |
Algebra Cross Number Puzzles
Overview
Algebra Cross Number Puzzles! 20 Practice Puzzles FUN PUZZLES FOR YOUR FREE TIME. CREATE YOUR OWN PUZZLE! The book consists of 20 practice puzzles for Algebra. It can be used to review and reinforce algebra concepts. It can also be used as fun puzzles for your free time. There is a page for creating your own puzzle. |
Linear algebra is two things in one: a general methodology
for solving linear systems, and a beautiful abstract
structure underlying much of mathematics and the sciences.
This course will try to strike a balance between both. We
will follow the book of our own Peter Lax, which does a
superb job in describing the mathematical structure of
linear algebra, and complement it with applications and
computing. The most advanced topics include spectral theory,
convexity, duality, and various matrix decompositions. |
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Latest Visitors
The Linear Algebra book by Strang is pretty good, in my opinion. Much of that space is taken up by the HUGE amount of problems he has at the end of each chapter - the actual material presented is light, but there's plenty of self-education in those problems. Careful though, many of them are written for people with extensive math backgrounds already - I took a year of calculus but found he was assuming some knowledge I didn't have.
Those books look very theoretical overall, which isn't a problem if that's what you like. Many of them are more applicable for computer graphics people - for anyone who wants to be a game programmer and isn't as sold on graphics theory, they're less essential. |
This text presents a unified treatment of the three classical geometries: Euclidean, hyperbolic, and spherical (elliptic). This unique approach of combining all three geometries simultaneously using twelve concise axioms has never appeared in book form before at this level. The text introduces each axiom, including its reasons for use and implications, and then explains it in detail. In addition to numerous figures, examples, and exercises, the book includes Geometera (TM)s Sketchpad to help students build and investigate math models, objects, figures, and graphs. The author provides programs for students to use on a supporting website. A solutions manual is available for qualifying instructors.
From the Publisher: hyperbolic geometry, showing how geometry has real and far-reaching implications. He approaches every topic as a fresh, new concept and carefully defines and explains geometric principles.
The book begins with elementary ideas about points, lines, and distance, gradually introducing more advanced concepts such as congruent triangles and geometric inequalities. At the core of the text, the author simultaneously develops the classical formulas for spherical and hyperbolic geometry within the axiomatic framework. He explains how the trigonometry of the right triangle, including the Pythagorean theorem, is developed for classical non-Euclidean geometries. Previously accessible only to advanced or graduate students, this material is presented at an elementary level. The book also explores other important concepts of modern geometry, including affine transformations and circular inversion.
Through clear explanations and numerous examples and problems, this text shows step-by-step how fundamental geometric ideas are connected to advanced geometry. It represents the first step toward future study of Riemannian geometry, Einstein?s relativity, and theories of cosmology.
Description:
"College Geometry "is an approachable text, covering both Euclidean and
Non Euclidean geometry. This text is directed at the one semester course at the college level, for both pure mathematics majors and prospective teachers. A primary focus is on ... |
Combinatorics Topics, Techniques, Algorithms
9780521457613
ISBN:
0521457610
Pub Date: 1995 Publisher: Cambridge University Press
Summary: A textbook in combinatorics for second-year undergraduate to beginning graduate students. The author stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter. The book is divided into two parts, the second at a higher level and with a wider range than the first. More advanced topics are given as projects, and there are a number of exercise...s, some with solutions given.
Cameron, Peter J. is the author of Combinatorics Topics, Techniques, Algorithms, published 1995 under ISBN 9780521457613 and 0521457610. Five hundred thirty eight Combinatorics Topics, Techniques, Algorithms textbooks are available for sale on ValoreBooks.com, one hundred sixty used from the cheapest price of $41.00, or buy new starting at $73.24 |
Registration and Records
2002 Summer - Mathematics
DAY - 6 WK - SESSION 1
!* MTH-111-S01Math Elem/Middle Tchr I 4 10:30AM-12:35PM MTWTH MACS 147 R. Little Core Academic Skills: Writing, Problem Solving and Quantitative Open to early and middle childhood majors only.A systematic presentation of elementary mathematics for those who are preparing to teach early and middle childhood.The course provides an overall view of the number system, emphasizing ideas and concepts rather than routine drill.The following topics are surveyed: evolution of the number system, logic and sets, elementary number theory,rules for algebraic manipulation, and mathematical systems.
!* MTH-136-S01Applied College Math 3 8:00AM-10:05AMMTTH MACS 147 R. Little Core Academic Skills: Problem Solving and Quantitative This course is designed for freshman and deals with the fundamental mathematical tools frequently applied in the natural, management and social sciences.Topics include functional relationships, linear systems, matrices, linear programming, mathematics of finance, sets and graphing.
CANCELLED !* MTH-140-S01Precalculus Math4 10:30AM-12:35PM MTWTH MACS 146 T. Riggle A college level review of algebra, trigonometry and analytical geometry.The course is designed to prepare students for the study of calculus.A graphing calculator is required and will be used extensively. |
Summary: This text is for a one-term course in intermediate algebra, for students who have had a previous elementary algebra course. A five- step problem-solving process is introduced, and interesting applications are used to motivate students. Coverage progresses from graphs, functions, and linear equations to sequences, series, and the binomial theorem. New to this edition are sections on connecting concepts, study tips, and exercises designed to foster intuitive problem so...show morelving. Bittinger teaches at Indiana University; Ellenbogen at Community College of Vermont. ...show less
Hardcover Fine 0321557182 Like New copy, without any marks or highlights. has shelf wear on covers. This is Student US Edition. Same day shipping with free tracking number. Expedited shipping avail...show moreable. A+ Customer Service! ...show less
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books.google.com introduction to the foundations and fundamental concepts of mathematics
From inside the book
LibraryThing Review
User Review - LibraryThing
This is an excellent book tracing the history of deductive procedures and key concepts relevant to the foundation of modern mathematics, specific focus on deductive axiomatics and the utility of generality. The book starts with babylonian and egyptian empirical mathematics which were based upon experience and induction, contrast them to deduction, and then moves onto material axiomatics and Euclids elements. Next we encounter non-euclidiean geometry as a shaking up in the foundations of math, and then we encounter generalizations of geometry and hilberts axiomatic treatment of geometry. Following this we get an introduction to algebraic structure with comments on algebra before it was realized that the laws of "normal" algebra could be dropped (eg: commutation) -- called here "the liberation of algebra, analagous to the liberation of geometry (dropping the parallel postulate) -- to give way to new (and useful) structures such as Hamilton's Quaternions, and Caley's Matrices. Fields, and ordered fields are presented. Groups are presented along with their utility to geometry. In the problems you can get introduced to other structures as well, such as rings. Next up we get a full statement of the formal axiomatic method and it's importance to pure mathematics. Pure mathematics is contrasted to applied mathematics which in this view is verifying concrete models or interpretations of a pure systems. Illuminatings examples are given. Finally in the last three chapters you see an overview of how to construct the real numbers based on the smaller axiom set of the naturals following a chain of definitional introductions naturals => integers => rationals => reals => complex numbers and what this means for the foundations of math. Then you get a brief intro to set theory and logic along discussions on some of the philosophic issues. Splendid book. You can read this with no background whatsoever and you will come away having learned many important concepts and notions which will serve you very well if you continue to take the path of exploring the world of mathematics. |
״This text provides the students with simple "cookbook" recipes for solving problems they might face in their studies of...
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״This text provides the students with simple "cookbook" recipes for solving problems they might face in their studies of economics. Since the target audience was supposed to have some mathematical background (admittance to the program requires at least BA level mathematics), the main goal was to refresh students' knowledge of mathematics rather than teach them math "from scratch״.״This course is designed to provide the student with a simple and straightforward introduction to econometrics. Econometrics...
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This course is designed to provide the student with a simple and straightforward introduction to econometrics. Econometrics is a set of research tools employed in the business disciplines of accounting, finance, marketing, and management. It is also used by social scientists, specifically researchers in history, political science, and sociology, and it even plays an important role in such diverse fields as forestry and agricultural economics. Studying econometrics will help the student transition from being a student of economics to a practicing economist. By taking this course, the student will gain an overview of what econometrics is about and develop some "intuition" about how things work. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Economics 203, Mathematics 301)
This is a free, online textbook that is available as a pdf. "This book is intended to serve as the textbook for a rst-year...
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This is a free, online textbook that is available as a pdf. "This book is intended to serve as the textbook for a rst-year graduate course in econometrics. It can be used as a stand-alone text, or be used as a supplement to another text. Students are assumed to have an understanding of multivariate calculus, probability theory, linear algebra, and mathematical statistics. A prior course in undergraduate econometrics would be helpful, but not required.״
This is a free online textbook offered by BookBoon.״This is a short, focused text, considering a range of methods, issues and...
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This is a free online textbook offered by BookBoon.״This is a short, focused text, considering a range of methods, issues and concepts in management decision making. Written from the perspective of a student/manager unfamiliar and/or uncomfortable with mathematics, the text considers a range of established decision making methods and presents them in the context of a need to develop an inclusive and integrated view of decision analysis in management.״
This is a free textbook offered by BookBoon.'If you're at high school, college or university, you'll almost certainly need to...
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This is a free textbook offered by BookBoon.'This book provides a compendium of selected important topics covered in any...
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This is a free textbook offered by BookBoon.'This book provides a compendium of selected important topics covered in any finance course. The main subject on time value of money and its computational application are explained and demonstrated. This follows other subjects as cost of capital, capital budgeting and securities valuation that used time value factor in their computational analysis.For students it complements the textbooks recommended by lecturers because it serves as an easy guide in financial mathematics and other selected topics in finance. These topics usually found in a course such as financial management or managerial finance at the diploma and undergraduate levels.'The 'book also covers topics associated with interest rates in particular financial derivatives and securities valuation. There is also a topic on discounted cash flow analysis, which covers cash flow recognition and asset replacement analysis. Both financial mathematics and interest rate are two main elements involved in the computational aspect of these two financial analyses.'
This is a free online textbook offered by Saylor Foundation.International Economics: Theory and Policy is built on Steve...
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This is a free online textbook offered by Saylor Foundation.International So, if you are looking for an International Economics text that will prepare your PhD students while promoting serious comprehension for the non-economics major, Steve Suranovic's International Economics: Theory and Policy is for you. International Economics: Theory and Policy presents numerous models in some detail; not by employing advanced mathematics, but rather by walking students through a detailed description of how a model's assumptions influence its conclusions. Then, students learn how the models connect with the real world. Steve's book covers positive economics to help answer the normative questions; for example, what should a country do about trade policy, or about exchange rate policy? The results from models give students insights that help us answer these questions. Thus, this text strives to explain why each model is interesting by connecting its results to some aspect of a current policy issue. This text eliminates some needlessly difficult material while adding and elaborating on other principles. For example, the development of the relative supply/demand structure, or the presentation of offer curves, are omitted as to not go too deeply into topics that tend to confuse many students at this level. Steve developed new approaches in this text including a simple way to present the Jones' magnification effects, a systematic method to teach the theory of the second best, and a unique description of valid reasons to worry about trade deficits. These new approaches help students learn the concepts and models and derive conclusions from them. If you like to take a comprehensive look at trade policies, be sure to check out the chapter on Trade Policy (7). It provides a comprehensive look at many more trade policies than are found in many of the printed textbooks on the market today. International Economics: Theory and Policy by Steve Suranovic is intended for use in a full semester trade course, a full semester finance course, or a one semester trade/finance course.
International Finance Theory and Policy is built on Steve Suranovic's belief that to understand the international economy, ...
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The.
'International Finance Theory and Policy is built on Steve Suranovic's belief that to understand the international economy,...
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'The.' |
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This course is designed to provide a review of basic mathematic skills related to dosage calculations, a thorough knowledge of the systems of measurement and conversion, and application skills to perform dosage calculations. |
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Political science and sociology increasingly rely on mathematical modeling and sophisticated data analysis, and many graduate programs in these fields now require students to take a "math camp" or a semester-long or yearlong course to acquire the necessary skills. Available textbooks are written for mathematics or economics majors, and fail to convey to students of political science and sociology the reasons for learning often-abstract mathematical concepts. A Mathematics Course for Political and Social Research fills this gap, providing both a primer for math novices in the social sciences and a handy reference for seasoned researchers.
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BASIC SKILLS IN MATHEMATICS: A SURVEY TOM DENMARK Florida State University HENRY S. KEPNER, JR. University of Wisconsin-Milwaukee Historians will undoubtedly refer to the period of American education that
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THE BASICSURVEYING METHODS 2.1 LEARNING OBJECTIVES At the end of this chapter, students will be able to: 1. Identify and state the different types of surveying 2. Describe different surveying applications 3. Apply measurement of distances and angles
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MATH 112 - Elementary Algebra II
at Cañada College
for Summer 2013 (CRN : 54194)
This course is offered online and it is recommended you complete a short self-assessment to ensure readiness before taking an online course. Most Mathematics courses have prerequisites that are listed as part of the course description in the Schedule of Classes. Before registering for a Mathematics course, be sure you have completed the stated prerequisite.
Note to all Algebra students:
The Math Department uses a single textbook for the Elementary and Intermediate Algebra sequence. This allows students to complete the Algebra sequence in three different ways: a four semester sequence of MATH 111, 112, 122, and 123 each covering one fourth of the book; a two semester sequence of MATH 110 and MATH 120 each covering half of the book; or a combination of the above. Please see your counselor to be sure you take the correct course.
Description: This course is equivalent to the second half of MATH 110 and is a continuation of MATH 111. Topics include integer exponents, polynomials, factoring, proportions, and rational expressions. Students who complete this course with a C or better are advised to enroll in MATH 122. Units do not apply toward AA/AS degree. |
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More About
This Book
you need to know to excel in Algebra I and II.
Bob Miller was a lecturer in mathematics at City College of New York for more than 30 years. The author of seven "Clueless" instructional books, he is now much in-demand as a mathematics tutor 6, 2006
Math Made Easy!
Bob Miller takes very difficult concepts and makes them extremely easy to grasp. It is the one math book that will not make you tear your hair out of your head! The author uses a bit of humor and emotion to make math understandable to the average layman. The books are meant to be a supplement to whatever math text you are using. After Bob explains the concepts you will breeze through your textbook's examples. A great book at a great price!
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Anonymous
Posted May 24, 2004
Good book-Lacks examples
This book is very helpful. I have been away from Algebra for many years and picked it up again easily with this book. Needs more examples/exercises.
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Anonymous
Posted May 15, 2001
great read of a boring subject
OK, you arent going to find a lot of exercises here. But you will find many many examples of almost all algebraic equations. For the first time algebra is making sense to me! Bob may have a few grammatical errors in his book, but the book is clear and straightforward no esoteric mumbo jumbo like they teach in college. All in all a great read!!
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Anonymous
Posted August 17, 2000
It helped me prepare
I enjoyed this step by step through algebra book. It helped me freshen up my skills for going back to school after years off. Didn't care about the grammarical errors as long as the mathematical steps were correct that is all I cared about. I plan on getting his calculus and geometry books too!
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Students who successfully complete undergraduate degrees offered by the Department of mathematics and Statistics at the University of Nebraska at Kearney should be able to demonstrate an understanding and ability to apply the concepts and processes of mathematics and statistics in a variety of careers in government and business, in secondary school teaching, in graduate study, and with proper planning, in a variety of professional programs. In addition, graduates will develop an understanding of the importance and scope of professional ethics and play active and ethical roles as participants and leaders in industry, education, graduate schools and society.
Student Learning Objectives
Demonstrate an understanding of and be able to apply the processes of Mathematics and statistics including being able to:
Use problem-solving approaches to investigate and understand mathematical content.
Formulate and solve problems from mathematics and statistics and everyday situations.
Communicate mathematical and statistical ideas orally and in writing using everyday language, mathematical and statistical language, symbols, and graphs.
Make mathematical and statistical conjectures, evaluate arguments and validate mathematical and statistical thinking.
Examine relationships within mathematics and statistics.
Connect mathematics and statistics to other disciplines and real-world situations.
Use technology in exploration, computation, graphing, and problem solving.
Use instructional strategies based on current research as well as national, state, and local standards relating to mathematics and statistics instruction.
Demonstrate an understanding of and be able to apply the concepts and principles of mathematics and statistics , including being able to:
Apply concepts of number, number theory, and number systems.
Apply numerical computation and estimation techniques and extend them to algebraic expressions.
Use geometric concepts and relationships to describe and model mathematical ideas and real-world constructs.
Use both descriptive and inferential statistics to analyze data, make predictions, and make decisions.
Demonstrate an understanding of the concepts of theoretical and and simulated probability and apply them to real-world situations.
Use algebra to describe patterns, relations, and functions and to model and solve problems.
Demonstrate an understanding of the concepts of limit, continuity, differentiation, and integration, and the techniques and applications of calculus.
Recognize the roles of axiomatic systems and proofs in different branches of mathematics, such as algebra and geometry.
Demonstrate an understanding of the concepts and applications of discrete mathematics such as graph theory, matrices, recurrence relations, linear programming, difference equations, and combinatorics.
Use mathematical modeling to solve problems from other fields such as natural sciences, social sciences, business, and engineering.
Demonstrate an understanding of and be able to apply the major Concepts of geometry.
Demonstrate an understanding of and be able to apply the major concepts of linear algebra.
Demonstrate an understanding of and be able to apply the major concepts of abstract algebra.
Demonstrate an understanding of the historical development in mathematics that includes the contributions of underrepresented groups and diverse cultures.
Demonstrate knowledge and an understanding of and be able to teach the concepts, skills, and processes of mathematics and statistics as defined in the Nebraska Content Standards for grades K - 12. |
Product Description
Grades 7-10. A dynamic curricular pathway to ensuring success in algebra! Based on recent research on the adolescent brain, this book presents a living, working example of how teachers can use active learning techniques to make linear relationships more meaningful for students. In addition to the 10 reproducible, sequenced lessons, this resource offers 7 chapters of guidance in teaching algebra, from using graphing calculators to managing the classroom. This resource also provides connections to NCTM's Principles and Standards for School Mathematics. Includes comprehensive coverage of: active learning strategies, mental math, student presentations, graphing calculators, classroom management and discipline, authentic classroom experiences, and brain research and mathematics. 192 pages. Includes a CD-ROM with 10 reproducible lessons.
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United States may be charged additional distributor, customs, and shipping charges. |
Power Practice AlgebraOver 100 Reproducible Activities to Sharpen Basic Skills The activities in Algebra provide the perfect practice with |
This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the...
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This is a free textbook offered by BookBoon.'The success of Group Theory is impressive and extraordinary. It is, perhaps, the most powerful and influential branch of all Mathematics. Its influence is strongly felt in almost all scientific and artistic disciplines (in Music, in particular) and in Mathematics itself. Group Theory extracts the essential characteristics of diverse situations in which some type of symmetry or transformation appears. Given a non-empty set, a binary operation is defined on it such that certain axioms hold, that is, it possesses a structure (the group structure). The concept of structure, and the concepts related to structure such as isomorphism, play a decisive role in modern Mathematics.The general theory of structures is a powerful tool. Whenever someone proves that his objects of study satisfy the axioms of a certain structure, he immediately obtains all the valid results of the theory for his objects. There is no need to prove each one of the results in particular. Indeed, it can be said that the structures allow the classification of the different branches of Mathematics (or even the different objects in Music (! )).The present text is based on the book in Spanish "Teoría de Grupos: un primer curso" by Emilio Lluis-Puebla, published by the Sociedad Matemática Mexicana This new text contains the material that corresponds to a course on the subject that is offered in the Mathematics Department of the Facultad de Ciencias of the Universidad Nacional Autónoma de México plus optional introductory material for a basic course on Mathematical Music Theory.This text follows the approach of other texts by Emilio Lluis-Puebla on Linear Algebra and Homological Algebra. A modern presentation is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, among other disciplines, is introduced.This work consists of four chapters. Each section contains a series of problems that can be solved with creativity by using the content that is presented there; these problems form a fundamental part of the text. They also are designed with the objective of reinforcing students' mathematical writing. Throughout the first three chapters, representative examples (that are not numbered) of applications of Group Theory to Mathematical Music Theory are included for students who already have some knowledge of Music Theory.In chapter 4, elaborated by Mariana Montiel, the application of Group Theory to Music Theory is presented in detail. Some basic aspects of Mathematical Music Theory are explained and, in the process, some essential elements of both areas are given to readers with different backgrounds. For this reason, the examples follow from some of the outstanding theoretical aspects of the previous chapters; the musical terms are introduced as they are needed so that a reader without musical background can understand the essence of how Group Theory is used to explain certain pre-established musical relations. On the other hand, for the reader with knowledge of Music Theory only, this chapter provides concrete elements, as well as motivation, to begin to understand Group Theory.'
'The inaugural online presentation of the Aaron Copland Collection at the Library of Congress celebrates the centennial of...
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'The inaugural online presentation of the Aaron Copland Collection at the Library of Congress celebrates the centennial of the birth of the American composer Aaron Copland (1900-1990). The multiformat Aaron Copland Collection from which the online collection derives spans the years 1910 to 1990 and includes approximately 400,000 items documenting the multifaceted life of an extraordinary person who was composer, performer, teacher, writer, conductor, commentator, and administrator. It comprises both manuscript and printed music, personal and business correspondence, diaries, writings, scrapbooks, programs, newspaper and magazine clippings, photographs, awards, books, sound recordings, and motion pictures.The first release of the online collection contains approximately 1,000 items that yield a total of about 5,000 images. These items date from 1899 to 1981, with most from the 1920s through the 1950s, and were selected from Copland's music sketches, correspondence, writings and photographs.'
'Learning music theory? Don't go anywhere without this handy music reference from Wolfram--a world leader in technical...
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'Learning music theory? Don't go anywhere without this handy music reference from Wolfram--a world leader in technical software! Are you taking a basic course in music theory, just starting out in band, or learning an instrument? Now you can learn about notes, intervals, scales, and chords and even hear what they sound like!- Hear and view accidentals and octaves anywhere on the staff.- Choose from both common scales and hundreds of more advanced scales.- Explore triads and basic major, minor, and seventh chords.- Input up to four chords and hear their progression.- Learn how to identify music intervals by their name and what they sound like.- Find interval inversions for every interval type.- Reference musical terms like "andantino" and "solfa" in the abbreviated music dictionary.The Wolfram Music Theory Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education.'This app costs $1.99 |
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CK-12 Calculus
CK-12 Foundation's Single Variable Calculus FlexBook covers the following chapters: Functions, Limits, and Continuity - A review of the basics of functions is given.
Long Synopsis:
CK-12 Foundation's Single Variable Calculus FlexBook covers the following chapters: Functions, Limits, and Continuity - A review of the basics of functions is given. Students use linear approximations to study the limit process, before a more formal treatment of limits is given. Differentiation - Students explore instantaneous rate of change, and the relationship between continuity and differentiability. The Chain Rule and implicit differentiation are reviewed. Applications of Derivatives - Students gain practice with using the derivatives in related rates problems. Additional topics include The First Derivative Test, The Second Derivative Test, limits at infinity, optimization, and approximation errors. Integration - This chapter includes indefinite integrals calculus, initial value problems, definite integrals, the Fundamental Theorem of Calculus, integration by substitution, and numerical integration. Applications of Integration - This chapter includes applications of the definite integral, such as calculating areas between two curves, volumes, length of curves, and other real-world applications in physics and statistics. Transcendental Functions - This chapter includes differentiation and integration of logarithmic and exponential functions, exponential growth and decay, derivatives and integrals involving inverse trigonometric functions, and L'Hospital's Rule. Integration Techniques - Students explore integration by substitution, integration by parts, integration by partial fractions, trigonometric integrals, trigonometric substitutions, and improper integrals. Infinite Series - This chapter introduces the study of sequences and infinite series. The properties presented describe the behavior of a sequence or series, including whether a sequence approaches a number or an infinite series adds to a number |
books.google.it - This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate... Analysis
Numerical Analysis: Mathematics of Scientific Computing
This book introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. The subject of numerical analysis is treated from a mathematical point of view, offering a complete analysis of methods for scientific computing with appropriate motivations and careful proofs. In an engaging and informal style, the authors demonstrate that many computational procedures and intriguing questions of computer science arise from theorems and proofs. Algorithms are presented in pseudocode, so that students can immediately write computer programs in standard languages or use interactive mathematical software packages. This book occasionally touches upon more advanced topics that are not usually contained in standard textbooks at this level.
Valutazioni degli utenti
Review: Numerical Analysis: Mathematics of Scientific Computing
Recensione dell'utente - Goodreads
how to read it
Review: Numerical Analysis: Mathematics of Scientific Computing
Recensione dell'utente - Joecolelife - Goodreads
I think this book is lucently written and explains various aspects of numerical analysis in great detail. The proofs are stated in an understandable way and algorithms are presented clearly and in such a way that it is easy to implement them in the programming language of one's choice.Leggi recensione completa
Informazioni sull'autore (2002)
Kincaid is the recently retired Director of the Bartlett School of Graduate Studies at University College London. Prior to his academic career he was variously London Regional Property Manager for IBM, a member of the Visitors Board of the Building Research Establishment, and Associate Director of Symonds Facilities Management, and Chief Engineer for Drake and Scull Engineering in London. |
Abstract Mathematics
This is a book about mathematics and mathematical thinking. It is intended for the serious learner who is interested in studying some deductive ...Show synopsisThis is a book about mathematics and mathematical thinking. It is intended for the serious learner who is interested in studying some deductive strategies in the context of a variety of elementary mathematical situations. No background beyond single-variable calculus is presumed.Hide synopsis
Description:with equations. Very Good Plus. Owner's name. A near fine, tight...with equations. Very Good Plus. Owner's name. A near fine, tight, bright copy. 4 lines are underlined. The text is flawless. Green cloth with gilt lettering and decoration.
Description:Good. Introduction to Abstract Mathematics. This book is in Good...Good. Introduction to Abstract Mathematics Edge wear at the spine and corners; |
Conference sections: general theory of boundary value problems; nonlinear boundary value problems; operator methods; mathematical physics; ordinary differential equations and dynamic systems; applications of differential equations. The word "young" in the title means a general direction of the conference and its mathematical school form but doesn't mean any age limitations for the participants.
Official languages: English, Ukrainian, Russian. Programm committee: B.V.Bazaliy,Yu.M.Berezanskii,V.P.Burskii,Ya.M.Dymarskii,G.Eskin, M.L.Gorbachuk,E.Ya.Khruslov,V.A.Ilyin,M.I.Ivanchov,N.D.Kopachevsky,A.M.Kovalev,A.A.Kovalevskii,A.I.Kozhanov,E.I.Moiseev,L.Nirenberg, B.Yo.Ptashnyk,V.V. Puhnachev,F.S.Rofe-Beketov,A.M.Samoilenko,A.P.Soldatov,V.I.Storozhev,N.N.Uraltseva,M.Yo.Vishik,A.E.Shishkov,V.V.Zharinov. |
Description
Technical Math For Dummies is your one-stop, hands-on guide to acing the math courses you'll encounter as you work toward getting your degree, certifacation, or license in the skilled trades.
You'll get easy-to-follow, plain-English guidance on mathematical formulas and methods that professionals use every day in the automotive, health, construction, licensed trades, maintenance, and other trades. You'll learn how to apply concepts of algebra, geometry, and trigonometry and their formulas related to occupational areas of study. Plus, you'll find out how to perform basic arithmetic operations and solve word problems as they're applied to specific trades.
Maps to a course commonly required by vocational schools, community and technical college, or for certification in the skilled trades
Covers the basic concepts of arithmetic, algebra, geometry, and trigonometry
Helps professionals keep pace with job demands
Whether you're a student currently enrolled in a program or a professional who is already in the work force, Technical Math For Dummies gives you everything you need to improve your math skills and get ahead of the packBarry Schoenborn is a technical writer who has worked in many of the trades described in the book.
Bradley Simkins has taught numerous classes and tutored at the Multimedia Math Learning Center at American River College in Sacramento |
Algebra: A Self-Teaching Guide
With a "learn-by-doing" approach, it reviews and teaches elementary and some intermediate algebra. While rigorous enough to be used as a college or ...Show synopsisWith a "learn-by-doing" approach, it reviews and teaches elementary and some intermediate algebra. While rigorous enough to be used as a college or high school text, the format is reader friendly, particularly in this Second Edition, and clear enough to be used for self-study in a non-classroom environment. "Pre-test" material enables readers to target problem areas quickly and skip areas that are already well understood. Some new material has been added to the Second Edition and redundant or confusing material omitted. The first chapter has undergone major revision. Chapters feature "post-tests" for self-evaluation. Thousands of practice problems, questions and answers make this algebra review a unique and practical text471530123 Good condition. Cover is bent or curled from...Good. 0471530123 Good condition. Cover is bent or curled from use. Has writing throughout book. Partially filled out. We ship fast |
... read moreA Mathematical History of the Golden Number by Roger Herz-Fischler This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.
Number Theory by George E. Andrews Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more
Elementary Number Theory: Second Edition by Underwood Dudley Written in a lively, engaging style by the author of popular mathematics books, this volume features nearly 1,000 imaginative exercises and problems. Some solutions included. 1978 edition.
Number Theory and Its History by Oystein Ore A prominent mathematician presents the principal ideas and methods of number theory within a historical and cultural framework. Fascinating, accessible coverage of prime numbers, Aliquot parts, linear indeterminate problems, congruences, Euler's theorem, and more.
Advanced Number Theory by Harvey Cohn Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, and theories have evolved during last two centuries. Features over 200 problems and specific theorems. Includes numerous graphs and tables.
An Adventurer's Guide to Number Theory by Richard Friedberg This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
A Course in Algebraic Number Theory by Robert B. Ash Graduate-level course covers the general theory of factorization of ideals in Dedekind domains, the use of Kummer's theorem, proofs of the Dirichlet unit theorem, and Minkowski bounds on element and ideal norms. 2003 edition.
Elementary Number Theory: An Algebraic Approach by Ethan D. Bolker This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and more.
Fundamentals of Number Theory by William J. LeVeque Basic treatment, incorporating language of abstract algebra and a history of the discipline. Unique factorization and the GCD, quadratic residues, sums of squares, much more. Numerous problems. Bibliography. 1977 edition.
Three Pearls of Number Theory by A. Y. Khinchin These 3 puzzles require proof of a basic law governing the world of numbers. Features van der Waerden's theorem, the Landau-Schnirelmann hypothesis and Mann's theorem, and a solution to Waring's problem. Solutions included.
Topics in Number Theory, Volumes I and II by William J. LeVeque Classic 2-part work now available in a single volume. Contents range from chapters on binary quadratic forms to the Thue-Siegel-Roth Theorem and the Prime Number Theorem. Includes problems and solutions. 1956 edition.
Continued Fractions by A. Ya. Khinchin Elementary-level text by noted Soviet mathematician offers superb introduction to positive-integral elements of theory of continued fractions. Properties of the apparatus, representation of numbers by continued fractions, and more. 1964 edition Geometry of Art and Life by Matila Ghyka This classic study probes the geometric interrelationships between art and life in dissertations by Plato, Pythagoras, and Archimedes and examples of modern architecture and art. 80 plates and 64 figuresTaxicab Geometry: An Adventure in Non-Euclidean Geometry by Eugene F. Krause Fascinating, accessible introduction to unusual mathematical system in which distance is not measured by straight lines. Illustrated topics include applications to urban geography and comparisons to Euclidean geometry. Selected answers to problems.
Product Description:
" rectangle, in which the lengths of the sides can be expressed as a ration of two successive Fibonacci numbers, draws upon attempts by ancient and medieval thinkers to base aesthetic and philosophical principles on the beauty of these figures. Recreational readers as well as students and teachers will appreciate this light and entertaining treatment of a classic puzzle |
Discrete Mathematics for Teachers
9781617350269
ISBN:
1617350265
Pub Date: 2010 Publisher: Information Age Publishing, Incorporated
Summary: Wheeler, Ed is the author of Discrete Mathematics for Teachers, published 2010 under ISBN 9781617350269 and 1617350265. Seven hundred twelve Discrete Mathematics for Teachers textbooks are available for sale on ValoreBooks.com, one hundred eleven used from the cheapest price of $38.20, or buy new starting at $52.81This item is printed on demand. Discrete Mathematics for Teachers is a text designed to fill this void. The topic is right. Discrete mathematics provides a rich and varied so [more]
This item is printed on demand. Discrete Mathematics for Teachers is a text designed to fill this void. The topic is right. Discrete mathematics provides a rich and varied source of problems for exploration and communication, expands knowledge of mathema.[less] |
Summary: James meticulou...show mores accuracy, patient explanations, and carefully graded problems. The content has been refined and the examples and exercises have been updated. In CALCULUS: CONCEPTS AND CONTEXTS, this well respected author emphasizes conceptual understanding - motivating students with real world applications and stressing the Rule of Four in numerical, visual, algebraic, and verbal interpretations. All concepts are presented in the classic Stewart style: with simplicity, character, and attention to detail. In addition to his clear exposition, Stewart also creates well thought-out problems and exercises. The definitions are precise and the problems create an ideal balance between conceptual understanding and algebraic skills. ...show less
James meticulous accuracy, patient explanations, and carefully graded problems.
Other Editions of Calculus : Concepts and Contexts Single Variable -Text Only:
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What do you realise when you look at the answers of these two tables?1.10.5: using a calculator.
Learning Outcome 2: The learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
Assessment Standard 2.3: We know this when the learner determines output values for given input values, or input values for given output values, using |
ISBN: 0140130349
Description
An introduction to mathematics which starts with simple arithmetic and algebra and proceeds through to graphs, logarithms, trigonometry to calculus and imaginary numbers. The author, who is internationally renowned for his innovative teaching methods, offers insights into the pleasures of mathematics that will appeal to readers of all backgroundsMathematicians Delight |
Excursions in Modern Mathematics -Std. Resource Gd - 7th edition
Summary: In addition to the worked-out solutions to odd-numbered exercises from the text, this guide contains selected hints that point the reader in one of many directions leading to a solution and keys to student success, including lists of skills that will help prepare for the chapter exams |
chaum's Outline of College Algebra
Includes more than 1,900 solved problems, examples, and practice exercises to sharpen your problem-solving skills of algebra.Includes more than 1,900 solved problems, examples, and practice exercises to sharpen your problem-solving skills of algebra |
The study of Mathematics has been a fundamental part of education since ancient times and has lost none of its relevance in modern times. In fact, much the contrary. Mathematics permeates our lives, enables us to communicate across vast distances, shrinks our technology to the palm of our hands, and opens up more and more of the nature of the world to our investigations.
We understand full well that many of our students come to use with little of this sense of wonder, rather with a sense of fear and apprehension.
We strive constantly to meet our students where they are, bring them into a new relationship with mathematics, and open up the possibilities of mathematics for them and for their careers.
Math
Mission
The Mission of the Mathematics department is to promote a positive attitude in our students towards mathematics, to develop mathematical habits of mind and to equip our students with sufficient expertise in mathematics to function effectively in society and in their careers. Our dynamic course offerings are designed to meet the needs of the various University majors and to address social and environmental challenges.
Learning Outcomes
The Learning Outcomes of the Mathematics department express the kinds of things (abilities, knowledges, and values) that students can expect to be taught and to learn in the Mathematics department and its courses. At the end of their course of study, students will be able to:
Demonstrate mastery in basic math skills
Communicate mathematical concepts in three representations; written, symbolic and graphic
Effectively incorporate concepts from one math course into another math course
Apply math across the curriculum by effectively analyzing, formulating, and solving problems within their disciplines. |
This curriculum project is designed to supplement the New York State seventh and eighth grade American history social studies course with active learning strategies. Three strategies including simulations, reenactments, ...
Math Anxiety is a term used to describe the anxious symptoms felt by those who suffer from it while confronted with mathematics. This study investigated the levels of math anxiety experienced by college students. It was ... |
This is a free, online textbook/course that provides introductory information for math students. "This unit has two aims:...
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This is a free, online textbook/course that provides introductory information for math students. "This unit has two aims: firstly, to help you read and interpret information in the form of diagrams, charts and graphs, and secondly, to give you practice in producing such diagrams yourself. To start you will deal with interpreting and drawing diagrams to a particular scale. You will then learn to extract information from tables and charts. Finally you will learn to draw graphs using coordinate axes, which is a very important mathematical technique.״
This is a free, online textbook/course that provides information on conducting empirical research. The site includes written...
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This is a free, online textbook/course that provides information on conducting empirical research. The site includes written material as well as videos. According to the authors, "This course includes self-guiding materials and activities, and is ideal for independent learners, or instructors trying out this course package.״
This is a free online course offered by the Saylor Foundation.'The courses included in this program are designed for the high...
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This is a free online course offered by the Saylor Foundation.'The courses included in this program are designed for the high school student preparing for college or the adult learner who needs a refresher course or two in mathematics..'
This 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 Summer Semester "the World of Mathematics״Mathematics has the history of more than 2,000 years. It is the field still...
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2007 Summer Semester "the World of Mathematics״Mathematics has the history of more than 2,000 years. It is the field still studied actively today, and developments are made rapidly in. Profound nature of numbers and figures, structures of functions and spaces are discovered one after another, and now, Fermat's last theorem, which had been the mystery of 350 years, or Poincare conjecture left pending for 100 years are solved. Recent proceedings of mathematics is quite spectacular. Also, since it allows free thinking and has a wide versatility, mathematics is applied to fundamental science, engineering, economics, sociology, and other disciplines as the common language of science. Sometimes, mathematics has the power to change all over the sociey, as it did when the principle of computer was discovered. Mathematics cannot be divided artificially. However, we are accustomed to, for the sake of convenience, separate it into four fields; algebra, geometry, analysis and applied mathematics. Plus, mathematical science includes mathematics for practical applications to analyze natural and social phenomena In this lecture series, themes characteristic to each fields are discussed by the experts working internationally. They navigate you for your further studies, by focusing mathematics from a wide perspective. Mathematics students learn in the first and second grade would be the basis of further studies. These lectures are expected to provide you with an outlook for the future.
This course introduces the basic techniques of demographic analysis. Students will become familiar with the sources of data...
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This This course was developed by JHSPH faculty with the generous support of the Andrew W. Mellon Foundation and the Bill and Melinda Gates Foundation. Qualified educators may order this course and others on CD-ROM from the Bill and Melinda Gates Instiute for Population and Reproductive Health .
This is a free online course offered by the Saylor Foundation.'The main purpose of this course is to bridge the gap between...
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This is a free online course offered by the Saylor Foundation.'The main purpose of this course is to bridge the gap between introductory mathematics courses in algebra, linear algebra, and calculus on one hand and advanced courses like mathematical analysis and abstract algebra, on the other hand, which typically require students to provide proofs of propositions and theorems. Another purpose is to pose interesting problems that require you to learn how to manipulate the fundamental objects of mathematics: sets, functions, sequences, and relations. The topics discussed in this course are the following: mathematical puzzles, propositional logic, predicate logic, elementary set theory, elementary number theory, and principles of counting. The most important aspect of this course is that you will learn what it means to prove a mathematical proposition. We accomplish this by putting you in an environment with mathematical objects whose structure is rich enough to have interesting propositions. The environments we use are propositions and predicates, finite sets and relations, integers, fractions and rational numbers, and infinite sets. Each topic in this course is standard except the first one, puzzles. There are several reasons for including puzzles. First and foremost, a challenging puzzle can be a microcosm of mathematical development. A great puzzle is like a laboratory for proving propositions. The puzzler initially feels the tension that comes from not knowing how to start just as the mathematician feels when first investigating a topic or trying to solve a problem. The mathematician"plays" with the topic or problem, developing conjectures which he/she then tests in some special cases. Similarly, the puzzler "plays" with the puzzle. Sometimes the conjectures turn out to be provable, but often they do not, and the mathematician goes back to playing. At some stage, the puzzler (mathematician) develops sufficient sense of the structure and only then can he begin to build the solution (prove the theorem). This multi-step process is perfectly mirrored in solving the KenKen problems this course presents. Some aspects of the solutions motivate ideas you will encounter later in the course. For example, modular congruence is a standard topic in number theory, and it is also useful in solving some KenKen problems. Another reason for including puzzles is to foster creativity.'
This is a free, online textbook/course that "provides a rigorous presentation of the syntax and semantics of sentential and...
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This is a free, online textbook/course that "provides a rigorous presentation of the syntax and semantics of sentential and predicate logic. The distinctive emphasis is on strategic argumentation.״ It "includes self-guiding materials and activities, and is ideal for independent learners, or instructors trying out this course package.״
Course HighlightsMath I is a mandatory course for students specializing in natural sciences in Junior Divisions (1st & 2nd...
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Course HighlightsMath I is a mandatory course for students specializing in natural sciences in Junior Divisions (1st & 2nd years) of the College of Arts and Sciences. Math I is offered in "Math IA" and "Math IB". Both classes cover almost the same content although Math IA focuses on theoretical aspects while Math IB emphasizes in practical computation.In Math I, students learn differential and integral calculus to acquire basic knowledge on differential and integral required for university-level study. Thus, differential and integral of high-school mathematics are prerequisite for taking this course. |
This learning object from Wisc-Online covers simplifying algebraic expressions using division. The unit's activities include defining the terminology associated with algebraic operations, using the fundamental laws of...
This learning object from Wisc-Online covers the fundamental laws of algebra. The interactive activity includes slides which cover the following topics: the commutative, associative and distributive laws as applied to...
This learning object from Wisc-Online covers simplifying algebraic expressions using multiplication. The unit's activities include defining the terminology associated with algebraic operations, using the fundamental...
This lesson from Illuminations asks students to use matrix multiplication to transform digital images. Students will use matrix multiplication skills, look at the connections between geometric transformations and matrix... |
Full course description
Come join us on a fascinating journey through college algebra. Along the way we will meet Fibonacci, Omar Khayyam, Hypatia of Alexandria, and other people connected to the topics we cover. As our journey takes us to Toledo, Spain; Alexandria, Egypt; and other interesting places, we connect our studies to The Da Vinci Code, the Mona Lisa, the human cannonball, and other things that, at first glance, may not seem connected to mathematics, but in fact are well connected.
Pat McKeague
Mathematics Instructor
Pat McKeague earned his B.A. in Mathematics from California State University, Northridge and his M.S. in Mathematics from BYU. He has been involved in mathematics education for over 35 years, both as an instructor, and as a textbook author. He has written more than 20 textbooks. He is very active in the mathematics community, speaking at regional and national mathematics conferences throughout the year. He was on the writing team for the American Mathematics Association for Two-Year College (AMATYC) Beyond Crossroads project, which set the standards for mathematics instruction at the two-year college. In 2007 he was awarded the AMATYC Presidential Award for his service to the two-year college mathematics community. Three years ago he started his own publishing company, XYZ Textbooks, with the goal of lowering the cost of mathematics textbooks for community college students. IN HIS OWN WORDS: I have had a wonderful, varied teaching career, from teaching elementary school classes, all the way through to freshman calculus at the university. I am best suited to community college teaching. My heart is in the developmental mathematics courses. Don't get me wrong, I love to teach calculus, but I identify more closely with the developmental math students, and I think I am more effective there. Throughout my career I have been extremely lucky to have students that always impressed me with their willingness to improve their position in life through education. |
Beginning Algebra (hardcover) with MathZoneMiller/O'Neill Beginning Algebra is an insightful text written by instructors who have first-hand experience with students of developmental mathematics.The authors have placed an emphasis on graphing, by including special sections called, "Connections to Graphing" at the end of Chapters 1-5, before the formal presentation of Graphing appears in Chapter 6. The "Connections to Graphing" sections may be considered optional for those instructors who do not prefer an early introduction to graphing. For those who do prefer graphing early, instructors can use the "Connections to Graphing" sections together where they prefer to introduce graphing.A section on geometry appears in "Chapter R" for instructors who look for such content in Beginning Algebra. Applications that incorporate geometric concepts may also be found throughout the text.Chapter R also contains a section on study skills. This section provides easy to digest tips (in list format) for course success.The authors have crafted the exercise sets with the idea of infusing review. In each set of practice exercises, instructors will find a set of exercises that help students to review concepts previously learned, and in this way, students will retain more of what they have learned.The exercise sets also contain "translation" exercises which provide students with an opportunity to convert from English phrases to mathematical symbols and from mathematical symbols to English phrases, thus helping students to strengthen their command of mathematical language.Moreover, the applications found in the exercise sets are based on real-world data, which helps to promote students' interest in mathematics, and in turn, may serve to motivate and engage them more effectively.Other features include mid-chapter reviews and classroom activities. The classroom activities are of special value, in that through their use, students may begin to take greater ownership over their learning. The classroom activities were designed to be quick activities students could perform in class (either individually, or collaboratively in groups).In short, the Miller/O'Neill Beginning Algebra text offers enriching applications, a high level of readability, and excellent opportunities for students to become actively engaged in their exploration of mathematics. |
MathGrapher is a stand-out graphing tool designed for students, scientists and engineers. Visitors can read the Introduction to get started, as it contains information about the various functions that the tool can...
This site from Northern Illinois University provides online notes for students using the Abstract Algebra textbook (which is also available online). The materials cover the topics of integers, functions, groups,...
This algebra lesson from Illuminations has students collect data for rolling objects of differing sizes in order to further understand periodic phenomena. They will then create two sinusoidal graphs of the data....
This algebra lesson helps students make the connection between functions and their graphs. The model of the level of water in a bathtub is used. Students will watch the graph and a chart of the depth of the water at...
This course, presented by MIT and taught by Professor David Jerison, provides undergraduate level calculus instruction. The materials cover differentiation and integration of functions of one variable, with... |
Precalculus: Mathematics for Calculus
9780840068071
ISBN:
0840068077
Edition: 6 Pub Date: 2011 Publisher: Brooks Cole
Summary: Designed to give students a background in mathematics theory and introduce them to mathematics concepts this textbook is comprehensive without being daunting. Students are introduced to modelling and problem solving and they are given a rigorous workout on what they have learned as they work through the book. It has many graphs that chart mathematical ideas that students can assimilate with ease. It is written in a c...lear and readable style that will aid comprehension and enjoyment. This is just one of the many cheap math textbooks we have available for students to acquire in great condition.[read more |
Find a Hillside, NJ PrecalculusOnce you get passed the Greek symbol the rest of the literal equation uses letters from the American alphabet. The formula articulates transcendentalism and impact. When a person solves real world problems impact is determined, next mapping is realized and finally propagation takes place. |
Professor Angus MacKinnon of the Imperial College of Technology and Medicine has created this comprehensive course covering the main computational techniques used in modern physics. The course, which appears here as a...
This lesson from Illuminations asks students to use matrix multiplication to transform digital images. Students will use matrix multiplication skills, look at the connections between geometric transformations and matrix...
Created by Lewis Blake and Stephanie Fitchett of the Connected Curriculum Project, the purposes of this module are to explore the properties of determinants of matrices and to develop an important theoretical formula....
Created by Lewis Blake for the Connected Curriculum Project, the purpose of this module is to experiment with the computation and use of eigenvalues and eigenvectors. This is part of a larger collection of learning...
Created by Lang Moore and David Smith for the Connected Curriculum Project, the purpose of this module is to experiment with and explore properties of eigenvalues and eigenvectors and their application to differential... |
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 Office Administration course was created by a team of educators at Florida Community College at Jacksonville to combine business and math. In-depth lessons are provided that address mathematics in consumer financeA unit on fractions in applied mathematics that uses programmed graphical models to let students see what happens when any mathematical operation takes place. Students also see what a fraction is, comparison of...
A unit that addresses the sheer volume of incomprehensible numbers (speed, distance, age) in the natural world, helping students to understand the scale of the world using the concepts of rates, proportions and... |
Discovering Geometry : An Investigative Approach - 4th edition
Summary: Discovering Geometry helps students internalize geometric properties as they test their reasoning with physical models.
The Discovering Geometry approach improves learning in many ways: The developmental focus of Discovering Geometry will help you meet your students where they are and guide them all to a high level of understanding. You'll find many opportunities both to support students whose progress is slower and to challenge more advanced stud...show moreents. Discovering Geometry will help you bolster your students' understanding and retention of theorems, definitions, and properties as they perform constructions, measure figures, relate patterns and properties, and discuss their findings. Algebra Review exercises integrated when applicable to the geometry being taught, will make it easy to reinforce your students' skills and keep them on track for continued learning. You will build your students' reasoning and proof skills by using the exercises and group activities in the new Developing Proof strand. Investigations, visual representations, and opportunities for discussion will enable you to integrate multiple teaching modes into your classroom so that visual, auditory, and kinesthetic learners all benefit. The real-world applications, puzzles, and extensions in Discovering Geometry will help you motivate students and keep them thinking. The book's focus on critical problem-solving skills will help you cultivate a classroom of self-motivated, independent thinkers. ...show less
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Mathematics is the most rigorous and demanding of all intellectual pursuits. Why should a student major in it? For some, the joy of attacking the intellect's most extreme sport is sufficient justification. We all need to eat, however, and so on this page we note how a mathematics major helps provide for your daily bread. We begin by looking at the significance of the math major for several non-mathematical career paths. For a more complete discussion of mathematical career options, see the Handbook for Mathematics Majors and Minors.
Suppose you love mathematics,
but ultimately see yourself pursuing a career as a doctor, lawyer, or
businessman. Then you should be aware that professional graduate
schools in business, law, and medicine think mathematics is a
great major because it develops analytical skills and the ability to
work in a problem solving environment. Their entrance tests
support this bias.
A study of college students' scores on admission
tests for graduate and professional schools showed that students
majoring in mathematics received scores substantially higher than the
average on each of the tests studied. The study, by the National
Institute of Education, compared the scores of 550,000 college students
who took the LSAT and GMAT with data collected over the previous
eighteen years.
The table on the right excerpts some of this data
from THE CHRONICLE OF HIGHER EDUCATION.
The entries show the percentage by which the mean score of test takers
from specific undergraduate majors differs from the mean score of all
test takers.
Major
LSAT
GMAT
Mathematics
+12.8%
+13.3%
Philosophy
+8.7%
+11.0%
Economics
+9.6
+7.3
Chemistry
+7.6%
+7.5%
English
+5.6%
+4.1%
Foreign Langs
+5.7%
+3.3%
History
+2.9%
+4.6%
Biology
+4.0%
+3.3%
Psychology
+0.9%
+0.8%
Political
Science
-1.6%
+.06%
Arts & Music
-.05%
-1.2%
Business
-4.5%
-0.8%
Sociology
-7.0%
-5.0%
Education
-8.7%
-4.2%
Salaries
For those of you who wish to take your undergraduate degree directly to the job market
after graduation, the chart on the right, extracted from the
National Association of Colleges and Employers
2005 salary survey, provides a comparison of average starting salaries
for students by undergraduate major.
Note the statistics in the table to the right indicate the percentages by which the average salaries for specific undergraduate majors exceed that of an English major.
MAJOR
SALARY
DIFFERENTIAL
Mathematics
+37.7%
Economics
+33.5%
Chemistry
+22.8%
Foreign
Langs
+5.1%
Poli. Sci.
+4.9%
History
+0.9%
Biology
+0.8%
English
+0%
Sociology
-0.3%
Psychology
-4.4%
Job Satisfaction
In addition to
higher pay, a math major's employment promises higher levels of job
satisfaction. JobsRated.com ranks 200 jobs according to environment, income, outlook, physical demands, and stress. Based on these criteria, "Mathematician" takes the number one spot on the list -- outranking jobs in medicine, finance, engineering, and law.
Numbers
two and three on the list, "Actuary" and "Statistician", are also
careers for which an undergraduate degree in mathematics is extremely
valuable.
A bachelor's degree in mathematics will prepare you for jobs in
statistics, actuarial sciences, mathematical modeling, and
cryptography, mathematics education, as well as for graduate school
leading to a
research career in engineering, mathematics or statistics. A strong
background in mathematics is also necessary for research in many areas
of computer science and social science. We describe below a few of the
many fields
where mathematics majors are in demand.
Mathematical Modeling
In mathematical modeling, you write down equations to describe how a real world system behaves. The "system" might be drawn from many different fields. For example, most financial companies hire mathematicians to study financial models and make predictions based on statistical evidence. In physics or engineering you might be interested in how heat is dissipated through the heat shield of a space vehicle. In physiology you might want to apply the laws of fluid dynamics to describe how blood flows in vessels and what happens when blood pressure is increased. In economics you might want to predict how a strike in the automotive industry will affect other parts of the economy.
Building a mathematical model is usually a multi-stage process: you study the problem, write down the equations, use them to predict what will happen, see if your predictions agree with experiments, modify your equations if necessary, make new predictions, and so on.
The model may be solved exactly (you may be able to write down a function that tells you the values you want to know), or you may have to approximate the values because they can't be found exactly, or you may have to simulate the model on a computer -- i.e., let the computer imitate the real system to see what happens as you change some of the parameters.
As usual, the power of mathematics comes from its ability to handle general abstract problems and then to apply these general methods to an enormous variety of problems.
Finance
Wall Street has become a major employer of math majors. Trying to
match the outstanding success of multibillionaire Differential
Geometer, James
Simons (founder of the Renaissance
Technologies
Corporation and the top hedge fund, the Medallion Fund),
many investment and financial firms consider mathematicians prized hires.
Statistics
The proliferation of statistics in everything ranging from business to government has induced many organizations to seek math majors. Statisticians use surveys -- for example, opinion polls -- to predict the patterns of behavior of large groups based on relatively small samples. They ask questions such as: How can we be sure that what we predict from our small sample is true of the population being sampled? Probability theory provides the theoretical foundation for statistics.
One business with an extreme interest in statistics is insurance. The (highly paid) professionals responsible for computing insurance rates are specialist statisticians called actuaries.
Where Mathematics Meets Computer Science
The computer industry provides many lucrative jobs for math majors. Beyond mere proficiency in computer programming, math majors are trained to address the more fundamental issues involved in the creation of new algorithms. Furthermore, many sophisticated applications of computers such as creation of computer graphics and the compression of video and audio signals (to name a few examples) involve a great deal of deep mathematics, and as a result, many computer companies specifically hire math majors.
Cryptography
One area that is particularly "hot" these days is cryptography - the making and breaking of secret codes. Not only the CIA, NSA, and other spy agencies are devotees. Numerous businesses also require cryptography. For example, the cable TV companies encode their signals, forcing the viewer to rent their decoding devices in order to turn the signals back into a television picture. Banks also employ cryptography in order to protect the privacy and integrity of their transactions. Number theory is the branch of pure mathematics which provides the theoretical underpinnings for much of the recent progress in cryptography.
Biotech
Recent breakthroughs in the study of DNA and proteins have generated a great deal of interest in mathematical biology. Many biotech companies hire mathematics majors because of the high (and growing) mathematical content of the field.
Teaching
If you would like to give back to your community and serve children, teaching mathematics at the secondary school level can be very rewarding. Every year, roughly half of the positions advertised for secondary school teachers in math go unfilled. Schools are desperate for qualified math majors.
Graduate School
At the end of your undergraduate years, you may have fallen in love with the beauty of mathematics and want to learn more. You may wish to go to graduate school in mathematics or a related field (e.g., operation research, economics, computer science, etc.). In graduate school, students typically get paid (albeit not much) to pursue a Master or PhD degree. With a graduate degree, you may find a teaching or research job in academia, or a leadership position in industry.
Now That You Are Interested...
If you want to learn more about getting a major in mathematics, feel free to have a chat with Prof. Chad Schoen (Director of Undergraduate Studies) or Prof. Clark Bray (Associate Director of Undergraduate Studies). |
Environmental science is an integrated, interdisciplinary field that combines the study of ecology, physics, chemistry, biology, soil science, geology, atmospheric science, and geography. It is among the top 10 most popular Advanced Placement examinations taken by high school seniors in an effort to receive postsecondary college credit.
Idiot's... more...
This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject... more...
This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas... more...
Calculus: A Complete Introduction is the most comprehensive yet easy-to-use introduction to using calculus. Written by a leading expert, this book will help you if you are studying for an important exam or essay, or if you simply want to improve your knowledge. The book covers all areas of calculus, including functions, gradients, rates of change,... more...
Whether you're a science major, an engineer, or a business graduate, calculus can be one of the most intimidating subjects around. Fortunately, Calculus for the Utterly Confused is your formula for success. Written by two experienced teachers who have taken the complexity out of calculus for thousands of students, this book breaks down tough concepts... more... |
Intermediatemediate Algebra for College Students, third edition, provides comprehensive, in-depth coverage of the topics required in a one-term course in intermediate algebra. The book is written for college students who have had a course in introductory algebra. The goal of the Blitzer Algebra series is to provide students with a strong foundation in Algebra. Each text is designed to develop students' critical thinking and problem-solving capabilities and prepare students for subsequent Algebra courses as well as service math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving.
2. Functions and Linear Functions. Introduction to Functions. The Algebra of Functions. Linear Functions and Slope. The Point-Slope Form of the Equation of a Line.
3. Systems of Linear Equations. Systems of Linear Equations in Two Variables. Problem Solving and Business Applications Using Systems of Equations. Systems of Linear Equations in Three Variables. Matrix Solutions to Linear Systems. Determinants and Cramer's Rule.
5.Polynomials, Polynomial Functions, and Factoring. Introduction to Polynomials and Polynomial Functions. Multiplication of Polynomials. Greatest Common Factors and Factoring By Grouping. Factoring Trinomials. Factoring Special Forms. A General Factoring Strategy. Polynomial Equations and Their Applications. |
AP Calculus Topics
Real Math Topics
Pre-Calculus
Advanced Algebra
Navigation
Essential Outcomes (AP Calculus)
Attached below you will find the "Essential Outcomes" that we will be striving for in AP Calculus. As we enter a new topic of study, you will be given a list of "outcomes" that you are "expected" to achieve. The goal of the math department is that by keeping the students aware of where we are going and how it is all connected together, the students will see our math curriculum as a more cohesive and flowing entity; not simply individual, disjointed classes and topics. |
Teaching word problems and methods of solution: a unit concerned with practical approaches to problem solving at the elementary mathematical level. It presents concepts and ideas calculated to encourage educators to...
A unit written as an enrichment lesson for students in basic geometry or geometry; also, the section on spherical geometry can be used in an Algebra II Trigonometry class as an extension or an introduction to spherical...
A paper motivated by Polya's book How to Solve It, which presents material mindful of students who may believe they have "Math Anxiety." The unit reviews the solutions of word problems starting with the concept of a...
The author of Curious Math, Clay Ford, enjoys mathematics. While Ford claims not to be an expert by any means he maintains a fun website full of math tricks and trivia. Examples of postings include how to \"quickly... |
O Level Syllabus MATHEMATICS (4008/4028) 2 ... level and for the mathematical requirements of a wide range of professions. The syllabus assumes the ... e.g. quarter past three in the morning may be stated as either 3.15 a.m. or 03 15;
Knowledge of the content of Cambridge's Ordinarylevel Syllabus D (or an equivalent Syllabus) ... prepared to follow courses leading to Cambridge International AS and A LevelMathematics, or the equivalent. ... It provides past question papers and examiner reports on previous examinations, ...
Cambridge O LevelMathematics is recognised by universities and employers throughout the world as proof ... All candidates take two papers. ... OrdinaryLevel (O Level) results are shown by one of the grades A, B, C, ...
... (OrdinaryLevel), or O Level, is the national school-leaving examination in ... Mathematics A Level independently which although demanding, was a great ... PastExamPapers (including postage) = $ 35.00 / paper |
More About
This Textbook
Overview
This volume reflects an appreciation of the interactive roles of subject matter, teacher, student, and technologies in designing classrooms that promote understanding of geometry and space. Although these elements of geometry education are mutually constituted, the book is organized to highlight, first, the editors' vision of a general geometry education; second, the development of student thinking in everyday and classroom contexts; and third, the role of technologies.
Rather than looking to high school geometry as the locus—and all too often, the apex—of geometric reasoning, the contributors to this volume suggest that reasoning about space can and should be successfully integrated with other forms of mathematics, starting at the elementary level and continuing through high school. Reintegrating spatial reasoning into the mathematical mainstream—indeed, placing it at the core of K-12 mathematics environments that promote learning with understanding—will mean increased attention to problems in modeling, structure, and design and reinvigoration of traditional topics such as measure, dimension, and form. Further, the editors' position is that the teaching of geometry and spatial visualization in school should not be compressed into a characterization of Greek geometry, but should include attention to contributions to the mathematics of space that developed subsequent to those of the Greeks.
This volume is essential reading for those involved in mathematics education at all levels, including university faculty, researchers |
I develop applications to teach and learn concepts of math and science. The applications are all based upon Mathematica. Go to my website at for a more detailed bio and descriptions of the applications. |
Beginning and Intermediate Algebra - 4th edition
Summary: The Tobey/Slater/Blair/Crawford series builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical ''building block'' organization makes it easy for students to understand each topic and gain confidence as they move through each section. Students will find many opportunities to check and reinforce their understanding of concepts throughout the text. With this revision, the author team has added a new Math Coach feature that pro...show morevides students with an office hour experience by helping them to avoid commonly made mistakes. With Tobey/Slater/Blair/Crawford, students have a tutor, a study companion, and now a coach, with them every step of the way80531 used book - free tracking number with every order. book may have some writing or highlighting, or used book stickers on front or back
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PaperbackshopUS Secaucus, NJ
Used - Very Good Book. Shipped from US within 4 to 14 business days. Established seller since 2000
$108.29167 |
This course covers the mathematical modeling, analysis, and control of physical systems that are at rest, in motion, or acted...
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This course covers the mathematical modeling, analysis, and control of physical systems that are at rest, in motion, or acted upon by a force; it explores the dynamics of mechanical, thermal, fluid, electrical, and hybrid systems and sub-systems. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mechanical Engineering 401)
according to OER Commons, "This book addresses the following topics: Iterations and fixed points; bifurcations; conjugacy;...
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according to OER Commons, "This״
Fractal Music Composer is a powerful music editor. Students build their own musical phrases out of notes from their choice of...
see more
Fractal Music Composer is a powerful music editor. Students build their own musical phrases out of notes from their choice of multiple keys and musical scales. Compositions are built from notes and phrases playing on assorted instruments. Fractal editing operations create self-similar sequences across different time and sound scales. Students can save MIDI output of their creations, which can play their music on almost any computer.
A series of applets for teaching Fractal Geometry. Includes: L-Systems; Box-Counting Fractal Dimension; Cellular Automata;...
see more
A series of applets for teaching Fractal Geometry. Includes: L-Systems; Box-Counting Fractal Dimension; Cellular Automata; Iterated Function Systems (deterministic, random, data-driven, and with memory); Pascal's Triangle; Circle Inversion; Limit Sets of Circle Inversion. The online course materials that go with this applet series is at . This course is taught to high school math teachers as well as university students. |
Crystal-clear examples and detailed explanations-Easy-to...New. -Crystal-clear examples and detailed explanations-Easy-to-follow charts and graphs-Easy-to-understand proofs and theorems-Student-Friendly Almanac and Yellow Pages with information on test-taking tips, writing in math, and using a graphing calcul |
Calculus Made Easier
[ Teens/Mature Teens ]
- An introduction to the basic concepts. The derivative and integral are explained. Resource links included.
Calculus Survival Guide
[ Teens/Mature Teens ]
- Offers helpful tips on taking tests and keeping up with the class. Geared toward university students, but also applies to high school.
Calculus-Help.com
[ Mature Teens ]
- Features a new practice calculus problem every week with complete solutions. Includes an archive of prior weeks' problems and solutions.
A History of the Calculus
[ Teens/Mature Teens ]
- The main ideas of calculus developed over a very long period of time. Read about some of the mathematicians who contributed to this field of mathematics. |
67978 / ISBN-13: 9780321567970
Mathematics All Around
"Tom Pirnot" believes that conceptual understanding is the key to a student's success in learning mathematics. He focuses on explaining the thinking ...Show synopsis"Tom Pirnot" believes that conceptual understanding is the key to a student's success in learning mathematics. He focuses on explaining the thinking behind the subject matter, so that students are able to truly understand the material and apply it to their lives. This textbook maintains a conversational tone throughout and focuses on motivating students and the mathematics through current applications. Ultimately, students who use this book will become more educated consumers of the vast amount of technical and mathematical information that they encounter daily, transforming them into mathematically aware citizens.Hide synopsis
Mathematics All Around
I cannot believe that all of this was crammed into ONE 8 week college course. I'm still getting over the stress of trying to make it through this course. The book is ok if you understand math, but if you don't, you're just going to be more lost than you were before you started. Very confusing stuff |
"Beginning Algebra: Teaching Key Concepts" (focus 11/13 MT14648
ISBN #
Published
Pages
Grades
Grades 9-12, Higher Education,
See What's Inside
Product Description process of problem solving with the content of the Common Core. The first of a series, this book will help mathematics educators illuminate a crucial link between problem solving and the Common Core State StandardsOne equals zero! Every number is greater than itself! All triangles are isosceles!
Surprised? Welcome to the world of One Equals Zero and Other Mathematical Surprises.
In this engaging book of blackline activity masters, all men are bald, mistakes are lucky,and teachers can never spring surprise tests on their students!
One of a series of books that support NCTM's Focus in High School Mathematics: Reasoning and Sense Making by providing additional guidance for making reasoning and sense making part of the mathematics experiences of all high school students every day.
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. |
Provides techniques that help you understand the basic mathematics. This book is suitable for a training course where basic mathematics is involved. It is useful for primary student teachers, trainees on apprentice courses and parents who want to help their children. It includes information on spreadsheets and personal development profiles. |
Major: Algebra and Number Theory Major
Description:
A program that focuses on the expression of quantities and their relationships by means of symbols, vectors, matrices, and equations, and the properties of integers. Includes instruction in algebraic structures, quadratic and automorphic forms, combinatorics, linear algebra, and algebraic geometry.
What
Courses Do Algebra and Number Theory Majors Take?
The required and elective courses you
would take for Algebra and Number Theory majors vary considerably among institutions.
Courses are listed here that are illustrative of the breadth
of topics you are likely to experience were you to major
in this field. |
MATH 1323 - Quantitative Reasoning
This course is designed for curricula where quantitative reasoning is required. The course content includes critical thinking skills, arithmetic and algebra concepts, statistical concepts, financial concepts, as well as numerical systems and applications. A graphing calculator is required. This is an entry level course and requires three years of high school math equivalent to NYS Course 1, 2, and 3; or Math A and B. |
More About
This Textbook
Overview
PRECALCULUS prepares learners for calculus and the rigors of that course, having been written by teachers who have taught the courses and seen where learners need help—and where other texts have come up short. The text features precise definitions and exposition, carefully crafted pedagogy, and a strong emphasis on algebraic, transcendental, and trigonometric functions. To show readers how important and relevant precalculus topics are to their future coursework, an optional Looking Ahead to Calculus feature appears in each chapter. The varied examples and exercises include many that encourage readers to use and understand graphs, as opposed to simply draw them, providing additional sound preparation for calculus.
Related Subjects
Meet the Author
Karla Neal received two degrees in mathematics from Louisiana State University and has been an instructor in the department of Mathematics for 31 years. During that time, she has served as the coordinator for College Trigonometry for more than 15 years. She has received three campus-wide teaching awards, and has served as a faculty advisor for several Christian campus organizations. Karla is an avid fan of the LSU Tigers. When she is not on campus, she is very active in her church, Healing Place Church in Baton Rouge, and can often be found on the golf course. At home, there are two dogs, Winston and Josie, waiting patiently.
R. David Gustafson is Professor Emeritus of Mathematics at Rock Valley College in Illinois and has also taught extensively at Rockford College and Beloit College. He is coauthor of several best-selling mathematics textbooks, including Gustafson/Frisk/Hughes' COLLEGE ALGEBRA, Gustafson/Karr/Massey's BEGINNING ALGEBRA, INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA, BEGINNING AND INTERMEDIATE ALGEBRA: A COMBINED APPROACH, and the Tussy/Gustafson and Tussy/Gustafson/Koenig developmental mathematics series. His numerous professional honors include Rock Valley Teacher of the Year and Rockford's Outstanding Educator of the Year. He has been very active in AMATYC as a Midwest Vice-president and has been President of IMACC, AMATYC's Illinois affiliate. He earned a Master of Arts from Rockford College in Illinois, as well as a Master of Science from Northern Illinois University.
Jeff Hughes has taught the college algebra course continually for the past 20 years, and his firsthand experience with students lends itself to the innovative ideas he has brought to the text. He has led the way for the addition of the new features and the revised content in COLLEGE ALGEBRA, 10E. He teaches at Hinds Community College in |
03/23/12
Welcome To
Our Spatial Mathematics Page!!
We all live according to time. Time guides us in
everything that we do. Spatial Mathematics seeks to draw a
relationship between space and time by using special
mathematical subscripts that represent time. It also uses
inequalities to define how the value of fields change at different points in time. Let look at a
simple business problem to illustrate this point.
A bank
account has an initial value of $5,000 on 1/17. The value of
the account increases by $250 every week. What is the value
after one week?
V denotes
the value of the account, (BA) denotes the name of the bank
account, [1/17] and [1/24] denote the dates of the events that changed the account.
All
values of variables represent the value of a field at a point in
time. Events change the value of fields. The value of one
field at a point in time will be different than the value of a
field at a later point in time. You can use Spatial Mathematics
notations to state the variable of the field as being the same
before and after the event. What changes is the value of the
field and the points in time of the events in relation to the
changes in the numerical value of the fields in question.
You can read more about the Spatial
Mathematics by going the Downloads Page and downloading ôSpatial
Mathematics: A New Theory of the Mathematical Representation of
Space and Time" for free in Adobe PDF format. |
Major Requirements
Coursework Requirements
Students majoring in mathematics must complete MATH 115 and one of 116/120 (or the equivalent) and at least eight units of 200-level and 300-level courses. These eight units must include 205, 206, 302, 305, and two additional 300-level courses. (Thus a student who places out of 115/116 and starts in 205 requires only eight courses.) At most two of 206, 210 and 215 may be counted towards the major. These courses must be completed for the mathematics major:
Math 115: Calculus I and Math 116: Calculus II, or the equivalent
Math 205: Multivariable Calculus
Math 206: Linear Algebra
Math 302: Elements of Analysis I
Math 305: Abstract Algebra
At least two elective 300-level courses not counting any of 350, 360, 370.
A student may count Math 215/Phys 215 towards her mathematics major. However, she may count at most two of the course 206, 210, and 215 toward the major. Credit for Math 216/Phys 216 satisfies the requirement that a math major take 205, but cannot be counted as one of the 200- or 300-level units required for the major.
Major Presentation Requirement
Majors are also required to present one classroom talk in either their junior or senior year. This requirement can be satisfied with a presentation in the student seminar, but it can also be fulfilled by giving a talk in one of the courses whose catalog description says"Majors can fulfill the major presentation requirement in this course." In addition, a limited number of students may be able to fulfill the presentation requirement in other courses, with permission of the instructor |
8 questions using logarithms. 7 questions use logarithms to solve equations.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University. |
Description This is an introductory course in arithmetical, geometric and algebraic
analysis that introduces students to the place of mathematics in the quest
for truth in the conversation of Western civilization. It is designed to
equip students to understand basic issues in economics, financial
management, business, science, and public policy in a way that sensitizes
them to the use and abuse of mathematical reasoning in the public square.
Beginning with standard arithmetical, geometric and algebraic concepts and
manipulations, quantitative analytical skills will be extended to more
complex quantitative analysis focused on applications of linear, quadratic,
exponential and logarithmic functions, as well as systems of linear
equations, infinite sequences and series, basic combinatorial analysis, and
elementary probability theory. Prerequisite: No prerequisite, though passing
high school grades in algebra I and geometry or their equivalents would be
very helpful. Students who take MAT 155 for credit may not take MAT 160 for
credit.
Objectives After successfully completing this course, students will
Be comfortable with some of the most common objects in mathematics
that we will be studying: the natural numbers, linear equations,
functions, sequences, the idea of probability, etc., and be able to
apply them in practical ways (for example, in the study of economics).
Have a sense of the history of mathematics, and its place in history
and society as a whole.
Be able to identify the use of mathematics in public discourse, and
especially be able to evaluate and critique arguments based on
probability and statistics.
Instructor
Brian
Stout studied at the U.S. Merchant Marine Academy. He holds a B.S. in
Marine Transportation and is completing his Ph.D. at City University of New
York. Brian has 3 years of experience teaching Pre-Algebra, College Algebra,
Pre-Calculus and Calculus 1. Originally from north Texas, Brian and his wife
now reside in New York. |
Quick Links
The Theory of Probability
From classical foundations to advanced modern theory, this self-contained and comprehensive guide to probability weaves together mathematical proofs, historical context and richly detailed illustrative applications.
Long Synopsis:
From classical foundations to advanced modern theory, this self-contained and comprehensive guide to probability weaves together mathematical proofs, historical context and richly detailed illustrative applications. A theorem discovery approach is used throughout, setting each proof within its historical setting and is accompanied by a consistent emphasis on elementary methods of proof. Each topic is presented in a modular framework, combining fundamental concepts with worked examples, problems and digressions which, although mathematically rigorous, require no specialised or advanced mathematical background. Augmenting this core material are over 80 richly embellished practical applications of probability theory, drawn from a broad spectrum of areas both classical and modern, each tailor-made to illustrate the magnificent scope of the formal results. Providing a solid grounding in practical probability, without sacrificing mathematical rigour or historical richness, this insightful book is a fascinating reference and essential resource, for all engineers, computer scientists and mathematicians. |
A new slideshow has been added to the page demonstrating WolframAlpha syntax. WolframAlpha can be very useful for checking for example normal probabilities. Each query as you will see in the slides is illustrated with a diagram. It is always useful to sketch a diagram when solving any normal distribution problems.
The way to improve your mathematical skills is to do lots of questions (then do some more!) You need to apply what you know and just reading your notes will not help you do that. Worked examples can be very helpful – particularly if you cover up the solution and try answering the question yourself first.
If you are looking for questions the following sites provide many for you.
Maths Centre (age 16+) An extensive collection of very clear notes and other resources are available from the mathcentre. There are many very clearly worked examples, also exercises (with answers). Check the resource types,choosing Practice & Revision for example would lead you to this Calculus Refresher (under the Chain rule) which is a whole workbook of mixed calculus examples.mathtutorprovides mathcentre resources conveniently structured as a course.
mathcentre – Maths Tutor
Just the Maths (age 18+) Just the Maths by Tony Hobsonisanother extensive collection of notes which include numerous worked examples and also exercises to try (with answers). These notes are very useful for students in their last years at school and at university.
The Maths Teacher (age 11-17)
David Smith's site, The Maths Teacher has an extensive collection of videos to help you study Mathematics. GCSE (age 14-16, though many of these resources would be helpful for younger students also) and A-Level (age 16-18) lessons are available. For each topic not only is a video available but also a transcript and exercises with solutions. This makes the site ideal for revision – you have the choice of perhaps just trying the exercises or if you feel you need more help you can watch the video – whatever is right for you.
CIMT,The Centre for Innovation in Mathematics Teaching(age 5 – 18)
Scroll down this page to see all the material available for students of all ages. The student texts include worked examples in every section. The texts also have exercises which are usually password protected. (Schools can obtain the password from CIMT). Note in particular the Interactive Material (examples with online checking of answers for Year 7 | Year 8 | Year 9 (have a look at the topics here which may be useful for slightly older students also).
If you choose the GCSE course material for example and scroll down the page you will see all the pupil textbook chapters.
Trinity school (age 11-16)
Trinity School have very helpful Mathematics resources – many examples for you to try (answers included)
Trinity School Nottingham – numerous questions and answers
WolframAlpha (age 5 upwards!)
If you are trying any exercises you can obviously check the answers given in the notes; remember that you can also check your answers with WolframAlpha. You could make up questions of your own and check the answers on WolframAlpha, for example suppose you want to make sure you can multiply out brackets – make up your own question (writing questions is actually a good way to check your understanding), for example multiply out (x+3)(x+2), write your answer, then check it on WolframAlpha. Perhaps some calculus? Differentiate sinxcosx wrt x.
On the subject of WolframAlpha, there are several slideshowson the WolframAlpha page on this blog to help you get used to the syntax.
If you are feeling a little unsure on identifying the equation of a straight line then use this Desmos graph and experiment by changing the gradient, intercept or points marked on the line. The image above shows the line y=2x+1. We can see that the intercept is 1 (where the line crosses the y axis) and the gradient is 2. Looking at the graph we can see that the gradient is positive and you can verify that the gradient is 2 by dividing the difference between the y coordinates (6 in this image) by the difference in the x coordinates (3 in this image). Try moving the points, you will see that this ratio remains constant.
Compare the second image. We can see that the intercept is 1. Looking at the slope, the gradient is positive. The gradient is given by 2÷4 = 0.5. So the equation of the line is y = 0.5x + 1.
..
…
…
In the third example; looking at the slope of the line we can see it is negative. The gradient is given by 6÷2 which is 3 and the line crosses the y axis at 2 giving the equation of the line as y = ─3x + 2
Since writing this post Desmos have taken the page and created a superior version!
To quote Angela Lee Duckworth:
"."
Choose the type of equation you require then the sequence of operations required to solve the equation.
Select Do it after each operation, for example -32 Do it were the keys selected to start the above problem.
The slideshow below shows how to use the calculator to solve equations where the unknown is on both sides.
There are 4 levels to choose from: the level 1 equations are of the type ax = b,
level 2, x±c = d, level 3, ex±f = g and level 4, hx±i = hx±j = k.
Choose the series of operations you require to solve the equation selecting apply at each stage to see the result of your chosen operation.
Choose numbers to add and subtract integers and letters to add and subtract variables. |
Beginning and Intermediate Algebra
9780321785121
ISBN:
0321785126
Edition: 5 Pub Date: 2011 Publisher: Pearson Education
Summary: Buy Beginning and Intermediate Algebra online here today and save money on the cheapest copy of this text book you can buy. Written by Elayn K Martin-Gay, the book was published in 2011 by Pearson Education. This is a 5th edition copy and you can sell your Beginning and Intermediate Algebra book back later on if you wish. If you want to get the best possible deal for this book you can be assured you will get it here,... through our discounted selection of pre-owned text books. Our buyback service provides many pre-owned books to add every day. Get a superb deal now.
Martin-Gay, K. Elayn is the author of Beginning and Intermediate Algebra, published 2011 under ISBN 9780321785121 and 0321785126. Nine hundred thirteen Beginning and Intermediate Algebra textbooks are available for sale on ValoreBooks.com, three hundred six used from the cheapest price of $73.58, or buy new starting at $117.95Beginning & Intermediate Algebra by Elayn Martin-Gay' contains ... [more]The Beginning and Intermediate AlgebraBeginning & Intermediate Algebra by Elayn Martin-Gay' contains all the information you need for you to ace your class, including quizzes, fla [more]
DIGITAL ALTERNATIVE: The helped gain a better understanding of elementary algebra and helped prepare me for college algebra. The end of chapter review were the most helpful part of the book to me because it gave an overview of each section of the chapter in a way that fit my learning style.
There isn't anything I would change about this book, I believe every book by Martin-Gay is always helping in my learning. |
Numerical Analysis: A Mathematical Introduction
Book Description: This book provides professionals and students with a thorough understanding of the interface between mathematics and scientific computation. Ranging from classical questions to modern techniques, it explains why numerical computations succeed or fail. The book is divided into four sections, with an emphasis on the use of mathematics as a tool in determining the success rate of numerical methods. The text requires only a modest level of mathematical training, and is ideally suited for scientists and students in mathematics, physics and engineering |
This text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of ...Show synopsisThis text presents geometry in an exemplary, accessible and attractive form. The book emphasizes both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well as practical and physical applications. The book also teaches the student fundamental concepts and the difference between important reults and minor technical routines. Altogether, the text presents a coherent high school curriculum for the geometry course. There are many examples and exercises.Hide synopsis
Description:Fine. Hardcover. Almost new condition. SKU: 9780387966540-2-0-3...Fine. Hardcover. Almost new condition. SKU: 9780387966540-2-0-3 Orders ship the same or next business day. Expedited shipping within U.S. will arrive in 3-5 days. Hassle free 14 day return policy. Contact Customer Service for questions. ISBN: 9780387966540 At last: geometry in an...New. This item is printed on demand. At last: geometry in an exemplary, accessible and attractive form! The authors emphasise both the intellectually stimulating parts of geometry and routine arguments or computations in concrete or classical cases, as well |
Description:
An introductory course covering basic concepts in preparation for Algebra I. Includes adding, subtracting, multiplying, and dividing whole numbers, decimals, fractions, mixed numbers, and integers. Also, manipulating place value and powers of 10; estimating sums, differences, products, and quotients. Teaches identification of angles and triangles, and use of scientific notation. Note: Due to the nature of the lesson assignments for this course, we are unable to accept assignments via e-mail |
More About
This Book
Updated from Maxfield's popular Essential Mathcad, this book introduces the most powerful functions and features of the new PTC Mathcad Prime 3.0 software and teaches how to apply them to create comprehensive calculations for any quantitative subject. Examples from several fields demonstrate the power and utility of PTC Mathcad's tools while also demonstrating how users can eff ectively incorporate Microsoft® Excel spreadsheets into the software.
Learn the basics faster: Chapter 1 introduces many fundamentals of Mathcad, allowing the reader to begin using the program in less time.
Learn PTC Mathcad tools in context: Incorporates many applied examples and problems from a wide variety of disciplines.
Each copy of the book includes a code to download PTC® Mathcad Prime® 3.0 Student Edition, giving the user a full year of use from the time of installation. (The Student Edition software is intended for educational purposes only.)
Related Subjects
Meet the Author
Brent Maxfield is a Professional Structural Engineer in Utah and a Professional Civil Engineering in California. He graduated Magna Cum Laude from Brigham Young University with a degree in Civil Engineering and earned a Master of Engineering Management degree. He is active in professional associations, having served on the Board of Directors of the Structural Engineers Association of Utah and in the Structural Advisory Committee to the Utah Uniform Building Codes Commission. He has used Mathcad extensively for nearly 20 years. In Essential Mathcad, Maxfield shares his vast Mathcad experience |
CS 208 Discrete Mathematics Scott, David Groth As studies have conclusively shown that cooperative learning is effective, class time will be allotted to both lecture and group work.
Learning Outcomes: Upon completion of this course the student should be able to:
. use truth tables and action diagrams
. use set theory and Venn diagrams
. solve problems using combination and permutation equations
. do arithmetic in the binary and hexadecimal numbering systems
. solve problems using recursion
. solve binomial coefficient problems
Course Assessment: The final grade is based entirely on the average of quiz scores. The lowest quiz score will be discarded if a students successfully completes an extra-credit assignment. The instructor reserves the right to give an unannounced quiz at any time. So watch out.
Late Submission of Course Materials: All quizzes and assignments must be completed in order to receive a grade. If the instructor is unable to determine a final grade at the end of the term, a grade of "F" will be temporarily assigned until the final grade is determined.
Classroom Rules of Conduct: Students are expected to show respect for each other, and to work together during group assignments. Respect for the instructor is encouraged, but not required.
Class Activities
Assignments
Tests
8 June
Numbering Systems
Read 169-175
n/a
15 June
Logic
Read 1-15
Numbering Systems
22 June
Sets
Read 77-93
Logic
29 June
Algorithms
Read 120-129
Sets
6 July
Permutations and Combinations
Read 320-324
Algorithms
13 July
Recursion
Read 256-270
Permutations and Combinations
20 July
Binomial coefficients
Read 284-289, 327-332
Recursion
27 July
Review for final quiz
Just show up
Binomial coefficients, final quiz |
Plus the dreaded word problems. Learning these basic principles well from the beginning will give students a strong foundation for the rest of their high school careers. For some students, Algebra 2 marks the end of their high school career; for others, it's just a stepping stone to other higher Math classes; and for a third group, it's a refresher class at college. Students who successfully learn and use the knowledge of st... |
This is a clever, concise, concrete, and classical complex analysis book, aimed at undergraduates with no background beyond single-variable calculus. The book has an eclectic flavor; rather than develop any general theories, the authors work toward a number of classical results, and usually take the shortest path to get there.
The book generally takes an analytic rather than a geometric approach; the Cauchy-Riemann equations are central. It works up to analytic functions by going through polynomials and entire functions, and only then considers functions analytic on a disk and then analytic on a region. The elementary functions are developed as extensions of those functions on the reals, rather than as power series. Similarly, the book starts with polygonal paths with only horizontal or vertical segments, and works up to general curves. There are no Riemann surfaces, and multi-valued functions such as the logarithm are sidestepped by explicitly defining a useful branch and showing that it has the desired properties.
The book has a modest number of applications, including some discussion of fluid flow and the Riemann mapping theorem. Most of the applications are to other branches of mathematics rather than to other sciences, and cover fields such as combinatorics and evaluation of definite integrals and infinite series. There is even has a complete proof of the prime number theorem.
There are many exercises, and they cover a wide range of difficulty, from routine applications of techniques in the text through quite challenging problems. Answers to all exercises are given in the back of the book, although usually they are sketches of the answer in a couple of sentences rather than a detailed answer.
Allen Stenger is a math hobbyist, library propagandist, and retired computer programmer. He volunteers in his spare time at MathNerds.com, a math help site that fosters inquiry learning. His mathematical interests are number theory and classical analysis.
Preface
1. The Complex Numbers Introduction 1.1. The Field of Complex Numbers 1.2. The Complex Plane 1.3. Topological Aspects of the Complex Plane 1.4. Stereographic Projection; The Point at Infinity Exercises
2. Functions of the Complex Variable z Introduction 2.1. Analytic Polynomials 2.2. Power Series 2.3. Differentiability and Uniqueness of Power Series Exercises
6. Properties of Analytic Functions Introduction 6.1. The Power Series Representation for Functions Analytic in a Disc 6.2. Analyticity in an Arbitrary Open Set 6.3. The Uniqueness, Mean-Value, and Maximum-Modulus Theorems Exercises
11. Applications of The Residue Theorem to the Evaluation of Integrals and Sums Introduction 11.1. Evaluation of Definite Integrals by Contour Integral Techniques 11.2. Application of Contour Integral Methods to Evaluation and Estimation of Sums Exercises
12. Further Contour Integral Techniques 12.1. Shifting the Contour of Integration 12.2. An Entire Function Bounded in Every Direction Exercises |
IMS Content1.1.4MU120_3_1.0Exploring distance time graphsGraphs are a common way of presenting information. However, like any other type of representation, graphs rely on shared understandings of symbols and styles to convey meaning. Also, graphs are normally drawn specifically with the intention of presenting information in a particularly favourable or unfavourable light, to convince you of an argument or to influence your decisions.Mathematics and StatisticsCommunicating_mathsGraphsInformationMathematicstext/htmlLOMv1.0Narrative TextLOMv1.0yesAttribution-Noncommercial-Share Alike 2.0 UK: England & Wales OU course on this topic - Open University linksURL this topic at the OU - Open University linksURL Science & Nature - Open University linksURL is the title and course code of the source course materialCOURSEOpen Mathematics - MU120Exploring distance time graphsIntroductionIntroductionIntroductionA shared understandingAbout the Unit1: Every picture tells a story1: Every picture tells a story2: Time-series graphs2.1: Introduction2.2: Time-series graphs: an example2.3: Time-series graphs: summing up3: Graphical conversions3.1: Introduction3.2: Graphical conversions: drawing a straight-line graph3.3: Graphical conversions: How do you use the graph?3.4: Graphical conversions: How is the constant of proportionality represented on a graph?3.5: Graphical conversions: How would you go about drawing a graph to convert from one scale to the other?3.6: Graphical conversions: So what is the relationship between the two scales?3.7: Graphical conversions: What is the relationship between the Fahrenheit and the Celsius scales?3.8: Graphical conversions: summing up4: Mathematical graphs4.1: Mathematical graphs: special terms4.2: Mathematical graphs: How do you read them?4.3: Mathematical graphs: What could they mean?5: What story does this picture tell?5.1: Introduction5.2: Beware of first impressions5.3: Don't jump to conclusions6: Every picture tells a story: summing up6: Every picture tells a story: summing up7: Modelling a journey7.1: Introduction7.2: Distance, speed and time7.3: Distance, speed and time: assumptions7.4: Distance, time and speed: an example7.5: Distance-time graphs: representing changes in speed7.6: The final graph7.8: Distance-time graphs: a mathematical story7.8: Reading distance-time graphs: summing up7.9: A mathematician's journey7.10: A mathematician's journey: building a model7.11: A mathematician's journey: using the model for planning7.12: Distance-time graphs: summing up8: On the right lines8.1: Introduction8.2: Single-track minders8.3: Video task: graphing the journey8.4: Video task: Taking the A train8.5: Video task: Planning specials8.6: On the right lines: summing upReferences and AcknowledgementsAcknowledgementsLicencing Agreement |
rated Arithmetic and Basic Algebra
Integrated Arithmetic and Basic Algebra, Fifth Edition , integrates arithmetic and algebra to allow students to see the big picture of math. Rather ...Show synopsisIntegrated Arithmetic and Basic Algebra, Fifth Edition , integrates arithmetic and algebra to allow students to see the big picture of math. Rather than separating these two subjects, this text helps students recognize algebra as a natural extension of arithmetic. As a result, students see how concepts are interrelated and are better prepared for future courses1747389Good. Paperback. May include moderately worn cover, writing,...Good. Paperback. May include moderately worn cover, writing, markings or slight discoloration. SKU: 9780321747389Fair. Book in acceptable condition. Will show clear signs of...Fair. Book in acceptable condition. Will show clear signs of use and may have damage to the cover or binding and/or water damage that will not affect the readability of the bookVery Good. This book is a loose leaf edition (same content,...Very Good. This book is a loose leaf edition (same content, just cheaper). May not contain access codes or supplementary materials. Get bombed! ! ! This is the U.S. student edition as pictured |
This handy guide, with free access to online practice problems, gives you 1,001 opportunities to practice solving problems that you'll encounter in your basic math and pre-algebraSolving problems online, you'll track your progress, see where you need more help, and create customized problem sets to get you where you need to be.
On-the-go access any way you want it — from your computer, smartphone, or tablet
Multiple choice questions on all your math course topics
Personalized reports that track your progress and help show you where you need to study the most
Customizable practice sets for self-directed study
Practice problems categorized as easy, medium, or hard
Synopsis:
Synopsis:About the Author
Mark Zegarelli is a math and test prep tutor and instructor in SanFrancisco and New Jersey. He is the author of Basic Math & Pre-Algebra For Dummies, SAT Math For Dummies, ACT Math For Dummies, Logic For Dummies, and Calculus II For Dummies .
"Synopsis"
by Wiley, |
CK-12 Geometry - Second Edition
Table of Contents
Loading Contents
Description
CK-12's Geometry Second Edition is a clear presentation of the essentials of geometry for the high school student. Topics include: Proofs, Triangles, Quadrilaterals, Similarity, Perimeter & Area, Volume, and Transformations. |
HIGH Achiever 20 software titles in graphic sleeve A fun an entertain way to learn not so fun and entertaining subject. 20 different topics grades 6-12. High Achiever Algebra 1For high school students currently enrolled in algebra 1, and a great study aid for anyone preparing for his or her college entrance examinations.Featured Lessons: • First-Degree Equations • Linear Equations with one variable • Linear Equations with Two • Variables • Inequalities • Monomials • Polynomials • Rational Expressions • Operations with Powers • Operations with Exponents • Quadratic equations high Achiever Algebra 2high school students currently enrolled in algebra 2, and a great study aid for anyone preparing for his or her college entrance examinations.Featured Lessons: • Absolute Value • Intersection of Lines • Linear Inequalities • Factoring • Polynomials • Second Degree Equations • Second Degree Inequalities • Conic Sections • Exponential Functions • Logarithmic Functions • Exponential Equations • Logarithmic Equations • Exponential functions high Achiever Algebra booster gives you tips and tricks that teachers and textbooks usually don't mention, plus hints on avoiding common mistakes! Then you can practice your skills in a fun arcade game environment, using a unique step by- step quizzing approach. Say goodbye to mistakes…High Achiever Algebra Booster is your key to becoming an Algebra expert!Featured Lessons: • Negative Numbers • Fractions Percentages • Primes and Factorization • Algebraic Notation • Order of Operations • Exponents • Variables • Equations High Achiever Biology The interactive, multimedia lessons reinforce your understanding of the core subjects covered in a one-year high school biology course. We present difficult topics in an engaging, friendly style that includes full color animations, quizzes, a search able index, and laboratory videos.Featured Lessons: • Characteristics of Life • Biochemistry • Cell Biology • Photosynthesis and Respiration • Cell Reproduction • Genetics • Protein Synthesis • Evolution • Ecology • Human biology high Achiever chemistry high Achiever Chemistry provides self paced, interactive, and stimulating tutorials that clearly explain chemistry concepts, formulas, reactions, and equations. We present difficult topics in an engaging, friendly style that includes full-color animations, quizzes, a search able index, and laboratory videos.Featured Lessons: • Matter • Atoms • Compounds and Molecules • The Periodic Table • Electro chemistry • Nuclear Chemistry • Organic Chemistry High Achiever composition join space alien Rozzwell as he learns writing skills for almost every occasion. You'll tour The Writer's Workout Room, The Style Planet, Research Park, The Press Room, and The Wonderful World of Me! The program includes quizzes and fun writing activities.Featured Lessons: • Brainstorming • Free writing • Outlining • Rules of Grammar • Paragraph Structures • Journalism Styles •Interviewing Techniques • Web-based Writing Styles • Documenting Sources • Writing Resumes and Cover Letters High Circumference • Plane Reasoning • Equality and Similarity • Non-Euclidean geometry highCircumference • Plane Reasoning • Equality and Similarity • Non-Euclidean geometry high Achiever grammar featured Lessons: • Sentence Structuring • Advanced Sentence Structuring • Verb Forms • Phrasing • Pronouns & Adjectives •Clauses • Identifying Run-on & Fragment Sentences • Punctuation • idioms high Achiever Middle School Mathematics 1Covers topics commonly taught in 6th grade math. It is also suitable for high school students and adult learners who need to brush up on their basic math skills. Features include 43 standards based lessons, over 300 interactive quiz questions, 43 skill-building animations, and a search able database of over 500 key basic math terms.Featured Lessons: • Numbers • Factor Trees • Fractions • Decimals • Percentages • Perimeter and Area • Measurement • statistics high Achiever Middle School Mathematics 2Covers topics commonly taught in 7th grade math and some pre-algebra concepts. It is also suitable for high school students and adult learners who need to brush up on their basic math skills. Features include 28 standards-based lessons, over 200 interactive quiz questions, 26 skill-building animations, and a search able database of over 500 key basic math terms.Featured Lessons: • Absolute Value • Negative Fractions • Ratios and Proportions • Exponents • Scientific Notation • Solving Equations • Graphing Linear equations high Achiever Middle School Mathematics 3Covers topics commonly taught in 8th grade math and some pre-algebra concepts. It is also suitable for high school students and adult learners who need to brush up on their basic math skills. Features include 25 standards-based lessons, over 300 interactive quiz questions, 25 skill-building animations, and a search able database of over 500 key basic math terms.Featured Lessons: • Sequence and Series • Polynomials • Square Roots • Introduction to Geometry • Triangles and other Polygons • Pythagorean Theorem • trigonometry high Achiever physics reinforce your classroom experience and learn physics at your won pace with High Achiever Physics 1. You'll find it easy to grasp the concepts and principles of physics in a computer environment free of outside pressures and distractions. High Achiever Physics 1 will help you make maximum use of your study time and bolster your confidence in physics.Featured Lessons: • Energy, Force, and Gravity • Momentum • Heat • Sound • Fluids • Machines • Linear and Plane Motion • Waves • mass high Achiever Physics 2Reinforce your classroom experience and learn physics at your own pace with High Achiever Physics 2. You'll find it easy to grasp the concepts and the principles of physics in a self-paced computer environment free of outside pressures and distractions. High Achiever Physics 2 will help you make maximum use of your study time and bolster your confidence in physics.Featured Lessons: • Electricity • Electric Circuits • Magnetism • Electromagnetic Induction • Waves (light and sound) • Optics • Quantum mechanics high Achiever Pre-algebra for middle or high school students currently enrolled in Pre-Algebra, and a great study aid for anyone preparing for his or her college entrance examinations.Featured Lessons: • Whole Numbers • Exponents • Factors of Whole Numbers • Fractions • Equations • Proportions • Decimals • Percentages • Ratios • Measurement Systems • Geometric figures high Achiever spelling with High Achiever Spelling, you can both see and hear how to spell words. And you can practice what you've learned with exciting games and quizzes like Spell Disaster, Mark My Words, Cast a Spell, Word Garden, and more. Say goodbye to boring drills - High Achiever Spelling is your key to becoming a spelling expert!Word Categories: • Library • Music • Sports • Sweet Shop • Theater • Retro Depot • Museum • arcade high Achiever Study skills study Skills teaches you the basics with unique step-by-step animations. The lessons synchronize text wit audio to accommodate different students' learning styles. The CD ROM also includes hilarious animations, diagnostic quizzes, colorful graphics, printable scheduling and note-taking forms, exciting games, and your own personal reminder. Before you know it, you'll have mastered the tools you need to succeed!Featured Lessons: • Thinking Tools • Time Management • Concentration • Organization • Power Reading • Finding the Main Idea • Listening Skills • Tips for Good Notation • Test taking high Achiever trigonometry for High School students currently enrolled in trigonometry, and a great study aid for anyone preparing for his or her college entrance examinations.Featured Lessons: • Angles • Triangles • Graphing Sine and Cosine • Trigonometric Functions • The Law of Sine • Trigonometric Identities • Composite Angles • Trigonometric Equations • Graphing Trigonometric Functions • Trigonometric Form of Complex Numbers • Polar and Cartesian coordinates high Achiever U.S. government the US Government CD-ROM cover key concepts in American government from the Declaration of Independence to the role of the Internet in 21st century politics. The course starts with the founding documents of American democracy: the declaration of Independence, the US Constitution, and the Bill of Rights. The CD-ROM contains 108 standards-based lessons, 270 interactive quiz questions, 20 skill-building animations, and a 500+ key concepts in search able database.Featured Lessons: • Principles of American Democracy • Rights of Citizenship • Principles of Civil Society • Branches of Government • Supreme Court Decisions • Political Campaigning • State Governments High Achiever U.S. history the US History CD-ROM covers American history from the earliest settlement of North America through the Internet revolution of the late 20th and early 21st centuries. Each curriculum-based lesson is correlated to national standards for US history. The CD-ROM features 100+ standards-based lessons, 250+ interactive quiz questions, 20 skill-building animations, search able database of 500+ key US History terms, and 500+ exercises and activities for the lessons.Featured Lessons: • Colonization and Settlement • Revolution and the New Nation • The Civil War and Reconstruction • The Industrial Revolution • World War 1 • The Great Depression • World War ii high Achiever vocabulary withFeatures: • 75 Pre-Set Vocabulary Lessons • Study Zone for Each Lesson • Quizzes for Each Lesson • Fun Learning Games for Each Lesson • Ability to Print Each Lesson • Build Your Own Custom Lessons • Easy-to-use Search***ALL TITLES ARE Windows 95/98/Me/XP/Vista compatible******Come in a multicolored graphic sleeve*** |
How is that you can walk into a classroom and gain an overall sense of thequality of math instruction taking place there? What contributes to gettingthat sense? In Math Sense, Chris Moynihan explores some of the componentsthat comprise the look, sound, and feel of effective teaching and learning.Does the landscape of the classroom feature such items... more...
How can we solve the national debt crisis? Should you or your child take on a student loan? Is it safe to talk on a cell phone while driving? Are there viable energy alternatives to fossil fuels? What could you do with a billion dollars? Could simple policy changes reduce political polarization? These questions may all seem very different, but they... more...
While computational technologies are transforming the professional practice of mathematics, as yet they have had little impact on school mathematics. This pioneering text develops a theorized analysis of why this is and what can be done to address it. It examines the particular case of symbolic calculators (equipped with computer algebra systems) in... more...
The Hindu?Arabic numeral system (1, 2, 3,...) is one of mankind's
greatest achievements and one of its most commonly used
inventions. How did it originate? Those who have written about the
numeral system have hypothesized that it originated in India; however,
there is little evidence to support this claim.
This book provides considerable evidence... more...
With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.... more... |
BEGINNING ALGEBRA
Syllabus
Fall 2012
PURPOSE: Beginning Algebra is one of the courses in the pre
calculus sequence. It is the prerequisite for Intermediate Algebra
which is the state wide prerequisite for students who will be taking
mathematics courses which will count towards bachelors degrees and
satisfy general education requirements. The major goal of this course
is to increase students' mathematical fluency.
Homework is the most important part of the course. If you keep up
with the homework you will probably do well. If you do not, you
probably will not do well. The midterms and final exam will cover the
material on the homework. The final exam is the deadline for all late
work. You will not need a calculator for this class. However, calculators, which are less advanced than the TI-89 are permitted for tests and homework. Students are
responsible for announcements made in class. |
This lesson plan, beginning with background information and helpful equations, is about vectors, with an application to GPS, and would be appropriate for use in a high school mathematics classroom. Knowledge of basic...
Created by David Smith for the Connected Curriculum Project, the purpose of this module is to explore the properties of orthogonal vectors and matrices. This is part of a larger collection of material hosted by Duke...
Created by Eddie Fuller, Lang Moore and David Smith for the Connected Curriculum Project, the purpose of this module is to introduce the concept of vectors in space and explore their algebraic and geometric properties. ...
Created by Lewis Blake and David Smith for the Connected Curriculum Project, the purposes of this module are to introduce the concept of using matrix multiplication to rotate vectors in two-dimensional space; to provide...
Exercises posted on this web site offer an opportunity for students to evaluate how much they have retained in various subjects of Algebra. Topics covered include geometry, functions, vectors, and statistics. There are... |
More About
This Textbook
Overview
Best-selling author Nigel Cook's new fourth edition of Introductory Mathematics is a complete "prep-math" book. Clear and easy-to-understand, this book employs an integrated approach, reinforcing all math topics to show the value of math as a tool, enabling readers to retain all information. Beginning with fractions and decimal numbers and proceeding on to build a solid foundation in exponents, the metric system, algebra, trigonometry, logarithms, graphs, and binary math, this easy-to-understand book will give readers the math skills needed for their careers. A valuable reference book for those in the technical trades, including electricians, automotive mechanics, printing employees, landscapers, surveyors, machinists, carpenters, food service employees, manufacturers, welders, plumbers, masons, drafters, and more.
Related Subjects
Read an ExcerptPrefaceBKBC
Posted February 10, 2009
Worst Math Book I Ever Read
This has to be the worst math book I have ever faced. This is the 4th edition, but there are more mistakes in this book than there are people in the world. After reading a chapter of this book, the book will have you believe 1+1 = 5. Plus, the author thinks that by adding chemistry and physics into the chapters, the material will be easier to understand. However, there is little use for any science in this book. Heck, you can take out the science parts and still learn the material from that section. Well, as long you believe 1+1=5. Again, I still think it is easier to become a brain surgeon than it is dealing with this book. And I wish I could give negative stars.
Was this review helpful? YesNoThank you for your feedback.Report this reviewThank you, this review has been flagged. |
PLEASE NOTE: the Theory Exam is no longer offered;
the syllabus of the new Algorithms Exam is different.
However, many, but not all, problems from old theory exams
require knowledge only of the new syllabus, and solving these
problems may help you to prepare better for the Algorithms Exam.
Theory Exam Syllabus
Students must
answer several questions from each of two areas. The
first area is theoretical computer science. The second
area is analysis of algorithms. A typical format will
require students to answer roughly equal numbers of
questions from both areas.
The material for
the exam includes the following topics: formal languages
and related machines, basic computability theory, space
and time complexity measures; algorithms, data structures
and their analysis, and NP-complete problems.
Recommended
Bibliography
Cormen, Leiserson,
Rivest, Introduction to Algorithms (Chapters 1-26.)
This is the primary reference for algorithms. |
general review covers equations, functions, and graphs; limits, derivatives; integrals and antiderivatives; word problems; applications of integrals to geometry; and much more. Additional features make this volume especially helpful to students working on their own. They include worked-out examples, a summary of the main points of each chapter, exercises, and where needed, background material on algebra, geometry, and reading comprehension. |
The
variable is the concept that enables arithmetic
to be generalized. Algebra is a set of ruls for
manipulating symbols, and a way of thinking. Algebra
concepts have been brought to primary classrooms
since the new national standards have called for
algebraic experiences to start early TRYIII), calculate the amount
of fertilizer ranchers need by solving area of their
land (area TRYIII), and answer questions about perimeter
and area with given shapes/ information (SHOWII).
The Rancher lessons have English, Navajo and Spanish
narrDemonstrate
the process of multiplication as repeatedly adding
the same number, counting by multiples, combining
equal sets, and making arrays. Solve word problems
using grade level appropriate operations and numbers. |
searching for a good precalculus book
Hi.
I am searching for a precalculus book that primarily must include vectors and preferably covers wide range of subjects like polar coordinates and complex numbers.
I looked in amazon but I couldn't know for sure how much of the material is cover, I mean some books might have 10 pages on vectors others might have 50 but it will still be in the table of content. I wouldn't mind a rigorous book.
Can anyone offer their personal experience with such precalculus books and give pros and cons? |
Math ComposMath Composer allows you to design and create all your math worksheets, tests, quizzes, and other math documents in one comprehensive program. You can create and edit text, equations, figures, graphs, and coordinate grids with your specifications. Every object you create can easily be placed and arranged anywhere on the page. Objects such as lines, points, arrows, circles, arcs, polygons, and angles can be attached to each other to construct dynamic, movable figures and diagrams. All documents print in high quality exactly as they appear on the screen.
Version 1.2.2 includes new graphing features in addition to other |
Wikijunior:Introduction to Mathematics
This Wikijunior book is designed to teach you, in less than a year, all of the mathematics you'll need to pass a lower level college.
Not everyone has the good fortune to be taught their numbers and letters before entering kindergarten, but everyone can learn to do math well.
This book begins at the beginning. It assumes you know how to read, nothing else. (If you have trouble reading this, you need to learn reading first, but you can work on math, too, if you have someone to read to you.)
The book is organized in a series of short lessons. Each lesson starts by saying what it is designed to teach. If you already know what that lesson is designed to teach, skip to the next lesson. Do not skip any lesson you are not absolutely certain you know. Every lesson builds on what has gone before.
If you want more instruction, especially gearing up for college, read More on Mathematics. It was made for the average reader to be able to understand it. |
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