The Complete Idiot's Guide to Precalculus

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Overview

From the author of two bestselling Complete Idiot’s Guides‚ comes a book aimed at high school and college students who need course help or a brush-up. It follows a standard precalculus curriculum, includes sample problems, and will help students make sense of their textbooks. Difficult topics, such as quadratic equations, logarithms, graphing trig functions, and matrix operations are presented with W. Michael Kelley’s signature wit and wisdom.

• College enrollment is projected to increase 23% between 2000 and 2013

• According to figures released by ACT Inc., nearly 75% of all college-bound students take precalculus or calculus in high school

• Author is an award-winning math teacher ...

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Overview

From the author of two bestselling Complete Idiot’s Guides‚ comes a book aimed at high school and college students who need course help or a brush-up. It follows a standard precalculus curriculum, includes sample problems, and will help students make sense of their textbooks. Difficult topics, such as quadratic equations, logarithms, graphing trig functions, and matrix operations are presented with W. Michael Kelley’s signature wit and wisdom.

• College enrollment is projected to increase 23% between 2000 and 2013

• According to figures released by ACT Inc., nearly 75% of all college-bound students take precalculus or calculus in high school

• Author is an award-winning math teacher recognized for his ability to make intimidating math topics approachable for even the most terrified students

Product Details

  • ISBN-13: 9781592573011
  • Publisher: Alpha Books
  • Publication date: 6/28/2005
  • Pages: 352
  • Sales rank: 284,441
  • Series: Complete Idiot's Guide Series
  • Product dimensions: 7.35 (w) x 9.13 (h) x 0.79 (d)

Meet the Author

W. Michael Kelley is an award-winning teacher and the author of The Complete Idiot's Guide to Calculus and The Complete Idiot's Guide to Algebra. The Maryland Council of Teachers of Mathematics recognized him as an Outstanding High School Mathematics Teacher and his students have named him “Most Popular Teacher” for four years. After he took over the Advanced Placement Calculus program, enrollment increased by 350% and the number of students receiving college credit by passing the Calculus AP test increased by 1,200%.

Table of Contents

Part 1 A Preponderance of Prioritized Precalculus Prerequisites 1
1 Reviewing Numbers and Arithmetic 3
2 Equations and Inequalities 15
3 Practicing with Polynomials 29
4 Factoring Polynomials 43
5 Rational Expressions and Weird Inequalities 55
6 Functions 69
Part 2 Nonlinear Equations and Functions 85
7 High-Powered Functions and Equations 87
8 Logarithmic Functions 101
9 Exponential Functions 113
Part 3 Trigonometry 127
10 Tangling with Angles 129
11 Graphing Trigonometric Functions 145
12 Trigonometric Identities 159
13 Solving Trigonometric Equations 171
14 Oblique Triangle Theorems 183
Part 4 Conic Sections 201
15 Parabolas and Circles 203
16 Ellipses and Hyperbolas 219
Part 5 Matrices and a Mathematical Montage 233
17 Matrix Operations and Calculations 235
18 The Jagged Little Red Pill of Matrix Applications 249
19 Final Exam 267
Appendixes
A Solutions to "You've Got Problems" Sidebars 285
B Glossary 315
Index 325

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