ISBN-10:
0314067701
ISBN-13:
9780314067708
Pub. Date:
05/28/1997
Publisher:
Brooks/Cole
Precalculus / Edition 1

Precalculus / Edition 1

by Charles S. Rees

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Product Details

ISBN-13: 9780314067708
Publisher: Brooks/Cole
Publication date: 05/28/1997
Pages: 700

Table of Contents

CHAPTER 1 Algebraic Concepts
1(110)
1.1 The Real Number System
1(15)
1.2 Polynomials and Fractional Expressions
16(13)
1.3 Exponents and Radicals
29(16)
1.4 The Cartesian Coordinate System
45(9)
1.5 Graphs--By All Means
54(5)
1.6 Linear Equations
59(10)
1.7 Complex Numbers
69(9)
1.8 Quadratic Equations
78(16)
1.9 Inequalities
94(17)
CHAPTER 2 Functions and Graphs
111(72)
2.1 Equations and Graphs of Lines
111(11)
2.2 Symmetry and Shifting of a Graph
122(8)
2.3 Functions
130(8)
2.4 The Graph of a Function
138(16)
2.5 Combining Functions
154(9)
2.6 Inverse Functions
163(9)
2.7 Variation
172(11)
CHAPTER 3 Polynomial and Rational Functions
183(64)
3.1 Quadratic Functions and Optimization
183(11)
3.2 Graphs of Polynomial Functions
194(10)
3.3 The Remainder and Factor Theorems
204(9)
3.4 Real and Complex Zeros of Polynomials
213(10)
3.5 Rational Zeros of Polynomials
223(10)
3.6 Graphs of Rational Functions
233(14)
CHAPTER 4 Exponential and Logarithmic Functions
247(56)
4.1 Exponential Functions
247(13)
4.2 Values and Graphs of Logarithmic Functions
260(10)
4.3 Properties of Logarithmic Functions
270(10)
4.4 Solving Exponential and Logarithmic Equations
280(7)
4.5 Exponential and Logarithmic Models
287(16)
CHAPTER 5 Trigonometric Functions
303(92)
5.1 Angles: Radians and Degrees
303(14)
5.2 Trigonometric Functions of a Real Number
317(16)
5.3 Trigonometric Functions of an Acute Angle
333(10)
5.4 Applications to Right Angles
343(9)
5.5 Properties of Trigonometric Functions
352(16)
5.6 Graphs of Trigonometric Functions
368(11)
5.7 Graphs of y = a . f(bx + c) and Simple Harmonic Motion
379(16)
CHAPTER 6 Trigonometric Identities and Equations
395(60)
6.1 Fundamental Identities
395(9)
6.2 Addition and Subtraction Formulas
404(10)
6.3 Double-Angle and Half-Angle Identities
414(11)
6.4 Product and Sum Formulas
425(5)
6.5 Inverse Functions
430(12)
6.6 Trigonometric Equations
442(13)
CHAPTER 7 Triangles and Applications
455(48)
7.1 The Law of Sines
455(7)
7.2 The Law of Cosines
462(9)
7.3 The Trigonometric Form of Complex Numbers
471(6)
7.4 De Moivre's Theorem and nth Roots
477(6)
7.5 Vectors
483(8)
7.6 Polar Coordinates
491(12)
CHAPTER 8 The Conics
503(60)
8.1 Parabolas
503(9)
8.2 Ellipses
512(10)
8.3 Hyperbolas
522(12)
8.4 Rotation of Axes
534(11)
8.5 Polar Equation of Conics
545(8)
8.6 Parametric Equations
553(10)
CHAPTER 9 Systems of Equations and Inequalities
563(44)
9.1 Systems of Two Linear Equations in Two Variables
563(11)
9.2 Systems of Linear Equations
574(7)
9.3 Systems of Nonlinear Equations
581(8)
9.4 Partial Fractions
589(6)
9.5 Systems of Inequalities and Applications
595(12)
CHAPTER 10 Matrices and Determinants
607(58)
10.1 Solving Linear Systems by Gaussian Elimination
607(11)
10.2 Properties and Applications of Matrices
618(11)
10.3 The Inverse of a Square Matrix
629(11)
10.4 Determinants and Their Properties
640(11)
10.5 Applications of Determinants
651(14)
CHAPTER 11 Topics in Algebra
665(62)
11.1 Arithmetic Sequences
665(11)
11.2 Geometric Sequences
676(14)
11.3 Mathematical Induction
690(8)
11.4 Permutations and Combinations
698(9)
11.5 The Binomial Theorem
707(8)
11.6 Probability
715(12)
APPENDIX A Tables 727(14)
1. Exponential Functions 728(1)
2. Logarithms to the Base Ten 729(3)
3. Natural Logarithms 732(1)
4. Values of Trigonometric Functions 733(8)
APPENDIX B Answers to Odd-numbered Exercises, Review Exercises, and Chapter Tests 741(12)
Index 753

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