Precalculus, 7th edition
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Overview
Precalculus helps you develop the balance of conceptual understanding and analytical skills needed to succeed in mathematics.
Published by Pearson (September 1st 2020)  Copyright © 2021
ISBN13: 9780136881100
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
R. Review of Basic Concepts
R1 Fractions, Decimals, and Percents
R2 Sets and Real Numbers
R3 Real Number Operations and Properties
R4 Integer and Rational Exponents
R5 Polynomials
R6 Factoring Polynomials
R7 Rational Expressions
R8 Radical Expressions
1. Equations and Inequalities
11 Linear Equations
12 Applications and Modeling with Linear Equations
13 Complex Numbers
14 Quadratic Equations
15 Applications and Modeling with Quadratic Equations
16 Other Types of Equations and Applications
17 Inequalities
18 Absolute Value Equations and Inequalities
2. Graphs and Functions
21 Rectangular Coordinates and Graphs
22 Circles
23 Functions
24 Linear Functions
25 Equations of Lines and Linear Models
26 Graphs of Basic Functions
27 Graphing Techniques
28 Function Operations and Composition
3. Polynomial and Rational Functions
31 Quadratic Functions and Models
32 Synthetic Division
33 Zeros of Polynomial Functions
34 Polynomial Functions: Graphs, Applications, and Models
35 Rational Functions: Graphs, Applications, and Models
36 Polynomial and Rational Inequalities
37 Variation
4. Inverse, Exponential, and Logarithmic Functions
41 Inverse Functions
42 Exponential Functions
43 Logarithmic Functions
44 Evaluating Logarithms and the ChangeofBase Theorem
45 Exponential and Logarithmic Equations
46 Applications of Models of Exponential Growth and Decay
5. Trigonometric Functions
51 Angles
52 Trigonometric Functions
53 Trigonometric Function Values and Angle Measures
54 Solutions and Applications of Right Triangles
6. The Circular Functions and Their Graphs
61 Radian Measure
62 The Unit Circle and Circular Functions
63 Graphs of the Sine and Cosine Functions
64 Translations of the Graphs of the Sine and Cosine Functions
65 Graphs of the Tangent and Cotangent Functions
66 Graphs of the Secant and Cosecant Functions
67 Harmonic Motion
7. Trigonometric Identities and Equations
71 Fundamental Identities
72 Verifying Trigonometric Identities
73 Sum and Difference Identities
74 DoubleAngle and HalfAngle Identities
75 Inverse Circular Functions
76 Trigonometric Equations
77 Equations Involving Inverse Trigonometric Functions
8. Applications of Trigonometry
81 The Law of Sines
82 The Law of Cosines
83 Geometrically Defined Vectors and Applications
84 Algebraically Defined Vectors and the Dot Product
85 Trigonometric (Polar) Form of Complex Numbers; Products and Quotients
86 De Moivre's Theorem; Powers and Roots of Complex Numbers
87 Polar Equations and Graphs
88 Parametric Equations, Graphs, and Applications
9. Systems and Matrices
91 Systems of Linear Equations
92 Matrix Solution of Linear Systems
93 Determinant Solution of Linear Systems
94 Partial Fractions
95 Nonlinear Systems of Equations
96 Systems of Inequalities and Linear Programming
97 Properties of Matrices
98 Matrix Inverses
10. Analytic Geometry
101 Parabolas
102 Ellipses
103 Hyperbolas
104 Summary of the Conic Sections
11. Further Topics in Algebra
111 Sequences and Series
112 Arithmetic Sequences and Series
113 Geometric Sequences and Series
114 The Binomial Theorem
115 Mathematical Induction
116 Basics of Counting Theory
117 Basics of Probability
Appendix A. Polar Form of Conic Sections
Appendix B. Rotation of Axes
Appendix C. Geometry Formulas
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