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Chapter R Basic Concepts of Algebra R.1 The Real-Number System R.2 Integer Exponents, Scientific Notation, and Order of Operations R.3 Addition, Subtraction, and Multiplication of Polynomials R.4 Factoring R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 The Basics of Equation Solving Chapter 1 Graphs, Functions, and Models 1.1 Introduction to Graphing 1.2 Functions and Graphs 1.3 Linear Functions, Slope, and Applications 1.4 Equations of Lines and Modeling 1.5 More on Functions 1.6 The Algebra of Functions 1.7 Symmetry and Transformations Chapter 2 Functions, Equations, and Inequalities 2.1 Linear Equations, Functions, and Models 2.2 The Complex Numbers 2.3 Quadratic Equations, Functions, and Models 2.4 Analyzing Graphs of Quadratic Functions 2.5 More Equation Solving 2.6 Solving Linear Inequalities Chapter 3 Polynomial And Rational Functions 3.1 Polynomial Functions and Models 3.2 Graphing Polynomial Functions 3.3 Polynomial Division; The Remainder and Factor Theorems 3.4 Theorems about Zeros of Polynomial Functions 3.5 Rational Functions 3.6 Polynomial and Rational Inequalities 3.7 Variation and Applications Chapter 4 Exponential and Logarithmic Functions 4.1 Inverse Functions 4.2 Exponential Functions and Graphs 4.3 Logarithmic Functions and Graphs 4.4 Properties of Logarithmic Functions 4.5 Solving Exponential and Logarithmic Equations 4.6 Applications and Models: Growth and Decay, and Compound Interest Chapter 5 The Trigonometric Functions 5.1 Trigonometric Functions of Acute Angles 5.2 Applications of Right Triangles 5.3 Trigonometric Functions of Any Angle 5.4 Radians, Arc Length, and Angular Speed 5.5 Circular Functions: Graphs and Properties 5.6 Graphs of Transformed Sine and Cosine Functions Chapter 6 Trigonometric Identities, Inverse Functions, and Equations 6.1 Identities: Pythagorean and Sum and Difference 6.2 Identities: Cofunction, Double-Angle, and Half-Angle 6.3 Proving Trigonometric Identities 6.4 Inverses of the Trigonometric Functions 6.5 Solving Trigonometric Equations Chapter 7 Applications of Trigonometry 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Complex Numbers: Trigonometric Form 7.4 Polar Coordinates and Graphs 7.5 Vectors and Applications 7.6 Vector Operations Chapter 8 Systems of Equations and Matrices 8.1 Systems of Equations in Two Variables 8.2 Systems of Equations in Three Variables 8.3 Matrices and Systems of Equations 8.4 Matrix Operations 8.5 Inverses of Matrices 8.6 Determinants and Cramer's Rule 8.7 Systems of Inequalities and Linear Programming 8.8 Partial Fractions Chapter 9 Analytic Geometry Topics 9.1 The Parabola 9.2 The Circle and the Eclipse 9.3 The Hyperbola 9.4 Nonlinear Systems of Equations and Inequalities 9.5 Rotation of Axes 9.6 Polar Equations of Conics 9.7 Parametric Equations Chapter 10 Sequences, Series, and Combinatorics 10.1 Sequences and Series 10.2 Arithmetic Sequences and Series 10.3 Geometric Sequences and Series 10.4 Mathematical Induction 10.5 Combinatorics: Permutations 10.6 Combinatorics: Combinations 10.7 The Binomial Theorem 10.8 Probability Appendix: Basic Concepts from Geometry Table of Contents
Get Precalculus, 3rd Edition by Judith A. Beecher, Indiana University Purdue University Indianapolis Judith A. Penna, Indiana University Purdue University Indianapolis Marvin L. Bittinger, Indiana University Purdue University Indianapolis
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