Precalculus: A Right Triangle Approach, 5th edition
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Overview
Precalculus: A Right Triangle Approach helps you "see the math" through a focus on visualization and early introduction to functions. The author team covers review topics to give you a solid foundation for approaching the new material.
Published by Pearson (August 1st 2021) - Copyright © 2016
ISBN-13: 9780137617289
Subject: Precalculus, College Algebra & Trigonometry
Category: Precalculus
Table of contents
Table of Contents
- 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 Linear Equations, Functions, Zeros, and Applications
- 1.6 Solving Linear Inequalities
- More on Functions
- 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
- 2.2 The Algebra of Functions
- 2.3 The Composition of Functions
- 2.4 Symmetry
- 2.5 Transformations
- 2.6 Variation and Applications
- Quadratic Functions and Equations; Inequalities
- 3.1 The Complex Numbers
- 3.2 Quadratic Equations, Functions, Zeros, and Models
- 3.3 Analyzing Graphs of Quadratic Functions
- 3.4 Solving Rational Equations and Radical Equations
- 3.5 Solving Equations and Inequalities with Absolute Value
- Polynomial Functions and Rational Functions
- 4.1 Polynomial Functions and Models
- 4.2 Graphing Polynomial Functions
- 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
- 4.4 Theorems about Zeros of Polynomial Functions
- 4.5 Rational Functions
- 4.6 Polynomial Inequalities and Rational Inequalities
- Exponential Functions and Logarithmic Functions
- 5.1 Inverse Functions
- 5.2 Exponential Functions and Graphs
- 5.3 Logarithmic Functions and Graphs
- 5.4 Properties of Logarithmic Functions
- 5.5 Solving Exponential Equations and Logarithmic Equations
- 5.6 Applications and Models: Growth and Decay; Compound Interest
- The Trigonometric Functions
- 6.1 Trigonometric Functions of Acute Angles
- 6.2 Applications of Right Triangles
- 6.3 Trigonometric Functions of Any Angle
- 6.4 Radians, Arc Length, and Angular Speed
- 6.5 Circular Functions: Graphs and Properties
- 6.6 Graphs of Transformed Sine and Cosine Functions
- Trigonometric Identities, Inverse Functions, and Equations
- 7.1 Identities: Pythagorean and Sum and Difference
- 7.2 Identities: Cofunction, Double-Angle, and Half-Angle
- 7.3 Proving Trigonometric Identities
- 7.4 Inverses of the Trigonometric Functions
- 7.5 Solving Trigonometric Equations
- Applications of Trigonometry
- 8.1 The Law of Sines
- 8.2 The Law of Cosines
- 8.3 Complex Numbers: Trigonometric Notation
- 8.4 Polar Coordinates and Graphs
- 8.5 Vectors and Applications
- 8.6 Vector Operations
- Systems of Equations and Matrices
- 9.1 Systems of Equations in Two Variables
- 9.2 Systems of Equations in Three Variables
- 9.3 Matrices and Systems of Equations
- 9.4 Matrix Operations
- 9.5 Inverses of Matrices
- 9.6 Determinants and Cramer’s Rule
- 9.7 Systems of Inequalities and Linear Programming
- 9.8 Partial Fractions
- Conic Sections
- 10.1 The Parabola
- 10.2 The Circle and the Ellipse
- 10.3 The Hyperbola
- 10.4 Nonlinear Systems of Equations and Inequalities
- 10.5 Rotation of Axes
- 10.6 Polar Equations of Conics
- 10.7 Parametric Equations
- Sequences, Series, and Combinatorics
- 11.1 Sequences and Series
- 11.2 Arithmetic Sequences and Series
- 11.3 Geometric Sequences and Series
- 11.4 Mathematical Induction
- 11.5 Combinatorics: Permutations
- 11.6 Combinatorics: Combinations
- 11.7 The Binomial Theorem
- 11.8 Probability
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