Algebra & Trigonometry, 4th edition
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Overview
Hallmark features of this title
- The updated Interactive eTextbook adapts to devices and is easier to navigate. It has 800+ new high-definition videos that are playable within the eTextbook, and incorporates hundreds of worked-out examples and interactive figures.
- The Guided Notebook has been updated to better engage the student and follows the new version of the eTextbook. (Editable version included)
- New auto-scored Geogebra Sketching Exercises allow students to sketch graphs like they would by hand.
- Corequisite resources are now built in, with expanded review content in Chapter R and diagnostic assessments of prerequisite skills that can be personalized for student needs.
Published by Pearson (April 25th 2025) - Copyright © 2023
ISBN-13: 9780138062798
Subject: Precalculus, College Algebra & Trigonometry
Category: Algebra & Trigonometry
Table of contents
R. Review Chapter
- R.1 Real Numbers
- R.2 A Review of Fractions and the Order of Operations
- R.3 The Properties of Integer Exponents
- R.4 Radicals and Rational Exponents
- R.5 Polynomials
- R.6 Operations with Radicals
- R.7 Factoring Polynomials
- R.8 Rational Expressions
- R.9 The Addition and Multiplication Properties of Equality
- Chapter Summary
1. Equations, Inequalities, and Applications
- 1.1 Linear and Rational Equations
- 1.2 Applications of Linear Equations and Rational Equations
- 1.3 Complex Numbers
- 1.4 Quadratic Equations
- 1.5 Applications of Quadratic Equations
- 1.6 Other Types of Equations
- 1.7 Linear Inequalities in One Variable
- 1.8 Absolute Value Equations and Inequalities
- 1.9 Polynomial and Rational Inequalities
- Chapter Summary
2. The Rectangular Coordinate System, Lines, and Circles
- 2.1 The Rectangular Coordinate System
- 2.2 Circles
- 2.3 Lines
- 2.4 Parallel and Perpendicular Lines
- Chapter Summary
3. Functions
- 3.1 Relations and Functions
- 3.2 Properties of a Function's Graph
- 3.3 Graphs of Basic Functions; Piecewise Functions
- 3.4 Transformations of Functions
- 3.5 The Algebra of Functions; Composite Functions
- 3.6 One-to-One Functions; Inverse Functions
- Chapter Summary
4. Polynomial and Rational Functions
- 4.1 Quadratic Functions
- 4.2 Applications and Modeling of Quadratic Functions
- 4.3 The Graphs of Polynomial Functions
- 4.4 Synthetic Division; The Remainder and Factor Theorems
- 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra
- 4.6 Rational Functions and Their Graphs
- 4.7 Variation
- Chapter Summary
5. Exponential and Logarithmic Functions and Equations
- 5.1 Exponential Functions
- 5.2 Logarithmic Functions
- 5.3 Properties of Logarithms
- 5.4 Exponential and Logarithmic Equations
- 5.5 Applications of Exponential and Logarithmic Functions
- Chapter Summary
6. An Introduction to Trigonometric Functions
- 6.1 An Introduction to Angles: Degree and Radian Measure
- 6.2 Applications of Radian Measure
- 6.3 Triangles
- 6.4 Right Triangle Trigonometry
- 6.5 Trigonometric Functions of General Angles
- 6.6 The Unit Circle
- Chapter Summary
7. The Graphs of Trigonometric Functions
- 7.1 The Graphs of Sine and Cosine
- 7.2 More on Graphs of Sine and Cosine; Phase Shift
- 7.3 The Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
- 7.4 Inverse Trigonometric Functions I
- 7.5 Inverse Trigonometric Functions II
- Chapter Summary
8. Trigonometric Identities, Formulas, and Equations
- 8.1 Trigonometric Identities
- 8.2 The Sum and Difference Formulas
- 8.3 The Double-Angle and Half-Angle Formulas
- 8.4 The Product-to-Sum and Sum-to-Product Formulas
- 8.5 Trigonometric Equations
- Chapter Summary
9. Applications of Trigonometry
- 9.1 Right Triangle Applications
- 9.2 The Law of Sines
- 9.3 The Law of Cosines
- 9.4 Area of Triangles
- Chapter Summary
10. Polar Equations, Complex Numbers, and Vectors
- 10.1 Polar Coordinates and Polar Equations
- 10.2 Graphing Polar Equations
- 10.3 Complex Numbers in Polar Form; DeMoivre’s Theorem
- 10.4 Vectors
- 10.5 The Dot Product
- Chapter Summary
11. Conic Sections and Parametric Equations
- Introduction to Conic Sections
- 11.1 The Parabola
- 11.2 The Ellipse
- 11.3 The Hyperbola
- 11.4 Conic Sections in Polar Form
- 11.5 Parametric Equations
- Chapter Summary
12. Systems of Equations and Inequalities
- 12.1 Solving Systems of Linear Equations in Two Variables
- 12.2 Solving Systems of Linear Equations in Three Variables Using the Elimination Method
- 12.3 Solving Systems of Linear Equations in Three Variables Using Gaussian Elimination and Gauss-Jordan Elimination
- 12.4 Partial Fraction Decomposition
- 12.5 Systems of Nonlinear Equations
- 12.6 Systems of Inequalities
- Chapter Summary
13. Matrices
- 13.1 Matrix Operations
- 13.2 Inverses of Matrices and Matrix Equations
- 13.3 Determinants and Cramer's Rule
- Chapter Summary
14. Sequences and Series; Counting and Probability
- 14.1 Introduction to Sequences and Series
- 14.2 Arithmetic Sequences and Series
- 14.3 Geometric Sequences and Series
- 14.4 The Binomial Theorem
- 14.5 Mathematical Induction
- 14.6 The Theory of Counting
- 14.7 An Introduction to Probability
- Chapter Summary
Appendices
- A: Degree, Minute, A Second Form and Degree Decimal Form
- B: Conic Section Proofs
- B.1 Parabola Proofs
- B.2 Ellipse Proofs
- B.3 Hyperbola Proofs
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