Precalculus: A Unit Circle Approach

Name: Precalculus: A Unit Circle Approach
Price: 94.99 USD
Availability: InStock
ISBN: 9780137552542

by J. S. Ratti, Marcus S. McWaters, Leslaw Skrzypek

4th Edition

Publisher: Pearson

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Pre-Calculus

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Book Details

Print ISBN	9780137552542
eText ISBN	9780137552450
Publisher	Pearson
Publishing Year	2023
Edition	4th Edition
Language	English

Precalculus: A Unit Circle Approach, 4th Edition, is a textbook designed to connect conceptual understanding with the required level of mathematics. Drawing on the authors' classroom experience, the text presents fundamental precalculus principles in an accessible format.

Core subject areas include polynomial, rational, exponential, and logarithmic functions, alongside comprehensive trigonometry developed through the unit circle. The text also covers systems of equations, analytic geometry, and introductory calculus.

The 2023 edition incorporates targeted study features to support learning, adding objective video guides, note-taking guides, and previews of key ideas for upcoming sections.

Chapter 1: Graphs and Functions
- • 1.1 The Coordinate Plane
- • 1.2 Graphs of Equations
- • 1.3 Lines
- • 1.4 Functions
- • 1.5 Properties of Functions
- • 1.6 A Library of Functions
- • 1.7 Transformations of Functions
- • 1.8 Combining Functions; Composite Functions
- • 1.9 Inverse Functions
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
Chapter 2: Polynomial and Rational Functions
- • 2.1 Quadratic Functions
- • 2.2 Polynomial Functions
- • 2.3 Dividing Polynomials and the Rational Zeros Test
- • 2.4 Rational Functions
- • 2.5 Polynomial and Rational Inequalities
- • 2.6 Zeros of a Polynomial Function
- • 2.7 Variation
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-2
Chapter 3: Exponential and Logarithmic Functions
- • 3.1 Exponential Functions
- • 3.2 Logarithmic Functions
- • 3.3 Rules of Logarithms
- • 3.4 Exponential and Logarithmic Equations and Inequalities
- • 3.5 Logarithmic Scales; Modeling
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-3
Chapter 4: Trigonometric Functions
- • 4.1 Angles and Their Measure
- • 4.2 The Unit Circle; Trigonometric Functions of Real Numbers
- • 4.3 Trigonometric Functions of Angles
- • 4.4 Graphs of the Sine and Cosine Functions
- • 4.5 Graphs of the Other Trigonometric Functions
- • 4.6 Inverse Trigonometric Functions
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-4
Chapter 5: Analytic Trigonometry
- • 5.1 Trigonometric Identities
- • 5.2 Sum and Difference Formulas
- • 5.3 Double-Angle and Half-Angle Formulas
- • 5.4 Product-to-Sum and Sum-to-Product Formulas
- • 5.5 Trigonometric Equations I
- • 5.6 Trigonometric Equations II
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-5
Chapter 6: Applications of Trigonometric Functions
- • 6.1 Right-Triangle Trigonometry
- • 6.2 The Law of Sines
- • 6.3 The Law of Cosines
- • 6.4 Vectors
- • 6.5 The Dot Product
- • 6.6 Polar Coordinates
- • 6.7 Polar Form of Complex Numbers; DeMoivre's Theorem
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-6
Chapter 7: Systems of Equations and Inequalities
- • 7.1 Systems of Equations in Two Variables
- • 7.2 Systems of Linear Equations in Three Variables
- • 7.3 Systems of Inequalities
- • 7.4 Matrices and Systems of Equations
- • 7.5 Determinants and Cramer's Rule
- • 7.6 Partial-Fraction Decomposition
- • 7.7 Matrix Algebra
- • 7.8 The Matrix Inverse
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-7
Chapter 8: Analytic Geometry
- • 8.1 Conic Sections: Overview
- • 8.2 The Parabola
- • 8.3 The Ellipse
- • 8.4 The Hyperbola
- • 8.5 Rotation of Axes
- • 8.6 Polar Equations of Conics
- • 8.7 Parametric Equations
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-8
Chapter 9: Further Topics in Algebra
- • 9.1 Sequences and Series
- • 9.2 Arithmetic Sequences; Partial Sums
- • 9.3 Geometric Sequences and Series
- • 9.4 Mathematical Induction
- • 9.5 The Binomial Theorem
- • 9.6 Counting Principles
- • 9.7 Probability
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
- • Cumulative Review Exercises Chapters 1-9
Chapter 10: An Introduction to Calculus
- • 10.1 Finding Limits Using Tables and Graphs
- • 10.2 Finding Limits Algebraically
- • 10.3 Infinite Limits and Limits at Infinity
- • 10.4 Introduction to Derivatives
- • 10.5 Area and the Integral
- • Key Ideas At a Glance
- • Review Exercises
- • Practice Test
Chapter A: Review
- • A.1 The Real Numbers; Integer Exponents
- • A.2 Polynomials
- • A.3 Rational Expressions
- • A.4 Radicals and Rational Exponents
- • A.5 Topics in Geometry
- • A.6 Equations
- • A.7 Inequalities
- • A.8 Complex Numbers