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Full Description
Precalculus: A Unit Circle Approach gives you the strength of solid mathematics in an engaging, friendly way. It draws from the authors' extensive classroom experience to connect conceptual understanding while maintaining the level of mathematics required. In the 4th Edition new resources lift you to reach your full potential, including Key Ideas for the next section, objective video and note-taking guides, and much more. Nationally recognized instructors Jessica Bernards and Wendy Fresh join the author team to add fresh perspective to this revision.
Contents
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
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
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
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
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
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
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
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
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
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
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
Answers to Selected Exercises Credits Index
