1. Functions and their Graphs
Rectangular Coordinates. Graphs of Equations. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Mathematical Modeling and Variation. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. Polynomial and Rational Functions
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Complex Numbers. Zeros of Polynomial Functions. Rational Functions. Nonlinear Inequalities. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
3. Exponential and Logarithmic Functions Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 13. Proofs in Mathematics. P.S. Problem Solving.
4. Trigonometry
Radian and Degree Measure. Trigonometric Functions: The Unit Circle. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Graphs of Sine and Cosine Functions. Graphs of Other Trigonometric Functions. Inverse Trigonometric Functions. Applications and Models. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. Analytic Trigonometry
Using Fundamental Identities. Verifying Trigonometric Identities. Solving Trigonometric Equations. Sum and Difference Formulas. MultipleAngle and ProducttoSum Formulas. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
6. Additional Topics in Trigonometry
Law of Sines. Law of Cosines. Vectors in the Plane. Vectors and Dot Products. The Complex Plane. Trigonometric Form of a Complex Number. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 46. Proofs in Mathematics. P.S. Problem Solving.
7. Systems of Equations and Inequalities
Linear and Nonlinear Systems of Equations. TwoVariable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Summary and Study
8. Matrices and Determinants
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
9. Sequences, Series, and Probability
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Summary and Study Strategies. Review Exercises. Chapter Test. Cumulative Test for Chapters 79. Proofs in Mathematics. P.S. Problem Solving.
10. Topics in Analytic Geometry
Lines. Introduction to Conics: Parabolas. Ellipses. Hyperbolas. Rotation of Conics. Parametric Equations. Polar Coordinates. Graphs of Polar Equations. Polar Equations of Conics. Summary and Study Strategies. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
Appendix A
Review of Fundamental Concepts of Algebra.
A.1. Real Numbers and Their Properties.
A.2. Exponents and Radicals.
A.3. Polynomials and Factoring.
A.4. Rational Expressions.
A.5. Solving Equations.
A.6. Linear Inequalities in One Variable.
A.7. Errors and the Algebra of Calculus.
Appendix B
Concepts in Statistics (Web).
B.1 Representing Data.
B.2 Analyzing Data.
B.3 Modeling Data

Ron Larson
Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also written numerous acclaimed textbooks, including the bestselling Calculus Series published by Cengage. He is the recipient of the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS, the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS and the 2017 William Holmes McGuffey Longevity Award for CALCULUS. He also received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS  a complete text on CDROM that was the first mainstream college textbook to be offered on the internet.

NEW Review & Refresh exercises – cumulative review exercises from current or prerequisite courses within each section exercise set – prepare students for the next section and provide a general skill review throughout the text.

NEW Skills Refresher videos provide timely support by covering previously learned skills that students need to better understand a concept, example, or definition.

NEW Exploring the Concepts sections, Vocabulary and Concept Checks build student confidence and develop conceptual understanding.

REVISED Summary and Study Strategies for each chapter include explanations and examples of the key objectives and essential study skills to help students succeed in the course.

Learning support at Larson’s CalcChat.com provides students with free online tutoring and solutions to all oddnumbered problems.

SideBySide Examples help students see not only that a problem can be solved in more than one way but also how different methods – algebraic, graphical, and numerical – yield the same result. The sidebyside format also addresses many different learning styles.

Textspecific tutorial videos at Larson’s CalcView.com provide instruction with steppedout solutions for selected exercises.

‘How Do You See It?’ exercises in every section present reallife problems that students solve by visual inspection using the concepts in the lesson.

WebAssign provides instructors with the tools needed to build students’ confidence and elevate their performance. WebAssign offers builtin flexibility and control for instructors with high quality content that students can afford.

Algebra of Calculus examples and exercises throughout the text emphasize various algebraic techniques used in calculus.
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