Precalculus Seventh Edition by Ron Larson and Robert Hostetler
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Precalculus Seventh Edition written by
Ron Larson, The Pennsylvania State University, The Behrend College and
Robert Hostetler, The Pennsylvania State University, The Behrend College. With the assistance of
David C. Falvo, The Pennsylvania State University, The Behrend College.
Precalculus Seventh Edition written by
Ron Larson,
Robert Hostetler and
David C. Falvo
. This book cover the following topics.
1. Functions and Their Graphs
1.1 Rectangular Coordinates
1.2 Graphs of Equations
1.3 Linear Equations in Two Variables
1.4 Functions
1.5 Analyzing Graphs of Functions
1.6 A Library of Parent Functions
1.7 Transformations of Functions
1.8 Combinations of Functions: Composite Functions
1.9 Inverse Functions
1.10 Mathematical Modeling and Variation
Chapter Summary Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
2. Polynomial and Rational Functions
2.1 Quadratic Functions and Models
2.2 Polynomial Functions of Higher Degree
2.3 Polynomial and Synthetic Division
2.4 Complex Numbers
2.5 Zeros of Polynomial Functions
2.6 Rational Functions
2.7 Nonlinear Inequalities
Chapter Summary Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
3. Exponential and Logarithmic Functions
3.1 Exponential Functions and Their Graphs
3.2 Logarithmic Functions and Their Graphs
3.3 Properties of Logarithms
3.4 Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
Chapter Summary Review Exercises
Chapter Test Cumulative Test: Chapters 1–3
Proofs in Mathematics P.S. Problem Solving
4. Trigonometry
4.1 Radian and Degree Measure
4.2 Trigonometric Functions: The Unit Circle
4.3 Right Triangle Trigonometry
4.4 Trigonometric Functions of Any Angle
4.5 Graphs of Sine and Cosine Functions
4.6 Graphs of Other Trigonometric Functions
4.7 Inverse Trigonometric Functions
4.8 Applications and Models
Chapter Summary Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
5. Analytic Trigonometry
5.1 Using Fundamental Identities
5.2 Verifying Trigonometric Identities
5.3 Solving Trigonometric Equations
5.4 Sum and Difference Formulas
5.5 Multiple-Angle and Product-to-Sum Formulas
Chapter Summary Review Exercises
Chapter Test Proofs in Mathematics
P.S. Problem Solving
6. Additional Topics in Trigonometry
6.1 Law of Sines
6.2 Law of Cosines
6.3 Vectors in the Plane
6.4 Vectors and Dot Products
6.5 Trigonometric Form of a Complex Number
Chapter Summary Review Exercises
Chapter Test Cumulative Test: Chapters 4–6
Proofs in Mathematics P.S. Problem Solving
7. Systems of Equations and Inequalities
7.1 Linear and Nonlinear Systems of Equations
7.2 Two-Variable Linear Systems
7.3 Multivariable Linear Systems
7.4 Partial Fractions
7.5 Systems of Inequalities
7.6 Linear Programming
Chapter Summary 562 Review Exercises
Chapter Test 567 Proofs in Mathematics
P.S. Problem Solving
8. Matrices and Determinants
8.1 Matrices and Systems of Equations
8.2 Operations with Matrices
8.3 The Inverse of a Square Matrix
8.4 The Determinant of a Square Matrix
8.5 Applications of Matrices and Determinants
Chapter Summary 631 Review Exercises
Chapter Test 637 Proofs in Mathematics
P.S. Problem Solving
9. Sequences, Series, and Probability
9.1 Sequences and Series
9.2 Arithmetic Sequences and Partial Sums
9.3 Geometric Sequences and Series
9.4 Mathematical Induction
9.5 The Binomial Theorem
9.6 Counting Principles
9.7 Probability
Chapter Summary Review Exercises
Chapter Test Cumulative Test: Chapters 7–9
Proofs in Mathematics P.S. Problem Solving
10. Topics in Analytic Geometry
10.1 Lines
10.2 Introduction to Conics: Parabolas
10.3 Ellipses
10.4 Hyperbolas
10.5 Rotation of Conics
10.6 Parametric Equations
10.7 Polar Coordinates
10.8 Graphs of Polar Equations
10.9 Polar Equations of Conics
Chapter Summary 800 Review Exercises
Chapter Test 805 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: college.hmco.com)
B.1 Representing Data
B.2 Measures of Central Tendency and Dispersion
B.3 Least Squares Regression
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