Precalculus: A Concise Course – Ron Larson – 8th Edition

1. Functions And Their Graphs

Rectangular Coordinates

Graphs of Equations

Linear Equations in Two Variables

Functions

Analyzing Graphs of Functions

Quadratic Functions and Models

A Library of Functions

 

2. Polynomial And Rational Functions

Transformations of Functions

Mathematical Modeling and Variation

Combinations of Functions: Composite Functions

Inverse Functions

Polynomial Functions of Higher Degree

Polynomial and Synthetic Division

Complex Numbers

Zeros of Polynomial Functions

Rational Functions

Nonlinear Inequalities

 

3. Exponential And Logarithmic Functions

Exponential Functions and Their Graphs

 

4. Trigonometry

Radian and Degree Measure

Trigonometric Functions: The Unit Circle

Right Triangle Trigonometry

Trigonometric Functions of Any Angle

Logarithmic Functions and Their Graphs

Properties of Logarithms

Exponential and Logarithmic Equations

Exponential and Logarithmic Models

Graphs of Sine and Cosine Functions

Graphs of Other Trigonometric Functions

Inverse Trigonometric Functions

Applications and Models

 

5. Analytic Trigonometry

Using Fundamental Identities

Verifying Trigonometric Identities

Solving Trigonometric Equations

Sum and Difference Formulas

Multiple-Angle and Product-to-Sum Formulas

 

6. Additional Topics In Trigonometery

Law of Sines

Law of Cosines

Vectors in the Plane

Vectors and Dot Products

 

7. Systems Of Equations And Inequalities

Linear and Nonlinear Systems of Equations

Two-Variable Linear Systems

Multivariable Linear Systems

Partial Fractions

Systems of Inequalities

Linear Programming

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

 

8. Matrices And Determinants

The Binomial Theorem

Counting Principles

Probability

 

9. Sequences, Series, And Probability

Sequences and Series

Arithmetic Sequences and Partial Sums

Geometric Sequences and Series

Mathematical Induction

Trigonometric Form of a Complex Number

 

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

 

Appendix A. Review Of Fundamental Concepts Of Algebra

Real Numbers and Their Properties

Exponents and Radicals

Polynomials and Factoring

Rational Expressions

Solving Equations

Linear Inequalities in One Variable

Errors and the Algebra of Calculus

 

Appendix B. Concepts In Statistics (WEB)

Representing Data

Measures of Central Tendency and Dispersion

Least Squares Regression