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