Real Numbers and the Rectangular Coordinate System
Introduction to Relations and Functions
Linear Functions
Equations of Lines and Linear Models
Linear Equations and Inequalities
Applications of Linear Functions
Graphs of Basic Functions and Relations; Symmetry
Vertical and Horizontal Shifts of Graphs
Stretching, Shrinking, and Reflecting Graphs
Absolute Value Functions: Graphs, Equations, Inequalities, and Applications
Piecewise-Defined Functions
Operations and Composition
Complex Numbers
Quadratic Functions and Graphs
Quadratic Equations and Inequalities
Further Applications of Quadratic Functions and Models
Higher-Degree Polynomial Functions and Graphs
Topics in the Theory of Polynomial Functions (I)
Topics in the Theory of Polynomial Functions (II)
Polynomial Equations and Inequalities; Further Applications and Models
Rational Functions and Graphs
More on Graphs of Rational Functions
Rational Equations, Inequalities, Applications, and Models
Functions Defined by Powers and Roots
Equations, Inequalities, and Applications Involving Root Functions
Inverse Functions
Exponential Functions
Logarithms and Their Properties
Logarithmic Functions
Exponential and Logarithmic Equations and Inequalities
Further Applications and Modeling with Exponential Logarithmic Functions
Systems of Equations
Solution of Linear Systems in Three Variables
Solution of Linear Systems by Row Transformations
Matrix Properties and Operations
Determinants and Cramer's Rule
Solution of Linear Systems by Matrix Inverses
Systems of Inequalities and Linear Programming
Partial Fractions