Section 1 . What Is Algebra?
Section 2 . Real Numbers
Section 3 . Exponents and Radicals
Section 4 . Algebraic Expressions
Section 5 . Fractional Expressions
Section 6 . Basic Equations

Section 1 . The Coordinate Plane
Section 2 . Graphs of Equations
Section 3 . Graphing Calculators and Computers
Section 4 . Lines

Section 1 . Algebraic and Graphical Solutions of Equations
Section 2 . Modeling with Equations
Section 3 . Quadratic Equations
Section 4 . Complex Numbers
Section 5 . Other Equations
Section 6 . Linear Inequalities
Section 7 . Nonlinear Inequalities
Section 8 . Absolute Value

Section 1 . What Is a Function?
Section 2 . Graphs of Functions
Section 3 . Applied Functions: Variation
Section 4 . Average Rate of Change: Increasing and Decreasing Functions
Section 5 . Transformations of Functions
Section 6 . Extreme Values of Functions
Section 7 . Combining Functions
Section 8 . One-to-One Functions and Their Inverses

Section 1 . Polynomial Functions and Their Graphs
Section 2 . Dividing Polynomials
Section 3 . Real Zeros of Polynomials
Section 4 . The Fundamental Theorem of Algebra
Section 5 . Rational Functions

Section 1 . Exponential Functions
Section 2 . The Natural Exponential Function
Section 3 . Logarithmic Functions
Section 4 . Laws of Logarithms
Section 5 . Exponential and Logarithmic Equations
Section 6 . Applications of Exponential and Logarithmic Functions

Section 1 . Angle Measure
Section 2 . Trigonometry of Right Triangles
Section 3 . Trigonometric Function of Angles
Section 4 . The Law of Sines
Section 5 . The Law of Cosines

Section 1 . The Unit Circle
Section 2 . Trigonometric Functions of Real Numbers
Section 3 . Trigonometric Graphs
Section 4 . More Trigonometric Graphs

Section 1 . Trigonometric Identities
Section 2 . Addition and Subtraction Formulas
Section 3 . Double-Angle, Half-Angle, and Product-Sum Formulas
Section 4 . Inverse Trigonometric Functions
Section 5 . Trigonometric Equations
Section 6 . Trigonometric Form of Complex Numbers
Section 7 . Vectors
Section 8 . The Dot Product

Section 1 . Systems of Equations
Section 2 . Pairs of Lines
Section 3 . Systems of Linear Equations
Section 4 . The Algebra of Matrices
Section 5 . Inverses of Matrices and Matrix Equations
Section 6 . Determinants and Cramer's Rule
Section 7 . Systems of Inequalities
Section 8 . Partial Fractions

Section 1 . Parabolas
Section 2 . Ellipses
Section 3 . Hyperbolas
Section 4 . Shifted Conics
Section 5 . Rotation of Axes
Section 6 . Polar Coordinates
Section 7 . Polar Equations of Conics
Section 8 . Parametric Equations

Section 1 . Sequences and Summation Notation
Section 2 . Arithmetic Sequences
Section 3 . Geometric Sequences
Section 4 . Annuities and Installment Buying
Section 5 . Mathematical Induction
Section 6 . The Binomial Theorem

Section 1 . Counting Principles
Section 2 . Permutations and Combinations
Section 3 . Probability
Section 4 . Expected Value