Basic Concepts of Algebra

R Introduction to Graphs and the Graphing Calculator
R.1 The Real-Number System
R.2 Integer Exponents, Scientific Notation, and Order of Operations
R.3 Addition, Subtraction, and Multiplication of Polynomials
R.4 Factoring
R.5 Rational Expressions
R.6 Radical Notation and Rational Exponents
R.7 The Basics of Equation Solving

Graphs, Functions, and Models

1.1 Functions, Graphs, and Graphers
1.2 Linear Functions, Slope and Applications
1.3 Modeling: Data Analysis, Curve Fitting, and Linear Regression
1.4 More on Functions
1.5 Symmetry and Transformations
1.6 Variation and Applications
1.7 Distance, Midpoints, and Circles

Functions and Equations: Zeros and Solutions

2.1 Zeros of Linear Functions and Models
2.2 The Complex Numbers
2.3 Zeros of Quadratic Functions and Models
2.4 Analyzing Graphs of Quadratic Functions
2.5 Modeling: Data Analysis, Curve Fitting, and Quadratic Regression
2.6 Zeros and More Equation Solving
2.7 Solving Inequalities

Polynomial and Rational Functions

3.1 Polynomial Functions and Modeling
3.2 Polynomial Division; The Remainder and Factor Theorems
3.3 Theorems about Zeros of Polynomial Functions
3.4 Rational Functions
3.5 Polynomial and Rational Inequalities

Exponential and Logarithmic Functions

4.1 Composite and Inverse Functions
4.2 Exponential Functions and Graphs
4.3 Logarithmic Functions and Graphs
4.4 Properties of Logarithmic Functions
4.5 Solving Exponential and Logarithmic Equations
4.6 Applications and Models: Growth and Decay

Systems of Equations and Matrices

5.1 Systems of Equations in Two Variables
5.2 Systems of Equations in Three Variables
5.3 Matrices and Systems of Equations
5.4 Matrix Operations
5.5 Inverses of Matrices
5.6 Systems of Inequalities and Linear Programming
5.7 Partial Fractions

Conic Sections

6.1 The Parabola
6.2 The Circle and the Ellipse
6.3 The Hyperbola
6.4 Nonlinear Systems of Equations

Sequences, Series and Combinatorics

7.1 Sequences and Series
7.2 Arithmetic Sequences and Series
7.3 Geometric Sequences and Series
7.4 Mathematical Induction
7.5 Combinatorics: Permutations
7.6 Combinatorics: Combinations
7.7 The Binomial Theorem
7.8 Probability