Algebra

Basic Concepts of Algebra

Real Number System

Integer Exponents, Scientific Notation, and Order of Operations

Polynomials

Factoring

Solving Equations

Rational Expressions

Radical Notation and Rational Exponents

Graphs, Functions, and Models

Intro to Graphing

Functions

Linear Functions and Slope

Equations of Lines

Linear Inequalities

Quadratic Functions, Equations, and Inequalities

Quadratic Equations

Quadratic Functions and Graphs

Solving Rational and Radical Equations

Solving Absolute Value Equations and Inequalities

Polynomial and Rational Functions

Polynomial Functions

Graphing Polynomial Functions

Polynomials Divison and the Remainder and Factor Theorems

Exponential and Logarithmic Functions

Inverse Functions

Exponential and Logarithmic Functions and Graphs

Properties of Logarithmic Functions

Solving Exponential and Logarithmic Equations

Applications

Systems of Equations and Matrices

Systems of Equations in Two Variables

Matrix Operations

Inverses of Matrices

Determinants and Cramer’s Rule

Systems of Inequalities and Linear Programming

Conic Sections

Intro to Conic Sections

Parabola

Ellipse and Circle

Hyperbola

Other Forms

Sequences and Series 

Intro to Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

Other Sequences and Series

Combinatorics

The Counting Principle, Combinations, and Permutations

The Binomial Theorem

Probability

Mathematical Induction