Course Prerequisites

• Real Numbers
• Exponents and Scientific Notation
• Radicals and Rational Exponents
• Points and Lines in the Plane
• Equations of Lines
• Models and Applications
• Complex Numbers
• Quadratic Equations
• Equation-Solving Techniques
• Linear Inequalities and Absolute Value Inequalities
• Polynomial Basics
• Factoring Polynomials
• Rational Expressions

Unit 1: Graphs and Functions

• Characteristics of Functions and Their Graphs
• Domain and Range of Functions
• Rates of Change and Behavior of Graphs
• Linear Functions
• Graphing and Writing Equations of Linear Functions
• Modeling With Linear Functions
• Compositions of Functions
• Transformations of Functions
• Inverse Functions

Unit 2: Polynomial and Rational Functions

• Graphs of Quadratic Functions
• Analysis of Quadratic Functions
• Quadratic Inequalities
• Characteristics of Power and Polynomial Functions
• Graphs of Polynomial Functions
• Divide Polynomials
• Methods for Finding Zeros of Polynomials
• Rational Functions
• Radical Inequalities

Unit 3: Exponential and Logarithmic Functions

• Exponential Functions
• Graphs of Exponential Functions
• Logarithmic Functions
• Graphs of Logarithmic Functions
• Logarithmic Properties
• Exponential and Logarithmic Equations
• Exponential and Logarithmic Models

Unit 4: Systems, Matrices, Conic Sections, Sequences & Series

• Systems of Linear Equations: Two Variables
• Systems of Linear Equations: Three Variables
• Gaussian Elimination
• Determinants and Cramer’s Rule
• Systems of Nonlinear Equations and Inequalities
• Matrices and Matrix Operations
• Solve Systems with Inverses
• The Parabola
• Circles
• The Ellipse
• The Hyperbola

Additional Assignments

• Sequences and Their Notations
• Arithmetic Sequences
• Geometric Sequences
• Series and Their Notations

Course Enrichment

• Variation
• Partial Fractions: an Application of Systems

• Counting Principles
• Probability