### This course includes the study of linear and quadratic equations, inequalities and their applications, polynomial, rational, exponential, and logarithmic functions, and systems of equations.

Lecture 0 – Course Introduction

Lecture 1 – Basics of Graphing

Lecture 2 – Basics of Function

Lecture 3 – Linear Equations

Review 1 – Systems of Equations

Review 2 – Factoring Polynomials

Review 3 – Complex Number System

Lecture 4 – Piecewise-Defined Functions

Lecture 5 – Transformations I

Lecture 6 – Transformations II

Lecture 7 – Creating Mega-Functions with Arithmetic Operations of Functions

Lecture 8 – Creating Mega-Functions with Function Composition

Lecture 9 – Inverse Functions or In Reverse

Lecture 10 – Solving Linear and Rational Equations

Lecture 11 – Solving Quadratic Equations

Lecture 12 – Solving Equations with Advanced Factoring

Lecture 13 – Solving Radical Equations

Lecture 14 – Graphing and Applying Quadratic Equations

Lecture 15 – Graphing Polynomials

Lecture 16 – Graphing Rational Functions Part 1

Lecture 17 – Graphing Rational Functions Part 2

Lecture 18 – Solving Polynomial and Rational Inequalities

Lecture 19 – Absolute Values

Lecture 20 – Basics of Exponential Functions

Lecture 21 – Interesting Applications

Lecture 22 – Basic Logarithms

Lecture 23 – Log Properties

Lecture 24 – Solving Exponential Equations

Lecture 25 – Solving Equations with Logarithms

Lecture 26 – Exponential Growth Day 1

Lecture 27 – Exponential Growth Day 2

Lecture 28 – Basics of Sequences

Lecture 29 – Arithmetic Sequences and Series

Lecture 30 – Geometric Sequences and Series

Lecture 31 – Binomial Expansions

Lecture 33 – Linear Equations and Direct Variation

Lecture 34 – Inverse, Joint and Combined Variations

Lecture 35 – Non-Linear Systems

Lecture 36 – Basics of Modeling

Instructor: **Patti Blanton**

Price: **Free**