# College Algebra with the Math Sorcerer

## What you'll learn

- How to Solve Linear Equations with and without Fractions
- How to Solve Rational Equations
- How to Solve Word Problems
- How to Add, Subtract, Multiply, and Divide Complex Numbers
- How to Solve Quadratic Equations by Factoring
- How to Solve Quadratic Equations using the Square Root Property
- How to Solve Quadratic Equations by Completing the Square
- How to Solve Quadratic Equations by using the Quadratic Formula
- How to Solve Equations with Square Roots
- How to Solve Equations with Rational Exponents
- How to Solve Equations by using Substitutions
- How to Solve Absolute Value Equations
- How to Solve Absolute Value Inequalities
- Understand what a Relation is
- Understand what a Function is
- How to Find the Domain and Range of a Relation
- How to Determine if a Relation is a Function
- How to use the Vertical Line Test
- How to Find Relative Extrema(Maximums and Minimums) from a Graph
- How to Determine where a Function is Increasing, Decreasing, or Constant from the Graph
- Understand Even and Odd Functions
- How to Determine if a Function is Even, Odd, or Neither
- How to Evaluate Piecewise Functions
- How to Compute the Difference Quotient
- How to Find the Slope of a Line
- How to Use the Slope Intercept Formula
- How to Use the Point Slope Formula
- How to Find the Equation of the Line that is Parallel to another Line
- How to Find the Equation of the Line that is Perpendicular to another Line
- How to Find the Average Rate of Change of a Function
- Knowledge of the Basic Graphs
- How to Graph the Standard Quadratic Function
- How to Graph the Standard Cubic Function
- How to Graph the Square Root Function
- How to Graph the Cube Root Function
- How to Graph the Absolute Value Function
- How to Find the Domain of Rational Functions
- How to Find the Domain of Square Root Functions
- Understand the Notion of Function Composition
- How to Find the Composition of Two Functions
- How to Find the Sum, Difference, Product, and Quotient of Functions and Find the Domain
- How to use the Horizontal Line Test
- Understand the Idea behind Inverse Functions
- How to Find the Inverse of a Function by Following a Series of Steps
- How to Find the Inverse of a Function by using Pure Understanding with No Work to Show(super awesome!!)
- How to Find the Midpoint of a Line Segment
- How to Find the Distance Between Two Points
- Understand the Concept of a Circle
- How to Find the Equation of a Circle in Various Scenarios
- How to Complete the Square to Write a Circle in Standard Form
- How to Graph a Circle and find it's Domain and Range
- Understand the Standard Form of a Quadratic Function
- How to Find the Vertex and Axis of Symmetry of a Quadratic Function in Standard Form
- How to Find the Vertex and Axis of Symmetry of a Quadratic Function in General Form using a Formula
- How to Graph a Quadratic Function
- Understand what Polynomials are and their Purpose
- Understand Properties of the Graphs of Polynomials
- How to Find the End Behavior of a Polynomial
- How to Find the Zeros of a Polynomial and their Multiplicities
- Understand How Multiplicities Affect the Behavior of Polynomial Functions at x-intercepts
- How to Graph Polynomial Functions
- How to Perform Long Division
- How to Perform Synthetic Division
- How to use the Rational Roots Theorem/Rational Zeros Theorem
- How to Solve Polynomial Equations
- How to Find a Polynomial given the Zeros and a Point
- How to Find the Holes and Vertical Asymptotes of a Rational Function
- How to Find the Horizontal Asymptotes of a Rational Function
- Two Important Graphs and Their Translations
- How to Find the Domain, Range, and Asymptotes from the Graph of a Rational Function
- Understand Direct, Inverse, and Joint Variation
- How to Graph Exponential Functions
- How to Convert from Exponential Form to Logarithmic Form
- How to Convert from Logarithmic Form to Exponential Form
- How to Compute Values of Logarithms
- How to Find the Domain of Logarithmic Functions
- How to Graph Logarithmic Functions
- How to use the Change of Base Formula
- How to Expand using the Properties of Logarithms(tons of examples!)
- How to Condense using the Properties of Logarithms(tons of examples!)
- How to Solve Exponential Equations(tons of examples!)
- How to Solve Logarithmic Equations(tons of examples!)
- How to Find the Inverse of Exponential Functions
- How to Find the Inverse of Logarithmic Functions
- Understand the Compound Interest Formula
- How to Find the Time Required to Double your Money
- How to Solve Linear Systems of Equations with Two Variables using the Addition/Elimination Method
- How to Solve Linear Systems of Equations with Two Variables using the Substitution Method
- How to Solve Linear Systems of Equations with Three Variables
- How to Solve Nonlinear Systems of Equations of Equations
- How to Graph Inequalities

## Requirements

- A Desire to Learn some Good Mathematics:)

## Description

**This is a complete college level course in Algebra, hence the name College Algebra:)**

**Basically just,**

**1) Watch the videos, and try to follow along with a pencil and paper, take notes! **

**2) Eventually you should be able to do the problems before I do them. Try! Keep watching until you can do the problems on your own:)**

**3) There are assignments throughout the course. Work through these if you need more practice.**

**4) Repeat!**

**If you finish even 50% of this course you will know A LOT of College Algebra and more importantly your Algebra skills will improve a ton!**

**College Algebra is an awesome class because it prepares you for higher level math in a big way. To be honest, lots of higher level math like Calculus isn't even that hard, it's the ALGEBRA that makes Calculus hard! This means if you become really good at Algebra then once you get to Calculus it will be much easier!**

**I hope you enjoy watching these videos and working through these problems as much as I have:)**

## Who this course is for:

- Everyone!

## Instructor

I was born on a small unnamed Island in the Pacific Ocean inhabited mostly by natives who practiced mathematics on a daily basis.

My mother was a witch who specialized in Calculus and my father was a warlock who was well versed in the dark arts of Algebra.

As I grew older so did my thirst for knowledge, and so I set out on a long voyage to improve my mathematical skills. I traveled the world for years and learned a great deal of mathematics, but it wasn't until I met that raging Hobbit that my true powers started to show.

I am here today to share my magical powers with you.

Come join on me on this journey as we explore the world of mathematics together.