Udemy - 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!
https://www.udemy.com/course/college-algebra-with-the-math-sorcerer/