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College Algebra Explained
Rating: 4.0 out of 5(19 ratings)
183 students

College Algebra Explained

Learn basic algebra skills through concise and clear examples
Created byShaun Reilly
Last updated 2/2020
English

What you'll learn

  • complete college algebra level problems

Course content

1 section29 lectures4h 46m total length
  • Introduction2:39

    A brief introduction to who I am as well as a description of what you will learn in this course.

  • Solving Equations in One Variable7:34

    At the end of this section you will be able to solve equations with 1 variable using the addition property of equality and the subtraction property of equality.

  • Solving and Graphing Inequalities14:38

    You will be able to solve and graph inequalities.  I will explain how this is different than solving equations.

  • Absolute Value and Inequality Equations and Using the Coordinate System8:42

    You will be able to solve inequalities involving absolute value as well as using the coordinate system to graph them correctly.

  • Introduction to Linear Functions Part 112:11

    You will be able to work with linear functions.

  • Introduction to Linear Functions Part 216:32

    You will be able to work with linear functions.

  • Continuing Linear Functions11:29

    You will further examine operations on linear functions.

  • Completing Inequalities in Two Variables and Systems of Equations9:02

    You will be able to complete inequalities in two variables, as well as work with the graphing method of solving systems of equations.

  • Continuing Systems of Equations9:10

    You will continue looking at systems of equations, and will be able to solve them using substitution and elimination.

  • Final Part of Systems of Equations5:09

    We will continue to look at systems of equations, and you will be able to solve them using substitution and elimination.  

  • Using Determinants and Matrices7:10

    You will be able to use determinants of matrices as well as other elementary operations.

  • Determinants and Matrices Part 211:49

    Further discuss matrices and their uses.

  • Review of Factoring Part 113:52

    Review of factoring.

  • Review of Factoring Part 29:33

    Review of factoring.

  • Understanding Rational Functions9:41

    You will learn about rational functions and how to work with them.

  • Understanding Operations on Rational Expressions and Complex Fractions10:01

    You will be able to perform operations on rational expressions and complex fractions.

  • Simplifying Complex Fractions and Rational Equations8:11

    You will be able to manipulate rational expressions and complex fractions in order to represent them in simplest form.

  • Using Rational Exponents8:09

    You will be able to use rational exponents to represent numbers.

  • Operations on Radical Expressions and Radical Functions Part 110:49

    You will be able to operate on radical expressions as well as radical functions.

  • Operations on Radical Expressions and Radical Functions Part 222:07

    You will be able to operate on radical expressions as well as radical functions.

  • Solving Equations Containing Radical Functions and Using Complex Numbers12:29

    You will be able to solve equations containing radical functions, and use complex numbers.

  • Solving Quadratic Equations6:18

    You will be able to solve quadratic equations.

  • Properties of Quadratic Functions Part 113:20

    You will learn the properties of quadratic functions.

  • Properties of Quadratic Functions Part 28:24

    You will learn the properties of quadratic functions.

  • Applications of Quadratic Functions4:14

    You will be able to apply quadratic functions to solve real world problems using the minimum and maximum.

  • Translations of Graphs and the Algebra of Functions6:09

    You will be able to translate graphs along the x and y axis.

  • Exponential and Logarithmic Functions Part 17:07

    You will be able to work with exponential and logarithmic functions.

  • Exponential and Logarithmic Functions Part 213:56

    You will be able to work with exponential and logarithmic functions.

  • Exponential and Logarithmic Equations Part 36:04

    You will be able to work with exponential and logarithmic functions.

Requirements

  • Students will need basic mathematics and computational skills

Description

Welcome to High School Algebra 2 / College Algebra explained.

Hi, my name is Shaun Reilly and I have been a math and computer science teacher for over 10 years.  I have taught everything from Algebra and Geometry to Game Design and AP Computer Science.  Because of the varying ranges of difficulty that my courses have, I also have much greater flexibility in teaching a wide range of students on different skill levels.   Whether you have taken a College Algebra class in the past and just need to brush up, or you are a current or even future student who wants to get jump on concepts or have the concepts explained in a different way, this is the class for you.  In addition, this class mimics many of the concepts found in a High School Algebra 2 class as well, so those students can also benefit from the material.

This course is broken up into learning sections, each having 3 items.  The first item is guided notes.  This section explains the theory behind what you will learn, as well as some facts about why the concepts within that section are important.  As math teachers we tend not to spend enough time telling the importance of the subject matter, and how it actually pertains to real life.  The second item consists of example problems that I complete step by step.  I highlight problem areas and give you tips for solving problems of that type.   The third and final item consists of extra homework problems for you to try, along with an answer key. 

After completing this course, you will have a strong foundation in advanced Algebra concepts, and you should be ready to take a more advanced course such as Trigonometry or Pre-Calculus.

During this course I will cover a wide variety of Algebra topics including, but not limited to:


-Solving and graphing linear equations and inequalities

-Solving systems of linear equations

-Using matrices

-Factoring monomials, binomials, and polynomials

-Using rational expressions, equations, and exponents, and solving quadratic equations

-Working with exponential and logarithmic functions and equations  


If that sounds like a lot…it is!  But I will be here walking you through step by step with tons of examples and background information.

The ideal student for this course really varies.  You could be a high school student who will be taking or is currently taking Algebra 2, a college student who will be taking or is currently taking a College Algebra course, or someone who wants to take a more advanced math course such as Trigonometry or Pre-Calculus and wants to brush up on their Algebra skills beforehand. 

Thanks for your interest in High School Algebra 2/ College Algebra Explained.  If you’re still unsure if this is the right course for you, please try the free preview of this course.  I’m hoping that after a few minutes you’ll see how valuable this course really can be.  See you in the classroom!

Who this course is for:

  • High school and college algebra students, or anyone who wants to learn algebra concepts