College Algebra Explained
4.3 (8 ratings)
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College Algebra Explained

Learn basic algebra skills through concise and clear examples
4.3 (8 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
65 students enrolled
Created by Shaun Reilly
Last updated 6/2016
English
Price: $25
30-Day Money-Back Guarantee
Includes:
  • 5 hours on-demand video
  • 61 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
complete college algebra level problems
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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 is the target audience?
  • High school and college algebra students, or anyone who wants to learn algebra concepts
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Curriculum For This Course
Expand All 29 Lectures Collapse All 29 Lectures 04:46:38
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College Algebra Explained
29 Lectures 04:46:38

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

Preview 02:39

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 Equations in One Variable
07:43

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

Preview 14:38

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

Absolute Value and Inequality Equations and Using the Coordinate System
08:42

You will be able to work with linear functions.

Introduction to Linear Functions Part 1
12:11

You will be able to work with linear functions.

Introduction to Linear Functions Part 2
16:32

You will further examine operations on linear functions.

Continuing Linear Functions
11:29

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

Completing Inequalities in Two Variables and Systems of Equations
09:02

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

Continuing Systems of Equations
09:10

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

Final Part of Systems of Equations
05:09

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

Using Determinants and Matrices
07:10

Further discuss matrices and their uses.

Determinants and Matrices Part 2
11:49

Review of factoring.

Review of Factoring Part 1
13:52

Review of factoring.

Review of Factoring Part 2
09:33

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

Understanding Rational Functions
09:41

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

Understanding Operations on Rational Expressions and Complex Fractions
10:01

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

Simplifying Complex Fractions and Rational Equations
08:11

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

Using Rational Exponents
08:09

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

Operations on Radical Expressions and Radical Functions Part 1
10:49

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

Operations on Radical Expressions and Radical Functions Part 2
22:07

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

Solving Equations Containing Radical Functions and Using Complex Numbers
12:29

You will be able to solve quadratic equations.

Solving Quadratic Equations
06:18

You will learn the properties of quadratic functions.

Properties of Quadratic Functions Part 1
13:20

You will learn the properties of quadratic functions.

Properties of Quadratic Functions Part 2
08:24

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

Applications of Quadratic Functions
04:14

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

Translations of Graphs and the Algebra of Functions
06:09

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

Exponential and Logarithmic Functions Part 1
07:07

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

Exponential and Logarithmic Functions Part 2
13:56

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

Exponential and Logarithmic Equations Part 3
06:04
About the Instructor
Shaun Reilly
4.3 Average rating
8 Reviews
65 Students
1 Course
Algebra, Game Maker Studio, and AP Java Instructor

I am a current Computer Science and Math teacher at a high school in New Jersey, USA. I have taught both of these subject areas for over 10 years, including specialization in Algebra concepts, using Game Maker Studio, Visual Basic, and AP Computer Science using Java. I most enjoy teaching game design and computer science because it is great to have a product at the end of the course, and it is amazing to see what the students can do with what you have taught them.