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Course Description
Beginner to Intermediate Algebra is intended for students who need to gather a basic understanding of how to perform Algebra operations. This course will benefit current students and adult learners who need to know how to perform basic Algebra operations which involve simplifying, factoring, or solving equations in the form of inequalities, fractions, exponents and word problems.
This online course takes the student's knowledge of arithmetic and extends it by introducing the concepts of variables and functions. These new concepts allow students to solve a range of problems involving unknown quantities in areas such as geometry, probability and statistics, and various real-world scenarios.
Course Lessons
Lesson 1 – Algebra Terms and Motivation
This lesson will introduce you to the essential terminology of algebra as well as the reasons why studying algebra is important and helpful.
Lesson 2 – The Set of Real Numbers
Now that you have gained a grasp of the essential purpose of and some of the important terms used in algebra, we can move on to study the subject in more depth.
Lesson 3 – Algebraic Operations
In this lesson, you will learn (or review) how to perform addition, subtraction, multiplication, and division in the context of algebra.
Lesson 4 – Functions
Once you have mastered the basic concepts associated with functions, you will then have all the tools you need to get into the more complicated (and more fun) aspects of algebra.
Lesson 5 – Linear Equations
This lesson will introduce you to linear equations, including their properties, graphs, and solutions.
Lesson 6 – Linear Inequalities
A slight twist on the concept of a linear equation is the linear inequality. Linear inequalities, instead of equating two functions, relate two functions in terms of their relative magnitudes.
Lesson 7 – Systems of Linear Equations
This lesson will teach you how to solve so-called systems of linear equations using substitution and will extend your understanding beyond simple equations in two dimensions to equations in many dimensions.
Lesson 8 – Systems of Linear Inequalities
As with systems of linear equations, we can also handle systems of linear inequalities.
Lesson 9 – Solving Word Problems I
This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world.
Lesson 10 – Polynomial Functions
This lesson, then, will teach you some basic skills for dealing with problems that can arise in the real world.
Lesson 11 – Exponential and Logarithmic Functions
Now that we have covered polynomials, we will look at a special class of functions that differ quite drastically: logarithmic and exponential functions.
Lesson 12 – Polynomial Functions II
In this lesson, we will learn how to find solutions to higher-degree polynomial equations.
Lesson 13 – Application of Algebra to Geometry
In this lesson, we will apply what we've learned about algebra to the study of geometry. If you've carefully followed the course up to this point, much of what is discussed here should hold no surprises for you.
Lesson 14 – Application of Algebra to Statistics and Probability
Although this lesson assumes some prior knowledge of probability and statistics, the concepts presented from these areas are relatively simple and understandable.
Optional Certificates Awarded
Certificate of Merit
Certificate of Academic Excellence
In addition to the standard Certificate of Course Completion, Merit Awards may be issued by the instructor at his/her own discretion and are based on student achievement. Merit awards also incur an additional $30.00 processing fee that covers the customization, printing, and delivery of the award, as well as access to the UniversalClass™ Portfolio Service that documents your achievements online. Official Merit Awards have a serial number that verifies the authenticity of the award (great for employers to verify your achievement).
This is a non-credit course, and is provided for your personal enrichment.
This course is not intended to be a substitute for any state, government, licensing, or educational requirements.
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($65.00) This course will provide the learner with a better understanding of the underlying concepts of geometry. more
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