- Course type: Self-paced
- Available Lessons: 108
- Average Lesson Length: 8 min
Eligible for Certificate:
Certificates show that you have completed the course. They do not provide credit.
Watch a preview:chapter 1 / lesson 1What are the Different Types of Numbers?
Course SummaryStudy all the important topics you'll need to know to earn a College Mathematics Certificate with this prep course. After you take the lesson quizzes and tests in these chapters, you'll feel more confident in your ability to get the best grade possible.
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Course Practice TestCheck your knowledge of this course with a 50-question practice test.
- Comprehensive test covering all topics
- Detailed video explanations for wrong answers
About This Course
In as little as two weeks, you can earn your College Mathematics Certificate by watching engaging and concise video lessons that focus on improving your understanding of key mathematics concepts and feature step-by-step instructions for solving common math problems. These fun lessons introduce you to systems of equations, the five main exponent properties, logarithmic properties, and more.
Who's This For?
This course could prove useful to small business owners, retail and sales professionals or anyone who wants to brush up on or improve their basic math skills.
No prerequisites are needed for this course. Students can get started without delay.
Benefits of the Certificate
Earning a college math certificate can provide you with skills you can apply in work, school, and daily life:
- Interpret graphs and diagrams
- Understand the meaning of statistics
- Apply logical thinking skills to arguments
- Demonstrate a commitment to continuing your studies and solidifying your mathematical knowledge
College Mathematics Program Breakdown
You can get started with introductory chapters on math foundations before advancing to lessons on exponents, logarithms, and polynomial functions.
Begin by learning about the various kinds of numbers, from natural to irrational. Build on that foundational knowledge to understand prime factorization, the lowest common factor, the parts of a graph, and formulas, such as the midpoint and distance formulas.
Explore linear equations in theory and practice. Practice graphing and writing linear equations. Define a system of equations.
Solving and Graphing Inequalities
Graph 1- and 2-variable inequalities. Master absolute value inequalities.
Graphing and Factoring Quadratic Equations
Discover the three forms of parabolas in this chapter, and learn how to interpret values in each type. Explore the uses of FOIL to multiply binomials and factor quadratic equations. You'll also learn to complete the square and solve quadratics that aren't in standard form.
Complex and Imaginary Numbers
Find out what's involved in adding, subtracting, multiplying, and dividing complex numbers. Learn how to graph numbers on a complex plane and solve quadratics that result in complex numbers.
Properties of Exponents
This chapter teaches you the five main exponent properties and their uses. You'll learn how to define zero and negative exponents and simplify expressions with rational exponents.
Properties of Polynomial Functions
See how cubics, quartics, and quintics are graphed. Learn how to add, subtract, and multiply polynomials. Explore different methods for dividing polynomials, including using long division and synthetic division.
Simplifying and Solving Rational Expressions
The focus here is on multiplying, dividing, adding, and subtracting rational expressions. You'll also find out how to solve rational equations.
Properties of Functions
Learn how to shift graphs on a plane, compose functions and apply function operations. You'll also learn about the values not allowed in a function, and discover methods for finding an inverse function.
Logarithms and Exponential Equations
Examine graphs depicting exponential growth and decay. Survey logarithmic properties, and find out how to solve logarithmic and exponential equations.
Discover how critical thinking and logic are used in math. Learn about logical fallacies, truth values, and logical math connectors. Find out how to use conditional statements and logical equivalence.
This chapter teaches you about mathematical sets and subsets. You'll learn how to find the Cartesian product, use a Venn diagram, and change categorical propositions to standard form.
Probability and Statistics
Learn how to interpret pie charts and bar graphs, use relative and cumulative frequency tables to calculate percent increase, and determine the probability of simple and compound events. Get tips for calculating simple conditional probabilities, permutations, and probabilities of permutations.
Wrap up your course with lessons on the properties of different shapes. Learn how to calculate the perimeter of triangles and the area of rectangles. Explore real-life applications for the Pythagorean Theorem before examining similar triangles as well as parallel, perpendicular, and transverse lines.
Earning College Credit
Did you know… We have over 160 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
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