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4 weeks / 6 hours per week

About This Course

This course, which covers the fundamentals taught in a first-semester calculus course, will provide you with an understanding of functions and their properties. Our goal as creators of this course is to prepare you to pass the College Board's CLEP examination and obtain college credit for free.

"Precalculus is a transitional course. There is a big difference between life before and after calculus, and I want to prepare you as much as possible for this fascinating subject. The precalculus CLEP exam will require us to study algebra and function theory in great detail. A huge emphasis is also placed on trigonometry," explains Dr. James Murphy, professor at Johns Hopkins University and instructor of this course.

“Precalculus” is a completely self-paced course. It has no prerequisites and it is offered entirely for free.

Course Staff


How is this course organized?

This course is organized into six modules that contain short video lessons, exercises and readings.

All of the course material has been released at once so you can complete it anytime.

What do I need to pass the CLEP exam?

You need to demonstrate the understanding and ability to solve routine and straightforward problems as well as non-routine ones.

This exam contains approximately 48 questions, in two sections, to be answered in 90 minutes. Please examine our syllabus.

How does this course differ from other CLEP textbooks and traditional courses?

This online course includes a carefully structured series of video lectures and exercises taught by a top quality university professor.




Navigating Through Our Platform

CLEP Program   

Modern States Education Alliance   

Introduce Yourself

1. Algebra

1.0 Introduction to Algebra   

1.1 Basic Algebra   

1.2 Equations   

1.3 Systems of Equations   

2. Function Theory

2.0 Introduction to Function Theory   

2.1 Introduction to Functions   

2.2 Algebra of Functions   

2.3 Domain and Range of a Function   

2.4 Inverse Functions   

3. Trigonometry

3.0 Introduction   

3.1 Introduction to Trigonometry   

3.2 Trigonometric Examples   

3.3 Radians   

3.4 Periodicity and Plotting Trigonometric Functions   

3.5 Major Trigonometric Identities   

3.6 Inverse Trigonometric Functions   

3.7 Domain and Range of Trigonometric Functions   

3.8 Laws of Sines and Cosines   

3.9 Trigonometric Equations   

4. Function Representations

4.0 Introduction to Function Representations   

4.1 Plotting Functions   

4.2 Return to Function Algebra   

4.3 Tabular Representations   

5. Modeling with Functions

5.0 Introduction to Modeling with Functions   

5.1 Linear Growth   

5.2 Exponential Growth   

5.3 Trigonometric Models   

6. Analytic Geometry

6.0 Introduction to Analytic Geometry   

6.1 Lines   

6.2 Idea of Conic Sections   

6.3 Circles   

6.4 Ellipses   

6.5 Parabolas   

6.6 Hyperbolas   

Sample CLEP Questions

Questions 1 - 15

Questions 16 - 30

Questions 31 - 45

Question 46 - 60

Questions 61 - 75

Question 76 - 90

Final Steps

Prof. James Murphy's Recommendation   

Register for the CLEP Exam   

Test Preparation Tips   

How Your Score Is Computed

Learn More