# Math CLEPCalculus CLEP

Math 1A/1B: Pre-Calculus (English)
By The University of California Irvine
Online Course
Self-paced

This Pre-Calculus course is designed to prepare students for a calculus course. This course is taught so that students will acquire a solid foundation in algebra and trigonometry. The course concentrates on the various functions that are important to the study of the calculus.

Syllabus

Calculus One
By The Ohio State University via Coursera
Online Course
Self-paced (25 hours)

This course is a first and friendly introduction to calculus, suitable for someone who has never seen the subject before, or for someone who has seen some calculus but wants to review the concepts and practice applying those concepts to solve problems.

Syllabus

1. Welcome to Calculus One
2. Functions and Limits
3. The End of Limits
4. The Beginning of Derivatives
5. Techniques of Differentiation
6. Chain Rule
7. Derivatives of Transcendental (Trigonometric) Functions
8. Derivatives in the Real World
9. Optimization
10. Linear Approximation
11. Antidifferentiation
12. Integration
13. Fundamental Theorem of Calculus
14. Substitution Rule
15. Techniques of Integration
16. Applications of Integration

Calculus Two: Sequences and Series
By The Ohio State University via Coursera
Online Course
Self-paced (13 hours)

Calculus Two: Sequences and Series is an introduction to sequences, infinite series, convergence tests, and Taylor series. The course emphasizes not just getting answers, but asking the question "why is this true?"

Syllabus

1. Sequences
2. Series
3. Convergence Tests
4. Alternating Series
5. Power Series
6. Taylor Series

Online Course
Self-paced

Khan Academy is one of the leaders in free online education, with the majority of courses being taught by Salman Khan, the site’s founder. It offers a personalized learning resource for all ages delivering interactive courses via videos and practice exercises.
Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus. The fathers of modern calculus, Isaac Newton and Gottfried Leibniz, independently formulated the fundamental theorem of calculus relating differentiation and integration. Differential calculus and integral calculus are connected by the fundamental theorem of calculus, which states that differentiation is the reverse process to integration.

Syllabus

Online Course
Self-paced

Khan Academy is one of the leaders in free online education, with the majority of courses being taught by Salman Khan, the site’s founder. It offers a personalized learning resource for all ages delivering interactive courses via videos and practice exercises.
The tutorials in this integral calculus program include: integrals and their inverse, differentials, derivatives, anti-derivatives, and approximating the area of curvilinear regions.

Syllabus