A course in single-variable calculus. This course covers limits, continuity, derivatives and their applications, definite and indefinite integrals, infinite sequences and series, plane curves, polar coordinates, and basic differential equations. At the conclusion of the course, students should have sufficient preparation to take the AP Calculus BC exam; however, "AP exam preparation" is not the main focus of the course.

This course is University of California a-g approved. Click here for more details.

25 weeks




25 weeks ARE YOU READY?  


Jun 21 - Dec 13
7:30 - 9:30
Jun 21 - Dec 13
7:30 - 9:30 PM Eastern
6:30 - 8:30 PM Central
5:30 - 7:30 PM Mountain
4:30 - 6:30 PM Pacific
Click here to see more time zones
$644 w/books
With Books $644
Fall 2017This course will be offered in Fall 2017. Click here to join our mailing list to be notified when the course schedule is available.

AoPS Holidays

There are no classes May 29, July 4, September 4, November 18 - 26, and December 21 - January 3.

Who Should Take?

Students who wish to enroll in Calculus should be able to easily solve most or all of the problems on the diagnostic test above without using a calculator.

Students who do not have a solid algebra background will not be successful in a good calculus course. It is vital that students have mastered the basic high-school math curriculum—algebra, geometry, trigonometry—before attempting a calculus course. Also, this class is considerably more difficult than a typical high-school calculus course, as there will be a greater emphasis on solving hard problems and less emphasis on "routine" calculations.


Lesson 1 Trig Functions, Logarithms, and Exponentials
Lesson 2 Sets and Functions
Lesson 3 Limits and Continuity
Lesson 4 Definition of the Derivative
Lesson 5 Chain Rule and Implicit Differentiation
Lesson 6 Interpretation of the Derivative
Lesson 7 Optimization
Lesson 8 More Derivative Applications
Lesson 9 Related Rates
Lesson 10 The Fundamental Theorem of Calculus
Lesson 11 Integration I
Lesson 12 Integration II
Lesson 13 Integration III
Lesson 14 Applications of the Integral
Lesson 15 Infinity
Lesson 16 Improper Integrals
Lesson 17 Sequences
Lesson 18 Taylor Series
Lesson 19 Parametric Curves
Lesson 20 Polar Coordinates
Lesson 21 Extra Problems Day
Lesson 22 Differential Equations I
Lesson 23 Differential Equations II
Lesson 24 Some Harder Problems
Lesson 25 Course Review

Required Textbook

By David Patrick

A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations.

I loved this course. Before this class, I thought calculus would be extremely hard to learn, but you taught me in a way easy to understand.


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