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Calculus

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. While "test preparation" is not the main focus, this course is approved by the College Board as an AP Calculus BC class for students in grades 9-12 and goes beyond a standard Calculus BC curriculum.

25 weeks

Diagnostics

ARE YOU READY?

Documents

SYLLABUS
25 weeks ARE YOU READY? SYLLABUS  

Schedule

Wednesday
Jun 19 - Dec 11
7:30 - 9:30
PM ET
Jun 19 - Dec 11
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL
1 spot left
Saturday
Sep 7 - Mar 15
1:00 - 3:00
PM ET  
Sep 7 - Mar 15
1:00 - 3:00 PM Eastern
12:00 - 2:00 PM Central
11:00 - 1:00 PM Mountain
10:00 - 12:00 PM Pacific
Click here to see more time zones
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL
Thursday
Sep 26 - Apr 10
7:30 - 9:30
PM ET
Sep 26 - Apr 10
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL
Tuesday
Dec 10 - Jun 10
7:30 - 9:30
PM ET
Dec 10 - Jun 10
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL

AoPS Holidays

There are no classes July 4, August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 2025.

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.

Lessons

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

Required Textbook

Calculus
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.
Related course: Calculus

I thoroughly enjoyed this course while learning a ton! While challenging, the homework was rewarding to complete. It taught me not only the core material, but also how to extend and combine everything I learned thus far. My favorite part, however, was how the instructor would always delve into applications of Calculus after teaching the material. Seeing that Calculus is constantly applied in many fields of physics helped bring it alive for me. I rarely walk out of an AP test feeling good, but I feel great about taking the AP Calculus BC exam--this course was excellent preparation for it. Thanks again--I've learned so much!