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CalculusA 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 |
| 25 weeks ARE YOU READY? SYLLABUS |
Schedule
|
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 |
Andrew Sayler |
$810
(~$33/lesson)
$869 w/books
|
$810
(~$33/lesson)
CLOSED
With Books $869
|
|
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 |
Dan Kneezel |
$810
(~$33/lesson)
$869 w/books
|
$810
(~$33/lesson)
CLOSED
With Books $869
|
|
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 |
Radu Andrei Cebanu |
$810
(~$33/lesson)
$869 w/books
|
$810
(~$33/lesson)
ENROLL
With Books $869
|
|
Friday
Feb 28 - Aug 22 |
7:30 - 9:30 PM ET
Feb 28 - Aug 22
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 |
Jeffrey Hankins |
$810
(~$33/lesson)
$869 w/books
|
$810
(~$33/lesson)
ENROLL
With Books $869
|
|
Sunday
Mar 30 - Oct 5 |
7:30 - 9:30 PM ET
Mar 30 - Oct 5
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 |
Carlos Bovell |
$810
(~$33/lesson)
$869 w/books
|
$810
(~$33/lesson)
ENROLL
With Books $869
|
AoPS Holidays
There are no classes November 25 ‐ December 1, December 21 ‐ January 3, May 24 ‐ 26, July 4 ‐ 6, August 29 ‐ September 1, and October 31, 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 |
