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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
Wednesday
Mar 29 - Sep 13 |
7:30 - 9:30 PM ET
Mar 29 - Sep 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 |
Emily Castner |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
CLOSED
With Books $829
|
Tuesday
Jun 6 - Dec 12 |
7:30 - 9:30 PM ET
Jun 6 - Dec 12
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 |
Christian Hokaj |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
CLOSED
With Books $829
|
Tuesday
Jun 6 - Dec 12 |
7:30 - 9:30 PM ET
Jun 6 - Dec 12
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 |
Marcus Neal |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
CLOSED
With Books $829
|
Thursday
Aug 17 - Feb 22 |
7:30 - 9:30 PM ET
Aug 17 - Feb 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 |
Eli Brottman |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
ENROLL
With Books $829
|
Wednesday
Sep 20 - Mar 27 |
7:30 - 9:30 PM ET
Sep 20 - Mar 27
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 Kinch |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
ENROLL
With Books $829
|
Tuesday
Oct 24 - May 7 |
9:30 - 11:30 PM ET —
Oct 24 - May 7
9:30 - 11:30 PM Eastern 8:30 - 10:30 PM Central 7:30 - 9:30 PM Mountain 6:30 - 8:30 PM Pacific Click here to see more time zones |
sarah-marie belcastro |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
ENROLL
With Books $829
|
Tuesday
Dec 12 - Jun 11 |
7:30 - 9:30 PM ET
Dec 12 - Jun 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 |
TBA |
$770
(~$31/week)
$829 w/books
|
$770
(~$31/week)
ENROLL
With Books $829
|
AoPS Holidays
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
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 |