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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. This course is approved by the College Board as an AP Calculus BC class for students in grades 9-12, however, "AP exam preparation" is not the main focus of the course. |
25 weeks |
| 25 weeks ARE YOU READY? SYLLABUS |
Schedule
|
Wednesday
Sep 30 - Apr 7 |
7:30 - 9:30
PM ET
Sep 30 - Apr 7
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 |
$675
$729 w/books
|
$675
ENROLL
With Books $729
|
| Spring 2021 | This course will be offered in Spring 2021. Click here to join our mailing list to be notified when the course schedule is available. | |||
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 | Alternative Representations |
| Lesson 8 | More Derivative Applications |
| Lesson 9 | Related Rates |
| Lesson 10 | Sums |
| Lesson 11 | Integration I |
| Lesson 12 | Integration II |
| Lesson 13 | Integration III |
| Lesson 14 | Integration |
| 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 |
| Lesson 24 | Some Harder Problems |
| Lesson 25 | Course Review |
Required Textbook
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Calculus A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations. |
