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Scholars Math 11: 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
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Tuesday
Mar 3 - Aug 18 |
7:30 - 9:30 PM ET
Mar 3 - Aug 18
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 |
Martha Maria Bernal Guillen |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
CLOSED
With Books $894
|
|
Sunday
Apr 12 - Oct 18 |
7:30 - 9:30 PM ET
Apr 12 - Oct 18
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 |
Aaron Doman |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
With Books $894
Few Spots Left! |
|
Sunday
Jun 7 - Dec 13 |
7:30 - 9:30 PM ET
Jun 7 - 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 |
Achilleas Sinefakopoulos |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
With Books $894
|
|
Monday
Jun 29 - Jan 11 |
7:30 - 9:30 PM ET
Jun 29 - Jan 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 |
Andrew Sayler |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
With Books $894
|
|
Tuesday
Sep 8 - Mar 16 |
7:30 - 9:30 PM ET
Sep 8 - Mar 16
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 |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
With Books $894
|
|
Sunday
Oct 11 - Apr 25 |
7:30 - 9:30 PM ET
Oct 11 - Apr 25
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 |
Judy Frank |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
With Books $894
|
|
Thursday
Dec 3 - Jun 3 |
7:30 - 9:30 PM ET
Dec 3 - Jun 3
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 |
Jeffery Yu |
$835
(~$34/lesson)
$894 w/books
|
$835
(~$34/lesson)
With Books $894
|
AoPS Holidays
Who Should Take?
Students who wish to enroll in Scholars Math 11: 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 Text
|
Calculus A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations. |
