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CalculusA course in singlevariable 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 912, 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
CLOSED
With Books $729

Sunday
Jan 31  Aug 1 
7:30  9:30
PM ET
Jan 31  Aug 1
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 
Miles Dillon Edwards 
$705
$759 w/books

$705
ENROLL
With Books $759

Wednesday
Mar 17  Sep 1 
7:30  9:30
PM ET
Mar 17  Sep 1
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 
Elijah Tabachnick 
$705
$759 w/books

$705
ENROLL
With Books $759

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 highschool math curriculum—algebra, geometry, trigonometry—before attempting a calculus course. Also, this class is considerably more difficult than a typical highschool 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
Calculus A comprehensive textbook covering singlevariable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations. 