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Calculus

A 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

Diagnostics

ARE YOU READY?

Documents

SYLLABUS
25 weeks ARE YOU READY? SYLLABUS  

Schedule

Friday
Mar 1 - Aug 16
7:30 - 9:30
PM ET
Mar 1 - Aug 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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
CLOSED
Thursday
Mar 28 - Sep 19
7:30 - 9:30
PM ET
Mar 28 - Sep 19
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
CLOSED
Wednesday
Jun 19 - Dec 11
7:30 - 9:30
PM ET
Jun 19 - Dec 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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL
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
$790 (~$32/week)
$849 w/books
$790 (~$32/week)
With Books $849
ENROLL

AoPS Holidays

There are no classes May 25 ‐ 27, July 4, August 30 ‐ September 2, October 31, November 25 ‐ December 1, and December 21, 2024 ‐ January 3, 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

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

Required Textbook

Calculus
By David Patrick

A comprehensive textbook covering single-variable calculus. Specific topics covered include limits, continuity, derivatives, integrals, power series, plane curves, and differential equations.
Related course: Calculus

I enjoyed this course very much. I've had calculus before but this went into much more depth. I feel as if I have a much better understanding of how calculus works than I ever did before. My favourite classes were the ones where we had problem solving sessions. The difficult problems day was especially interesting. I'm really excited to learn more math; this class gave me a glimpse of what is to come!