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COURSE CATALOG
Academic Year Mathematics
Math Level 1Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest Math
Academic Year Science
Intro to Mechanics
Academic Year Language Arts
Language Arts Level 2Language Arts Level 3Language Arts Level 4Language Arts Level 5Foundations MS LARhetoricExpositionAdvanced Language Arts Seminar
Summer Mathematics
Math Beasts Camp 2Math Beasts Camp 3Math Beasts Camp 4Math Beasts Camp 5Math Beasts Camp 6Math Beasts Camp 7-8Math Beasts Camp 8-9MS Contests Number Theory/GeometryMS Contests Algebra/CountingHigh School Math Contests
Summer Science
Waves and Sound 5-6
Summer Language Arts
Creative Writing 3-4Readers Theater 4-5Language Arts Triathlon 5-6Mythology 6-7Mock Trial 7-8Academic Essay Writing 8-10
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Calculus

Academic Year Mathematics

Our calculus class goes well beyond mechanics and calculators, and provides students a rigorous understanding of the fundamental operations of calculus, delivering a first-year calculus course like those students would find at a top-tier university. Students completing our calculus course will be in an excellent position to apply their new skills to physics, economics, engineering, and more advanced mathematics.

Homework and exams

Students should expect to spend 1-3 hours on homework every week. Homework will be assigned and completed through the class website, where students receive immediate feedback on their work. Students will take three in-class exams throughout the course.

Textbook

The textbook for the course is Calculus by Art of Problem Solving.

Hardcopy and lifetime digital access to the online version of the textbook are included in the tuition and fees of this course.

Syllabus

Schedule in 2022-23

All times Eastern.

Sunday
2:45 – 4:30pm
Sep. 11, 2022 – June 18, 2023
Sarah Gift
ENROLL
Sample Problems

Below are examples of some of the types of problems that students will encounter in our Calculus course.

Problem 0
Problem 1
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9

Our homeschooled son is extremely gifted in math and science.  He really feels at home at AoPS Academy.  Through coaching and personal attention at AoPS, he achieved a 5 in AP Calculus at 11 years old and a 4 in AP Statistics at 12.  He also achieved an 800 on SAT II math at 12 years old.  Our son feels very comfortable in the atmosphere of AoPS, where being gifted in math is not looked down on, but treated with respect.  He has truly found his peers at AoPS Academy. 

AoPS Academy allows my son to be himself, learn that there are other kids well advanced in math, and gives him the confidence to know that it is OK to be great in math, and that other people will respect and value his ability.

Neil D.