Art of Problem Solving

Math texts, online classes, and more for students in grades 5-12.

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Books for Grades 5-12 Online Courses

Engaging math books and online learning for students ages 6-13.

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Books for Ages 6-13 Beast Academy Online

Small live classes for advanced math and language arts learners in grades 2-12.

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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.

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

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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.