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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 2023-24

All times Pacific.

Saturday
5:00 – 6:45pm
Aug. 19 – June 8
WAITLIST
Tuesday
6:15 – 8:00pm
Aug. 22 – June 4
ENROLL
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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

AoPS Academy has a superb curriculum, combined with outstanding teachers who have provided our son a fantastic foundation in mathematics. If only I could have experienced teaching like this when I was young, it would have changed my career choice. The academy is a perfect extension of school in that they challenge students to learn at a much deeper and rigorous level. They also stimulate their interest in mathematics by emphasizing analytical thought over rote memorization of formulas.

The academy truly lays a deep foundation in mathematical thinking for success in all areas involving STEM subjects. It is really exciting to be among teachers and children who love math!

The harder the problem - the more exciting it is to the students and teachers at AoPS Academy.

Molly and Richard T.