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

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 family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

Kelly B.,

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher