Precalculus

Academic Year Mathematics

Our Precalculus class prepares students for a variety of college-level courses. Precalculus provides a deep exploration of trigonometry, complex numbers, and two- and three-dimensional vector spaces, with a special focus on how these areas of mathematics are related. This gives students a solid foundation for collegiate courses in calculus, linear algebra, multi-variable calculus, complex analysis, and physics. Many of the challenging problems of Precalculus come from contests such as AMC 12, AIME, and the Harvard-MIT Math Tournament.

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 Precalculus by Art of Problem Solving.

Textbook

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 Precalculus course.

Problem 0
Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
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Problem 7
Problem 8
Problem 9
Problem 10
Problem 11

AoPS Academy is truly a wonderful place to learn advanced concepts in math. The academy has highly qualified instructors who not only help kids learn rigorous math concepts in great depth, but also inspire them to achieve the lofty heights that they are capable of. The instructors are truly an inspiration for my children due to their thoughtful mentoring. Thank you for everything you do for our kids.

Praveen T.