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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


Schedule in 2022-23

All times Eastern.

Saturday
2:45 – 4:30pm
Aug. 20, 2022 – June 3, 2023
ENROLL
5 spots left
Monday
7:15 – 9:00pm
Aug. 22, 2022 – June 5, 2023
ENROLL
5 spots left
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
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11

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.