Enrollment for Summer 2023 camps is now open! VIEW COURSES
COURSE CATALOG COURSE SCHEDULE
Academic Year Mathematics
Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest Math
Academic Year Science
Intro to Mechanics
Academic Year Language Arts
Language Arts Level 2Language Arts Level 3Language Arts Level 4Language Arts Level 5Foundations MS LARhetoricExpositionAdvanced Language Arts Seminar
Summer Mathematics
Math Beasts Camp 2Math Beasts Camp 3Math Beasts Camp 4Math Beasts Camp 5Math Beasts Camp 6Math Beasts Camp 7-8Math Beasts Camp 8-9MS Contests Number Theory/GeometryMS Contests Algebra/CountingHigh School Math Contests
Summer Science
Waves and Sound 5-6
Summer Language Arts
Creative Writing 3-4Readers Theater 4-5Language Arts Triathlon 5-6Mythology 6-7Mock Trial 7-8Academic Essay Writing 8-10
TUITION
Free Consultation

Schedule a free consultation and assessment of your child’s readiness for AoPS Academy.

Schedule an Appointment

Need Help?

Need more information about an AoPS Academy course?

Ask AoPS Academy!

AoPS Academy Contests

A variety of contests are available to AoPS Academy students.

View More Details

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.

Sunday
10:15 – Noon
Aug. 21, 2022 – June 4, 2023
John Allums
ENROLL
Monday
7:15 – 9:00pm
Aug. 22, 2022 – May 22, 2023
Tim MacNeil
ENROLL
2 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 is such a valuable resource for my two daughters and our family.  We kept hitting brick walls with our former school and the Director of AoPS Academy was the first person to honestly explain to us options and provide us with information so that we could make informed decisions about their education.  For that we are forever grateful and trust him beyond measure. AoPS Academy is far more than just an after-school academic training center. They have gone above and beyond to help our children's talents develop into their full potential.  Art of Problem Solving Academy will continue to be a key part of our long-term education plan.  The results have been amazing! They are truly my children’s first school, even though they are an after-school program!

Wendy D.