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. 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
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11

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