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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.

Wednesday
6:45 – 8:30pm
Sep. 7, 2022 – June 7, 2023
ENROLL
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

General coaching classes at many academic training centers stress repetition of the concept until a student grasps it thoroughly. At AoPS Academy, they go far beyond repetition. Their highly qualified instructors do a great job at teaching fundamental concepts to students at much greater depth, and challenge them to walk that extra mile by presenting them with more complex problems to solve. It provides a great learning experience in a friendly, fun, yet competitive and challenging environment. They provide their students with a combination of excellent instructional curriculum along with amazing online tools. AoPS Academy also encourages students to take part in various competitions. Overall they do an incredible job imparting a deep knowledge of both math and language arts to all of their students, and AoPS Academy sets them on a path towards their career goals. We are happy to be part of AoPS Academy family!

Sandeep J.