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Summer Mathematics
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Math Level 1Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest Math
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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. 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 2023-24

All times Pacific.

Sunday
2:45 – 4:30pm
Aug. 27 – June 9
Andrew Ortegaray
ENROLL
Monday
6:45 – 8:30pm
Aug. 28 – June 10
Dr. Oana Rus
ENROLL
5 spots left
Tuesday
6:45 – 8:30pm
Aug. 29 – June 11
Matt Hin
WAITLIST
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Sample Problems

Below are examples of some of the types of problems that students will encounter in our Precalculus course.

Problem 0
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Problem 11

AoPS Academy has provided a wonderful opportunity for my children to advance and hone their knowledge and skills in mathematics.  My children have attended for a few years now, and they love it. They always look forward to attending class. I truly admire the hard work and dedication of all of the staff towards making AoPS Academy a center of excellence for math and language arts.  Both of my sons, one in high school and one in middle school, are ahead of their schoolmates in their math classes.  Not only that, they have both developed a love for this subject aided by the exposure they have received at AoPS Academy. They enjoy the interactive method of teaching, and look forward to their classes. The courses offered at AoPS Academy keep them engaged and challenged. The focus on high achieving students, along with their selective admissions standards, helps to maintain high standards. I have many business associates and friends around the United States, and have told them about AoPS Academy. They are so envious that we have such a wonderful opportunity for such rigorous instruction with the Art of Problem Solving world class curriculum. I look forward to the day when there will be an AoPS Academy in every major city in the country.

Sumali S.