Summer classes are now open! For the safety of our students, all summer classes will be held online. VIEW COURSES

Course Catalog
Summer Mathematics
Math Beasts Camp 3Math Beasts Camp 4Math Beasts Camp 5Math Beasts Camp 6 (Prealgebra Prep)Math Beasts Camp 7-9 (Algebra and Geometry Prep)Middle Contests Number Theory/Geometry​Middle Contests Algebra/Counting & Probability
Summer Language Arts
Creative Writing for Grades 3-4Readers Theater for Grades 4-5Poetry and Analysis 6-7Mock Trial 7-8Academic Essay Writing 8-10
Academic Year Mathematics
Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest MathIntro to Mechanics
Academic Year Language Arts
Language Arts Level 2Language Arts Level 3Language Arts Level 4Language Arts Level 5Foundations MS LARhetoricExpositionAdvanced Language Arts Seminar
Course Schedule
Summer Mathematics
Math Beasts Camp 3Math Beasts Camp 4Math Beasts Camp 5Math Beasts Camp 6 (Prealgebra Prep)Math Beasts Camp 7-9 (Algebra and Geometry Prep)Middle Contests Number Theory/Geometry​Middle Contests Algebra/Counting & Probability
Summer Language Arts
Creative Writing for Grades 3-4Readers Theater for Grades 4-5Poetry and Analysis 6-7Mock Trial 7-8Academic Essay Writing 8-10
Academic Year Mathematics
Math Level 2Math Level 3Math Level 4Math Level 5PrealgebraAlgebra 1GeometryAlgebra 2PrecalculusCalculusMiddle School Contest MathHigh School Contest MathIntro to Mechanics
Academic Year Language Arts
Language Arts Level 2Language Arts Level 3Language Arts Level 4Language Arts Level 5Foundations MS LARhetoricExpositionAdvanced Language Arts Seminar
Tuition
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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.

Students completing Precalculus are ready for our Calculus course.

Textbook: Precalculus by Art of Problem Solving.

Hardcopy and temporary access to the online version of the textbook are included in the tuition and fees of this course.

Schedule in

There are no classes currently scheduled.

Please check with your AoPS Academy center for information about possible future classes.

Sample Problems

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