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All classes offered by Art of Problem Solving are listed below, along with starting dates for upcoming offerings. Click on any course for more information about it.
You can enroll online by using the Enroll links. If you prefer, we also have a course catalog and order form which you can print out and mail to us.
All classes (except WOOT and the Special AIME Problem Seminar) run once a week on the day indicated.
There will be no classes on Thanksgiving week (Nov 24-Nov 28) or during the Winter Holidays (Dec 20-Jan 4).
| Course Title | Summer 2008 | Fall 2008 | Spring 2009 |
| Subject Courses | |||
| Introduction to Algebra | Jun 11 | Oct 16 (Th) Enroll | Date TBA |
| Introduction to Geometry | Oct 10 (F) Enroll | Date TBA | |
| Introduction to Number Theory | Oct 6 (M) Enroll | ||
| Introduction to Counting & Probability | Jun 10 | Date TBA | |
| Intermediate Algebra | Jun 18 | Oct 9 (Th) Enroll | |
| Intermediate Number Theory Seminar | Oct 21 (Tu) Enroll | ||
| Intermediate Counting & Probability | Jun 19 | Date TBA | |
| Intermediate Trigonometry/Complex Numbers | Oct 13 (M) Enroll | ||
| Calculus | Oct 14 (Tu) Enroll | ||
| Problem Solving Series | |||
| MATHCOUNTS/AMC 8 Basics | Oct 15 (W) Enroll | ||
| Mastering MATHCOUNTS/AMC 8 | Jun 9 Jun 12 | Nov 11 (Tu) Enroll | |
| AMC 10 Problem Series | Jun 5 | Oct 20 (M) Enroll | |
| AMC 12 Problem Series | Jun 2 | Oct 24 (F) Enroll | |
| Special AIME Problem Seminar | Date TBA | ||
| AIME Problem Series A | Jun 3 | ||
| AIME Problem Series B | Dec 2 (Tu) Enroll | ||
| Other | |||
| WOOT | Sep 8 Enroll | ||
A brief description of each course is below. Courses are listed in order of increasing difficulty.
Fundamental concepts of algebra, including linear equations, systems of equations, quadratics, clever factorizations, complex numbers, graphing, functions, sequences and series, special functions, exponents and logarithms, and more. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course requires the textbook Introduction to Algebra. There is a discount if you buy the text when registering for the course.
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Fundamentals of geometry, including angles, triangle similarity and congruence, complicated area problems, mastering the triangle, special quadrilaterals, polygons, the art of angle chasing, power of a point, 3-dimensional geometry, transformations, analytic geometry, basic trigonometry, geometric proof, and more. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course requires the textbook Introduction to Geometry. There is a discount if you buy the text when registering for the course.
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For students just beginning with MATHCOUNTS and AMC 8. Covers much of the material needed for success at Chapter MATHCOUNTS. Click here for more information.
Textbook: This course does not require a textbook. Many students and top MATHCOUNTS teams use our Introduction series of texts to prepare for MATHCOUNTS, and many use our Art of Problem Solving Volume 1 to prepare for State and Nationals competitions.
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Preparation for MATHCOUNTS, the premier middle school mathematics contest in the US. Covers much of the material needed for success at State and National MATHCOUNTS. Click here for more information.
Textbook: This course does not require a textbook. Many students and top MATHCOUNTS teams use our Introduction series of texts to prepare for MATHCOUNTS, and many use our Art of Problem Solving Volume 1 to prepare for State and Nationals competitions.
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Fundamental principles of number theory, including primes and composites, divisors and multiples, divisibility, remainders, modular arithmetic, and number bases. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course requires the textbook Introduction to Number Theory. There is a discount if you buy the text when registering for the course.
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Basic and intermediate counting concepts, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course requires the textbook Introduction to Counting & Probability. There is a discount if you buy the text when registering for the course.
Future dates for this course have not been scheduled yet.
Preparation for the AMC 10, the first test in the series of contests that determine the United States team for the International Mathematics Olympiad. Many top colleges also request AMC scores as part of the college application process. Click here for more information.
Textbook: This course does not require a textbook. Many students and top math teams use our Introduction series of texts and our Art of Problem Solving Volume 1 to prepare for the AMC 10.
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Preparation for the AMC 12, the first test in the series of contests that determine the United States team for the International Mathematics Olympiad. Many top colleges also request AMC scores as part of the college application process. Click here for more information.
Textbook: This course does not require a textbook. Many students and top math teams use our Art of Problem Solving Volume 1 and our Art of Problem Solving Volume 2 to prepare for the AMC 12.
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Quadratic equations, conics, polynomials, functions, logarithms, clever factorizations and substitutions, systems of equations, sequences and series, symmetric sums, advanced factoring methods, classical inequalities, functional equations, and more. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course requires the textbook Intermediate Algebra, which will be published in spring, 2008. There is a discount if you buy the text when registering for the course.
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Topics in discrete mathematics, including clever one-to-one correspondences, principle of inclusion-exclusion, generating functions, distributions, pigeonhole principle, induction, constructive counting and expectation, combinatorics, recursion, and conditional probability. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course requires the textbook Intermediate Counting & Probability. There is a discount if you buy the text when registering for the course.
Future dates for this course have not been scheduled yet.
Number theory with algebraic and counting approaches, Diophantine equations (Pell equations), Fermat's Little Theorem, the Phi Function, and Euler's Theorem. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course does not require a textbook.
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Introduction and evaluation of trigonometric functions, trigonometric identities, complex numbers, exponential form of complex numbers, De Moivre's Theorem, geometric representation of complex numbers, roots of unity. Click here for more information.
Diagnostic tests: Are You Ready? Do You Need This?
Textbook: This course does not require a textbook. Some of the material in this course is covered in our Art of Problem Solving Volume 2. This text is a helpful source of supplementary reading for the class.
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Preparation for the AIME, the second in the series of tests used to determine the United States team at the International Math Olympiad. Many top colleges also request AIME scores as part of the college application process. Click here for more information.
Textbook: This course does not require a textbook. Many students and top math teams use our Art of Problem Solving Volume 2 to prepare for the AIME.
Future dates for this course have not been scheduled yet.
Preparation for the AIME, the second in the series of tests used to determine the United States team at the International Math Olympiad. Many top colleges also request AIME scores as part of the college application process. Click here for more information.
Textbook: This course does not require a textbook. Many students and top math teams use our Art of Problem Solving Volume 2 to prepare for the AIME.
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This class is a special 5-hour weekend seminar to prepare for the AIME, which is the second in the series of tests used to determine the United States team at the International Math Olympiad. Many top colleges also request AIME scores as part of the college application process. In this course, students learn problem solving strategies and test-taking tactics. This course is a repeat of the weekend seminar we offered in 2006, and contains material from the AIME Problem Series A course. Click here for more information.
Textbook: This course does not require a textbook. Many students and top math teams use our Art of Problem Solving Volume 2 to prepare for the AIME.
Future dates for this course have not been scheduled yet.
Art of Problem Solving Worldwide Online Olympiad Training is a 7-month Olympiad training program consisting of lectures and Olympiad testing. Due to sponsorship from D. E. Shaw group and Jane Street Capital, all 2008 Math Olympiad Program participants are invited to join WOOT for free. Therefore, WOOT participants will be training with the top students in the United States.
The 2008 WOOT schedule may be found here.
Click here for more information.
Textbook: This course does not require a textbook.
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A course in single-variable calculus. This course covers limits, continuity, derivatives and their applications, definite and indefinite integrals, infinite sequences and series, plane curves, polar coordinates, and basic differential equations. At the conclusion of the course, students should have sufficient preparation to take the AP Calculus BC exam; however, "AP exam preparation" is not the main focus of the course.
Enrollment in this course will be limited to 48 students.
Click here for more information.
Diagnostic test: Are You Ready?
Textbook:
We are not using a textbook for this class. Many of the classes will be supplemented with lecture notes that will be posted on the website. Some students may wish to purchase a standard college-level calculus textbook to use as a reference. If you are doing so, it is only necessary to get a "single-variable" version of the book (many large calculus textbooks come in multiple varieties); however, you may want to get the "full" version if you anticipate taking multivariable calculus in the future.
We recommend that students have a graphing calculator to use as a tool in their study of calculus, and to have it with them at each class session. However, this is not required, and we will not be emphasizing calculator techniques. The AP Calculus exam (which Art of Problem Solving does not offer nor endorse) requires a graphing calculator; a list of AP-approved calculators is on the College Board website.
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