Class List and Schedule

Fundamental concepts of algebra, including exponents and radicals, linear equations and inequalities, ratio and proportion, systems of linear equations, factoring quadratics, complex numbers, completing the square, and the quadratic formula.

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.

Basic and intermediate counting concepts, including casework, multiplication, permutations, combinations, Pascal's triangle, probability, combinatorial identities, and the Binomial Theorem.

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.

Fundamental principles of number theory, including primes and composites, divisors and multiples, divisibility, remainders, modular arithmetic, and number bases.

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.

An introduction to computer programming using the Python programming language. This course covers basic procedural techniques such as variables, data types, selection, iteration, and functions. It will also introduce students to the object-oriented paradigm. We’ll also look at various computer science concepts. By the end of the course, students will be able to construct a moderately-sized Python program with a graphical user interface.

This course is an introduction to the problem solving strategies required for success on MATHCOUNTS and the AMC 8 tests. This class is intended for less experienced students who are just getting started on middle school math contests. Experienced MATHCOUNTS and AMC 8 students should consider our Advanced MATHCOUNTS/AMC 8 class.

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.

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.

Designed for students preparing for State and National MATHCOUNTS, the premier middle school mathematics contest in the US. This course will also help with the harder problems on the AMC 8. The class is designed for experienced MATHCOUNTS students; less experienced students should consider our MATHCOUNTS/AMC 8 Basics course.

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.

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.

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. The course consists of discussion of problems from past exams, as well as strategies for taking the test.

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. The course consists of discussion of problems from past exams, as well as strategies for taking the test.

Algebraic subjects covered include 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.

Diagnostic Tests: Are You Ready? - Do You Need This?

Textbook: This course requires the textbook Intermediate Algebra. There is a discount if you buy the text when registering for the course.

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, conditional probability, and introductory graph theory.

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.

An 8 week problem solving seminar (no exams) with number theory using algebraic and counting approaches. Topics also include Diophantine equations (Pell equations), Fermat's Little Theorem, the Phi Function, and Euler's Theorem.

Diagnostic Tests: Are You Ready? - Do You Need This?

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, applications of complex numbers to geometry, two-dimensional and three-dimensional vectors and matrices, determinants, dot and cross product, applications of vectors and matrices to geometry.

Diagnostic Tests: Are You Ready? - Do You Need This?

Textbook: This course requires the textbook Precalculus. There is a discount if you buy the text when registering for the course.

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.

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.

Covers numerous topics of geometry useful for Olympiad-level geometric proofs, including similar triangles, cyclic quadrilaterals, power of a point, homothecy, inversion, transformations, collinearity, concurrence, construction, locus, and three-dimensional geometry.

Diagnostic Tests: Are You Ready? - Do You Need This?

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 2009, and contains material from the AIME Problem Series A course. One of the instructors of the course was the only perfect scorer on the 1989 AIME. (Each class has a 30-minute break.)

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 Two Sigma Investments, all 2010 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.

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.

Textbook: This course requires the textbook Calculus. There is a discount if you buy the text when registering for the course.

Group theory is the study of symmetry. Objects in nature (math, physics, chemistry, etc.) have beautiful symmetries and group theory is the algebraic language we use to unlock that beauty. This example-driven course will focus specifically on building groups from other groups, ways that groups can act on various sets, and using the tools of group theory to construct fields.

Group theory is the gateway to abstract algebra, one of the two core branches of higher mathematics. (Just as calculus is the gateway to the other core branch, analysis.) Algebra and analysis together hold the tools for most areas of advanced mathematics, from geometry to topology to applied mathematics and beyond. Algebra is what tells us (among many other things) that you can't trisect an angle, that there are finitely many regular polyhedra, and that there is no closed form for solving a quintic. In this class we will get a glimpse of the mathematics underlying these famous questions.