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© 2019 Math Circle Inc. All rights reserved.

COURSES

Math Circle participants take three courses every summer: two core classes, one from the Combinatorics sequence and one from the Number Theory sequence, and one elective class. All students in the 2018 Math Circle took Combinatorics I and Number Theory I, with the opportunity to move on to higher courses in later years. Emphasis in all courses is on developing critical thinking skills and problem-solving abilities, both individually and with other students. Students with sufficient background knowledge can place into higher-level courses.

Combinatorics
Sequence
Combinatorics I​
Combinatorics I​I

Topics include advanced probability, random variables and distributions, and intermediate graph theory. 

Prerequisites: 

Combinatorics I

Combinatorics I​II

Topics include generating functions, recursion, advanced graph theory, and Ramsey Theory. (Will be offered in Summer 2020)

Prerequisites: 

Combinatorics II

Topics include basic set theory, counting strategies such as permutations and combinations, introductory probability, and introductory graph theory.

Prerequisites:   

Algebra I (HS)

Number Theory
Sequence
Number Theory I​

Topics include the integers and divisibility, the Euclidean Algorithm, Diophantine Equations, modular arithmetic, and linear congruences.

Prerequisites:   

Algebra I (HS)

Number Theory I​I

Topics include primitive roots, quadratic residues, reciprocity, continued fractions, and Gaussian integers. 

Prerequisites:

Number Theory I

Number Theory I​II

Topics include nonlinear Diophantine equations and introduction to elliptic curves. (Will be offered in Summer 2020)

Prerequisites:   

Number Theory II

Electives

Electives are chosen depending on interest from students and availability of instructors.  To the right are electives from past years; topics will be finalized in late spring.

Coding

Electives in the coding theme may include Introductory and Advanced Python, Programming in Java, and Statistics with R.

Prerequisites:   

Varies by course

Statistics

Electives in the statistics  theme may include Intro to Statistics, Causal Inference, Spatial Statistics, and Experimental Design.

Prerequisites:   

Varies by course

Mathematics

Electives in the mathematics theme may include Algebraic  Geometry, Algebraic Topology, and Knot Theory.

Prerequisites:   

Varies by course

Want more info about our courses? Want to suggest possible electives? Let us know!