美加數學營每年大概招手120名學員(新生65人,老學員55人),提供的國際生名額比例在10%-15%。值得一提的是,Canada/USA Math Camp非常鼓勵和支持喜歡數學的女孩子申請。每年學員中,女生占比達到45%-50%,這無疑對女孩子有很大的吸引力。 由于疫情影響,2022年為線上形式舉辦。
Camp往年教授的數學科目:
Discrete Mathematics
Combinatorics (enumerative, algebraic, geometric)
Generating functions and partitions
Graph theory
Ramsey theory
Probability
Finite geometries
Polytopes and polyhedra
Combinatorial Game Theory
Algebra and Number Theory
Linear algebra
Groups, rings, and fields
Primes and factorization algorithms
Congruences and quadratic reciprocity
Galois theory
Algebraic number theory
Analytic number theory
Fermat's Last Theorem for polynomials
p-adic numbers
Geometry of numbers
Geometry and Topology
Euclidean and non-Euclidean (hyperbolic, spherical, projective, inversive) geometries
Geometric transformations
Algebraic geometry
Point-set topology
Combinatorial topology
Knot theory
The Brouwer Fixed-Point Theorem
Calculus and Analysis
Topics in calculus
Fourier analysis
Complex analysis
Real analysis
Dynamical systems
Set Theory, Logic, and Foundations
Cardinals and ordinals
G?del's Incompleteness Theorem
The Banach-Tarski Paradox
Model Theory
Category Theory
Computer Science
Theoretical CS
Complexity theory
Information Theory
Cryptography
Algorithms
Connections to Other Fields
Relativity and quantum mechanics
Neural networks
Mathematical biology
Game theory
Voting theory
Bayesian statistics
Discussions
Philosophy of Mathematics
Math Education
How to Give a Math Talk
College And Beyond
Problem Solving
Proof methods
Elementary and advanced techniques
Contest problems of various levels of difficulty
Relays and team competitions