Mathcamp 2022 will be a residential program! Learn more.

2012 Classes

An image of the grid displaying 2012 Classes

Here is an overview of our courses from this summer. You can also see a grid version of the 2012 global schedule.

Algebra

  • Constructible Numbers
  • Field Extensions and Galois Theory
  • Finite Fields
  • Geometry of Surfaces
  • Introduction to Group Theory
  • Invariant Theory
  • Linear Algebra
  • Multilinear Algebra
  • Representation Theory
  • Ring Theory
  • Typing with Weird Keyboards
  • Unmultiplication

Analysis

  • Asymptotics
  • Complex Variables
  • Epsilon the Enemy
  • Geometric Mapping Theory
  • Multivariable Calculus Crash Course
  • The Line Without a Length
  • The Shape of Infinity
  • Things That Will Make You Unhappy
  • Vibrations, Waves, Diffusion
  • Colloquium: Quaternions in Everyday Life

Applied Math

  • Modelling (An Introduction to Differential Equations)
  • Musical Orbifolds
  • Quantum Mechanics
  • Randomness
  • Voting Theory
  • Colloquium: Cooperation, Evolution, and Theories of Mind
  • Colloquium: Discovery of the Higgs Boson

Combinatorics

  • Caps in the Game SET
  • Combinatorial Games
  • Crossing Numbers, from 1954 to 2012
  • Introduction to Graph Theory
  • Knot Theory
  • Latin Squares
  • Obstacle Numbers of Graphs
  • Proof of the 4 Color Theorem
  • Quasirandom Graphs
  • Ramsey Theory
  • Summing Series
  • The Alternating Sign Matrix Theorem
  • The Alternating Sign Matrix Zoo
  • The Dragon Marriage Condition
  • The John Conway Hour
  • The Probabilistic Method
  • What is Grünbaum's Conjecture?
  • Colloquium: Parking Functions & Hyperplane Arrangements

Computer Science

  • Five Programming Languages in Ten Days
  • Lambda Calculus
  • Many Campers Sort Piles
  • Colloquium: The Controversy Around the Church–Turing Thesis

Geometry

  • Fractals
  • Polytopes
  • The Real Projective Plane
  • Colloquium: Hearing the Geometry of a Manifold: an Introduction to the Inverse Spectral Problem
  • Colloquium: How to Avoid Being Eaten by Bears... in Space!
  • Colloquium: Imaginary numbers (aren't they all?)

Logic/Set Theory

  • Computability Theory
  • Metric Spaces (of Metric Spaces!)
  • Model Theory
  • Proof Techniques
  • Schemes
  • Set Theory: Axioms and Models
  • Set Theory: Counting the Uncountable
  • The Category of Sets
  • The Continuum Hypothesis
  • Colloquium: Blocking Light
  • Colloquium: Computability of Linear Orderings on Groups

Number Theory

  • Introduction to Number Theory
  • Rational Numbers . . . in Space! (Or, Diophantine approximations via geometry)
  • Shall We Count?
  • Unique Factorization and Fermat's Last Theorem
  • Colloquium: Counting Solutions of Polynomial Equations Modulo $p$
  • Colloquium: Numbers of the form x3 + y3 modulo p

Problem Solving

  • Problem Solving: Inequalities
  • Problem Solving: Polynomials
  • The AMC Game

Topology

  • The Classification of Surfaces
  • The Fundamental Group
  • Topology Your Friend
  • Colloquium: The Fundamental Group