Mathcamp 2022 will be a residential program! Learn more.

2011 Classes

An image of the grid displaying 2011 Classes

Here is an overview of our courses from this summer. You can also see a grid version of the 2011 global schedule.

Algebra

  • Adventures in Group Theory
  • Algebraic Geometry
  • Commutative Algebra
  • Counting Algebra with Generating Series
  • Doubly Infinite Laurent Series
  • Freedom
  • Group Theory
  • Groups in Action: Finite Rotational Symmetries
  • Introduction to Ring Theory
  • Linear Algebra
  • Partially-Ordered Sets and Möobius Inversion
  • Planar Algebras
  • Topics in Group Theory

Analysis

  • Analysis on the Hyperreals
  • Complex Analysis
  • Discrete Calculus
  • Do-It-Yourself Real Numbers
  • Metric Spaces and Real Analysis
  • Multivariable Calculus Crash Course (MC3)
  • Transcendental Numbers

Applied Math

  • Collective Rationality
  • Complex Dynamics
  • Mathematics of Manipulation: Democracy, Power, and Marriage Proposals
  • Special Relativity
  • Tensor Products
  • The n-body Problem
  • Colloquium: Matings of Polynomials

Combinatorics

  • Combinatorial Game Theory
  • Counting with Generating Series
  • Flows on Graphs
  • Hyperplane Arrangements
  • Introduction to Graph Theory
  • Matroids
  • Matroids II
  • Perfect Graph Theory
  • Spectral Graph Theory
  • The Conway Hour
  • Colloquium: John Conway
  • Colloquium: Möbius Inversion and Colorings of Graphs
  • Colloquium: The magic of expanders

Computer Science

  • Calendrical Calculations
  • Mathematical Formulas and the P vs. NP Problem
  • Probabilistic Programs: A Foundation for Artificial Intelligence
  • Proofs are Programs
  • Quantum Computation
  • Colloquium: Topological Quantum Computation

Geometry

  • Isom(Hn)
  • Combing the Sphere and Vector Fields
  • Conformal Geometry of the Sphere
  • Convex Polytopes
  • Cubic Curves
  • Ehrhart
  • Paper folding construction
  • Tangent Spaces and Metrics on the Sphere
  • The Gauss Circle Problem
  • The Geometry of Metric Spaces
  • Thirteen Ways of Looking at a Projective Plane
  • Colloquium: Isoperimetric Inequalities

Logic/Set Theory

  • Gödel's Incompleteness Theorems
  • Infinite Trees
  • Infinity and Beyond
  • Set Theory as a Foundation for Mathematics
  • The Category of Sets
  • Colloquium: How do we know that 2+2=4?

Number Theory

  • p-adics
  • Diophantine Equations
  • Introduction to Number Theory
  • The Riemann Zeta Function
  • Colloquium: The curious case of xn+1 = kxn(1-xn)

Problem Solving

  • Basic Problem Solving
  • Intro to Problem Solving
  • Olympiad Problem Solving
  • Problem Solving

Topology

  • Covering Spaces and the Fundamental Group
  • Knotty Groups
  • Point Set Topology (in Four Weeks)