Courses Recently Given

Sunday
 Elliptic Curves (Notes: 12 3 4)
 Set Theory (Notes: 12 3 4 57)
 The Four Numbers Game (Notes: 1 2 3 4 5)
 Constructing the Real Numbers (Notes: 1 2 3 4)
 Group Theory, Topology, and Physics
 Quantum Mechanics
 Computational Complexity Theory
 NonEuclidean Geometry
Weekday
 Are There Numbers Between Numbers?
 Probability
 The Pythagorean Theorem
 Continued Fractions
 Random Walks
 Graph Theory
Our classes begin with a free discussion of ideas and play of invention around a developing problem; then  once insight blossoms  we link this insight formally to axioms, aiming for elegance and clarity. While the courses are mathematically rigorous, the atmosphere is friendly and relaxed. We want our students to feel free to express their ideas, to suggest their own approaches, and to make mistakes. We work in a spirit of friendship, cooperation, and enjoyment of one another.
Where are our courses located?
schedule
Past Courses
Weekday Classes 
Weekend Classes 
for 57 year olds  For the Young (911, no Algebra): 
Are There Numbers Between Numbers? Sequences and Series The Euclidean Algorithm Prime Numbers Triangular, Square etc. Numbers Graph Theory Invariants Iteration Linear Functions Big Numbers Parity Area, Geometry and Number 
Set Theory Polygon Construction Map Coloring The Euclidean Algorithm Knots Modular Arithmetic Probability Game Theory Group Theory Sequences and Series Mathematical Games Cryptography Equidecomposibility Polyhedra Solving Equations Pascal's Triangle and Fractals Concurrency and Collinearity Pythagorean Triples The Intermediate Value Theorem Mathematical Origami Steiner Points Complementary Sequences 
For 79 or 911 year olds  For the Middle Group (1214, some Algebra) 
Cantorian Set Theory Fractions and Decimals StraightEdge and Compass Constructions Sequences and Series Tiling Eulerian and Hamiltonian Circuits The Infinite Interesting Numbers Polygon Construction Prime Numbers Complex Numbers Min/Max Problems Functions and their Graphs Logic Concurrency Iterations Powers of 2 Weird Fractions Random Walks Area, Number and Geometry 
Polyhedra Periodic Decimals Continued Fractions Propositional Calculus The Fibonacci Sequence Solution by Radicals Polygon Decomposition What is i^{i}? Krasnoselsskii's and Brouwer's Theorem Interesting Points in Triangles Maxima, Minima and Optima Angle Trisection The Golden Mean Which Numbers are the Sum of Two Squares? Visual Proofs Information Theory The Pythagorean Theorem Cantorian Set Theory Conway Games Pick's Theorem etc., Linear Algebra Mathematical Origami Integer Triangles Complementary Sequences Taxicab Geometry 
For the Senior Group (1517, good Algebra and Geometry)  
Sequences and Series Projective Geometry Induction and the Pigeonhole Principle Classification of Surfaces The Four Color Problem The Pythagorean Theorem Number Theory Proofs and Refutations Algebraic Geometry Complex Analysis Cantorian Set Theory Number Theory Knot Theory Hyperbolic Geometry Group Theory Conway's Numbers Mathematical Logic Information Theory Relativity Fractals Proofs from The Book Banach Tarski Paradox Combinatorial Geometry 

Sunday
 Elliptic Curves (Notes: 12 3 4)
 Set Theory (Notes: 12 3 4 57)
 The Four Numbers Game (Notes: 1 2 3 4 5)
 Constructing the Real Numbers (Notes: 1 2 3 4)
 Group Theory, Topology, and Physics
 Quantum Mechanics
 Computational Complexity Theory
 NonEuclidean Geometry
Weekday
 Are There Numbers Between Numbers?
 Probability
 The Pythagorean Theorem
 Continued Fractions
 Random Walks
 Graph Theory
Our classes begin with a free discussion of ideas and play of invention around a developing problem; then  once insight blossoms  we link this insight formally to axioms, aiming for elegance and clarity. While the courses are mathematically rigorous, the atmosphere is friendly and relaxed. We want our students to feel free to express their ideas, to suggest their own approaches, and to make mistakes. We work in a spirit of friendship, cooperation, and enjoyment of one another.
Where are our courses located?
schedule