Explore surprising problems, elegant solutions, unusual connections, and applications of mathematics.
Calculus
Unexpected integrals, infinite processes, functions, series, and other calculus explorations.
Geometry
Areas, curves, optimization, higher-dimensional geometry, and geometric problems.
Number Theory
Integer patterns, Diophantine equations, Pythagorean and cubic runs, and related explorations.
Probability
Unexpected appearances of randomness, distributions, and probabilistic ideas.
Optimization
Mathematical methods for finding the best solution, including problems where the obvious approach is not necessarily the best one.
Applied Mathematics
How mathematics solves real problems, from engines and population models to signal processing and real-time geometric fitting.