Courses Mathematics Introduction to Numerical Methods 18.335J / 6.337J Introduction to Numerical Methods Fall 2006 The image of the unit sphere under any m x n matrix is a hyperellipse. (Image by Dr. Per-Olof Persson.) Course Highlights This course

Courses Mathematics Introduction to Numerical Methods 18.335J Introduction to Numerical Methods Fall 2004 Eigenvalues of the 100 x 100 Pascal Matrix. (Image by Plamen Koev.) Course Highlights This course features lecture notes and assignments with s

Courses Mathematics Wavelets, Filter Banks and Applications 18.327 / 1.130 Wavelets, Filter Banks and Applications Spring 2003 Two-dimensional scaling function generated using Daubechies' 4-tap wavelet filter. (Image created by Prof. Amaratunga.) Co

Courses Mathematics Topics in Applied Mathematics: Mathematical Methods in Nanophotonics 18.325 Topics in Applied Mathematics: Mathematical Methods in Nanophotonics Fall 2005 Photonic crystals are arrangements of two or more dielectric media, perio

Courses Mathematics Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics 18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics Spring 2005 Claw covering of the graph

Courses Mathematics Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics 18.315 Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative Combinatorics Spring 2005 Claw covering of the graph

Courses Mathematics Combinatorial Theory: Hyperplane Arrangements 18.315 Combinatorial Theory: Hyperplane Arrangements Fall 2004 A graph G and its bond lattice L G . (Image by Prof. Richard Stanley.) Course Highlights This course features lecture n

Courses Mathematics Advanced Analytic Methods in Science and Engineering 18.305 Advanced Analytic Methods in Science and Engineering Fall 2004 An idealized equation governing the propagation of waves. This equation is linear and homogeneous. (Image