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#### 18.06 Linear Algebra, Spring 2005

(2005-06)

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and ...

#### 18.905 Algebraic Topology, Fall 2006

(2006-12)

This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point theorem.

#### 18.335J Introduction to Numerical Methods, Fall 2004

(2004-12)

The focus of this course is on numerical linear algebra and numerical methods for solving ordinary differential equations. Topics include linear systems of equations, least square problems, eigenvalue problems, and singular ...

#### 18.04 Complex Variables with Applications, Fall 2003

(2003-12)

This course explored topics such as complex algebra and functions, analyticity, contour integration, Cauchy's theorem, singularities, Taylor and Laurent series, residues, evaluation of integrals, multivalued functions, ...

#### 18.312 Algebraic Combinatorics, Spring 2009

(2009-06)

This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but assumes a familiarity with linear algebra and finite groups. Topics were chosen to show the beauty and power ...