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MATHEMATICS

MATH-596
Selected Topics: Non-recurring (1-6)

Course Level: Undergraduate/Graduate

Topics vary by section, may be repeated for credit with different topic.

MATH-596
001
MATHEMATICS
FALL 2014

Course Level: Undergraduate/Graduate

Selected Topics: Non-recurring (1-6)

Computational Algebraic Topology

This course introduces the elements of homology theory for topological spaces, with a focus on computation and applications. The course covers attachment constructions (simplicial and CW complexes), chain complexes, homology (cellular and singular), and exact sequences. Students learn to construct and to compute with chain complexes of vector spaces as a general tool for understanding topological spaces. The course also highlights some of the recent trends in computational topology through computer programming projects.

MATH-596
002
MATHEMATICS
FALL 2014

Course Level: Undergraduate/Graduate

Selected Topics: Non-recurring (1-6)

Advanced Mathematical Tools in Economics

This course surveys ideas and techniques from calculus, linear algebra, and differential equations, focusing on their applications to economics. Topics covered include differentiation, integration, and optimization of multivariable functions; systems of linear equations; vector spaces; linear transformations; eigenvectors; systems of first-order differential equations; and the Laplace transform.