Course Descriptions

MAGY.6213I Elemnts Of Real Analy I
3 Points, Thursdays, 5:308:15PM, Michel Lobenberg
Prerequisites:
MAUY 2122 or permission of adviser.
Description:
This course and its sequel MAGY 6223 rigorously treat the basic concepts and results in real analysis. Course topics include limits of sequences, topological concepts of sets for real numbers, properties of continuous functions and differentiable functions. Important concepts and theorems include supremum and infimum, BolzanoWeierstrass theorem, Cauchy sequences, open sets, closed sets, compact sets, topological characterization of continuity, intermediate value theorem, uniform continuity, mean value theorems and inverse function theorem.

MAGY.7033I Linear Algebra I
3 Points, Mondays, 6:008:45PM, Erwin Lutwak
Prerequisites:
MAUY 2034 and MAUY 2114 or Graduate Standing.
Description:
This course covers basic ideas of linear algebra: Groups, rings, fields, vector spaces, basis, dependence, independence, dimension. Relation to solving systems of linear equations and matrices. Homomorphisms, duality, inner products, adjoints and similarity.