MA-GY.6213-I Elemnts Of Real Analy I
3 Points, Thursdays, 5:30-8:15PM, Michel Lobenberg
MA-UY 2122 or permission of adviser.
This course and its sequel MA-GY 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, Bolzano-Weierstrass 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.
MA-GY.7033-I Linear Algebra I
3 Points, Mondays, 6:00-8:45PM, Erwin Lutwak
MA-UY 2034 and MA-UY 2114 or Graduate Standing.
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.