Pre-Graduate Study Guide

Pre-Graduate Study Guide - LINEAR ALGEBRA MTH 543. ABSTRACT...

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Unformatted text preview: LINEAR ALGEBRA MTH 543. ABSTRACT LINEAR ALGEBRA (3). Abstract vector spaces. Linear transformations, eigenvalues and eigenvectors, the Jordan canonical form, inner product spaces. PREREQS: MTH 342 MTH 342. LINEAR ALGEBRA II (4). Vector spaces, linear transformations, inner product spaces, orthogonality, eigenvalues, diagonalization. PREREQS: MTH 341 MTH 341. LINEAR ALGEBRA I (3). Matrix algebra, determinants, systems of linear equations, computational aspects of eigenvalues and eigenvectors. PREREQS: MTH 254 REAL ANALYSIS MTH 512. REAL ANALYSIS (3). Topological concepts in metric, normed, and inner-product spaces. Properties of continuous functions, including the Stone- Weierstrass theorem. Introduction to function spaces, contraction mappings, fixed points, and applications. Lebesgue measure and integration in one and several variables, basic convergence theorems, Lebesgue spaces, Fubini's theorem,...
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This note was uploaded on 11/10/2011 for the course MATH 511 taught by Professor Higdon during the Spring '11 term at Oregon State.

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