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Pre-Graduate Study Guide

Pre-Graduate Study Guide - LINEARALGEBRA MTH543.(3...

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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 
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