MATH 346

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Mathematical Analysis 2

Mathematics College of Computational, Mathematical, & Physical Sciences

Course Description

Theory of Riemann-Darboux integration, calculus on curves and surfaces, complex integration, spectral calculus, generalized inverses of matrices, basic matrix perturbation theory, groups of permutations and matrices. Time permitting, exterior calculus and differential forms.

When Taught

Winter

Min

3

Fixed

3

Fixed

3

Fixed

0

Other Prerequisites

concurrent enrollment in Math 347.

Title

Topics from nonlinear and linear analysis

Learning Outcome

Differentiation, contraction mappings, calculus on curves and surfaces, complex analysis, spectral calculus, generalized inverses of matrices.  Time permitting iterative methods, basic matrix perturbation theory and pseudospectra. For a detailed description of desired learning outcomes visit the Math 346 Wiki page.