Mathematical Analysis 2

Mathematical Analysis 2
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.
MATH
346
 Hours3.0 Credit, 3.0 Lecture, 0.0 Lab
 PrerequisitesMATH 344; concurrent enrollment in Math 347.
 TaughtWinter
 ProgramsContaining MATH 346
Course Outcomes

Topics from nonlinear and linear analysis

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.