Topics include solving linear systems, least square methods, eigenvalue and eigenvector theory, and applications of these topics. This course is a study of applied harmonic analysis. Topics include Fourier analysis, wavelet analysis, and applications of these topics. MTH 466 or MTH 588 or the consent of the instructor. This course studies properties of normed spaces and functions defined on normed spaces.
Special emphasis is placed on Euclidean n-space.
Topics include limits, continuity, differentiation, and integration. MTH 466 or MTH 588 or consent of the instructor. Algebraic structure is emphasized in this course, which includes a study of groups, rings, fields, and their applications in coding theory and cryptography. MTH 477 or MTH 586 or consent of instructor. Included in this course are studies of the complex number system, analytic functions, integration theory and the calculus of residues.