PREREQUISITES
Complex arithmetic, complex plane. Differentiation, analytic functions. Elementary functions. Contour integration, Cauchy's Theorem, and Integral...
An introduction to ordinary differential equations and their applications. Intended for students concentrating in Mathematics
Introduction to ordinary differential equations and their applications to the physical and social sciences. Topics may include: numerical solutions,...
An introductory course on the use of computers in science. Topics include: solving linear and nonlinear equations, interpolation, integration, and...
Limits, continuity, C1, and linear approximations of functions of several variables. Multiple integrals and Jacobians. Line and surface integrals. The...
Taylor's theorem, optimization, implicit and inverse function theorems. Elementary topology of Euclidean spaces. Sequences and series of numbers and...
Permutation groups, matrix groups, abstract groups, subgroups, homomorphisms, cosets, quotient groups, group actions, Sylow theorems. ...
Congruences; Euler
Canonical forms, spectral and other matrix decompositions, quadratic forms, inner product spaces, projection theorem, applications to linear systems...
Complex numbers, analytic functions, harmonic functions, Cauchy's Theorem, Taylor and Laurent series, calculus of residues, Rouche's Theorem. ...
Metric spaces, topological spaces, compactness, completeness, contraction mappings, sequences and series of functions, uniform convergence, inverse...
PREREQUISITE
Orthonormal families, Fourier series and convergence. Signal spaces, Fourier transforms, and generalized functions. Solution of boundary value...
Linear input/output systems and their stability. Frequency-domain and time-domain analysis. Continuous and discrete time-modeling. Fourier, Laplace,...
Some probability distributions, simulation, Markov chains, queuing theory, dynamic programming, inventory theory. PREREQUISITES