|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
3.00 Credits
Series solution of differential equations. Lengendre's and Bessel's equation. Fourier series, Fourier and Laplace transforms. Partials differential equations. Prerequisite: MAT 401 3 credit.s Fall semester; day.
-
3.00 Credits
Axiom of continuity, least upper bounds, and greatest lower bounds; open and closed sets; continuity differentiation; maxima and minima for functions of two or more variables; the method of Lagrange; implicit function theorems; and general theorems of partial differentiation. Prerequisite: MAT 304. 4 credits. Fall semester; day.
-
3.00 Credits
Transformations and mappings, point set theory, uniform continuity, and fundamental theorems of continuous functions, the theory of Riemann integration, infinite series and uniform convergence, power series, improper integrals, and a study of the gamma functions. Prerequisite: MAT 403. 4 credits. Spring semester; day.
-
3.00 Credits
An introductory course dealing with divisibility, number theorems, theory and congruences, quadratic residues, and Diophantine equations. Quadratic residues and quadratic reciprocity law. Fermat's theory, Chinese remainder theorem, Euler's theorem,and Wilson's theorem. Prerequisite: MAT 202. 3 credits. Offered as needed; day.
-
3.00 Credits
Numerical solutions of equations, difference tables, operator methods; numerical differentiation and integration; numerical solution of ordinary differential equations; systems of linear equations; solutions by iterative methods. Prerequisite: MAT 304 or MAT 401. 3 credits. Offered as needed; day.
-
3.00 Credits
Sets and mappings; theory of groups, rings, and fields; homomorphisms, isomorphisms, and the first isomorphism theorem for groups and rings; the field of real/ complex numbers. Polynomials. Prerequisite: MAT 304. 3 credits. Every semester; day.
-
3.00 Credits
Complex numbers and the topology of the complex plane; analytic and elementary functions, contour integrals, conformal mappings, power series, Laurent series, Cauchy-Riemann partial differential equations; Cauchy-Goursat theorem. Prerequisite: MAT 304. 3 credits. Offered as needed; day.
-
3.00 Credits
Families of sets, countable and uncountable sets, metric spaces, the space of continuous functions on a compact set, the Stone- Weirstrass theorem, measure and measurable functions, the Lebesgue Integral, and dominated and monotone convergence theorem, Lp spaces. Prerequisite: MAT 404. 3 credits. Offered as needed; day.
-
3.00 Credits
Advanced course in linear algebra examining linear transformations and matrices, the characteristics and minimal polynomials, Caley-Hamilton theorem, diagonalization, unitary spaces, selfadjoint, normal matrices and the spectral theorem, Jordan ca- nonical form, and quadratic form. Prerequisites: MAT 312. 3 credits. Offered as needed; day.
-
3.00 Credits
Set-theoretic preliminaries, metric spaces, topological spaces, continuity and homomorphism, compactness and connectedness, separation axioms, complete metric spaces, and covering spaces. Prerequisite MAT 403. 3 credits. Offered as needed.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2024 AcademyOne, Inc.
|
|
|