|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
3.00 Credits
Multiple regression, analysis of covariance, standard experimental designs, contingency tables, nonparametric methods and methods for sample surveys.
Prerequisite:
MATH 3610 FOR LEVEL UG WITH MIN. GRADE OF C-
-
1.00 - 3.00 Credits
Selected subjects in mathematics of special interest to students and the professor.
-
3.00 Credits
Theory of vector spaces and linear transformations, including such topics as matrices, determinants, inner products, eigenvalues and eigenvectors, and rational and Jordan canonical forms.
Prerequisite:
MATH 2190 FOR LEVEL UG WITH MIN. GRADE OF C- OR MATH 3190 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Hermitian and normal operators, multilinear forms, spectral theorem and other topics.
Prerequisite:
MATH 4300 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Arithmetic of the integers, unique factorization and modular arithmetic; group theory including normal subgroups, factor groups, cyclic groups, permutations, homomorphisms, the isomorphism theorems, abelian groups and p-groups.
Prerequisite:
MATH 2190 FOR LEVEL UG WITH MIN. GRADE OF C- OR MATH 3190 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Ring theory including integral domains, field of quotients, homomorphisms, ideals, Euclidean domains, polynomial rings, vector spaces, roots of polynomials and field extensions.
Prerequisite:
MATH 4330 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Matrices, systems of equations, vector spaces, linear transformations, determinants, eigenvalues and eigenvectors, singular value decomposition, pseudoinverses, rank, numerical methods and applications to various areas, e.g., the Google Matrix or Digital Image Compression or others.
Prerequisite:
MATH 1890 FOR LEVEL UG WITH MIN. GRADE OF C- OR MATH 2890 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Discrete mathematical structures for applications in computer science such as graph theory, combinatorics, and groups theory, asymptotics, recurrence relations and analysis of algorithms.
Prerequisite:
MATH 3320 FOR LEVEL UG WITH MIN. GRADE OF C- OR MATH 4330 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Metric spaces, topological spaces, continuous maps, bases and subbases, closure and interior operators, products, subspaces, sums, quotients, separation axioms, compactness and local compactness.
Prerequisite:
MATH 2190 FOR LEVEL UG WITH MIN. GRADE OF C- OR MATH 3190 FOR LEVEL UG WITH MIN. GRADE OF C-
-
3.00 Credits
Connectedness and local connectedness, convergence, metrization, function spaces. The fundamental groups and its properties, covering spaces, classical applications, e.g. Jordan Curve Theorem, Fundamental Theorem of Algebra, Brouwer's Fixed Point Theorem.
Prerequisite:
(MATH 4450 FOR LEVEL UG WITH MIN. GRADE OF C- AND MATH 3320 FOR LEVEL UG WITH MIN. GRADE OF C-) OR (MATH 4450 FOR LEVEL UG WITH MIN. GRADE OF C- AND MATH 4330 FOR LEVEL UG WITH MIN. GRADE OF C-)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|