|
|
|
|
|
|
|
|
|
|
Course Criteria
Add courses to your favorites to save, share, and find your best transfer school.
-
1.00 - 6.00 Credits
Course Level: Undergraduate Topics vary by section, may be repeated for credit with different topic.
-
3.00 Credits
Course Level: Undergraduate/Graduate Algebra of sets; probability in discrete sample spaces; combinatorial analysis; random variables; binomial, Poisson, normal, and other distributions; and applications. Usually offered every fall. Prerequisite: MATH-313.
-
3.00 Credits
Course Level: Undergraduate/Graduate An introduction to the proof-based methodology of advanced mathematics courses, with emphasis on the fundamentals of logic and set theory (truth-tables and quantifiers, Boolean operations, functions, relations, and cardinally); elementary number theory (mathematical induction and modular arithmetic), and structural properties of the fields of real and complex numbers. Usually offered every spring. Prerequisite: MATH-222.
-
3.00 Credits
Course Level: Undergraduate/Graduate Vector-functions of several variables, limits and continuity, differentials and tangent plane, implicit and inverse functions, line and surface integrals, gradient, divergent, curl, Stoke's and Green's theorems. Usually offered alternate springs. Prerequisite: MATH-310 and MATH-313 and MATH-503, or permission of instructor.
-
3.00 Credits
Course Level: Undergraduate/Graduate The mathematical study of the scope and limits of deductive reasoning with special attention to propositional and first order logic, leading to results concerning completeness, compactness, and the existence of decision procedures for various logical systems, culminating in the incompleteness theorems of Godel. Usually offered alternate falls. Prerequisite: MATH-503.
-
3.00 Credits
Course Level: Undergraduate/Graduate Introduction to the theoretical concepts underlying computing. Finite automata, push-down automata, and Turing machines. Regular, context-free, and phrase-structure languages. Computability and computational complexity. Usually offered every spring. Prerequisite: CSC-350 or permission of instructor.
-
3.00 Credits
Course Level: Undergraduate/Graduate Euclidean and non-Euclidean (spherical, elliptic and hyperbolic) geometries from axiomatic and analytic points of view. Includes isometrics, transformation groups, symmetry groups, quadratic forms, projective geometry, as well as some historical background. Usually offered alternate falls (even years). Prerequisite: MATH-310 or equivalent.
-
3.00 Credits
Course Level: Undergraduate/Graduate An introduction to the study of abstract algebraic structures. Includes groups, subgroup, quotient groups, homomorphisms, rings, ideals, fields, and group actions and Sylow theory. Usually offered every fall. Prerequisite: MATH-503.
-
3.00 Credits
Course Level: Undergraduate/Graduate An advanced study of rings and fields with a focus on polynomials and their roots. Includes ring theory, factorization, polynomials, field theory, ruler and compass constructions, Galois theory, and solvability of polynomials. Usually offered alternate springs. Prerequisite: MATH-512 or permission of instructor.
-
3.00 Credits
Course Level: Undergraduate/Graduate Divisibility, fundamental theorem of arithmetic, congruences, arithmetic functions, Diophantine equations, quadratic residues, sums of squares, and partitions. Usually offered alternate falls(even years). Prerequisite: MATH-222.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Privacy Statement
|
Terms of Use
|
Institutional Membership Information
|
About AcademyOne
Copyright 2006 - 2024 AcademyOne, Inc.
|
|
|