Surveys groups, rings, and fields, and presents applications to other areas of mathematics, such as geometry and number theory. Explores the rational, real, and complex number systems, and the algebra of polynomials. Prerequisite: MATH 1320 or equivalent and graduate standing.
Graduate Course Descriptions
Survey of Algebra (3.00)
MATH 5654
Automata Theory (3.00)
MATH 5655
Studies finite and infinite automata, Turing machines; discusses relations between automata and groups, respectively, other algebraic structures.
Introduction to Geometry (3.00)
MATH 5700
Topics selected from analytic, affine, projective, hyperbolic, and non-Euclidean geometry. Prerequisite: MATH 2310, 3351, or instructor permission.
Introduction to Differential Geometry (3.00)
MATH 5720
Topics selected from the theory of curves and surfaces in Euclidean space and the theory of manifolds. Prerequisite: MATH 2310 and 3351, or instructor permission.
General Topology (3.00)
MATH 5770
Topological spaces and continuous functions, connectedness, compactness, countability and separation axioms, and function spaces. Time permitting, more advanced examples of topological spaces, such as projectives spaces, as well as an introduction to the fundamental group will be covered. Prerequisite: MATH 2310 and 3351, with 3310 recommended.
Seminar (3.00)
MATH 5830
Presentation of selected topics in mathematics. Prerequisite: MATH 5310; corequisite: MATH 5652 or instructor permission.
Proofs in Algebra (3.00)
MATH 5855
This course reviews the proofs of the main theorems in algebra in preparation for the advanced graduate algebra courses.This course is offered in the summer and restricted to Mathematics and Graduate Arts and Science students.
Supervised Study in Mathematics (3.00)
MATH 5896
A rigorous program of supervised study designed to expose the student to a particular area of mathematics. Prerequisite: Instructor permission and graduate standing.
Discrete Mathematics: Concepts, Algorithms, and Applications for Teachers (3.00)
MATH 6040
AFDA: Mathematical Modeling with Probability and Statistics (3.00)
MATH 6060
Examines experimental design and probability and statistics through exploring, analyzing, and interpreting data sets. Explores the graphing calculator as a tool to display and analyze data obtained from sampling, observations, measurement, experiments, and internet sources.
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