Degree: Master of Science
Major: Mathematics
Hours: 30
The Â鶹AV Master of Science Degree in Mathematics can be tailored to prepare you for further study in mathematics at the doctoral level or for employment in industry. This program offers a wide range of courses but remains small enough for students to receive individual attention from faculty.
The program also offers well-funded positions for graduate teaching assistants and a comprehensive program with a wide range of courses and individual faculty attention. You will be taught by accomplished researchers, and our department places the welfare and teaching of students at the heart of our efforts.
Our graduate faculty members have interests in complex analysis, computability theory, graph theory, integration theory, Lie algebras, logic, modeling, numerical analysis, numerical differential equations, probability, statistics and symmetric spaces, in addition to the foundational fields of algebra, analysis and topology. In addition, we have faculty members who have joint appointments between our department and the Department of Curriculum and Instruction.
Real Variables: This course covers fundamental abstract concepts by studying the real numbers, focusing on the comprehension and construction of rigorous proofs. Students develop an understanding of pathological functions, set functions, the Riemann integral, Lebesgue measure and outer measure, and the Lebesgue integral along with other generalized integrals.
Modern Algebra: The course is designed to explore the fundamentals of Modern Algebra. We discuss at a graduate level the topics of Groups, Rings, and the theory of Fields. This course focuses on the study of subfields, prime fields, algebraic fields extensions and Galois fields.
Topology: Topology serves as a tool for students to construct a solid foundation on the study of the features of an object that are invariant under deformations. This course covers topological spaces, metric spaces, compact spaces, embedding, Urysohn's lemma and homotopy.
Complex Variables: This course covers the fundamental concepts of the theory and applications of a single complex variable. Students discuss analytic functions, conformal mapping, the calculus of complex functions, and applications with a focus on understanding and constructing proofs and examples.
Mathematics teaches patience, discipline, and step-by-step problem-solving and critical thinking skills, so that with a substantial maths background, your career options are virtually unlimited. Mathematical research and education are at the heart of some careers, while other careers utilize mathematics and its applications to build and enhance important work in the sciences, business, finance, manufacturing, communications and engineering.
Actuary, mathematician, mathematics educator, analyst