MAT 500 Topics in Applied Mathematics (3)
This course will introduce students to several topics in the area of mathematical methods. Topics includes: complex numbers, determinants and matrices, ordinary differential equations, Fourier series, partial differentiation, multiple integrals and vector analysis. Prerequisite: Calculus II (MAT 122) or equivalent.
MAT 502 Linear Algebra
This course is a graduate level Linear Algebra course, with an emphasis on applications is statics and statistical signal processing including linear models and linear estimation. The student will built on the knowledge obtained in the undergraduate level Linear Algebra, MAT 340, learn about special matrices, singular value decomposition, pseudo inverses, quadratic forms, Hilbert spaces and least squares, and acquire an introduction to linear modes and linear estimation. A computational environment is integrated through the course. Prerequisite: MAT 340, Linear Algebra, and MAT 370, Applied Probability or permission of instructor.
MAT 505 Introduction to Probability
Sample space and counting, axioms and rules of probability, conditional probability and independence, modeling with discreet and continuous random variables, jointly distributed random variables, characteristics of random variables, transformation of random variables, moment generating functions. law of large numbers and central limit theorem, statistical applications, random number generation and simulations of systems. Prerequisite: MAT 253
MAT 521 Financial Mathematics I – Theory of Interest
Theoretical foundation and a practical understanding of interest theory in finite and continuous time will be developed. This theory includes the fundamentals of how annuity functions are applied to the concepts of present and accumulated value for various cash flow streams, and how this is used for further planning in valuation, pricing, duration, and investment. Applications to amortization of lump sums, fixed income securities, deprecation, mortgages, and related concepts will be discussed. In addition, short sales and derivatives for financial risk management will be covered. Prerequisites: MAT 505 Introduction to Probability or equivalent.
MAT 530 Number Theory and Its Applications (3)
Introductory course in Number Theory that will introduce students to the basic concepts as well as some modern applications. Topics include: prime numbers, Greatest Common Divisors, The Euclidean Algorithm, congruences, Fermat’s Little Theorem, primality testing, etc. Applications of Number theory: cryptography, pseudorandom numbers, etc. Prerequisites: MAT 380 or MAT 381 or MAT 413 or permission of instructor. Cross listed with MAT 430.
MAT 590 Selected Topics in Mathematics (3)
Provides students with the opportunity to learn specific topics not offered via regular coursework. Topics will be selected by faculty and will require a mix of theoretical and applied knowledge as appropriate. Prerequisite: Permission of an instructor.