Mathematics Ozyegin University

Overview

The Master of Science Program in Mathematics from Ozyegin University will provide students with advanced mathematics skills to those who want to work in fields such as informatics, banking, finance, insurance, data science or in research centers of industrial institutions, to give an option to the engineers who want to improve their mathematics skills and to gain a broad perspective on the engineering applications of mathematics.

In addition to the classical courses of mathematics at the graduate level, the program also includes courses focused on the applications of mathematics. The faculty members associated with the program conduct research focused on applications of mathematics in fields such as applied functional analysis, mathematical modeling, differential equations, probability, stochastic analysis, numerical analysis, computational mathematics, mathematical control theory, game theory and information theory.

Program Details

• MATH 501 Analysis 1: This course covers selected topics in real analysis concerning measure theory and integration. Topics include Lebesgue measure and integration on R^n, convergence theorems, Fubini’s theorem, L^p spaces, abstract measure and integration, decomposition of measures, Lebesgue-Radon-Nikodym theorem.

• MATH 502 Analysis II This course introduces the student to the core notions and techniques of functional analysis. Topics include Hilbert and Banach spaces, duality and Hahn-Banach theorem, open mapping and closed graph theorems, principle of uniform boundedness, weak and weak-* topologies.

• MATH 503 Numerical Linear Algebra This course covers selected topics in numerical linear algebra. Topics include matrix analysis, direct methods for linear systems, iterative methods for linear systems, methods for eigenvalue problems, iterative methods for nonlinear systems.

• MATH 504 Partial Differential Equations The course starts with explicit solutions of three classical equations: Laplace’s equation, heat equation and wave equation and continues with an introduction to Sobolev spaces and analysis of solutions of boundary value problems for second-order elliptic linear equations. The topics include existence of weak solutions by energy methods, regularity of solutions and maximum principles. MATH 506 Probability Theory This course introduces the fundamental concepts of probability theory based on measure and integration theory.