For more details on the courses, please refer to the Course Catalog
| Code | Course Title | Credit | Learning Time | Division | Degree | Grade | Note | Language | Availability |
|---|---|---|---|---|---|---|---|---|---|
| MTH5094 | Advanced Applied Mathematics | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| This is a graduate-level applied mathematics course and introduction to Stochastic Calculus, Stochastic Differential Equations, and Numerical Stochastic Optimization including stochastic numerical methods and applications drawn from Mathematical finance and Biomedicine. | |||||||||
| MTH5095 | Advanced Partial Differential Equations | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| This course is a continuation of the Applications of partial differential equations. Various subjects, techniques and recent developments for the partial differential equations are covered, for example, the energy method, variational method, conservation laws, fixed point theorems and etc.. | |||||||||
| MTH5096 | Topics in Advanced Analysis | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Various mathematical questions that arose in Analysis and its related areas, focused on further information on recent main topics. Advaced topics in Analysis are covered. | |||||||||
| MTH5097 | Seminar in Mathematical Finance and Insurance | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| This is a seminar course in Mathematical Fianance and Insurance about stochastic numerical solutions for recent topics arising from financial market problems. | |||||||||
| MTH5098 | Seminar in Geometry | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| A specified research topics in differential geometry will be studied in detail. | |||||||||
| MTH5099 | Topics in Geometry | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Background materials for research in differential geometry will be presented. Geometric properties and methods coming from other area of mathematics or physics will be studied. We follow the research topics closely, and study a specified research topic in detail. | |||||||||
| MTH5103 | Algebraic Graph Theory | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Fundamentals of combinatorics, recurrence relations, generating functions combinatorial algorithms, Latin squares, mutually orthogonal latin squares, orthogonal and perpendicular arrays, Steiner triple systems, Fundamental concepts of graph theory, connectivity, block designs, difference sets and finite geometries, Hamiltonian and Eulerian graphs, matchings, edge-colorings, vertex-colorings and scheduling problems, Hamiltonian cycles and Euler tours, spanning trees, disjoint paths and reliable networks, directed graphs, extremal praph theory, planar praph etc. | |||||||||
| MTH5104 | Algebra Seminar | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Presentation of selected topics in Algebra. | |||||||||
| MTH5105 | Theory of Riemannian manifolds | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| We study local and global properties of Riemannian manifolds. Geometry of surfaces in Euclidean space and basic properties of Riemannian curvature tensor are studied. Global properties of Riemannian manifolds are examined under several curvature conditions. Basic geometric comparison and manifolds of constant curvature are discussed. | |||||||||
| MTH5109 | Numerical Stochastic Optimization | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Theroy of optimization : use of numerical and stochastic algorithms in solutions of optimization problems; linear and nonlinear Programming, sensitivity analysis, convexity, optimal control theory, dynamic Programming, and calculus of variations. | |||||||||
| MTH5110 | Mathematical Modeling | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| This is a graduate-level course for analytic and numerical solutions of Mathematical models derived from complex problems arising in the real world. | |||||||||
| MTH5112 | Spectral Geometry | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Spectral geometry is the branch of global analysis which examines the interplay between the spectrum of a compact Riemannian manifold, which is an analytic invariant, and the underlying geometry and topology of the manifold. Thus it lies on the boundary between analysis, geometry, and topology and techniques from all 3 fields play an important role. The relationship between the spectrum of certain natural operators of Laplace type and the underlying geometry will be studied. | |||||||||
| MTH5114 | Topics in Applied Mathematics | 3 | 6 | Major | Master/Doctor | 1-4 | Korean | Yes | |
| 1: We study the numerical solutions of Mathematical and Stochastic models in Financial Engineering, Biomedical Projects, and Engineering, consisting of systems of Integro-partial Differential Equations. 2: Various topics of applied mathematics. | |||||||||
| MTH5115 | Applied Statistics | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Applied Probability and Statistics are dealted with in a graduate level. Time series data and Time series Analysis | |||||||||
| MTH5116 | Statistical Inference | 3 | 6 | Major | Master/Doctor | 1-4 | - | No | |
| Applied Probability and Statisticcal inference are dealted with in a graduate level. Medical data and Survival analysis. | |||||||||