For more details on the courses, please refer to the Course Catalog
| Code | Course Title | Credit | Learning Time | Division | Degree | Grade | Note | Language | Availability |
|---|---|---|---|---|---|---|---|---|---|
| MTH3024 | Differential Geometry | 3 | 6 | Major | Bachelor | 3-4 | English | Yes | |
| For a surface in 3-dimensional Euclidean space, methods to calculation of Gaussian curvature and mean curvature of the surface are investigated and main geometric properties are explained in terms of the curvatures. Also we study intrinsic geometric properties from differential forms and struc- ture equation on the surface. | |||||||||
| MTH3025 | General Topology | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
| A study of topological spaces and maps, including products, identifications and connectedness.A study of topological spaces and maps, including products, identifications and connectedness. | |||||||||
| MTH3026 | Combinatorics and Graph Theory | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| This course will cover some of the fundamental theorys and its applications. Topics include : classical techniques ; Polya theory ; Matching theory ; Inversion techniques. | |||||||||
| MTH3027 | Modern Algebra2 | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
| This course will be a continuation of Algebra I. Topics include : free abelian groups ; rings and fields ; integral domains ; Fermat's theorem and Euler's theorem ; field of quotients of an integral domains ; ring of polynomials ; factor rings and isomorphism theorems ; prime ideals and maximal ideals ; unique factorization domains ; Euclidean domains ; Gaussian integers and norms. | |||||||||
| MTH3028 | General Topology2 | 3 | 6 | Major | Bachelor | 3-4 | English | Yes | |
| A study of topological spaces and maps, including saperations, compactness, uniform spaces and function spaces. A study of topological spaces and maps, including saperations, compactness, uniform spaces and function spaces. | |||||||||
| MTH3029 | Complex Analysis2 | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
| This course will be a continuation of complex analysis I. Laurent series, Residue theorem, conformal mapping and its applications to harmonic functions will be studied. | |||||||||
| MTH3030 | History of Mathematics | 3 | 6 | Major | Bachelor | 3-4 | - | No | |
| The three themes of this course are mathematics, history, and biography. We shall focus in particular on mathematics in the ancient Middle East, geometry and algebra in classical Greece, the preservation of the knowledge of antiquity outside of Europe in medieval times, progress in number theory and the solution of polynomial and diophantine equations, and the development of differential and integral calculus in the seventeenth century. We study mathematics and the history. | |||||||||
| MTH3032 | Math Co-op Ⅴ | 12 | 24 | Major | Bachelor | 3-4 | - | No | |
| Field practice to utilize mathematical knowledge for the real world problems. (more than 12 weeks) | |||||||||
| MTH3033 | Scientific computing and deep learning | 3 | 6 | Major | Bachelor | - | No | ||
| here are two main branches of technical computing: machine learning and scientific computing. Machine learning has received a lot of hype over the last decade, with techniques such as convolutional neural networks and nonlinear dimensional reductions powering a new generation of data-driven analytics. On the other hand, many scientific disciplines carry on with large-scale modeling through differential equation modeling. This class will be a survey of the numerical techniques, showcasing how many disciplines are doing the same thing under different names, and using a common mathematical language to derive efficient routines which capture both data-driven and mechanistic-based modeling. However, these methods will quickly run into a scaling issue if naively coded. To handle this problem, everything will have a focus on performance-engineering. We will start by focusing on algorithm which are inherently serial and learn to optimize serial code. Then we will showcase how logic-heavy code can be parallelized through multithreading and distributed computing techniques like CUDA, while direct mathematical descriptions can be parallelized through GPU computing. | |||||||||
| MTH4003 | Theory of Numerical Analysis | 3 | 6 | Major | Bachelor/Master | 1-4 | - | No | |
| Mathematical aspects of Numerical methods such as the numerical solution of differential equations, numerical linear algebra, and approximation theory. Furthermore, we deal with the multigrid method, procedure for multivariate interpolation, and homotopy methods. | |||||||||
| MTH4003 | Theory of Numerical Analysis | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | - | No |
| Mathematical aspects of Numerical methods such as the numerical solution of differential equations, numerical linear algebra, and approximation theory. Furthermore, we deal with the multigrid method, procedure for multivariate interpolation, and homotopy methods. | |||||||||
| MTH4005 | Advanced Differential Geometry | 3 | 6 | Major | Bachelor/Master | 1-4 | Korean | Yes | |
| Background materials for research in differential geometry will be presented. We study geometric properties and methods come from other area of mathematics or physics. | |||||||||
| MTH4005 | Advanced Differential Geometry | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | Korean | Yes |
| Background materials for research in differential geometry will be presented. We study geometric properties and methods come from other area of mathematics or physics. | |||||||||
| MTH4010 | Numerical Linear Algebra | 3 | 6 | Major | Bachelor/Master | 1-4 | Korean | Yes | |
| Study theory and numerical metod for maximal linear independence subsets, change of basis, the change of coordinate matrix, Theoretical and computatuonal aspect of systems of linear equations, matrix limits, Invariant subspaces, Dual spaces, Normal and self-adjoint operators, Spectral theorem, Bilinear and Quadratic forms, Generalized eigenvectors,Jordan Canonical Forms, Minimal polynomial, functions of a matrix, spectral theorem, singular values, norms, field of values, inertia etc | |||||||||
| MTH4010 | Numerical Linear Algebra | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | Korean | Yes |
| Study theory and numerical metod for maximal linear independence subsets, change of basis, the change of coordinate matrix, Theoretical and computatuonal aspect of systems of linear equations, matrix limits, Invariant subspaces, Dual spaces, Normal and self-adjoint operators, Spectral theorem, Bilinear and Quadratic forms, Generalized eigenvectors,Jordan Canonical Forms, Minimal polynomial, functions of a matrix, spectral theorem, singular values, norms, field of values, inertia etc | |||||||||