For more details on the courses, please refer to the Course Catalog
| Code | Course Title | Credit | Learning Time | Division | Degree | Grade | Note | Language | Availability |
|---|---|---|---|---|---|---|---|---|---|
| MTH4025 | Real Analysis 1 | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | Korean | Yes |
| Main subjects are the basic concepts of real analysis: uniform convergence, Riemann integration, Lebesgue measure, Lebesgue integral, differentiation of an integration, classical Banach spaces and convergence of the seguence of functions. | |||||||||
| MTH4026 | Real Analysis Ⅱ | 3 | 6 | Major | Bachelor/Master | 1-4 | - | No | |
| Main subjects are the applications of the real analysis: General Convergence Theorems, Probability, stochastic process, Ito's formula, Radon-Nikodym Theorem, Fixed point Theorem, Harmonic analysis and Nonlinear Partial differential equations. | |||||||||
| MTH4026 | Real Analysis Ⅱ | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | - | No |
| Main subjects are the applications of the real analysis: General Convergence Theorems, Probability, stochastic process, Ito's formula, Radon-Nikodym Theorem, Fixed point Theorem, Harmonic analysis and Nonlinear Partial differential equations. | |||||||||
| MTH4028 | Introduction to Mathematical Modelimg | 3 | 6 | Major | Bachelor/Master |
3-4
1-4 |
- | No | |
| The aim of the course is to develop and extend some of the theoretical ideas developed in the mainstream mathematics course and to show how they can be applied in simple modelling situations: the methods and models will be integrated so that techniques are illustrated or motivated by applications. Many of the mathematical techniques have been covered but the emphasis in this course is on the interplay between the mathematics and the applications. | |||||||||
| MTH4028 | Introduction to Mathematical Modelimg | 3 | 6 | Major | Bachelor/Master |
3-4
1-4 |
Mathematics | - | No |
| The aim of the course is to develop and extend some of the theoretical ideas developed in the mainstream mathematics course and to show how they can be applied in simple modelling situations: the methods and models will be integrated so that techniques are illustrated or motivated by applications. Many of the mathematical techniques have been covered but the emphasis in this course is on the interplay between the mathematics and the applications. | |||||||||
| MTH4029 | Actuarial Mathematics | 3 | 6 | Major | Bachelor/Master | 1-4 | - | No | |
| This is a mathematical introduction to actuarial science. Topics include survival distributions and life tables, whole life insurance, term life insurance, endowment, life annuities. In addition, this course provides how to calculate net premiums and net premium reserves. | |||||||||
| MTH4029 | Actuarial Mathematics | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | - | No |
| This is a mathematical introduction to actuarial science. Topics include survival distributions and life tables, whole life insurance, term life insurance, endowment, life annuities. In addition, this course provides how to calculate net premiums and net premium reserves. | |||||||||
| MTH4030 | Advanced Algebra | 3 | 6 | Major | Bachelor/Master | 1-4 | English | Yes | |
| This course is an continuation of Algebra 1 and Algebra 2, examining in depth selected topics from the theory of groups, rings, fields and algebras. Topics include some of field and Galois theory. | |||||||||
| MTH4030 | Advanced Algebra | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | English | Yes |
| This course is an continuation of Algebra 1 and Algebra 2, examining in depth selected topics from the theory of groups, rings, fields and algebras. Topics include some of field and Galois theory. | |||||||||
| MTH4031 | Topics in Advenced Algebra | 3 | 6 | Major | Bachelor/Master | 1-4 | Korean | Yes | |
| This course is an in-depth study of various aspects of abstract algebra, building on the theory of groups, rings, fields and algebras, including Galois theory. Topics include some of the following: the structure of groups, rings, fields, and commutative rings and modules. | |||||||||
| MTH4031 | Topics in Advenced Algebra | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | Korean | Yes |
| This course is an in-depth study of various aspects of abstract algebra, building on the theory of groups, rings, fields and algebras, including Galois theory. Topics include some of the following: the structure of groups, rings, fields, and commutative rings and modules. | |||||||||
| MTH4032 | Advanced Topology | 3 | 6 | Major | Bachelor/Master | 1-4 | English | Yes | |
| We study basic concepts of topology. Topics include geometric complexes, simplicial approximation, covering spaces, fundamental groups, classification of surfaces, van Kampen Theorem, winding numbers, homology, cohomology, and fixed point theorems. | |||||||||
| MTH4032 | Advanced Topology | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | English | Yes |
| We study basic concepts of topology. Topics include geometric complexes, simplicial approximation, covering spaces, fundamental groups, classification of surfaces, van Kampen Theorem, winding numbers, homology, cohomology, and fixed point theorems. | |||||||||
| MTH4033 | Numerical Partial Differential Equations | 3 | 6 | Major | Bachelor/Master | 1-4 | - | No | |
| In this course, classical numerical methods for computing the solutions of parabolic partial differential equations and hyperbolic partial differential equations in one or more variables are introduced, explored and analyzed. Finite difference methods are our starting point and fundamental framework for doing this task, both theoretically and as a tool for solving practical problems. This course also focuses on the precise mathematical analysis of numerical methods based on consistency, convergence and stability concepts as well as their basic notions and underlying theory. The students who will take this course will have some understanding of how and under what conditions would numerical methods for solving practical problems work and what aspects they should consider when developing numerical methods on their own in their own field. | |||||||||
| MTH4033 | Numerical Partial Differential Equations | 3 | 6 | Major | Bachelor/Master | 1-4 | Mathematics | - | No |
| In this course, classical numerical methods for computing the solutions of parabolic partial differential equations and hyperbolic partial differential equations in one or more variables are introduced, explored and analyzed. Finite difference methods are our starting point and fundamental framework for doing this task, both theoretically and as a tool for solving practical problems. This course also focuses on the precise mathematical analysis of numerical methods based on consistency, convergence and stability concepts as well as their basic notions and underlying theory. The students who will take this course will have some understanding of how and under what conditions would numerical methods for solving practical problems work and what aspects they should consider when developing numerical methods on their own in their own field. | |||||||||