# Mathematical Analysis

In a rough division of mathematics, Mathematical analysis is a branch of mathematics that deals with functions and their generalizations by the method of inequalities and limits. Mathematical analysis includes a broad range of mathematics. It includes differential calculus; integral calculus; functions of a complex variable, approximation theory; ordinary differential equations, partial differential equations, functional analysis and harmonic analysis. Modern number theory and probability theory use and develop methods of mathematical analysis as well.

### Undergraduate courses

- MTH202 Ordinary Differential Equations
- MTH251 Mathematical Analysis I
- MTH252 Mathematical Analysis II
- MTH311 Complex Analysis I
- MTH312 Complex Analysis II
- MTH341 Probability
- MTH351 General Topology
- MTH412 Dynamical Systems
- MTH420 Fourier Analysis
- MTH421 Introduction to Partial Differential Equations
- MTH461 Stochastic Processes

### Graduate Courses

- MTH501 Real analysis
- MTH502 Functional Analysis
- MTH503 Probability and stochastic processes
- MTH509 Partial Differential Equations
- MTH510 Nonlinear Partial Differential Equations
- MTH513 Dynamical systems
- MTH517 Stochastic Calculus and applications

### Seminars

#### 2014 Fall

- Heejune Choe, Yonsei University, Navier-Stokes regularity question
- InKyung Ahn, Korea University, Population models in heterogeneous environments
- Dongho Chae, Chung-Ang University, Liouville type theorems in the fluid
- Yong-Jung Kim, KAIST, Non-uniform random dispersal and its application to mathematical biology and physics

#### 2014 Spring

- Hantaek Bae, UC Davis, Mathematical theory of the Euler equation
- Masahiro Suzuki, Tokyo Institute of Technology, Stationary solutions to the Euler-Poisson equations for a multicomponent plasma
- Moon-Jin Kang, The University of Texas at Austin, L^2 contraction for shocks of a scalar viscous conservation law
- Dukbin Cho, Dongguk University, Isogeometric Analysis

#### 2013 Fall

- Young-Pil Choi, Imperial College London, Complete synchronization of 1st and 2nd order of Kuramoto oscillators
- Jae Ryong Kweon, POSTECH, What is the singular behavior of compressible viscous flows at the vertices ?

#### 2013 Spring

- Yonghoon Lee, Pusan National University, A new solution operator for p-Laplacian problems
- Sanghyuk Lee, Seoul National University, Convergence of Fourier integrals in Lebesgue spaces
- Shinya Nishibata, Tokyo Institute of Technology, Shock waves for a model system of the radiating gas
- Soonsik Kwon, KAIST, Normal form reduction for nonlinear dispersive equations

#### 2012 Fall

- Hyeonbae Kang, Inha University, Spectral analysis of Neumann-Poincare operator and applications
- Minkyu Kwak, Chonnam National University, Some results related to Navier-Stokes equations
- Hanteak Bae, University of Maryland-College Park, Regularity of non-isotropic degenerate parabolic-hyperbolic equations
- Hyeokng-ohk Bae, Ajou University, The Cucker-Smale flocking model interacting with an incompressible viscous fluid
- Sungik Sohn, Ganuneung-Wonju National University, Modeling and Simulations of Hydrodynamic Instability
- Seung-Yeol Ha, Seoul National University, Collective behaviors of many-body particle systems
- Dongwoo Sheen, Seoul National University

#### 2012 Spring

- Masahiro Suzuki, Tokyo Institute of Technology, The hierarchy of models for semiconductors
- Inbo Sim, University of Ulsan, Introduction to global bifurcation theory and its applications to p-Laplacians with singular weight functions,
- Kyeong-Hun Kim, Korea University, Introduction to stochastic differential equations and their applications I
- Kijung Lee, Ajou University, Introduction to stochastic differential equations and their applications II
- Juan Lopez, Arizona State University and Kyungpook National University, Instabilities and inertial waves in rapidly rotating flows

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