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