Education
Graduate
합리적이고 창의적인 수학 교육
수리과학과는 전통적인 분야인 대수학, 해석학, 위상수학, 기하학에서부터 확률, 통계, 계산수학, 금융수학, 생물수학에 이르기까지 순수수학과 응용수학을 아우르는 교육을 통하여, 합리적이고 창의적인 사고 능력을 갖춘 인재와 수학의 기본이론과 응용이론에 정통한 전문인력 양성을 추구합니다.
오늘날 서로 다른 분야를 종합하는 통합의 학문으로 재조명 받고 있는 수리과학의 위상에 발맞추어, 자연과학, 공학, 경영학 등과의 학제간 연구를 이끌고 연구소 및 산업체들과의 적극적 교류를 통하여 한국 수리과학 연구의 산실이 되고자 합니다.
Reasonable and creative math education
Department of Mathematical Science explores the connections between mathematics and its applications at both the research and educational levels. In addition to focusing on traditional study in pure mathematics, our research at UNIST is devoted to encompass some of the most diverse and interdisciplinary research in the physical, business, economics, engineering, and biological sciences. The department provides a dynamic and engaging research environment in scientific computing, mathematical biology, finance, dynamical systems, image processing, number theory and analysis in PDEs.
The undergraduate and graduate curriculum is planned with the following varied objectives: (1) to offer students an introduction to the fundamental study of quantity, structure, space, and change; (2) to prepare students for graduate study in pure or applied mathematics; (3) to serve the needs of students in fields that rely substantially on mathematics, such as the physics, biology, engineering, business and economics.
Course No.  Course Title  Prerequisite 

MTH501 
Real Analysis

330 
Real analysis is fundamental to many of the other courses in applied mathematics. Topics include metric spaces, Banach spaces, measure theory, and the theory of integration and differentiation.  
MTH502 
Functional Analysis

330 
This covers certain topologicalalgebraic structures that can be applied analytic problems. Topics include Topological vector spaces, Completeness, Convexity, Duality in Banach spaces, Distributions, Fourier transforms, Banach algebras, Bounded and unbounded operators on a Hilbert spaces.  
MTH503 
Probability and Stochastic process

330 
Basic and advanced theories in probability and stochastic processes will be covered including expectation, conditional probability, law of large numbers, central limit theorem, markov chains, martingales, and Brownian motions.  
MTH505 
Numerical Analysis and applications

330 
This course emphasizes the development of basic numerical algorithms for common problems formulated in science and engineering. The course covers interpolation and approximation of functions, numerical differentiation and integration, numerical solutions of ordinary differential equations and direct and iterative methods in linear algebra.  
MTH507 
Numerical Linear Algebra

330 
This course covers basic theory and methods for matrix computation. LUdecomposition, QR factorization, least square method. Condition numbers and accuracy. Solutions of large sparse matrix system and iterative methods.  
MTH509 
Partial Differential Equations

330 
This course covers the theory of the classical partial differential equations, the method of characteristics for first order equations, the Fourier transform, the theory of distributions in Sobolev spaces, and techniques of functional analysis.  
MTH510 
Nonlinear Partial Differential Equations

330 
This course covers the theory of the nonlinear partial differential equations, the method of characteristics for first order equations, Quasilinear equations, Fixed point theorems, and fully nonlinear equations.  
MTH511 
Numerical Methods for PDEs I

330 
Finite difference methods for solving ordinary and partial differential equations. Fundamental concepts of consistency, accuracy, stability and convergence of finite difference methods will be covered. Associated theory will be discussed.  
MTH512 
Numerical Methods for PDEs II

330 
Finite element methods for ordinary and partial differential equations will be covered. Algorithm development, analysis, and computer implementation issues will be addressed. Also we will discuss the generalized and discontinuous Galerkin finite element method.  
MTH513 
Dynamical Systems

330 
This course provides tools to characterize qualitative properties of linear and nonlinear dynamical systems in both continuous and discrete time. The course covers stability analysis of differential equations, Hamiltonian systems, Pointcare mapping, and Reduction methods.  
MTH515 
Mathematical Methods for engineers

330 
This course provides concise introductions to mathematical methods for problems formulated in science and engineering. Some selected topics are functions of a complex variable, Fourier analysis, calculus of variations, perturbation methods, special functions, dimension analysis, tensor analysis.  
MTH517 
Stochastic Calculus and applications

330 
Brownian motion, Ito’s rule, stochastic integrals, and stochastic differential equations as well as their numerical simulations are covered. Application to chemistry, finance and partial differential equations will be also included  
MTH519 
Advanced Statistics

330 
Mathematical backgrounds for basic statistical analyses are covered. We deal with properties of probability distributions, limit theorems including laws of larger numbers and central limit theorem, theories for hypothesis test and inference, analysis of variance, and nonparametric analysis  
MTH521 
Computational Statistics for Biological Sciences

330 
Linear model, multivariate analysis, survival analysis and some machine learning methods for genome and clinical data analysis using R software  
MTH531 
Scientific Computing

330 
This course provides fundamental techniques in scientific computation with an introduction to the theory and software of the topics: Monte Carlo simulation, numerical linear algebra, numerical methods of ordinary and partial differential equations, Fourier and wavelet transform methods. This course may involve numerical coding assignments and some use of software packages.  
MTH532 
Advanced Scientific Computing

330 
Topics include an overview of computer hardware, software tools and packages, commonly used numerical methods, visualization of results, highperformance computing and parallel programming. This course may involve numerical coding assignments and some use of software packages.  
MTH711 
Selected Topics in Computational Mathematics I

330 
This course covers topics of current interest in computational mathematics for solving linear and nonlinear partial differential equations.  
MTH712 
Selected Topics in Computational Mathematics II

330 
This course covers topics of current interest in computational mathematics for solving linear and nonlinear partial differential equations.  
MTH590 
Seminar

110 
The purpose of this course is to extend knowledge to the stateoftheart R & D in real scientific fields; and to get indirect experience by contacting experts in various fields. Students and professors can exchange their own ideas and information to reach creative and finetuned achievements through the seminars.  
MTH690 
Master’s Research

Value of credit 
This course is related to the students graduate thesis. As such, students should be actively working on their research problems.  
MTH890 
Doctoral Research

Value of credit 
This course is related to the students graduate thesis. As such, students should be actively working on their research problems.  
MTH551 
Algebra

330 
대수학  
MTH555 
Number theory

330 
정수론  
MTH561 
Differentiable manifolds

330 
미분다양체  
MTH563 
Differential geometry

330 
미분기하학  
MTH571 
Algebraic geometry

330 
대수적 위상수학  
MTH721 
Selected topics in partial differential equations I

330 
This course covers an introduction of L_p theory of elliptic and parabolic differential equation and theory of NavierStokes equations.  
MTH722 
Selected topics in partial differential equations II

330 
This course covers topics of current interest in partial differential equations.  
MTH731 
Selected topics in mathematical biology I

330 
This course covers advanced topics in mathematical biology including modeling in biochemical networks, population dynamics, and tumor cell growth.  
MTH732 
Selected topics in mathematical biology II

330 
This course covers advanced topics in mathematical biology including modeling in biochemical networks, population dynamics, and tumor cell growth.  
MTH741 
Selected topics in probability and statistics I

330 
Special topics in probability & statistics and their recent applications in science and engineering will be covered.  
MTH742 
Selected topics in probability and statistics II

330 
Special topics in probability & statistics and their recent applications in science and engineering will be covered.  
MTH751 
Selected topics in image processing I

330 
This course introduces fundamental issues in image processing and provides mathematical ideas to understand and interpret images better via variational andd PDE methods. (Recommended prerequisite courses : MTH501, MTH505)  
MTH752 
Selected topics in image processing II

330 
This course covers topics of current interest in image processing for mathematical analysis and introduces efficient algorithms for mathematical solutions. (Recommended prerequisite courses : MTH501, MTH505)  
MTH761 
Selected topics in number theory

330 
This course includes advanced topics of current interest in number theory.  
MTH762 
Selected topics in number theory II

330 
This course includes advanced topics of current interest in number theory. 