For more details on the courses, please refer to the Course Catalog
| Code | Course Title | Credit | Learning Time | Division | Degree | Grade | Note | Language | Availability |
|---|---|---|---|---|---|---|---|---|---|
| ISS3290 | Introduction to Big Data Analysis | 3 | 6 | Major | Bachelor | English | Yes | ||
| Understand the genesis of Big Data Systems • Understand practical knowledge of Big Data Analysis using Hive, Pig, Sqoop • Provide the student with a detailed understanding of effective behavioral and technical techniques in Cloud Computing on Big Data • Demonstrate knowledge of Big Data in industry and its Architecture • Learn data analysis, modeling and visualization in Big Data systems | |||||||||
| MTH2002 | Number Theory | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| Introduction to number theory. This course will cover primes, unique factorization, congruences, quadratic residues, arithematic functions, Diophantine equations, and Gaussian integers. | |||||||||
| MTH2003 | Vector Calculus | 3 | 6 | Major | Bachelor | 2-3 | - | No | |
| In this class, we study differentiation and integration and extend theses concepts on curves, surfaces and manifolds. Relations between differentiation and integration of vector valued functions are presented. In details, we study differentiation of a function of several variables, inverse function theorem, implicit function theorem, minimum and maximum of a function of several variables, multiple integration, Fubini theorem, change of variables, vector fields, differential forms, integration on chain, Green theorem, Stokes theorem on manifolds. | |||||||||
| MTH2006 | Analysis Ⅱ | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| This is a continuing course which follows analysis I. Topics cover: the Riemann-Stieltjes integral, uniform convergence, the stone-weierstrass theorem, special functions, contraction principle, the inverse function theorem, the implicit function theorem, the rank theorem, multivariable calculus, Stokes' theorem, etc. | |||||||||
| MTH2007 | Differential Equations | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| Basic theory of elementary differential equation and its application are dealt with : first order ordinary differential equation, constant coefficient linear ordinary differential, high order ordinary differential equation, solution by series(Legendre differential equation, Bessel differential equation), etc. | |||||||||
| MTH2008 | Set Theory | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| Set theory is for the junior or senior of mathematical sciences as one-semester course. Especially, it is essential for mathematics major students. Sets, union and intersection, cartesian product, functions, image, inverse image, cardinality, countable and uncountable, relations, equivalence classes, partially ordered and totally ordered sets, axiom of choice, Zorn's lemma are treated. | |||||||||
| MTH2011 | Computer Aided Applied Mathematics | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| The course is intended for the use and the application of Mathematical softwares, especially Mathematica. Our goal is to provide another aspect of the basic and advanced concepts in Mathematics through symbolic and computational mathematical softwares | |||||||||
| MTH2012 | Applied Differential Equations | 3 | 6 | Major | Bachelor | 2-3 | - | No | |
| This course will be a continuation of ordinary differential equations.Topics include : Laplace transformations and its applications ; total differential equations ; partial differential equations of the first order ; linear partial differential equations ; linear higher order partial differential equations with constant coefficients. | |||||||||
| MTH2013 | Analysis | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| This is a course to learn the structure of a proof and to be able to prove results by themselves. Topics cover : Real and complex number systems, basic topology, sequences and series, continuity and uniform continuity, differentiation and properties of differentiable functions etc. | |||||||||
| MTH2014 | Modern Algebra | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
| This course will cover the following topics : Equivalence relations ; concepts of group, subgroup, and cyclic group ; Lagrange's theorem ; Isomorphism theorems ; Cayley's therem ; factor group ; simple group ; series of groups ; group action and its applications ; Sylow theorems and its applications. | |||||||||
| MTH2015 | Probability and Statistics | 3 | 6 | Major | Bachelor | 2-3 | English | Yes | |
| Descriptive Statistics, elementary probability, random variables, probability models, sampling distribution, the central limit theorem, confidence intervals and one-sample tests based on normal, t and chi square with applications to various fields in science and engineering. | |||||||||
| MTH2016 | Matrix Theory | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| Main course in Linear Algebra. This course will cover some theoretical aspects of the following topics ; systems of linear equations and matrices, LU-factorization, rank-nullity theorem, matrix representation of linear transformations, change of basis and similarity, inner product spaces, orthogonal matrices and Gram-Schmidt process, least square solution, eigenvectorand matrix diagonalization, Complex vector spaces, Schur's theorem, Jordan canonical forms, Cayley-Hamilton theorem etc.(prerequisite:2005082 Linear Algebra, or permission of Instructor etc.) | |||||||||
| MTH2017 | Complex Analysis | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
| This course will cover half of standard topics on functions of one complex variable. The main contents are complex number systems, elementary functions and their mapping properties, analytic functions, contour integration, Cauchy's theorem and its applications. | |||||||||
| MTH2018 | Introduction to Geometry | 3 | 6 | Major | Bachelor | 2-3 | English | Yes | |
| In this course, we study transformation and geometry. Topics include motions onthe Euclidean plane, transformations of similarity, affine transformation and projective transformation. Also vector calculus and some basic concepts from advanced calculus can be included as an introduction to differential geometry. | |||||||||
| MTH2019 | Introduction to Mathematical Finance | 3 | 6 | Major | Bachelor | 2-3 | - | No | |
| This is the introductory course for Mathematical Finance which covers the fundamental concepts and evaluation of financial commodities and applications including derivatives and assets. | |||||||||