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Mathematics

For more details on the courses, please refer to the Course Catalog

교육과정
Code Course Title Credit Learning Time Division Degree Grade Note Language Availability
MTH5157 Nonlinear Algebra 3 6 Major Master/Doctor 1-3 - No
This course is intended to give students basic knowledge on various topics in algebra with the emphasis on . In its heart lies the algebraic geometry, with connection to combinatorics/algebraic topology/number theory/convex geometry/tensor/representation theory/numerical analysis. Our goal is to learn fundamental concepts and methodology to attack actual industrial problems in optimization/complexity theory/statistics.
MTH5158 Differentiable manifolds 3 6 Major Master/Doctor 1-4 - No
This course covers the fundamental theory of differentiable manifolds. The topics include differentiable structure, tangent space, tangent vectors, immersions, submersions, submanifolds, vector bundles, vector fields, Lie derivative, tensor fields, differential forms, integration of manifolds, Stokes’s theorem, de Rham cohomology and Lie groups.
MTH5159 Topics in Topology 3 6 Major Master/Doctor - No
This course aims to understand advanced knowledge and recent developments in the study of spaces. It introduces students to a selection of topics in topology, for example, Homotopy and homology theory, Geometric topology, Characteristic classes, and so on.
MTH5160 Low dimensional topology 3 6 Major Master/Doctor English Yes
Low dimensional topology usually studies manifolds with dimension less than equal to four. In this course, we will mainly study the properties of 3-dimensional manifolds. We will learn some basic properties of 3-manifolds and some methods to study 3-manifolds using curves and surfaces inside of them.
MTH5161 Industrial Mathematics 3 6 Major Master/Doctor - No
In this course, we study a main topic of industrial mathematics such as optimal control of mobility and robots, stochastic optimal control in financial engineering, basics and applications of reinforcement learning, and the recent development of numerical analysis techniques. Students learn mathematical basis of a topic and its programming. The course helps student learn how to understand the mathematical basis behind a topic of industrial mathematics and implement the algorithms by programming.
NAT2001 NaturalScienceIndependentStudy1 2 4 Major Bachelor 1 Science Korean Yes
This is an independent study course for students who have finished an excellent accomplishment of the course requirements and designed for giving credits which make an excellent record to the students for their research works. Most subjects assigned to students are related to the thesis topic for each student, which include literature survey, directed experiments, and data analysis. The aim of the class is to provide various conceptual backgrounds for the research, current problems and research needs, experimental design, and analysis for the results, which may not be offered by regular classes in the undergraduate program.
NAT2002 NaturalScienceIndependentStudy2 2 4 Major Bachelor 1 Science Korean Yes
This is an independent study course for students who have finished an excellent accomplishment of the course requirements and designed for giving credits which make an excellent record to the students for their research works. Most subjects assigned to students are related to the thesis topic for each student, which include literature survey, directed experiments, and data analysis. The aim of the class is to provide various conceptual backgrounds for the research, current problems and research needs, experimental design, and analysis for the results, which may not be offered by regular classes in the undergraduate program.
NAT2003 NaturalScienceIndependentStudy3 2 4 Major Bachelor 1 Science Korean Yes
This is an independent study course for students who have finished an excellent accomplishment of the course requirements and designed for giving credits which make an excellent record to the students for their research works. Most subjects assigned to students are related to the thesis topic for each student, which include literature survey, directed experiments, and data analysis. The aim of the class is to provide various conceptual backgrounds for the research, current problems and research needs, experimental design, and analysis for the results, which may not be offered by regular classes in the undergraduate program.
NAT2004 NaturalScienceIndependentStudy4 2 4 Major Bachelor 1 Science Korean Yes
This is an independent study course for students who have finished an excellent accomplishment of the course requirements and designed for giving credits which make an excellent record to the students for their research works. Most subjects assigned to students are related to the thesis topic for each student, which include literature survey, directed experiments, and data analysis The aim of the class is to provide various conceptual backgrounds for the research, current problems and research needs, experimental design, and analysis for the results, which may not be offered by regular classes in the undergraduate program.
NAT2005 NaturalScienceIndependentStudy5 2 4 Major Bachelor 1 Science - No
This is an independent study course for students who have finished an excellent accomplishment of the course requirements and designed for giving credits which make an excellent record to the students for their research works. Most subjects assigned to students are related to the thesis topic for each student, which include literature survey, directed experiments, and data analysis. The aim of the class is to provide various conceptual backgrounds for the research, current problems and research needs, experimental design, and analysis for the results, which may not be offered by regular classes in the undergraduate program.
NAT2006 Natural Sciences and the Humanities 3 6 Major Bachelor 2 Science Korean Yes
Natural sciences and the humanities can interact with each other in various ways. For example, although both have different point of view for the Nature, they interact complementarily. The development of the humanities leads the development in natural sciences, and the development in natural sciences leads the development of the humanities and various areas of arts. In this course, students of natural sciences can understand the interaction between natural sciences and the humanities and communicate with each other. Eventually, abilities in the humanities will be enhanced.
NAT2007 Natural Science and Artificial Intelligence 3 6 Major Bachelor 1-3 Science - No
Important topics in the development of artificial intelligence, such as percetron and backprogation learning will be taught in detail. Artificial neural network with hidden layer will be applied to build an AI system that can recognise hand-written images of numbers. Students need to bring their own notebooks and will write their own compter codes in the class hours. Computational neuroscience and functioning of brain will also be explained. AI application in physics will be dealt.
NAT4001 Special Lectures in Biotechnology Start-ups 3 6 Major Bachelor/Master Science - No
Invite the CEO or chief technology officer of on-campus/off-campus biotechnology companies founded based on life science/engineering technology, and venture capital investors who invest in biotechnology companies to introduce technology-based startup stories and entrepreneurship, as well as advice to students who want to start a biotechnology company in the future. At the end of the lecture, students formulate and present a plan for starting a virtual biotechnology company.
NAT4001 Special Lectures in Biotechnology Start-ups 3 6 Major Bachelor/Master Science - No
Invite the CEO or chief technology officer of on-campus/off-campus biotechnology companies founded based on life science/engineering technology, and venture capital investors who invest in biotechnology companies to introduce technology-based startup stories and entrepreneurship, as well as advice to students who want to start a biotechnology company in the future. At the end of the lecture, students formulate and present a plan for starting a virtual biotechnology company.
STA2011 Statistics 3 6 Major Bachelor 2-3 Statistics Korean,Korean Yes
Introduction to statistical concepts and methods for the collection, presentation, analysis, and interpretation of data. Histograms, means, standard deviations, medians as descriptive and summary statistics, and several important distributions including binomial and normal distributions. This course will concentrate on statistical inferences based on the knowledge from Introduction to Statistics. Basic concepts of estimation, testing and, test efficiency. Introduction to regression and analysis of variance will be covered