### Department of Applied Mathematics

### Department Of Applied Mathematics

Dept. location | |||
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Phone | 031-400-5460 | Fax | 031-400-5457 |

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Homepage | |||

SNS |

#### Introduction

Daniel McNulty / Post-Doc. |

Year | Term | No. | Curriculum | Course | Credits-lecture-experiential learning | |
---|---|---|---|---|---|---|

1 | 1 | CUL0005 | Korean Speaking and Writing | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is held twice a week, each for 1.5 hours. The course is mainly divided into two parts; one is Korean speaking and the other is Korean writing. Through the Korean speaking class, students will build the ability of excellent self-expression based on in-depth study about Korean language. In the Korean writing class, students will learn how to write different genres by understanding and analyzing various readers’ perspectives. Accordingly, at the end of the semester, the students will develop critical thinking ability as well as effective speaking and writing skills. | ||||||

1 | 1 | GEN0063 | General Physics 1 | (Compulsory) Requirement in Fundamental Studies | 2-3-0 | |

First semester of a two-semester calculus-based introductory physics course for science and engineering majors.This course will cover physics related to Newtonian mechanics, oscillations and waves, heat and thermodynamics. | ||||||

1 | 1 | GEN0068 | General Chemistry 1 | (Compulsory) Requirement in Fundamental Studies | 2-3-0 | |

Language of chemistry, chemical calculations, gas, solution, chemical equilibrium, acid-base reaction are discussed in order to understand the basic principles explaining properties of substance, molecular structure, chemical change, rules of chemistry and related concepts. | ||||||

1 | 1 | GEN2052 | Calculus 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is intended for students from the colleges of engineering and sciences to understand basic concept of mathematics applicable to relevant fields. It covers several basic topics such as Inverse Trigono metric Functions, Differentiation and Differentiable Functions, Polar Coordinates, Parametric Equations, Proper and Improper Integrals, Infinite Series, and Taylor Series. | ||||||

1 | 1 | MAT1001 | MATHEMATICAL EXPLORATIONS | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is for students who wish to experience how mathematical ideas naturally evolve; especially for students who have not yet found mathematics in reality. The course emphasizes ideas and imagination rather than techniques and calculations. Homework involves students in actively investigating mathematical ideas. | ||||||

1 | 1 | VCC1001 | Vision & Career in Campus life | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

His career as a wide range of knowledge and lessons learned in the previous semester plan to explore in depth the process. Employment working in the industry of major interest to seniors invited to hear the information about the industry to prepare for what you need to learn knowhow. In addition, students who already have a job that aim to visit seniors plan their careers and the skills necessary to equip determined to develop a career that any plan. | ||||||

1 | 1 | CUL0101 | Korean Speaking and Culture | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course is designed to develop the students’ faculty of understanding complex issues and the ability to clearly express what they are thinking about. Students will be provided opportunities to practice the skills of presentation, discussion, debate, interview and to receive feedback on their performance during the class. Following this, students learn how to present their reasoned arguments and how to better understand and accept other people's opinions. | ||||||

1 | 1 | CUL0106 | UNDERSTANDING SOFTWARE | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

1 | 1 | GEN0063 | General Physics 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

First semester of a two-semester calculus-based introductory physics course for science and engineering majors.This course will cover physics related to Newtonian mechanics, oscillations and waves, heat and thermodynamics. | ||||||

1 | 1 | GEN0068 | General Chemistry 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

Language of chemistry, chemical calculations, gas, solution, chemical equilibrium, acid-base reaction are discussed in order to understand the basic principles explaining properties of substance, molecular structure, chemical change, rules of chemistry and related concepts. | ||||||

1 | 1 | GEN2052 | Calculus 1 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is intended for students from the colleges of engineering and sciences to understand basic concept of mathematics applicable to relevant fields. It covers several basic topics such as Inverse Trigono metric Functions, Differentiation and Differentiable Functions, Polar Coordinates, Parametric Equations, Proper and Improper Integrals, Infinite Series, and Taylor Series. | ||||||

1 | 1 | MAT1001 | MATHEMATICAL EXPLORATIONS | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is for students who wish to experience how mathematical ideas naturally evolve; especially for students who have not yet found mathematics in reality. The course emphasizes ideas and imagination rather than techniques and calculations. Homework involves students in actively investigating mathematical ideas. | ||||||

1 | 1 | VCC1001 | Vision & Career in Campus life | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

His career as a wide range of knowledge and lessons learned in the previous semester plan to explore in depth the process. Employment working in the industry of major interest to seniors invited to hear the information about the industry to prepare for what you need to learn knowhow. In addition, students who already have a job that aim to visit seniors plan their careers and the skills necessary to equip determined to develop a career that any plan. | ||||||

1 | 2 | GEN0064 | General Physics 2 | (Compulsory) Requirement in Fundamental Studies | 2-3-0 | |

Second semester of a two-semester calculus-based introductory physics course for science and engineering majors. This course will cover physics related to electricity, magnetism, geometrical and physical optics, relativity and quantum mechanics. | ||||||

1 | 2 | GEN0069 | General Chemistry 2 | (Compulsory) Requirement in Fundamental Studies | 2-3-0 | |

Modern chemistry is the one of basic tools in uderstanding the natural sciences. Based on the contents treated in previous semester, various contents of chemistry associated with pure science and engineering are treated in this course. Topics including atomic structure, electronic configuration and periodic table, chemical bond, bondign theory, molecular structure, liquid, solid, molecular force, chemical reaction, thermochemisty, electrochemistry and nuclear chemistry are discussed to understand the nature of matter and their applications. | ||||||

1 | 2 | GEN2053 | Calculus 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

This course is a continuation of CALCULUS1, which aims at preparing the students for their study in their respective major subjects in natural sciences or engineering by equipping them with the knowledge of calculus and some basics of analytic geometry so that they may have the necessary mathematical background and the ability to take logical approaches when they confront the various problems in their study. The course presents the part of calculus and analytic geometry which include linear algebra, matrices and systems of linear equations, functions of several variables, partial differentiation, double integration and vector calculus, which are more advanced subjects then those of CALCULUS1. | ||||||

1 | 2 | GEN4091 | Philosophical Understanding of Science and Technology | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course aims to survey some important theoretical results recently obtained in science and technology studies. We will carefully examine a number of concrete case studies studied by scholars from philosophy of science and technology, sociology of science and technology, and history of science and technology. The students taking the course shall learn various aspects of modern science and technology in the context of modern society. They shall appreciate how modern science and technology from the nineteenth century has come to manifest a number of its unique features, which can be clearly distinguished from the science and technology of even, the eighteenth century. We will discuss in the class the significance of differences for proper understanding of science and technology of our time. The course will also encourage more interactions between humanities and natural sciences so that we can make well-informed and reasonable decisions concerning complicated issues which are so common in our multi-layered society. The target audience of the course is students studying natural sciences and/or engineering. The contents of the course will be stylized each term, considering the student';s needs and backgrounds. | ||||||

1 | 2 | GEN8000 | Creative English Reading-Beginning | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This ability-based course (beginning, intermediate, advanced) will provide the students with the opportunities to improve their reading skills needed before taking their own major classes. This course is designed to focus on reading, but it'll deal with general knowledge of English such as listening, speaking and writing. Therefore, with this course, students can improve their overall English communication skills. | ||||||

1 | 2 | GEN8001 | Creative English Reading-Intermediate | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This ability-based course (beginning, intermediate, advanced) will provide the students with the opportunities to improve their reading skills needed before taking their own major classes. This course is designed to focus on reading, but it'll deal with general knowledge of English such as listening, speaking and writing. Therefore, with this course, students can improve their overall English communication skills. | ||||||

1 | 2 | GEN8002 | Creative English Reading-Advanced | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This ability-based course (beginning, intermediate, advanced) will provide the students with the opportunities to improve their reading skills needed before taking their own major classes. This course is designed to focus on reading, but it'll deal with general knowledge of English such as listening, speaking and writing. Therefore, with this course, students can improve their overall English communication skills. | ||||||

1 | 2 | ITE1009 | C PROGRAMING | (Compulsory) Requirement in Fundamental Studies | 2-2-2 | |

C 프로그래밍 Principles of Computer Programming This class teaches the basic principles and techniques for solving real word problems using computers. Students can develop the ability to design efficient programs by learning the syntax of high level languages, the concepts of and elementary methodology for program design, and implementation techniques. Topics to be covered include the concepts of computer programming, basic programming methodology, data types, operators, expressions, control flow, functions, program structure, pointers and arrays. | ||||||

1 | 2 | MAT2004 | Set Theory | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

MAT204 Set Theory For modern mathematics, the set theory is the Fundamental grammar for all disciplines. In fact, all the mathematical objects are built with the underlying set by imposing various structures, which are also given within set theory. This course offers basic concepts of set, various operations between sets, function between sets, cardinality, and ordering. | ||||||

1 | 2 | CUL0102 | Korean Writing and Living | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course is designed to develop the students’ faculty of understanding complex issues and the ability to clearly express their thoughts in writing. Students will be trained to write correct sentences and to format texts of various genre, and then receive feedback on their performance during the class. Following this, students will learn how to present their reasoned thoughts effectively. | ||||||

1 | 2 | GEN0064 | General Physics 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

Second semester of a two-semester calculus-based introductory physics course for science and engineering majors. This course will cover physics related to electricity, magnetism, geometrical and physical optics, relativity and quantum mechanics. | ||||||

1 | 2 | GEN0069 | General Chemistry 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

Modern chemistry is the one of basic tools in uderstanding the natural sciences. Based on the contents treated in previous semester, various contents of chemistry associated with pure science and engineering are treated in this course. Topics including atomic structure, electronic configuration and periodic table, chemical bond, bondign theory, molecular structure, liquid, solid, molecular force, chemical reaction, thermochemisty, electrochemistry and nuclear chemistry are discussed to understand the nature of matter and their applications. | ||||||

1 | 2 | GEN1042 | Elementary Mandarin Chinese | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

Read the first time the Chinese rudimentary lexical representation based learning for students to learn Chinese pronunciation and tones the target language to be practical to equip the basic Chinese conversation skills-oriented daily life. | ||||||

1 | 2 | GEN2053 | Calculus 2 | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

. | ||||||

1 | 2 | ITE1009 | C PROGRAMING | (Compulsory) Requirement in Fundamental Studies | 2-1-2 | |

This course learns the C language to used the most widely. We are aimed to solve real-world problems to learn the basic syntax and the various features. - Learn basic grammar - Analyze and design the problem - Create a C program and check the result of the problem | ||||||

1 | 2 | MAT2004 | Set Theory | (Compulsory) Requirement in Fundamental Studies | 3-3-0 | |

MAT204 Set Theory For modern mathematics, the set theory is the Fundamental grammar for all disciplines. In fact, all the mathematical objects are built with the underlying set by imposing various structures, which are also given within set theory. This course offers basic concepts of set, various operations between sets, function between sets, cardinality, and ordering. | ||||||

2 | 1 | DEE2037 | English Communication1-Beginning | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course will provide the students with ability-based classes: beginning, intermediate and advanced. This course will focus on developing students’ English communication skills through interactions with interesting and engaging topics. With an emphasis on speaking and listening, all four language skills will be covered: listening, speaking, reading and writing. Lectures include grammar review, drills, and interactive exercises that will expand and sharpen student’s English ability. | ||||||

2 | 1 | DEE2038 | English Communication1-Intermediate | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course will provide the students with ability-based classes: beginning, intermediate and advanced. This course will focus on developing students’ English communication skills through interactions with interesting and engaging topics. With an emphasis on speaking and listening, all four language skills will be covered: listening, speaking, reading and writing. Lectures include grammar review, drills, and interactive exercises that will expand and sharpen student’s English ability. | ||||||

2 | 1 | DEE2039 | English Communication1-Advanced | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course will provide the students with ability-based classes: beginning, intermediate and advanced. This course will focus on developing students’ English communication skills through interactions with interesting and engaging topics. With an emphasis on speaking and listening, all four language skills will be covered: listening, speaking, reading and writing. Lectures include grammar review, drills, and interactive exercises that will expand and sharpen student’s English ability. | ||||||

2 | 1 | ELE4079 | INFORMATION THEORY | Core Major | 3-3-0 | |

Information theory formalises how information is characterised, quantified, and manipulated for applications e.g. various communication protocols. The course aims at introducing information theory and delivering the mathematical framework as well as its related information-theoretic tools. It contains topics of entropies, asymptotic equipartition properties, data compression, channel capacity, information and statistics, complexity, and network information theory. | ||||||

2 | 1 | GEN0036 | Introduction to Statistics | Core Major | 3-3-0 | |

GEN036 Introduction to Statistics This course is an introductory statistics course. However, it provides the foundations of statistics for students who want to take other statistics courses such as statistical computing, mathematical statistics and applied statistics. This course has three major areas; (1) descriptive statistics, which deals with summarization and description of data; (2) ideas of probability (conditional probability and expectation) (3) estimation and testing of parameters, such as interval estimation, test of mean and test of variance. Also, it covers simple regression analysis and categorical data analysis. | ||||||

2 | 1 | MAT2003 | Linear Algebra | Core Major | 3-3-0 | |

MAT203 Linear Algebra This course covers system of linear equations, matrices, and determinants, abstract vector spaces, linear transformations, inner products, geometry of Euclidean spaces, and eigenvalues. | ||||||

2 | 1 | MAT2011 | Ordinary Differential Equations | Core Major | 3-3-0 | |

MAT211 Ordinary Differential Equation This course will examines the following: first order equations and inequalities; Lipschiz condition and uniqueness, properties of linear equations, linear independence, wranskians, variation of constants formula, equations with constant coefficients and Laplace transformations analytic coefficients solutions in series, regular singular points, existence theorem, theory of two-point value problem, and Green's functions. | ||||||

2 | 1 | MAT2012 | Advanced Calculus | Core Major | 3-3-0 | |

MAT212 Advanced Calculus This course is an advanced course of calculus I/II and a basic course for students of science as well as engineering. The main subject of this course is the multivarate calculus. This course covers limits/continuity of functions defeind on Euclidian spcace, sequence/series of functions, Fourier series, derivatives/integrations of functions defeind on Euclidian spcace, inverse/implicit function theorem, Green's theorem, and Stock's theorem. | ||||||

2 | 1 | MAT2071 | MATHEMATICAL COMPUTING | Core Major | 3-3-0 | |

The goal of this course is to make students more comfortable computing in mathematics. Students will need unique powerful tools such as Matlab and Maple to analyze their problems and compute them numerically. The course will try to familiarize students with some mathematical computation. | ||||||

2 | 1 | VCC2001 | Career exploration for Youth Employment Entrepreneurship | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

This course provides lower grade students who want to get jobs the chance to prepare their advance into society. Students can learn how to understand the world of careers and think about their future plan by exploring career. Students will have online-class where they take test related to career-psychology and make their own career-roadmap in order to analyze themselves and explore their careers. | ||||||

2 | 1 | DEE2037 | English Communication1-Beginning | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

2 | 1 | DEE2038 | English Communication1-Intermediate | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

2 | 1 | DEE2039 | English Communication1-Advanced | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

2 | 1 | ELE4079 | INFORMATION THEORY | Core Major | 3-3-0 | |

Information theory formalises how information is characterised, quantified, and manipulated for applications e.g. various communication protocols. The course aims at introducing information theory and delivering the mathematical framework as well as its related information-theoretic tools. It contains topics of entropies, asymptotic equipartition properties, data compression, channel capacity, information and statistics, complexity, and network information theory. | ||||||

2 | 1 | GEN0036 | Introduction to Statistics | Core Major | 3-3-0 | |

GEN036 Introduction to Statistics This course is an introductory statistics course. However, it provides the foundations of statistics for students who want to take other statistics courses such as statistical computing, mathematical statistics and applied statistics. This course has three major areas; (1) descriptive statistics, which deals with summarization and description of data; (2) ideas of probability (conditional probability and expectation) (3) estimation and testing of parameters, such as interval estimation, test of mean and test of variance. Also, it covers simple regression analysis and categorical data analysis. | ||||||

2 | 1 | MAT2003 | Linear Algebra | Core Major | 3-3-0 | |

MAT203 Linear Algebra This course covers system of linear equations, matrices, and determinants, abstract vector spaces, linear transformations, inner products, geometry of Euclidean spaces, and eigenvalues. | ||||||

2 | 1 | MAT2009 | Differential Equations | Core Major | 3-3-0 | |

2 | 1 | MAT2012 | Advanced Calculus | Core Major | 3-3-0 | |

MAT212 Advanced Calculus This course is an advanced course of calculus I/II and a basic course for students of science as well as engineering. The main subject of this course is the multivarate calculus. This course covers limits/continuity of functions defeind on Euclidian spcace, sequence/series of functions, Fourier series, derivatives/integrations of functions defeind on Euclidian spcace, inverse/implicit function theorem, Green's theorem, and Stock's theorem. | ||||||

2 | 1 | VCC2001 | PBL & Career exploration for Youth Employment Entrepreneurship | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

This course provides lower grade students who want to get jobs the chance to prepare their advance into society. Students can learn how to understand the world of careers and think about their future plan by exploring career. Students will have online-class where they take test related to career-psychology and make their own career-roadmap in order to analyze themselves and explore their careers. | ||||||

2 | 2 | DEE2040 | English Communication2-Beginning | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course will provide the students with ability-based classes: beginning, intermediate and advanced. The main goal of this course is to provide a strong knowledge base of English which you can build on in the future. We will focus on vocabulary, expressions, pronunciation and grammar. The students will be asked to converse and write on different topics each class, and also there will be chances for free talking and writing within the framework of the given lesson. | ||||||

2 | 2 | DEE2041 | English Communication2-Intermediate | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course will provide the students with ability-based classes: beginning, intermediate and advanced. The main goal of this course is to provide a strong knowledge base of English which you can build on in the future. We will focus on vocabulary, expressions, pronunciation and grammar. The students will be asked to converse and write on different topics each class, and also there will be chances for free talking and writing within the framework of the given lesson. | ||||||

2 | 2 | DEE2042 | English Communication2-Advanced | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course will provide the students with ability-based classes: beginning, intermediate and advanced. The main goal of this course is to provide a strong knowledge base of English which you can build on in the future. We will focus on vocabulary, expressions, pronunciation and grammar. The students will be asked to converse and write on different topics each class, and also there will be chances for free talking and writing within the framework of the given lesson. | ||||||

2 | 2 | MAT2006 | Number Theory | Core Major | 3-3-0 | |

This course covers the properties of positive integers, divisibility, congruences, quadratic residues, and Diophantine equations. | ||||||

2 | 2 | MAT2013 | Partial Differential Equations | Core Major | 3-3-0 | |

MAT213 Partial Differential Equation Theory and methods of solution for partial differential equations, solution of linear and non-linear systems, use of multiple integrals and infinite series, classification of second-order equations in two variables, Laplace's equation and complex variables, second-order equations in more than two variables, separation of variables and eigenfunction expansion, Laplace operations, and spherical harmonics. | ||||||

2 | 2 | MAT2020 | Discrete Mathematics | Core Major | 3-3-0 | |

Discrete mathematics, the study of finite systems, has become increasingly important as the computer age has advanced. The digital computer is basically a finite structure, and its properties can be interpreted within the framework of finite mathematical systems. In this course, some of the following topics will be treated: combinatorics, lattices, Boolean algebra, finite difference equations, complexity theory, coding theory, and formal languages. | ||||||

2 | 2 | MAT2027 | Statistical Computing & Experiment | Core Major | 3-2-2 | |

MAT227 Statistical Computing and Experiment This course is mainly organized for computations of statistics. These computations can be done by Mintab, which is the object-oriented language performing interactive and batch jobs. Using Mintab, it covers: (1) statistical graphics, such as one-dimensional plot, two-dimensional plot, three-dimensional plot and dynamic graphics; (2) statistical computation, such as solution of linear/nonlinear equation and integrations; (3) Monte Carlo Simulations with random number generation, jackknife and Monte Carlo integration. | ||||||

2 | 2 | MAT2077 | Applied Mathematics IT | Core Major | 3-3-0 | |

2 | 2 | MAT4023 | Mathematical Modeling | Extended Major | 3-3-0 | |

Mathematical modeling is the process of bringing mathematical methods to bear on problems arising in the real world. In this course students will study selected mathematical models, learn general modeling techniques and gain experience in constructing original mathematical models and comparing their predictions with reality, both to appreciate the usefulness of mathematical models and to be aware of their limitations. | ||||||

2 | 2 | DEE2040 | English Communication2-Beginning | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

2 | 2 | DEE2041 | English Communication2-Intermediate | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

2 | 2 | DEE2042 | English Communication2-Advanced | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

2 | 2 | MAT2006 | Number Theory | Core Major | 3-3-0 | |

This course covers the properties of positive integers, divisibility, congruences, quadratic residues, and Diophantine equations. | ||||||

2 | 2 | MAT2020 | Discrete Mathematics | Core Major | 3-3-0 | |

Discrete mathematics, the study of finite systems, has become increasingly important as the computer age has advanced. The digital computer is basically a finite structure, and its properties can be interpreted within the framework of finite mathematical systems. In this course, some of the following topics will be treated: combinatorics, lattices, Boolean algebra, finite difference equations, complexity theory, coding theory, and formal languages. | ||||||

2 | 2 | MAT2027 | Statistical Computing & Experiment | Extended Major | 3-2-2 | |

MAT227 Statistical Computing and Experiment This course is mainly organized for computations of statistics. These computations can be done by Mintab, which is the object-oriented language performing interactive and batch jobs. Using Mintab, it covers: (1) statistical graphics, such as one-dimensional plot, two-dimensional plot, three-dimensional plot and dynamic graphics; (2) statistical computation, such as solution of linear/nonlinear equation and integrations; (3) Monte Carlo Simulations with random number generation, jackknife and Monte Carlo integration. | ||||||

2 | 2 | MAT2077 | Applied Mathematics IT | Extended Major | 2-2-0 | |

2 | 2 | MAT2078 | Probability Theory | Core Major | 3-3-0 | |

2 | 2 | MAT4023 | Mathematical Modeling | Extended Major | 3-3-0 | |

Mathematical modeling is the process of bringing mathematical methods to bear on problems arising in the real world. In this course students will study selected mathematical models, learn general modeling techniques and gain experience in constructing original mathematical models and comparing their predictions with reality, both to appreciate the usefulness of mathematical models and to be aware of their limitations. | ||||||

3 | 1 | MAT2005 | Analysis | Core Major | 3-3-0 | |

MAT205 Analysis The main topics of this course are the real number system (axiomatic definition and properties of real numbers); topoloy of metirc spaces (limit points, compact sets and connected set); numerical sequences and series; and continuity of functions (uniform continuity). | ||||||

3 | 1 | MAT3001 | Modern Algebra 1 | Core Major | 3-3-0 | |

MAT301 Modern Algebra 1 This course focuses on the fundamental properties of groups: symmetric groups, cyclic group, normal subgroups, group homomorphisms and isomorphisms, directsums, Cayley's theorem, automorphism groups, conjugacy class, solvable groups, group actions and Sylow's theorems. | ||||||

3 | 1 | MAT3012 | Mathematical Statistics | Core Major | 3-3-0 | |

MAT312 Mathematical Statistics These key mathematical concepts will be addressed in this course: probability in discrete sample spaces; combinatorial analysis; conditional probabilities, stochastic independence, the Laplace limit theorem, poison distribution, laws of large numbers, random variables, applications to physics and statistics; introduction to probability, mathematical models of random phenomena, mean and variance, expectation of random variables, and the sum of independent random variables. | ||||||

3 | 1 | MAT3030 | General Topology | Core Major | 3-3-0 | |

MAT330 General Topology As topology is a science determining the structure of topological space through the study of properties of invariant figures by continuous transformation, it deals with the properties of topological space, comparison, continuity and mapping in topological space , partical space, basic topological properties, separation space, closeness, direct product topology, connectedness, and metric space. | ||||||

3 | 1 | MAT3034 | COMPLEX ANALYSIS | Core Major | 3-3-0 | |

MAT334 Complex Variables The Laurent series, zeros and poles of order k, residue theorem, define integrals involving sines and cosines, evaluation of improper real integrals, improper integrals involving sines and cosines, integration through a branch cut, harmonic functions and Poisson's integral formula will be discussed in this course. Mapping by linear, linear fractional, exponential, logarithmic and trigonometric functions, and conformal mapping will also be taught. | ||||||

3 | 1 | MAT4009 | Graph Theory | Core Major | 3-3-0 | |

MAT409 Graph Theory In the past years, graph theory, a branch of combinatorial mathematics, has been gaining increasing popularity among works concerned with various aspects of science and engineering. The only prerequisites to discussing it are a basic knowledge of elementary group theory, topology, matrix theory, and complex analysis. Graph theory has proved useful in the study of the analysis of electrical networks, operations research, organization of compiler, design of algorithm, and optimization of codes, management and economics. As its name implies, graph theory is organized into several concepts and results; trees, Hamilton and Eulerian graph, directed graph, matrices of a graph, planarity, connectivity, matching, coloring, and matroid. | ||||||

3 | 1 | VCC3001 | Career Competency development for Youth Employment Entrepreneurship | (Compulsory) Requirement in Fundamental Studies | 2-2-0 | |

This course supports Junior students to plan their specific career which is in accordance with student's future plan. This course also supports self-improvement and managing career in order to actualize their future plan. The class will be presented in large-scale divided by the major. It will provide the information about getting the jobs and the kind of skills to get a job sice the class will mainly focus on the characteristic of the major and major-related jobs. | ||||||

3 | 1 | MAT2005 | Analysis | Core Major | 3-3-0 | |

MAT205 Analysis The main topics of this course are the real number system (axiomatic definition and properties of real numbers); topoloy of metirc spaces (limit points, compact sets and connected set); numerical sequences and series; and continuity of functions (uniform continuity). | ||||||

3 | 1 | MAT3001 | Modern Algebra 1 | Core Major | 3-3-0 | |

MAT301 Modern Algebra 1 This course focuses on the fundamental properties of groups: symmetric groups, cyclic group, normal subgroups, group homomorphisms and isomorphisms, directsums, Cayley's theorem, automorphism groups, conjugacy class, solvable groups, group actions and Sylow's theorems. | ||||||

3 | 1 | MAT3012 | Mathematical Statistics | Core Major | 3-3-0 | |

MAT312 Mathematical Statistics These key mathematical concepts will be addressed in this course: probability in discrete sample spaces; combinatorial analysis; conditional probabilities, stochastic independence, the Laplace limit theorem, poison distribution, laws of large numbers, random variables, applications to physics and statistics; introduction to probability, mathematical models of random phenomena, mean and variance, expectation of random variables, and the sum of independent random variables. | ||||||

3 | 1 | MAT3030 | General Topology | Core Major | 3-3-0 | |

MAT330 General Topology As topology is a science determining the structure of topological space through the study of properties of invariant figures by continuous transformation, it deals with the properties of topological space, comparison, continuity and mapping in topological space , partical space, basic topological properties, separation space, closeness, direct product topology, connectedness, and metric space. | ||||||

3 | 1 | MAT3034 | COMPLEX ANALYSIS | Extended Major | 3-3-0 | |

MAT334 Complex Variables The Laurent series, zeros and poles of order k, residue theorem, define integrals involving sines and cosines, evaluation of improper real integrals, improper integrals involving sines and cosines, integration through a branch cut, harmonic functions and Poisson's integral formula will be discussed in this course. Mapping by linear, linear fractional, exponential, logarithmic and trigonometric functions, and conformal mapping will also be taught. | ||||||

3 | 1 | MAT4009 | Graph Theory | Core Major | 3-3-0 | |

MAT409 Graph Theory In the past years, graph theory, a branch of combinatorial mathematics, has been gaining increasing popularity among works concerned with various aspects of science and engineering. The only prerequisites to discussing it are a basic knowledge of elementary group theory, topology, matrix theory, and complex analysis. Graph theory has proved useful in the study of the analysis of electrical networks, operations research, organization of compiler, design of algorithm, and optimization of codes, management and economics. As its name implies, graph theory is organized into several concepts and results; trees, Hamilton and Eulerian graph, directed graph, matrices of a graph, planarity, connectivity, matching, coloring, and matroid. | ||||||

3 | 2 | ITE3057 | Introduction to modern cryptography | Extended Major | 3-3-0 | |

This course introduces the history, development, and mathematical techniques of modern cryptography. It begins with two paradigms in cryptography, private-key and public-key cryptographic systems, and studies their security. It then introduces quantum computation that would break current cryptographic systems, and quantum cryptography that guarantees general security. | ||||||

3 | 2 | MAT3002 | Modern Algebra 2 | Extended Major | 3-3-0 | |

MAT302 Modern Algebra 2 This course will focus on the fundamental properties of rings: integral domains, ideals and factor groups, ring homomorphisms and isomorphisms, direct sum of rings; prime and maximal ideals, field of fractions, polynomial rings, matric rings, Euclidean domains, unique factorization domains, fundamental properties of modules, exact sequences and free modules. | ||||||

3 | 2 | MAT3008 | Numerical Analysis | Core Major | 3-3-0 | |

MAT308 Numerical Analysis The objective of this course is to introduce students of science to basic methods and tools for numerical computations through mathematical theory. The main subjects are: (1) error propagations and condition of problems, (2) root finding methods, (3) polynomial interpolations, (4) numerical differentiation and integrations, (5) systems of linear equations, and (6) approximations of functions and data. The student for this course are assumed to have taken linear algebra and advanced calculus, plus some program language such as C, Matlab, or Mathematica. | ||||||

3 | 2 | MAT3010 | Topology | Core Major | 3-3-0 | |

MAT310 Topology Recently general topology called point set theoretical topology became an essential part of the mathematical foundation of graduate students as well as of college students. This course will be of much help to students who want to know compressive and strict notions on topology. After studying topology 1, we here deal with Hausdorff space, regular space, compactness, Banach space, filter and net. | ||||||

3 | 2 | MAT3032 | Analysis of Several Variables | Core Major | 3-3-0 | |

MAT332 Analysis of Several variables The main topics of this course are differentiation of functions (Differentiation of vector-valued functions); sequences and series of functions (pointwise/uniform convergence, Stone-Weierstrass theorem); and functions of several variables (the inverse/implicit function theorems). | ||||||

3 | 2 | MAT3061 | APPLIED COMPLEX ANALYSIS | Extended Major | 3-3-0 | |

This course will covers contour integrations of complex variables, Fourier transforms, Laplace transforms and applications to partial differential equations. Additional topics may include some special functions. | ||||||

3 | 2 | MAT3067 | Quantum Computing and Quantum Algorithms | Extended Major | 3-3-0 | |

The complexity theory currently based on the model of conventional computers is expected to suffer significant modifications in the near future due to quantum computation that exploits quantum systems and quantum principles for computational tasks. This will introduce a new paradigm of computational model that also affects to cryptographic systems that rely their security on the complexity theory. The course aims to introduce quantum algorithms and models of quantum computation. Its relations to modern cryptography are also discussed. | ||||||

3 | 2 | ITE3057 | Introduction to modern cryptography | Extended Major | 3-3-0 | |

This course introduces the history, development, and mathematical techniques of modern cryptography. It begins with two paradigms in cryptography, private-key and public-key cryptographic systems, and studies their security. It then introduces quantum computation that would break current cryptographic systems, and quantum cryptography that guarantees general security. | ||||||

3 | 2 | MAT3002 | Modern Algebra 2 | Extended Major | 3-3-0 | |

MAT302 Modern Algebra 2 This course will focus on the fundamental properties of rings: integral domains, ideals and factor groups, ring homomorphisms and isomorphisms, direct sum of rings; prime and maximal ideals, field of fractions, polynomial rings, matric rings, Euclidean domains, unique factorization domains, fundamental properties of modules, exact sequences and free modules. | ||||||

3 | 2 | MAT3008 | Numerical Analysis | Core Major | 3-3-0 | |

MAT308 Numerical Analysis The objective of this course is to introduce students of science to basic methods and tools for numerical computations through mathematical theory. The main subjects are: (1) error propagations and condition of problems, (2) root finding methods, (3) polynomial interpolations, (4) numerical differentiation and integrations, (5) systems of linear equations, and (6) approximations of functions and data. The student for this course are assumed to have taken linear algebra and advanced calculus, plus some program language such as C, Matlab, or Mathematica. | ||||||

3 | 2 | MAT3010 | Topology | Core Major | 3-3-0 | |

MAT310 Topology Recently general topology called point set theoretical topology became an essential part of the mathematical foundation of graduate students as well as of college students. This course will be of much help to students who want to know compressive and strict notions on topology. After studying topology 1, we here deal with Hausdorff space, regular space, compactness, Banach space, filter and net. | ||||||

3 | 2 | MAT3032 | Analysis of Several Variables | Extended Major | 3-3-0 | |

MAT332 Analysis of Several variables The main topics of this course are differentiation of functions (Differentiation of vector-valued functions); sequences and series of functions (pointwise/uniform convergence, Stone-Weierstrass theorem); and functions of several variables (the inverse/implicit function theorems). | ||||||

3 | 2 | MAT3061 | APPLIED COMPLEX ANALYSIS | Extended Major | 3-3-0 | |

This course will covers contour integrations of complex variables, Fourier transforms, Laplace transforms and applications to partial differential equations. Additional topics may include some special functions. | ||||||

3 | 2 | MAT3067 | Quantum Computing and Quantum Algorithms | Extended Major | 3-3-0 | |

The complexity theory currently based on the model of conventional computers is expected to suffer significant modifications in the near future due to quantum computation that exploits quantum systems and quantum principles for computational tasks. This will introduce a new paradigm of computational model that also affects to cryptographic systems that rely their security on the complexity theory. The course aims to introduce quantum algorithms and models of quantum computation. Its relations to modern cryptography are also discussed. | ||||||

3 | 2 | VCC3003 | PBL & Competency development | (Compulsory) Requirement in Fundamental Studies | 1-1-0 | |

학생들의 사회진출 및 취업경쟁력 향상을 지원하는 수업으로, 온라인 강의와 더불어 전공교수와의 지속적인 상담 및 교내외 타 경력개발관련 프로그램과의 유기적인 연계활동을 통해 사회진출 역량을 배가시키는 수업임. 진로 및 취업상담 및 각종 역량진단 테스트와 기본적인 취업준비 스킬에 대한 대규모 비정규 교과 강의를 병행하여 진행함. | ||||||

4 | 1 | CIN4005 | Optimazation | Extended Major | 3-3-0 | |

CIN405 Optimization The purpose of this course is to introduce students to mathematical methods for understanding and solving optimization problems. Main subjects are: (1) cinstrained and unconstrained optimizations; (2) linear programmig(simplex method and duality theory); and (3) nonlinear convex programming(Kuhn-Tucker theory). Prerequisite subjects for this course are Advanced Calculus and Linear Algebra. | ||||||

4 | 1 | MAT3014 | Topological Geometry | Extended Major | 3-3-0 | |

MAT314 Topological Geometry This course is an advanced course of topology. Toplogical geometry is one of the major subjects of morden geomery. It has different concept from Klein geometry. This course deals with open cover, local compactness, and Bair category theorem. | ||||||

4 | 1 | MAT4025 | Introduction to Real Analysis | Extended Major | 3-3-0 | |

MAT425 Introduction to Real Analysis This course introduces students to general integration theory. Main subjects are Riemann integration, Riemann-Stieltjes Integral, introduction to measure, measurable functions, and Lebesgue integral. | ||||||

4 | 1 | MAT4068 | METHODS IN APPLIED MATHEMATICS | Extended Major | 3-3-0 | |

Among many topics in applied mathematics including complex analysis, asymptotic analysis, partial differential equations, integral equations, stochastic calculus, Monte Carlo simulations, approximation theory, optimization theory, graph theory, coding theory, topological analysis, and algebraic computations, etc, one or more can be taken for the lecture. | ||||||

4 | 1 | MAT4081 | CAPSTONE DESIGN FOR APPLIED MATHEMATICS1 | Core Major | 2-1-2 | |

The goal of this course is to provide students with an experience in qualitative and quantitative reasoning and data analysis through mathematical modeling of some real life problems. Students will involve some implementation of some mathematical model to test the relevance of the model. | ||||||

4 | 1 | MAT4086 | Quantum Communication and Quantum Cryptography | Extended Major | 3-3-0 | |

The course aims to introduce quantum communication and its capabilities with the formal language of operator algebras and quantum information theory. It begins with axiomatic formulation of quantum theory and brief summary of functional analysis, and then provides the frameworks of quantum information tasks that include generalized probabilistic theories, information theory, and information-theoretic security of cryptography. The course covers quantum channel capacities and cryptographic protocols. | ||||||

4 | 1 | MAT4087 | Matrix Analysis | Extended Major | 3-3-0 | |

4 | 1 | CIN4005 | Optimazation | Extended Major | 3-3-0 | |

CIN405 Optimization The purpose of this course is to introduce students to mathematical methods for understanding and solving optimization problems. Main subjects are: (1) cinstrained and unconstrained optimizations; (2) linear programmig(simplex method and duality theory); and (3) nonlinear convex programming(Kuhn-Tucker theory). Prerequisite subjects for this course are Advanced Calculus and Linear Algebra. | ||||||

4 | 1 | MAT3014 | Topological Geometry | Extended Major | 3-3-0 | |

MAT314 Topological Geometry This course is an advanced course of topology. Toplogical geometry is one of the major subjects of morden geomery. It has different concept from Klein geometry. This course deals with open cover, local compactness, and Bair category theorem. | ||||||

4 | 1 | MAT4081 | CAPSTONE DESIGN FOR APPLIED MATHEMATICS1 | Extended Major | 2-1-2 | |

The goal of this course is to provide students with an experience in qualitative and quantitative reasoning and data analysis through mathematical modeling of some real life problems. Students will involve some implementation of some mathematical model to test the relevance of the model. | ||||||

4 | 1 | MAT4086 | Quantum Communication and Quantum Cryptography | Extended Major | 3-3-0 | |

The course aims to introduce quantum communication and its capabilities with the formal language of operator algebras and quantum information theory. It begins with axiomatic formulation of quantum theory and brief summary of functional analysis, and then provides the frameworks of quantum information tasks that include generalized probabilistic theories, information theory, and information-theoretic security of cryptography. The course covers quantum channel capacities and cryptographic protocols. | ||||||

4 | 1 | MAT4087 | Matrix Analysis | Extended Major | 3-3-0 | |

4 | 2 | AMA0003 | TOPICS IN APPLIED MATHEMATICS | Extended Major | 3-3-0 | |

This course is interdisciplinary and flexible. Students will involve some research project related to mathematics and statistics in the real world. The course will consist in qualitative or quantitative analysis for some model problems. | ||||||

4 | 2 | INE2007 | Applied Statistics | Extended Major | 3-3-0 | |

This course covers some statistical methodologies such as regression analysis, the generalized linear model, experimental design, and categorical data analysis, which can analyze phenomena and data encountered in various fields including Engineering, Economics, and Medical Sciences. Further, one of popular statistical packages, SAS will be used in data analysis. | ||||||

4 | 2 | MAT4006 | History of Mathematics | Extended Major | 3-3-0 | |

Survey of the development of mathematics from antiquity to the present, with an emphasis on the achievements, problems, and mathematical viewpoints of each historical period and the evolution of such basic concepts as number, geometry, construction, and proof. Readings from original sources in translation. | ||||||

4 | 2 | MAT4067 | INTRODUCTION TO DIFFERENTIAL GEOMETRY | Extended Major | 3-3-0 | |

The differential geometry deals with the intrinsic properties of differential manifolds like curves and surfaces. Defining the differential structures on manifolds and using analytical tools of mathematics, the properties involved with the manifolds are explored. | ||||||

4 | 2 | MAT4082 | MATHEMATICS IN THE REAL WORLD | Extended Major | 3-3-0 | |

This course will consist in selected uses of mathematics to solve real relevant problems. Students actively involve the complete applied mathematical methodology. | ||||||

4 | 2 | MAT4083 | CAPSTONE DESIGN FOR APPLIED MATHEMATICS 2 | Core Major | 2-1-2 | |

The goal of this course is to provide students with an experience in qualitative and quantitative reasoning and data analysis through mathematical modeling of some real life problems. Students will involve some implementation of some mathematical model to test the relevance of the model. | ||||||

4 | 2 | AMA0003 | TOPICS IN APPLIED MATHEMATICS | Extended Major | 2-2-0 | |

This course is interdisciplinary and flexible. Students will involve some research project related to mathematics and statistics in the real world. The course will consist in qualitative or quantitative analysis for some model problems. | ||||||

4 | 2 | INE2007 | Applied Statistics | Extended Major | 3-3-0 | |

This course covers some statistical methodologies such as regression analysis, the generalized linear model, experimental design, and categorical data analysis, which can analyze phenomena and data encountered in various fields including Engineering, Economics, and Medical Sciences. Further, one of popular statistical packages, SAS will be used in data analysis. | ||||||

4 | 2 | MAT4067 | INTRODUCTION TO DIFFERENTIAL GEOMETRY | Extended Major | 3-3-0 | |

The differential geometry deals with the intrinsic properties of differential manifolds like curves and surfaces. Defining the differential structures on manifolds and using analytical tools of mathematics, the properties involved with the manifolds are explored. | ||||||

4 | 2 | MAT4082 | MATHEMATICS IN THE REAL WORLD | Extended Major | 3-3-0 | |

This course will consist in selected uses of mathematics to solve real relevant problems. Students actively involve the complete applied mathematical methodology. | ||||||

4 | 2 | MAT4083 | CAPSTONE DESIGN FOR APPLIED MATHEMATICS 2 | Extended Major | 2-1-2 | |