| Code No. |
Subject |
Courses of Instruction |
Year |
Term |
Credit |
(Basic Cultural Courses ) |
| 970141 |
Calculus 1 |
A study of fundamental subjects for engineering and natural science students, this course helps them understand limits, continuity, derivative and its applications, integral and its applications, sequences and infinite series. |
1 |
1 |
3 |
| 970142 |
Physics and Experiment |
This course consists of lecture (2 hours) and experiment (2 hours). The purpose of the course is to provide the fundamental knowledge of physics and the practice of experiments for students who first encounter college physics. |
1 |
1 |
3 |
| 970145 |
Introduction to Chemistry |
This course aims to make teaching and learning fundamental concepts of electron structure, covalent bond, organic chemistry, and biochemistry. |
1 |
1 |
3 |
| 970143 |
Calculus 2 |
A study of fundamental subjects for engineering and natural science students, this course helps them understand vector and matrix, vector spaces, partial differentiation and its applications, double integral and its applications. |
1 |
2 |
3 |
| 970144 |
Physics and Experiment 2 |
This course consists of lecture (2 hours) and experiment (2 hours). The purpose of the course is to provide the fundamental knowledge of physics and the practice of experiments for students who first encounter college physics. |
1 |
2 |
3 |
| 970146 |
Introduction of Biology |
An introduction to the principles and vocabulary of biology appropriate for those in mathematical and natural sciences or for general education. |
1 |
2 |
3 |
| (Basic Major Courses) |
| 25E101 |
Analysis 1 |
This course provides sequences and series, continuities, and derivatives. |
2 |
1 |
3 |
| 25E109 |
Differential Equations 1 |
This course embraces ordinary differential equations, linear first order differential equations, higher order linear differential equations, system of linear differential equations, and series solutions. |
2 |
1 |
3 |
| 25E201 |
Number Theory |
Learning integers, G.C.D. and prime factorization, congruences, Wilson's theorem, Fermat's little theorem, Euler's theorem, multiplicative functions, and primitive roots. |
2 |
1 |
3 |
| 25E104 |
Algebra |
This course aims to teach some computer languages, fortran, and error estimations. |
2 |
2 |
3 |
| 25E105 |
Numerial Analysis & Lab |
This course aims to teach some computer languages, fortran, and error estimations |
2 |
2 |
3 |
| 25E106 |
Topology 1 |
This course contains accumulation points, bases, subbases, neighborhood, relative topology, homeomorphism, compactness, connection, matrix topology, and separation axioms. |
2 |
2 |
3 |
| 25E103 |
Geometry |
History of geometry, Euclidean geometry, Affine geometryt, Elliptic geometry, Hyperbolic geometry are studied. |
3 |
1 |
3 |
| 25E107 |
Real Analysis 1 |
This course consists of Lebesque measure and outer measure, measure space, properties of measurable functions and Lebesque integrals, and convergence in measure. |
3 |
1 |
3 |
| 25E108 |
Complex Analysis 1 |
This course includes complex numbers, analytic functions, complex integrations, complex series, residues, and polars. |
3 |
1 |
3 |
| 25E205 |
Probability Theory |
This course investigates sample space, probability and probability space, probability distribution, expectation, conditional probability distribution, Markov chains, and some basic concepts of probability theory. |
3 |
1 |
3 |
| 25E110 |
Statistics |
A comprehensive study of the following topics: probability distribution, sample distribution, estimation, tests, regression analysis, etc. |
3 |
2 |
3 |
| 25E111 |
Modern Algebra 1 |
This course deals with ring theory, homomorphisms, polynomial rings, and ideals. |
3 |
2 |
3 |
| (Intensified Major Courses ) |
| 25E215 |
Linear Algebra |
This course aims to deal with the discussion of vector spaces, linear transformations, eigenvectors and eigenvalues. |
2 |
1 |
3 |
| 25E216 |
Set Theory |
This course aims to study about all the concepts and the basic features of set including function and partition. |
2 |
1 |
3 |
| 25E202 |
Analysis 2 |
A comprehensive study of the following topics£ºRiemann-Stieltjes integrals, functional sequence and series, derivatives of multivalued functions, and complex functions. |
2 |
2 |
3 |
| 25E206 |
Differential Equations 2 |
This course deals with solutions to differentional equations, total differentional equations, Laplace transforms, Fourier series and solutions. |
2 |
2 |
3 |
| 25E113 |
Combinatorics |
This course discusses Tychonoff theorem, Urysohn lemma and sequence, filterbases, nets, and compactness. |
3 |
1 |
3 |
| 25E203 |
Topology 2 |
This course discusses Tychonoff theorem, Urysohn lemma and sequence, filterbases, nets, and compactness. |
3 |
1 |
3 |
| 25E217 |
Applied mathematics & Lab |
This course aims to understand the Maple program generally through the practice |
3 |
1 |
3 |
| 25E112 |
Differential Geometry 1 |
This course is for students who have completed standard courses in calculus and linear algebra, and its aim is to introduce some of the main idea of curve and surfacetheory in differential qeometry. |
3 |
2 |
3 |
| 25E208 |
Real Analysis 2 |
A comprehensive study of the following topics: general measure theory, Banach space, Hilbert space, etc. |
3 |
2 |
3 |
| 25E209 |
Complex Analysis 2 |
This course includes Schwarz-Christoff transforms, poison integrals, analytic continuation, and particular functions. |
3 |
2 |
3 |
| 25E218 |
Discrete Mathematics |
This course aims to study about proposition, reasoning, graph theory, lattice, automata and algorithm. |
3 |
2 |
3 |
| 25E219 |
Advanced Topology |
This course aims to study about the fundamental concept and nature of advanced topology including related set and components. |
3 |
2 |
3 |
| 25E210 |
Probability & Statistics 1 |
A comprehensive study of the following contents: probability theory, discontinuous probability variables, continuous probability variables, moments, and some continuous distribution functions. |
4 |
1 |
3 |
| 25E211 |
Modern Algebra 2 |
Learning fields, field extension, Galois groups, and Abel theorem. |
4 |
1 |
3 |
| 25E213 |
Differential Geometry 2 |
Surfaces in the 3-dimensional Euclidean space are studied. |
4 |
1 |
3 |
| 25E214 |
Probability & Statistics 2 |
This course deals with sample theory and point estimation, multi-variable distribution functions, interior estimation, tests of hypotheses, regression courses and linear assumption, and plot experimentation. |
4 |
2 |
3 |
| 25E220 |
Algebraic Coding Theory |
This course aims to study about group coding, polynomial expression coding, hamming coding, BCH coding, and MDS coding. |
4 |
2 |
3 |
| 25E221 |
Advanced Analysis |
This course aims to study the basic theories of metric space in abstract space, topological space, compact space, Banach space and Hilbert space as well as the nature of functions in these spaces, and to research about the basic theories about functional analysis and topics in differential equation. |
4 |
2 |
3 |
| (Pedagogical Courses ) |
| 25E903 |
Theories of Mathematics Education |
This course contains the modernization, background, and the history of Korean mathematics education |
3 |
2 |
3 |
| 25E903 |
Teaching Methods and Materials for Mathematics |
A comprehensive study of the following topics: mathematics education, arithmetic education,mathematical structure, algebra education, geometry, and linear algebra based on class instruction. |
4 |
1 |
2 |
| 25E905 |
Logics and Writing of Mathematics |
This course discusses mathematical logic and representation of certoin mathematical structues. |
4 |
2 |
2 |
