For more details on the courses, please refer to the Course Catalog
Code | Course Title | Credit | Learning Time | Division | Degree | Grade | Note | Language | Availability |
---|---|---|---|---|---|---|---|---|---|
MAE2009 | Elementary Number Theory | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
Binomial theorem, division algorithm, greatest common divisor, Euclidean algorithm, Diophantine equation, fundamental theorem of arithmetic, sieve of Eratosthenes, theory of congruences, Fermat's theorem, number theoretic function, Euler's generalization of Fermat's theorem, quadratic reciprocity law. | |||||||||
MAE2010 | Ordinary Differential Equations | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
In this course, we study some techinques for exact solutions and numerical solutions for various ordinary differential equations. | |||||||||
MAE2018 | Mathematical Modeling | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
Students learn how to make mathematical models from real life contexts, and how to apply them in teaching secondary school mathematics. | |||||||||
MAE2020 | Study on School Mathematics | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
In this subject, we study the contents, instructional methods, and assessment of mathematics that can be treated for secondary school students, and then we study based contents, advanced contents and the historical backgrounds of the mathematics. | |||||||||
MAE2021 | Introduction to Applied Mathematics | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
In this course, we study an introduction to applied mathematics. Topics include applied problems (in natural science, engineering, and social science such as economics), approximate problems relative to calculus, Laplace transformation, Fourier transformation, and vector analysis. Also, we introduce special functions and general Fourier series. | |||||||||
MAE2022 | Vector Calculus | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
This course will cover : vectors and vector fields, vector-valued functions of one or two variables, line and surface integrals, Green's theorem, Stokes theorem, and divergence theorem. | |||||||||
MAE2026 | Matrix Theory | 3 | 6 | Major | Bachelor | 2-3 | Korean | Yes | |
In this course, we study the theory of matrix, which is used in engineering and science, classify matrices, according to its characteristics, and study their properties. Moreover, the numerical methods, which is necessary to matrix computations, are introduced to solve efficiently applied problems arising in real life by using computer. | |||||||||
MAE2028 | Analytic, Synthetic Geometry | 3 | 6 | Major | Bachelor | 2-3 | - | No | |
In this course, we study Euclidean geometry and Hilbert's axioms, important theorems of Euclidean geometry, geometrical transformations. We introduce non-Euclidean geometry hyperbolic and elliptic, projective geometry with Polyhedra, conics, spherical triangles. | |||||||||
MAE2031 | Introduction to mathematical computing | 3 | 6 | Major | Bachelor | 2 | Korean | Yes | |
This course is an introductory subject aimed at students with basic knowledge of calculus and programming. It focuses on acquiring and practicing practical methods for solving theoretical mathematical problems using computer-based solutions. Initially, it addresses methods for finding approximate solutions to basic equations, calculus, and matrix algebra problems. The course also involves introducing simulation methods based on random number generation for handling probabilistic phenomena, followed by an introduction to techniques essential for exploring and interpreting real-world data. | |||||||||
MAE3001 | Complex Analysis I | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
This course will cover half of standard topics on functions of one complex variable. The main contents are complex number system, elementary functions and their mapping properties, analytic functions, contour integration, Cauchy's theorem and its applications. | |||||||||
MAE3002 | Differential Geometry I | 3 | 6 | Major | Bachelor | 3-4 | English | Yes | |
Euclidean space, tangent vectors, directional derivatives, differential forms, curves, the Frenet formulas, covariant derivatives, frame field, connection forms, the structural equations, isometries of E(3), congruence of curves, surfaces, patch computations, differential forms on a surface, integration of forms, topological properties of surfaces. | |||||||||
MAE3003 | Topology I | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
Topological spaces, basic terminologies and properties, sum of spaces, product of spaces, quotient spaces, seperation axiom, compactness, connectedness. | |||||||||
MAE3004 | Abstract Algebra I | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
Group, subgroup, cyclic group, permutation group, coset, normal subgroup, quotient group, direct product, homomorphism, isomorphism. | |||||||||
MAE3005 | Probability and Statistics I | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
This course will cover the followings : 1. Distributions of random variables, conditional probability 2. Some special distributions (binomial distribution, multinomial distribution, Poisson distribution, Gamma distribution, Chi-square distribution, Normal distribution) 3. Central limits theorem. | |||||||||
MAE3006 | Complex Analysis Ⅱ | 3 | 6 | Major | Bachelor | 3-4 | Korean | Yes | |
This course will be a continuation of complex analysis I. Laurent series, Residue theorem, conformal mapping and its application to harmonic functions will be studied. |