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Mathematics Education

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
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.