NCKU Curriculum Map
1. 2.
3.
Applied Mathematics    [Course Catalog of this Semester]
Goal   
  • To train professional mathematicians working on research and applications of mathematics.
  • Principle Literacy and Competence   
    [Competence]
  • Ability to handle continuity phenomena and approximations.
  • Ability to operate with symbols and digits.
  • Ability to visualize space, shape, and images.
  • Ability of computer to do mathematics.
  • Ability to apply stochastic mathematics.
  • Ability to handle large amount of data.
  • Ability to do mathematics relating to discrete models.
  • Ability to do independent researches and to write thesis.
  • Abilities to use computer as a tool.
  • Course Classification
    Course Classification Course Name
    A. School common required course
    B. General education courses
    C. Faculty core courses
    D. Department/Institute core courses
    E. Interdisciplinary courses
    F. Incorporating Service-Learning into the course
    G. Analysis
    [MATH5806]MATHEMATICAL STRUCTURE OF ELECTRO-MAGNETIC FIELD THEORY, [MATH5811]LINEAR ALGEBRA IN DATA SCIENCE, [MATH6002]GENERAL ANALYSIS (1), [MATH6008]PARTIAL DIFFERENTIAL EQUATIONS(1), [MATH6101]GENERAL ANALYSIS (2), [MATH6102]FUNCTIONAL ANALYSIS(1), [MATH6103]PARTIAL DIFFERENTIAL EQUATIONS(2), [MATH6104]INTEGRAL EQUATION, [MATH6105]MATHEMATICAL THEORY FOR KINETIC EQUATIONS, [MATH6106]KINETIC EQUATIONS AND RELATED TOPICS, [MATH6302]GEOMETRY AND APPLICATIONS, [MATH6405]MULTISCALE ANALYSIS OF RANDOM PROCESSES, [MATH7503]OPTIMIZATION AND MATHEMATICAL MODELING, [MATH8005]SEMINAR ON ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, [MATH8011]SEMINAR ON HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION, [MATH8012]SEMINAR ON ELLIPTIC SYSTEM, [MATH8017]SEMINAR ON ANALYSIS, [MATH8018]SEMINAR ON EQUATION, [MATH8019]SEMINAR ON PARTIAL DIFFERENTIAL EQUATIONS
    H. Algebra
    [MATH6003]GENERAL ALGEBRA (1), [MATH6005]ADVANCED LINEAR ALGEBRA, [MATH6201]GENERAL ALGEBRA (2), [MATH6202]NUMBER THEORY(1), [MATH6203]NUMBER THEORY(2), [MATH6204]FINITE FIELDS, [MATH6205]ALGEBRAIC CODING THEORY, [MATH6206]CRYPTOGRAPHY, [MATH6207]FINITE FIELDS, [MATH6208]NEAR_RING THEORY(1), [MATH6302]GEOMETRY AND APPLICATIONS, [MATH7201]RING THEORY, [MATH7202]REPRESENTATION THEORY, [MATH7203]HOMOLOGICAL ALGEBRA, [MATH7204]LIE GROUPS AND LIE ALGEBRAS(1), [MATH7205]LIE GROUPS AND LIE ALGEBRAS(2), [MATH7206]COMMUTATIVE ALGEBRA(1), [MATH7207]COMMUTATIVE ALGEBRA(2), [MATH7208]QUANTUM GROUP, [MATH7305]ALGEBRAIC GEOMETRY(2), [MATH7306]ALGEBRAIC GEOMETRY(1), [MATH7503]OPTIMIZATION AND MATHEMATICAL MODELING, [MATH8002]SEMINAR ON LIE SUPERALGEBRA, [MATH8006]SEMINAR ON NUMBER THEORY, [MATH8007]SEMINAR ON REPRESENTATION THEORY, [MATH8009]ALGEBRA DISCUSSION, [MATH8010]SEMINAR ON ALGEBRAIC GEOMETRY, [MATH8013]SEMINAR ON ALGEBRAIC GEOMETRY, [MATH8014]SEMINAR ON ALGEBRA AND ITS APPLICATION, [MATH8015]SEMINAR ON ALGEBRAIC COMBINATORICS
    I. Geometry
    [MATH6006]INTRODUCTION TO DIFFERENTIAL GEOMETRY, [MATH6301]INTRODUCTION TO ALGEBRAIC TOPOLOGY, [MATH6302]GEOMETRY AND APPLICATIONS, [MATH6303]INTRODUCTION TO DIFFERENTIAL GEOMETRY(2), [MATH6304]ALGEBRAIC CURVES, [MATH7208]QUANTUM GROUP, [MATH7301]RIEMANNIAN GEOMETRY, [MATH7302]SYMPLECTIC GEOMETRY, [MATH7303]HYPERBOLIC GEOMETRY, [MATH7304]ALGEBRAIC GEOMETRY, [MATH7305]ALGEBRAIC GEOMETRY(2), [MATH7306]ALGEBRAIC GEOMETRY(1), [MATH7307]MORSE THEORY, [MATH8001]SEMINAR ON SYMPLECTIC GEOMETRY, [MATH8008]SEMINAR ON GEOMETRY & TOPOLOGY, [MATH8010]SEMINAR ON ALGEBRAIC GEOMETRY, [MATH8013]SEMINAR ON ALGEBRAIC GEOMETRY
    J. Probability & Statistics
    [MATH6001]PROBABILITY(1), [MATH6302]GEOMETRY AND APPLICATIONS, [MATH6401]STOCHASTIC PROCESSES, [MATH6402]MATHEMATICAL STATISTICS, [MATH6403]LINEAR MODEL, [MATH6404]CATEGORICAL DATA ANALYSIS, [MATH6405]MULTISCALE ANALYSIS OF RANDOM PROCESSES
    K. Computational & Applied Mathematics
    [MATH5800]NUMERICAL ANALYSIS(1), [MATH5802]FAST COMPUTAIONAL METHOD, [MATH5804]THEORY OF OPTIMIZATION, [MATH5806]MATHEMATICAL STRUCTURE OF ELECTRO-MAGNETIC FIELD THEORY, [MATH5807]APPLIED MATHEMATICS I, [MATH5808]MATHEMATICAL METHODS OF CLASSICAL MECHANICS, [MATH5809]HIGH PERFORMANCE SCIENTIFIC COMPUTING, [MATH5811]LINEAR ALGEBRA IN DATA SCIENCE, [MATH6501]NUMERICAL ANALYSIS FOR PARTICAL DIFFERENTIAL EQUATIONS(1), [MATH6502]NUMERICAL ANALYSIS FOR PARTICAL DIFFERENTIAL EQUATIONS(2), [MATH6504]SCIENTIFIC COMPUTING, [MATH6505]OPERATIONS RESEARCH, [MATH6507]COMPUTATIONAL COMPLEXITY, [MATH6508]INTRODUCTION TO APPLIED MATHEMATICS, [MATH6509]DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS, [MATH6510]INTRODUCTION TO FINANCIAL MATHEMATICS(1), [MATH6511]BOUNDARY ELEMENT METHOD, [MATH6512]APPLIED MATHEMATICS II, [MATH7501]NUMERICAL LINEAR ALGEBRA, [MATH7502]NUMERICAL METHODS FOR LINEAR CONTROL SYSTEMS, [MATH7503]OPTIMIZATION AND MATHEMATICAL MODELING, [MATH7504]CONVEX PROGRAMMING WITH APPLICATIONS, [MATH7505]LARGE-SCALE EIGENVALUE PROBLEM, [MATH8003]SEMINAR ON INTERFACE PROBLEMS, [MATH8004]SEMINAR ON NUMERICAL SOLUTION OF LARGE SCALE ALGEBRAIC MATRIX EQUATIONS, [MATH8016]SEMINAR ON FAST COMPUTATIONAL METHOD
    M. Seminar
    [MATH6007]SEMINAR, [MATH6009]SEMINAR(1), [MATH6010]SEMINAR(2), [MATH6011]SEMINAR(3), [MATH6012]SEMINAR(4), [MATH6013]SEMINAR (2), [MATH6014]SEMINAR (4), [MATH6015]SEMINAR (1), [MATH6016]SEMINAR (3), [MATH8001]SEMINAR ON SYMPLECTIC GEOMETRY, [MATH8002]SEMINAR ON LIE SUPERALGEBRA, [MATH8003]SEMINAR ON INTERFACE PROBLEMS, [MATH8004]SEMINAR ON NUMERICAL SOLUTION OF LARGE SCALE ALGEBRAIC MATRIX EQUATIONS, [MATH8005]SEMINAR ON ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS, [MATH8006]SEMINAR ON NUMBER THEORY, [MATH8007]SEMINAR ON REPRESENTATION THEORY, [MATH8008]SEMINAR ON GEOMETRY & TOPOLOGY, [MATH8009]ALGEBRA DISCUSSION, [MATH8010]SEMINAR ON ALGEBRAIC GEOMETRY, [MATH8011]SEMINAR ON HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION, [MATH8012]SEMINAR ON ELLIPTIC SYSTEM, [MATH8013]SEMINAR ON ALGEBRAIC GEOMETRY, [MATH8014]SEMINAR ON ALGEBRA AND ITS APPLICATION, [MATH8015]SEMINAR ON ALGEBRAIC COMBINATORICS, [MATH8016]SEMINAR ON FAST COMPUTATIONAL METHOD, [MATH8017]SEMINAR ON ANALYSIS, [MATH8018]SEMINAR ON EQUATION, [MATH8019]SEMINAR ON PARTIAL DIFFERENTIAL EQUATIONS, [MATH8500]SEMINAR ON MATHEMATICAL TRAINING(1), [MATH8501]SEMINAR ON MATHEMATICAL TRAINING(2)
    Development