POSTECH Math

Department of Mathematics, POSTECH

1. Education Aim

As the natural science and frontier engineering have developed rapidly, the research area of the modern mathematics has been expanded widely. The education of the department of mathematics takes aim at cultivating people with deep knowledge of mathematics, with which they can contribute to the development of the theories of mathematical sciences, the frontier technologies of sciences and engineering and also to the human society.

2. Integrated Program for Ph. D. Program

To graduate with Ph.D.

This program is designed for students whose final goal is to earn a Doctor's Degree in Mathematics. To be qualified as a candidate for Ph.D., a student must satisfy the following requirements:

(1) To Pass Qualification Exam (QE).

(2) Your candidacy must be approved by the departmental committee.

Once qualified, a student shall start working on his/her Ph.D. dissertation under the guidance of an academic advisor.

After the dissertation is completed, a student may request his/her dissertation to be reviewed if the student can submit evidence(s) to show that all or part of his/her thesis has been pre-approved for publication or is published by a professional journal recognized by the University. Then the student's thesis will be reviewed in accordance to the University's regulations on conferring of degrees. Once the student passes the review, he/she will go through several minor administrative processes for Doctor's Degree Conferment.

To graduate with MS

If a student in a integrated degree program want to graduate with a master's degree, he/she must first submit a Petition for Withdrawal application from the Integrated Degree Program to the Department of Mathematics and satisfy the following MS program requirements to graduate with a Masters degree:

- To Earn at least 28 credits

- To Submit a master's Thesis

Please note, however, at least 18 credits of the earned credits must come from the lecture courses and the rest can be earned through other regular courses and/or from independent studies toward preparation of the student's thesis. Also, a student must take at least one 500~600 level course from three different course streams of his/her choice (course stream is explained in passages). Besides the credit requirement mentioned above, a student must also satisfy the followings to graduate with a master's degree: Choose an academic advisor by the announced due date, complete thesis under the guidance of the advisor, and submit the thesis for review. Once the student passes the review, he/she will go through several minor administrative processes for Master's degree conferment.

3. Course Classification

The graduate program offers courses on three different levels: namely 500-, 600- and 700- level courses. The 500 level courses are the basic introductory graduate courses and the 600 level courses are mostly comprised of advanced courses. Lastly, the 700 level courses are seminar/independent studies in specific research areas. Thus, students are encouraged to choose 500 level courses according to their academic/career plans. When choosing 600 and 700 level courses, however, students are strongly advised to consult their academic advisors beforehand. The Mathematics graduate program categorizes the 500- and 600- level courses into the following six streams. Students are required to take at least one course each from three different streams of their choice.

Stream 1 : Algebra, Number Theory, Algebraic Geometry and related courses

(501, 502, 503, 504, 505, 506, 507, 508, 509, 603, 604, 606, 608)

Stream 2 : Real Analysis, Complex Analysis, Partial Differential Equations and

related courses.

(510, 514, 515, 517, 519, 545, 612, 616, 617, 619, 647)

Stream 3 : Topology, Geometry and related courses

(520, 523, 524, 621, 622, 623, 624, 625)

Stream 4 : Numerical Analysis and Applied Mathematics

(541, 542, 551, 640, 641, 643, 645, 647, 651, 652)

Stream 5 : Probability, Mathematical Statistics, Financial Mathematics and related

subjects (530, 531, 533, 537)

Stream 6 : Cryptology, Coding Theory, Combinatorics and related subjects

(560, 561, 562, 565, 567, 661, 662)

4. Course List

  • MATH 501 Algebra I
  • MATH 502 Algebra II
  • MATH 503 Commutative Algebra
  • MATH 504 Commutative Ring Theory
  • MATH 505 Algebraic Number Theory
  • MATH 506 Analytic Number Theory
  • MATH 507 Additive Number Theory
  • MATH 508 Introduction to algebraic geometry
  • MATH 509 Finite Group Theory
  • MATH 510 Complex Analysis
  • MATH 514 Real Analysis I
  • MATH 515 Real Analysis II
  • MATH 517 Partial Differential Equations
  • MATH 519 Functional Analysis
  • MATH 520 Differentiable Manifolds and Lie Groups
  • MATH 523 Introduction to Differential Topology
  • MATH 524 Introduction to Algebraic Topology
  • MATH 530 Mathematical Statistics
  • MATH 531 Probability Theory
  • MATH 533 Regression Analysis
  • MATH 537 Stochastic Calculus & Financial Mathematics
  • MATH 541 Methods of Applied Mathematics I
  • MATH 542 Methods of Applied Mathematics II
  • MATH 545 Calculus of Variations
  • MATH 551 Advanced Numerical Analysis
  • MATH 560 Applied Geometry for Computer Graphics and Vision
  • MATH 561 Combinatorics I
  • MATH 562 Combinatorics II
  • MATH 565 Coding Theory
  • MATH 567 Algebraic Cryptology
  • MATH570/EECE508 Discreate and Computational Geometry
  • MATH 603 Algebraic Geometry
  • MATH 604 Elliptic Curves
  • MATH 606 Automorphic Forms
  • MATH 608 Homological Algebra
  • MATH 612 Several Complex Variables
  • MATH 616 Fourier Analysis
  • MATH 617 Harmonic Analysis
  • MATH 619 Theory of Banach spaces
  • MATH 621 Differential Geometry
  • MATH 622 Complex Manifolds
  • MATH 623 Differential Topology
  • MATH 624 Algebraic Topology
  • MATH 625 Lie Groups and their Representation
  • MATH 641 Eigenvalue and Boundary Value Problems
  • MATH 645 Mathematical Fluid Dynamics
  • MATH 647 Nonlinear Partial Differential Equations
  • MATH 651 Advanced Numerical Analysis
  • MATH 652 Numerical Analysis of PDE
  • MATH 661 Algebraic Graph Theory
  • MATH 662 Topological Graph Theory
  • MATH 699 Master Thesis Research
  • MATH 709~789 Topics I, II, II
  • MATH 709 Topics in Algebra
  • MATH 719 Topics in Analysis
  • MATH 729 Topics in Geometry
  • MATH 739 Topics in Statistics
  • MATH 749 Topics in Applied Mathematics
  • MATH 759 Topics in Computational Mathematics
  • MATH 761 Topics in Combinatorics
  • MATH 762 Topics in Graph Theory
  • MATH 768 Topics in Coding Theory
  • MATH 779 Topics in Numerical Analysis
  • MATH 789 Topics in Topology
  • MATH 798 Applied Mathematics Seminar
  • MATH 799 Seminar
  • MATH 899 Doctoral Dissertation Research