Master’s Program

Article 1  This Regulation is provided in accordance with the “National Central University Study Regulations” and “National Central University Rules Governing the Master’s and Doctoral Degree Qualifying Exam and Thesis Defense”.

Article 2  The Master’s Program is divided into two groups: Pure Mathematics and Applied Mathematics. Master’s students who admitted into Pure Mathematics (Applied Mathematics) can transfer to Applied Mathematics (Pure Mathematics) as long as they fulfill the graduation requirements.

Article 3  Master’s students are expected to complete their course of study in one-to-four academic years.

Students enrolled in professional-development programs who fail to complete their required courses or finish their graduation thesis within the designated period of time may file for a one-year extension of their period of study.

Article 4  Course regulations for Master’s Program

1. I.In order to qualify for graduation, master’s students are expected to earn at least 24 credit hours during their course of study.
2. II.Course Requirements are as follows.
   1. (A)Basic courses include Real Analysis, Algebra, Differential Geometry, Differential Equations, Theory of Statistical Inference or Probability Theory, Graph Theory and Numerical Analysis. These are all one-year courses. In principle, the basic courses are offered at least once every two years, Real Analysis and Algebra should be offered every year.
   2. (B)Advanced courses include Functional Analysis, Algebraic Geometry or Representation Theory or Number Theory, Algebraic Topology, Partial Differential Equations, Discrete Math, Theory of Stochastic Processes and Finite Element Methods.
   3. (C)Core courses for Applied Mathematics in 5 categories:
      Differential EquationsDifferential Equations I, Differential Equations II

      Numerical AnalysisNumerical Analysis I, Numerical Analysis II

      Discrete MathGraph Theory I, Graph Theory II

      Probability and StatisticsTheory of Statistical Inference I, Theory of Statistical Inference II, Probability Theory I, Probability Theory II

      ProgrammingComputer Programming and Application
3. III.Master’s students admitted into Pure Mathematics must complete at least 15 credits in Basic and Advanced courses. Among these credits, there must be at least 12 credits from Basic courses, and they must include at least one one-year course. Also, students must take either Real Analysis or Algebra for at least one semester, with a passing grade.
4. IV.Master’s students admitted into Applied Mathematics must complete at least 15 credits which course numbers start with MA5, MA6, MA7 or MA8. Seminar courses are not included in these 15 credits. Among these credits, there must be at least 9 credits from two categories of core courses for Applied Mathematics.
5. V.Master’s students admitted into Applied Mathematics who want to take courses which course numbers are not start with MA must obtain the consent of their thesis advisors.

Article 5  Master’s students must file an application signed by the chairperson for their thesis advisors before their second academic year. If a student applies for thesis advisors more than once, then the last application signed by the chairperson will be in effect.

Article 6  Thesis examination is handled in accordance with the “National Central University Rules Governing the Master’s and Doctoral Degree Qualifying Exam and Thesis Defense”.

Article 7  This Regulation is applicable to Master’s Students who enrolled after the 105 academic year. Any matter not mentioned above shall be acted on in accordance with the regulations of the Ministry of Education and the university.

Article 8  This Regulation has been passed by the Departmental Affairs Council and has been verified through the Academic Conference; the modification procedure is the same as well.