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In case of having discrepancy with the Chinese version the latter shall prevail. In other words, the version as demonstrated here is for sole purpose of having a reference only. Whenever any concern may arise, please contact the Department office for an official version of the regulations.
Master's Program Regulations
Revised: March 2011, April 2012, May, September, November 2015, October 2017,
April 2018, March 2019, March 2020, March 2021, March 2022, April 2023
- Eligibility and Group Allocation: Admissions to the master's program follow the university’s relevant admission regulations. The program is divided into "Analysis and Geometry" and "Combinatorial Mathematics" groups. Students cannot change groups within the first year of admission. To change groups, students must complete six credits of mandatory courses from the original group (three credits per semester) and apply during the second semester of the first academic year, subject to approval by the Curriculum Committee.
- Thesis Advisor Selection: Master's students must select a thesis advisor before the second semester begins, approved by the Curriculum Committee to continue registration. The advisor should ideally be a faculty member from this department. If an external advisor is needed, a department faculty member must co-advise, with assistance from the department head if necessary. To change advisors, students must submit a written application to the department, effective upon completion of the application process. Advisors wishing to terminate their advising relationship must submit a written request to the department, which will notify the student. The department will assist in finding a new advisor if needed. Research results obtained under the original advisor’s guidance can only be used for the thesis with the advisor's consent.
- Duration of Study: The study period for master's students is one to four years, and for part-time students, two to five years. Students must complete 24 credits. Full-time study is required for regular students, while part-time students may reduce on-campus time with the consent of the advisor and department head, but it must be at least half-time. Additionally, students must serve as teaching assistants for at least two semesters for courses offered by the department (including Calculus). If unable to serve due to special reasons, the advisor may apply for exemption from the Curriculum Committee.
- Course Credit Exemption: Credits from graduate courses taken before admission, not counted towards undergraduate graduation credits, may be exempted. The number of exempted credits is determined by the Curriculum Committee, with a maximum of six credits for courses not taught by departmental faculty.
- Degree Examination Application: Master's students may apply for the degree examination upon completing required courses and the thesis and passing the academic research ethics education test. Students must complete a "thesis originality comparison" for the examination committee’s reference. The committee is composed of three to five members (including the advisor), with at least one-third being external members, approved by the Curriculum Committee and appointed by the university president.
- Degree Conferral: Students who pass the degree examination and complete the thesis must submit the final revised thesis along with a thesis originality comparison report confirmed by the advisor. They will then be awarded the master’s degree according to regulations. Students who fail but are still within their study period may retake the exam once. A second failure results in dismissal.
- Direct Entry to Doctoral Program: Master's students wishing to enter the doctoral program directly must apply during the doctoral entrance examination registration period and take the same exams as other candidates. Upon passing, they must follow the university’s application procedures.
- Transfer from Doctoral to Master's Program: Students transferring back to the master's program from the doctoral program will be subject to review and approval by the Curriculum Committee and the university.
- Course Requirements: a. Common Required Courses: Colloquium (two semesters) and complete the academic research ethics education course by the end of the first semester. b. Individual Required Courses: - Analysis and Geometry Group: Real Analysis I (3 credits), and one of the following courses (3 credits): Real Analysis II, Ordinary Differential Equations I, Ordinary Differential Equations II, Partial Differential Equations I, Partial Differential Equations II, Modern Algebra I, Modern Algebra II, Advanced Probability Theory. - Combinatorial Mathematics Group: Topics in Discrete Mathematics (one semester), Graph Theory (3 credits), Introduction to Combinatorics (3 credits), Algebra II (3 credits).
- Submission of Degree Examination Results: After passing the degree examination, students must submit the "Degree Examination Score Sheet" to the Registration Office in the same semester of the examination. The deadline is January 31 for the first semester and July 31 for the second semester. Graduates must submit the score sheet, a hard copy of the thesis, a thesis originality comparison report, a thesis academic ethics and originality statement, and upload the thesis abstract and full text online. After completing the graduation procedures, the Registration Office will issue the degree certificate. The deadline for submitting the hard copy of the thesis is the last working day before the start of the next semester after the degree examination. Students who fail to submit the thesis on time and are not at the end of their study period must register for the next semester. If the study period has ended, failure to submit the score sheet or thesis on time will result in dismissal.
- Transfer Students from Other Departments: Transfer of graduate students from other departments follows the university's transfer regulations.
- Other Matters: Unaddressed issues follow the Degree Conferral Law and the university’s regulations for the conferral of graduate degrees.
- Implementation and Amendments: These regulations are formulated by the department’s Curriculum Committee, reviewed by the college and university curriculum committees, and implemented after approval by the Academic Affairs Meeting. Amendments follow the same process.
- The Master degree course regulations in the department are as follows:
- Any regulations or rules not being indicated above shall be processed according to related rules which pertain to the degree-awarding law, and the University Master and Ph.D. degree-awarding policy.
- The regulations as demonstrated here are prepared by the Department curriculum committee. These regulations have been effective immediately after they were reviewed successively by the college curriculum committee and the University curriculum committee, and approved during the academic affair meeting. Any future revision(s) of this guideline shall follow the same procedure.
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Common Requirement: passing the “Colloquium” at least twice
Individual Requirements:
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“Analysis and Geometry” program: passing the course “Real Analysis (I)” which is of 3credits; another 3credits has to be taken and completed from one amount the following list of courses: “Real Analysis (II)”、Ordinary Differential Equations(I) 、Ordinary Differential Equations(II) 、Partial Differential Equations(I) 、Partial Differential Equations(II)、Modern Algebra(I) 、Modern Algebra(II) 、Advanced Probability.
“Combinatorics” program: passing the course “Topics in Discrete Mathematics” at least twice; passing the course “Graph Theory” which is of 3 credits; passing the course “Introduction to Combinatorics” which is of 3 credits
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- The admission qualifications for the master's program are handled according to the relevant admission regulations of the university. Graduate students must select their advisor before the start of the second semester after admission and must continue their registration after the advisor is approved by the Curriculum Committee. Advisors should be faculty members from the department or be joint co-advisers from other departments (including other schools) and the department's faculty, with assistance from the class director if necessary. If a graduate student wishes to change their thesis advisor during their study period, they must submit a written application to the department, and it will take effect after completing the relevant procedures. If an advisor wishes to terminate the advising relationship, they must submit a written application to the department, and the department will notify the student of the review result. After the termination of the advising relationship, the department will assist the student in finding another advisor. Research results obtained under the original advisor's guidance and based on their original ideas or concepts can only be used for the degree thesis with the original advisor's consent.
- The study period for graduate students is 1 to 4 years, and for in-service students, it is 2 to 5 years. Students must complete 24 credits. General students should be full-time, while in-service students may have their study time reduced with the agreement of their thesis advisor and class director, but it should not be less than half of the full-time requirement. Additionally, during the study period, students must serve as teaching assistants for courses offered by the department (including calculus) for at least two semesters. If there are special reasons preventing a student from serving as a teaching assistant, an exemption can be applied for by the thesis advisor to the Curriculum Committee.
- Credits from graduate-level courses taken before admission that are not counted towards the undergraduate graduation credit requirements may be considered for credit transfer. The number of transferable credits is determined by the Curriculum Committee, but courses not taught by full-time faculty members of the department may not exceed 6 credits.
- Graduate students who have completed the required courses and master's thesis and passed the final academic research ethics education test may apply for the master's degree examination. Students taking the degree examination must complete the "Thesis Originality Comparison" for reference by the examination committee. The master's degree examination committee members are recommended by the thesis advisor and must include 3 to 5 members with qualifications of assistant professors or higher, or assistant research fellows at Academia Sinica, with at least one-third being external members from other departments or schools. The committee members are approved by the Curriculum Committee and appointed by the university president.
- Graduate students who pass the master's degree examination and complete the master's thesis must submit the revised thesis with the originality comparison report confirmed by the advisor to apply for the award of a master's degree. Those who fail the degree examination and have not exceeded the maximum study period may retake the examination before the end of the study period, with only one retake allowed. Students who fail the retake will be dismissed.
- Master's students who wish to be directly admitted to the Ph.D. program in Applied Mathematics must apply to the department during the Ph.D. program admission exam registration period and participate in the same exam items (document review, oral exam, written exam) as other candidates. Upon passing, they must apply to the university following the procedure.
- Students directly admitted to the Ph.D. program in Applied Mathematics may transfer back to the master's program upon review and approval by the Curriculum Committee and the university.
- Course Requirements: a. Required courses: Introduction to Scientific Computing (3 credits), Methods of Applied Mathematics (3 credits), and passing two semesters of Colloquium and completing the academic research ethics education course by the end of the first semester. b. Additionally, students must select one 3-credit graduate course from the department and two interdisciplinary courses totaling 6 credits. Students must complete a course recognition form signed by the class director or advisor before the course credits are recognized.
- After passing the degree examination, students must submit the "Degree Examination Score Sheet" to the Registration Division during the exam semester. For the first semester, it must be submitted by January 31; for the second semester, by July 31. Graduate students who pass the degree examination must submit the Degree Examination Score Sheet, a hard copy of the thesis, the originality comparison report of the thesis, the Statement of Academic Ethics and Originality Comparison, upload the thesis abstract and full text electronically, and complete the graduation clearance procedure before the Registration Division can issue the degree certificate. The deadline for submitting the hard copy of the thesis is the last working day before the start of the next semester's classes after the degree examination. Students who fail to submit the hard copy of the thesis on time and have not exceeded the study period must register for the next semester. If the study period is exceeded and the "Degree Examination Score Sheet" is not submitted by the end of the period or the hard copy of the thesis is not submitted by the last working day before the start of the next semester's classes, the student will be dismissed.
- Applications from graduate students of other departments for transfer to the master's program in this department are handled according to the university's regulations for department transfer.
- Matters not covered by these regulations shall be handled according to the Degree Conferral Act and the university's graduate degree conferral regulations.
- These regulations are established by the department's Curriculum Committee and implemented after review and approval by the college and university Curriculum Committees and the Academic Affairs Meeting. Amendments follow the same procedure.