Undergraduate Program

Bachelor program in Department of Mathematics

Minimum Credits of Courses 128 credits

Required/elective courses for the department: To graduate from the Department of Mathematics, students must complete 55 required credits in mathematics, 12 elective credits, 31 general elective credits and 6 required credits in basic science courses. (Double major students only need to complete the 55 required credits and are not required to take the department's elective courses or the 6 credits in basic science courses.)

Required Courses

55 credits

  • Calculus (5 + 5)
  • Linear Algebra (4 + 4)
  • Introduction to Analysis (5 + 5) / Analysis (5 + 5)
  • Introduction to Algebra (4 + 4) / Algebra (5 + 5)

For the following courses, choose any 5 out of the 7 courses:

  • Introduction to Ordinary Differential Equations (4)
  • Introduction to Partial Differential Equations (4)
  • Introduction to Geometry (4) / Geometry (4)
  • Introduction to Complex Analysis (4) / Complex Analysis (4)
  • Computer Programming (3) (can be replaced by Computer Programming (901 10210, 3 credits))
  • Introduction to Computational Mathematics (4)
  • Introduction to Probability (4)

The Department of Mathematics has designated the following courses as substitutes for the required course "Computer Programming," allowing students option to take courses in computer science, electrical engineering, and other departments to solve schedule conflicts:

  • CSIE 1210 Computer Programming (3 credits)
  • BA 1009 Programming (3 credits)
  • CSIE 1212 Data Structures and Algorithms (3 credits)
  • CIE 1008 Computer Programming (3 credits)
  • ChemE 1004 Computer Programming (3 credits)
Departmental Elective Courses

12 credits

Students can choose elective courses offered by the Department of Mathematics (excluding Calculus 1234, Microeconomics, Macroeconomics, and Seminar I, II, III, IV) or select courses from departments such as Physics, Computer Science, Economics, and Finance, as well as courses starting with NCTS (Elective course list).

Basic Science Courses

6 credits

Students must complete at least 6 credits from the following basic science subjects, and additional credits from elective courses and laboratory courses can be counted as general electives.

  • General Physics A (Part I) (Part II)
  • General Chemistry A (Part I) (Part II)
  • General Biology A (Part I) (Part II)
  • Principles of Microeconomics and Practice 303 10110 Four Credits / Principles of Macroeconomics and Practice 303 10120 Four Credits
University-required Courses Common required courses 9 or 12 credits
  • College Chinese (3/3), "Foreign Language" (3/3). The foreign language course can be chosen from English or Japanese courses offered by the College of Science without restriction on the time slot (but the same language must be taken in both semesters). College Chinese I/II can be chosen, and if both are taken, three credits can be used to replace A1-A4 General Education requirements.
  • General Education courses (15 or 12 credits): General Education courses are divided into 8 fields. Students must take courses from at least three of the following fields: A1, A2, A3, A4, A5, A8 (there are no restrictions on the remaining fields once the minimum requirement is met, courses from A1 to A8 are all acceptable). After completing the General Education requirements, additional General Education credits can be counted as general electives.
    • A1 Literature and Art
    • A2 Historical Perspectives
    • A3 World Civilizations
    • A4 Philosophical and Moral Reasoning
    • A5 Civic Consciousness and Social Analysis
    • A6 Quantitative Analysis and Mathematical Literacy
    • A7 Physical Science
    • A8 Life Science
  • As mentioned earlier, three credits from College Chinese (Full semester) can be used to replace three credits in A1-A4 General Education requirements. Therefore, students have two options:
    • (i) Take College Chinese I or II (3 credits) + General Education (15 credits)
    • (ii) Take College Chinese (Full) (6 credits) + General Education (12 credits)
  • Service Learning A and B: Students need to take two of these courses
  • Physical Education (mandatory 4 credits): Although Physical Education is mandatory, the credits are not counted towards the total graduation credits.
General Electives

 31 credits

In addition to regular departmental courses, credits from various programs and double major programs at National Taiwan University can be counted. 

However, credits from the Education Program, minors, Calculus 1234, and Microeconomics cannot be counted.

 

Bachelor's Honors program

Mathematics students may have different plans and preparations for their future. To support students with a strong ambition for mathematics research or applications, and to help them effectively learn and achieve the breadth and depth of mathematics required for pursuing a Ph.D., while enhancing their future international competitiveness, the department has specially established an "Honors Program" for students aspiring to further their studies.

Application
  1. Students in their sophomore year or above (including double majors) who have taken Analysis I & II and Algebra I & II, and have a GPA of 3.3 or above in both subjects, can apply before September 30th of each academic year. Upon approval by the committee, they can enter the program.
  2. Other students with outstanding achievements who do not meet the above requirements may prepare relevant materials before April of each academic year. After obtaining a teacher’s recommendation and committee approval, they may join the program.
Required Courses and Total Credits
  1. Students entering the program will be assigned a temporary advisor from the committee members. During the first semester of their junior year, students must obtain an A+ grade in one honors program course, one elective course, or one self-study course. They should find a thesis advisor before the start of the second semester of their junior year, who will guide their subsequent course planning and research project.
  2. The committee and the student's advisor will set specific reading and learning goals. Students must take a bachelor's thesis research course. The advisor will plan the student's elective courses, totaling 12 credits per semester, based on the learning goals. If there are no suitable courses, the learning goals can be designated as self-study.
  3. Complete at least 31 credits of honors program courses (including 2 credits for the bachelor's thesis research and 1 credit for the bachelor's thesis) and at least 4 credits of elective courses designated by the advisor.
Review
  1. Before graduation, students must proactively submit a transcript, a report on the completion of their learning goals, and their bachelor's thesis to the department for review. If approved by the department and the Academic Affairs Office, the "Bachelor's Honors Program" will be noted on their degree certificate, transcript, and relevant documents.
  2. The standards for passing the honors program are as follows:
  • Completion of the learning goals and at least 31 credits of honors program courses, as well as at least 4 credits of elective courses designated by the advisor. If necessary, the committee may conduct a written or oral examination for review.
  • Achieving a score of 90 or above on an international language proficiency test such as TOEFL, or meeting the standard in one of the languages: Japanese, French, or German.
  • Approval of the bachelor's thesis by the committee.