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MS Program

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Master of Science in Mathematics

TCU’s Master of Science (MS) degree in mathematics features both a pure and an applied track. The pure track primarily prepares students for doctoral work in mathematics, whereas the applied track equips students with mathematical tools applicable in industry. The program provides a broad knowledge of mathematics and its history, teaches problem solving skills and exposes students to the general philosophy of mathematics. The pure track includes 36 hours of graduate mathematics courses; the applied track allows up to six hours of approved graduate science courses to count toward the 36-hour total. Class sizes are small and the courses are scheduled in a flexible manner to accommodate part-time students. Award-winning teachers, faculty expertise in a wide range of research areas and abundant opportunities for one-to-one student and faculty interaction characterize our program.

Admission Requirements: BA or BS degree with a mathematics major or 24 semester hours of mathematics, including courses in elementary calculus of one and several variables, linear algebra, and at least eight hours of departmentally-approved advanced undergraduate courses in mathematics. Students deficient in any area of preparation may be required to take the necessary coursework during the first year of graduate study. Scores on the GRE are used as an aid in the overall evaluation of the applicant’s graduate potential.

Application Deadlines: The application deadline for the fall semester of a given academic year is January 1. The application deadline for the spring semester of a given academic year is September 1. After these deadlines, we continue to consider applications until the available positions are filled.

Click here to see the grad program flyer.

Click here to see a Prezi presentation about our graduate program.

Application Process: It is recommended that the student contact the graduate director at the time of application, in case there are any questions about the program or the application procedure. The application is now for the most part online, and the student should click here to start the online application. Realize that you will need to submit the following with your online application:

  1. A completed online application
  2. Three letters of recommendation (the online application will prompt you for information regarding your references.)
  3. Transcripts of all colleges attended (upload unofficial copies via the online application. If you are admitted to the program a single copy of all official transcripts will be required – see address below) [When applicable, student needs to submit English translations of transcripts. We do not provide this service.]
  4. Personal Statement of Purpose (upload via the the online application. Essay – 1,000 words or less, that describes your motivation and goals for graduate study, career ambitions, and the specific ways TCU may fit those.)
  5. General GRE scores (input scores in Testing Information section in the online application, then request ETS to send official scores to TCU Graduate Studies, institutional code 6820) [The TCU Requirement for GRE is a minimum score of 300 (new scale) or 1000 (old scale). However, Mathematics applicants who are accepted typically have higher GRE scores.]
  6. Application fee of $60 (payment via online application.)
  7. If desired, request financial aid (tuition waivers and stipends) within the online application.
  8. Additional items for international applicants only:
    • TOEFL scores (input scores in Testing Information section in the online application, then request ETS to send official scores to TCU Graduate Studies, institutional code 6820) It is also possible to use IELTS scores instead; in that case, please fill in the information on the online application and then request that official scores are sent directly to TCU. [TCU requires the following minimum scores: IELTS – 6.5; TOEFL (IBT) – 80; TOEFL (PBT) – 550; TOEFL (CBT) – 213 .]
    • For U.S. permanent resident: Please confirm that you are a permanent resident of the United States by emailing a scanned copy of your green card to
    • If you are not a permanent resident, please email the completed International Student and Scholar Form to
    • Admitted students will also be required to provide proof of financial support by filling out and returning the Financial Statement for International Students to Students on full Teaching Assistantships do not have to use this form.
    • For additional information for international students refer to the International Student Services (ISS) web pages (

Please use the address below for mailing of any hard copies of documents (e.g. transcripts sent from your institutions). Please also feel free to contact us regarding any questions you may have about the application process.

Dr. Magnus Rittby, Senior Associate Dean (
TCU College of Science & Engineering
Attn: Graduate Studies
TCU Box 298960
Fort Worth, TX 76129

TCU is committed to providing a positive learning and working environment free from discrimination and harassment. In support of this commitment, TCU prohibits discrimination and harassment on the basis of age, race, color, religion, sex, sexual orientation, gender, gender identity, gender expression, national origin, ethnic origin, disability, genetic information, covered veteran status, and any other basis protected by law. Inquiries about TCU’s policies and compliance with Title IX, The Age Discrimination Act of 1975, or the aspects of TCU’s equal opportunity or affirmative action programs should be directed to:

Dr. Darron Turner
Chief Inclusion Officer and Title IX Coordinator
TCU Box 297090
Jarvis Hall 228
Fort Worth, Texas 76129

Program Details

Basic Coursework: The MS program consists of 36 hours of graduate coursework. In accordance with TCU policy, a grade point average of at least 2.75 must be maintained with no more than two grades of C+ or lower being to satisfy the degree requirement. Also, only five courses may be taken at the 50000-level; other classes must be at the 60000-level or higher. Mathematics coursework must include the following:

  • MATH 50253: Abstract Algebra I
  • MATH 50403: Complex Analysis
  • MATH 50503: Real Analysis I
  • MATH 60513: Real Analysis II
  • MATH 60223: Applied Linear Algebra

An advanced student may be waived from any or all of these required courses by passing the corresponding Ph.D. preliminary exam(s) or otherwise showing proficiency in the material, as determined by the department.

Specialized Coursework: In addition to the five core courses, at least four courses are to be chosen from either the Pure Mathematics Option or the Applied Mathematics Option:

Pure Mathematics Track: This track of the master’s program prepares students for careers in academia. Each student selecting this track must take at least four of the pure mathematics courses listed below:

  • MATH 50323: Differential Geometry
  • MATH 50703 Number Theory
  • MATH 60263 Abstract Algebra II
  • MATH 60313 Topology
  • MATH 60323 Algebraic Topology I
  • MATH 60413 Advanced Complex Analysis
  • MATH 60523 Measure Theory
  • Any MATH 70000+ level 3-hour course

Applied Mathematics Track: This track of the master’s program prepares students for careers outside academia. Each student selecting this track must take at least four applied mathematics courses from the list below:

  • MATH 50613 Partial Differential Equations
  • MATH 50623 Applied Mathematics I
  • MATH 60103 Graph Theory
  • MATH 60543 Numerical Analysis
  • MATH 60553 Modern Fourier Analysis
  • MATH 60603 Game Theory
  • MATH 60613 Differential Equations of Mathematical Physics
  • MATH 60633 Applied Mathematics II
  • MATH 60643 Dynamical Systems and Applications

These courses feature applications to sciences outside of mathematics. Up to 6 hours of the applied mathematics courses may be substituted with graduate coursework taken in the departments of Biology, Chemistry, Computer Science, Engineering, Environmental Science, Geology or Physics & Astronomy, with approval from the student’s graduate adviser in the Department of Mathematics.

Master’s Thesis or Electives: The student may choose either to write a master’s thesis (3 hours of MATH 70980 and 3 hours of MATH 70990) and complete 3 hours of approved elective coursework, or to complete 9 hours of approved elective coursework. The thesis should be written over two semesters and approved by the department.

The thesis need not contain original research, but must demonstrate a deep and thorough understanding of some area of mathematics.

For more information, contact

Ken Richardson
Director of Graduate Studies in Mathematics
TCU Box 298900
Fort Worth, TX 76129