Students admitted into the graduate mathematics program must have at least a bachelor's degree and a GPA of 3.2 in their major undergraduate mathematics courses.
Note: In response to COVID-19, the Graduate School has made temporary changes to the GRE requirement. For the 2021-22 academic year, the GRE requirement has been waived for all programs in the Graduate School. Applicants will be evaluated holistically: GPA, letters of recommendation, statement of academic interests and professional goals, and an autobiographical statement that foregrounds your research interests. For more information, contact the Department of Mathematics' Director of Graduate Studies, Dr. Henok Mawi
The Expository Writing Requirement
Howard University mandates that all entering graduate students pass an expository writing requirement administered by their department of study, unless the student has earned a score of 5.0 or better on the GRE Analytical Writing test. The expository writing requirement must be met within the student's first year of enrollment.
There are several options mathematics majors can use to satisfy the Department of Mathematics writing requirement:
a. Score a 5.0 or better on the Analytical Writing portion of the GRE;
b. Publish an article in a professional mathematics or education journal;
c. Have written a master's thesis at an accredited institution;
d. Complete the McGraw-Hill Connect adaptive learning module for developing writers. A link to the course is given below:
e. Complete the History of Mathematics course with a B or better.
i. In this course, students are required to write a paper in LaTeX on a mathematical history topic. The paper must include both historical and mathematical content.
ii. Using a rubric developed by a subcommittee of the Department of Mathematics Graduate Committee, the paper will be evaluated according to analysis, language control, grammar, clarity, and logic.
At least two semesters of full-time study or the equivalent, shall be undertaken in the Department of Mathematics within the Graduate School of Arts and Science.
Graduate students shall regularly attend seminars, lecture series, and colloquia sponsored by the Department of Mathematics.
The Ph.D. Degree Program
This degree program requires a minimum of 60 graduate credits beyond the B.S. degree or a minimum of 36 graduate credits beyond the M.S. degree in course work. In addition 12 graduate credits are required for the Ph.D. dissertation.
The courses for the Ph.D. degree presented by a candidate must include at most one course from Group 1, all courses from Group 2, at least two courses from Group 3 and a course on topics in History of Mathematics. Additional courses to cover the areas of qualifying examinations as well as topics courses will be on subjects corresponding to the research interests of the faculty.
Core Course Groups
- Introduction to Analysis I (MATH-220 / MATH-195)
- Introduction to Analysis ll (MATH-221 / MATH-196)
- Introduction to Modern Algebra I (MATH-208 / MATH-197)
- Introduction to Modern Algebra ll (MATH-209 / MATH-198)
- Introduction to Complex Analysis (MATH-185)
- Introduction to Differential Geometry (MATH-186)
- Probability and Statistics (MATH-189)
- Introduction to Number Theory (MATH-184)
- Introduction to General Topology (MATH-199)
- Algebra I (MATH-210)
- Algebra II (MATH-211)
- Real Analysis I (MATH-222)
- Real Analysis II (MATH-223)
- Topology I (MATH-250)
- Complex Analysis I (MATH-229)
- NumberTheory I (MATH-214)
- Applications of Analysis (MATH-224)
- Complex Analysis II (MATH-230)
- Functional Analysis I (MATH-231)
- Algebraic Topology I (MATH-252)
- Algebraic Topology II (MATH-253)
- Differential Geometry I (MATH-259)
- Differential Geometry II (MATH-260)
- Partial Differential Equations II (MATH-237)
Ph.D. Degree: Admission and Examination Requirements
To obtain a Ph.D. degree, a student admitted to the program must:
- pass two qualifying examinations on subjects, not closely related to each other, chosen from two of the following six groups:
- Real Analysis or Complex Analysis or Functional Analysis or Harmonic Analysis
- Algebra or Number Theory
- Geometry or Topology
- Dynamical Systems or Ordinary Differential Equations or Partial Differential Equations
- Probability or Mathematical Statistics.
- take a third qualifying examination in an area of the student's choice, that may include one from the above six groups, and
- write a Ph.D. dissertation and defend it satisfactorily.
Financial support from the university is contingent upon the student making satisfactory progress. Students in the Ph.D. degree program are expected to have successfully completed six graduate courses in the first year in the Ph.D. program and to have passed at least two of the qualifying examinations by the end of their second year in the Ph.D. program in order to obtain continuing university support.
Students must exhibit proficiency in one of the following languages: Arabic, Chinese, French, German, Russian. In exceptional cases, other languages may be accepted by the Department. In lieu of a language from the above list and upon approval of the Chairman of the Department, students may take suitable graduate level courses from one of the following departments or schools: Computer Science, Sociology, Economics, Biology or Education.
Requirements for Admission to Candidacy for the Ph.D. degree:
- Candidates must have passed two of the Qualifying Examinations.
- Candidates must satisfy the language requirement and the writing skills requirement.
- A minimum of 18 credits of work toward the Ph.D. degree shall be pursued after admission to candidacy.
- Doctoral candidates shall participate actively in at least two seminars during their candidacy.
- Only courses in which students earn grades of "A" or "B" may be counted toward the Ph.D. degree.
- A student in the Ph.D. program who accumulates more than two courses of grades below "B" shall be dropped from the Mathematics Graduate Program.