Test Math Program
Mathematics | Graduate
The mathematics graduate program offers an opportunity to do research in both pure and applied areas of mathematics. Our program is designed for students who expect to pursue a career in academia as well as those preparing for careers as mathematicians in industry and government.
The Department of Mathematics offers a Doctor of Philosophy degree in mathematics.
Contacts
Program Details
- Degree Classification: Graduate
- Related Degrees: Ph.D.
- Program Frequency: Full-Time
- Format: In Person
Admission Requirements
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. Dennis Davenport.
Degree Requirements
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:
http://connect.customer.mheducation.com/products/connect-mcgraw-hill-connect-writing-3-0-3e/
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.
Residence Requirements
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.
Other Requirements
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.
Course Requirements
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
Group 1
- 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)
Group 2
- Modern Algebra I (MATH 210)
- Modern Algebra II (MATH 211)
- Real Analysis I (MATH 222)
- Real Analysis II (MATH 223)
- Topology I (MATH 250)
- Complex Analysis I (MATH 229)
Group 3
- Number Theory I (MATH 214)
- Number Theory II (MATH 215)
- Applications of Analysis (MATH 224)
- Complex Analysis II (MATH 230)
- Functional Analysis I (MATH 231)
- Functional Analysis II (MATH 232)
- Partial Differential Equations I (MATH 236)
- Partial Differential Equations II (MATH 237)
- Mathematics Statistics I (MATH 240)
- Mathematics Statistics II (MATH 241)
- Topology II (MATH 251)
- Algebraic Topology I (MATH 252)
- Algebraic Topology II (MATH 253)
- Differential Geometry I (MATH 259)
- Differential Geometry II (MATH 260)
- Combinatorics I (MATH 273)
- Combinatorics II (MATH 274)
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
- Combinatorics
- 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
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.
Requirements for Admission to Candidacy for the Ph.D. degree:
- Candidates must have passed two of the Qualifying Examinations.
- Candidates must satisfy the writing skills requirement.
Other Requirements
- 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.
- The mathematics PhD program no longer has a foreign language requirement.
Admission to Candidacy
A student should file for admission to candidacy after 12 hours of work has been completed and this student has satisfied the GSAS writing proficiency requirement. Forms provided by the dean should be filed a semester before graduation and approved by the student's thesis committee and the Executive Committee of the Graduate School of Arts and Sciences.
Residence Requirements
At least four semesters of residence and full-time study or the equivalent, shall be in the Department of Mathematics of Howard University.