Home » Programs » PhD Degrees » PhD Mathematics

PhD Mathematics

The department offers programs leading to the Master of Arts, Master of Science, and Doctor of Philosophy degrees with a major in mathematics. Concentrations are available in pure, applied, or computer mathematics, in mathematics education, or in probability and statistics. The Mathematics program is offered by University of Arizona.

Quick Facts

 
Full-time Duration: 1 year
Starting in: August
Tuition Fee: $10,063 per semester
Location: Tucson, United States

As there are no sharp boundaries between these concentrations, students are encouraged to pursue a broad range of mathematical topics. Programs are planned in consultation with faculty advisers.

To be admitted, applicants must have completed the equivalent of an undergraduate major in mathematics with at least 15 units of upper-division or higher level work including one semester each of advanced analysis at the level of Math 425A, abstract algebra at the level of Math 415A, and linear algebra at the level of Math 413. Applicants are asked to submit scores on the Graduate Record Examination, including the subject Examination in Mathematics.

For the Doctor of Philosophy degree, the requirements are: 36 units of graduate credit in the major and 12 units in a supporting minor, which may be declared in Mathematics, although outside minors are encouraged. Students will normally either take the first year graduate core courses in Algebra (Math 511A-B), Real Analysis (Math 523A-B), and Geometry-Topology (Math 534A-B), or otherwise learn this material by the end of their first year of Ph.D. studies for the Qualifying Examinations.

Educational Opportunity

Qualifying examinations are offered twice yearly, in August and in January, shortly before the beginning of Fall and Spring semesters. Students with prior preparation may attempt the examinations upon entrance to the program, or after one semester. Ideally a student will complete the qualifying examinations by the August following entrance to the Ph.D. program. Students who receive a failing grade twice on any one of the examinations will not be continued in the Ph.D. program.

Students who do not complete the three examinations within five semesters and with a cumulative passing grade will not be continued in the Ph.D. program unless the Graduate Committee, upon review of the case, finds extenuating reasons to justify such continuation. Two year-long Mathematics course sequences that are not co-convened and are not part of the required core of algebra, real analysis, and geometry-topology are required.

Program Structure

  • For each of the traditional core courses, Algebra, Real Analysis, and Geometry–Topology, students must either take the course and receive a grade of B or better in both semesters or earn a high pass on the corresponding written qualifying exam.
  • The material in these courses is essential knowledge for all mathematicians, and it is assumed in all further advanced course work in the department.

Get Started Today!

Fill out this form to request more info on tuition, course details & more.

Request free information

Your privacy matters and your data will be held in accordance with University of Arizona's privacy policy as well as Studyportals’ privacy statement and terms of use. You consent to receiving marketing material from University of Arizona's and Studyportals about furthering your education. You understand that these calls/emails/texts may be generated using an automated technology. You also consent that Studyportals can verify your course search and enrolment progress via publicly available information or via education institutions you’ve shown an interest in, with which we can share your personal details (for verification purposes only).
You can contact University of Arizona's and Studyportals at any time to exercise your personal data rights.

 

“Choosing the Master’s program for Physiological Sciences at the University of Arizona was one of the best decisions I could have made in my education. Our department is warm and collaborative, offering an array of research topics and techniques underneath a vast and integrative umbrella of physiology. Beyond my research experience, I was presented with teaching opportunities, which I feel honed my skill of scientific communication. Having the dynamic research/teaching/class schedule not only kept me active but helped me reinforce material in multiple contexts. Overall, this program was exactly what I wanted in my segway into the medical sciences… and with my teaching assistantship paying for my tuition, how could I say no?”​

Andrew Wojtanowski // MS 2016