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 Mathematics degree from University of Arizona. 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. These two sequences must be in two of the three general areas: algebra and number theory, analysis and geometry, mathematical physics and applied mathematics.
For most students one of the sequences will be Complex Analysis (Math 520A-B). At least six approved units outside of Mathematics are also required. There is a language requirement which can be satisfied in any two of the following: French, German, Russian, or computer programming. The principal component of the program is the completion of a dissertation involving original creative research.
Get more detailsVisit official programme website
- Real Analysis
- Research on the Learning of Mathematics for Teachers
- Symbolic Logic
- History of Mathematics
- Algebra for Elementary & Middle School Teachers
Check out the full curriculumVisit official programme website
- 36 months
Start dates & application deadlines
- Apply before
DisciplinesPhysics Mathematics Applied Mathematics
Explore more key informationVisit official programme website
- Statement of Purpose
- Three Letters of Recommendation (letters must be dated and not more than a year old)
- Description of past math-related coursework
Make sure you meet all requirementsVisit official programme website
International33600 USD/yearTuition FeeBased on the tuition of 33600 USD per year during 36 months.
National33600 USD/yearTuition FeeBased on the tuition of 33600 USD per year during 36 months.
In-State13400 USD/yearTuition FeeBased on the tuition of 13400 USD per year during 36 months.
Living costs for Mexico City
The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.
Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.
Double-check all feesVisit official programme website
Apply and win up to €10000 to cover your tuition fees.