Doctor's degree Mathematics - Indiana University - Bloomington

Doctor's degree Mathematics from Indiana University - Bloomington is a Campus Ph.D Mathematics degree that prepares you for a Education career. Requirements for the Doctor of Philosophy Foreign Language Requirement In addition to English, reading proficiency in one language is required in which major research articles in mathematics are published. Accepted languages are French, German, and Russian. The Graduate Policy Committee will consider petitions to use other languages. The justification for any substitution must be made on mathematical grounds. Foreign language proficiency can be established in three different ways: 1. One may take and pass with a grade of at least B (3.0) in the 492 reading course (e.g. F492 for French, G492 for German, and R492 for Russian). Students may register for the first course in the sequence _491, to prepare for the _492. Please note that the _491 and _492 courses are not counted as graduate credit, therefore these hours do not count toward your 90 hour requirement. 2. One may take and pass the Graduate Student Foreign Language Test administered on a regular basis by the language departments at Indiana University. There is a charge for these exams. 3. The examinee can translate a portion of an approved mathematics text. To qualify under this method, one contacts a mathematics faculty member designated by the Director of Graduate Studies and arranges with that faculty member to take the exam by translating a portion of the agreed upon text. The exam lasts about one hour and a dictionary is allowed. After consultation with the language department, a decision will be made based on the translation. Results will be communicated by the Graduate Office. One may attempt this exam in a given language at most once a semester. Course Requirements Graduate students must complete at least 90 hours of graduate study. These must include 36 hours of math courses at the 500- to 700-level, excluding M553, M555, M556, M595, M596, and M599. In addition, 2 credit hours of M599 (attendance at weekly mathematics colloquia) must be completed. The total course work to be applied toward the Ph.D. must satisfy one of the three options described below. In general, reading courses may not be used to satisfy these distribution requirements unless they are specifically approved for that purpose by the Graduate Policy Committee. Applied Mathematics Option Complete M511-M512, M513, and M540-M541 plus six hours of graduate credit outside the Department of Mathematics in an area conducive to serious mathematical treatment and approved by your advisor. Instead of these six hours, you may substitute 12 hours of graduate credit in courses co-listed by Mathematics and Physics. Finally, you must complete six hours of graduate credit (400-level or higher) in each of two of the following three groups: 1. Algebra and Logic/Foundations 2. Topology and Geometry 3. Numerical Analysis, Probability and Statistics Pure Mathematics Option Complete six hours of graduate credit (at the 400-level and higher) in five of the following groups. The courses used must include six hours at the 500-level or higher in two of groups i-iv and six hours at the 500-level or higher in a third group, excluding group vii: 1. Analysis 2. Algebra 3. Topology and Geometry 4. Logic and Foundations 5. Probability and Statistics 6. Applied Mathematics and Numerical Analysis 7. Outside and miscellaneous (cryptography, quantum computing, financial mathematics, computer science, economics, and physics are commonly used, but others may also be appropriate). Any courses here must be approved by your advisor and the Director of Graduate Studies. Statistics Option Each student's program should be arranged to include work in Mathematical Statistics, Probability, and the application of statistics to some particular field. Candidates must complete M511-M512, M563-M564, M566-M567 (or suitable substitutions authorized by the Director of Graduate Studies), and six hours of graduate credit in each of two of the following groups: 1. Applied Mathematics and Numerical Analysis 2. Algebra 3. Complex Analysis 4. Topology and Geometry 5. Computer Science View more details on Indiana University - Bloomington, IN . Ask your questions and apply online for this program or find other related Mathematics courses.