Course Requirements for MS Students
Overview
- Students who have not had the equivalent of MA 405 (Introduction to Linear Algebra and Matrices), MA 407 (Introduction to Modern Algebra), and MA 425 - 426 (Mathematical Analysis I and II) must make up these courses. Students who have not had the equivalent of MA 426 may take it for graduate credit by registering for MA 591M.
- Core requirements for the MS in Mathematics (four courses):
- Core requirements for the MS in Applied Mathematics (four courses):
- MA 515 (Analysis)
- MA 580 (Numerical Analysis)
- Two courses from among:
- In-depth experience for either degree: two two-course sequences, or one three-course sequence.
- Courses taken to meet the core requirements must be taken for grade and
passed.
Remarks
- A sequence used to meet the in-depth experience requirement may include a course used to meet the core requirements. Thus it is possible to meet the in-depth experience requirement by taking only two courses beyond the core requirements: the follow-up courses to two core courses, or two follow-up courses to one core course.
- Sequences used to meet the in-depth experience requirement do not have to be mathematics courses; they can be in mathematics-related areas. Students who take several courses in a department other than mathematics should consider minoring in that department; minors appear on diplomas. Each department has its own minor requirements, which the student should determine. If a student chooses to have a minor, a representative of the minor department must serve on the student's advisory committee.
- Sequences used to meet the in-depth experience requirement need not be formally recognized sequences, but should represent a single area studied in depth. Examples of acceptable sequences are described below, and many others are possible (for example, sequences using special topics courses). Sequences not on the list should be approved by one of the Graduate Program Directors.
- The in-depth experience should include two to four courses that are not used to meet the core requirement.
- Electives: One to three courses.
- At most three courses may be mathematics-related courses outside the Mathematics Department.
- Project: one course, MA 676 Cannot be used to meet the in-depth experience requirement.
- Oral Comprehensive Examination, including presentation of project.
- Total: 30 credits (nine courses plus a project).
Concentration
in Computational Mathematics (CMA)
For this degree, the student must fulfill the requirements
for an MS in Applied Mathematics. In addition, the student's coursework
must include MA
780 and one course from the list
of approved CMA courses.
Examples
of In-Depth Experiences
Many other combinations are possible. For example, special topics courses can be used.
- Algebra: 2 - 3 courses from among MA 521, MA 522, MA 721
- Analysis: MA 515, MA 647. MA 648 may be added as a third course.
- Biomathematics: MA 771 and MA 772
- Celestial mechanics: MA 575 and MA 556.
- Complex variables: 2 - 3 courses from among MA 513, MA 711 , MA 712 , MA 713.
- Control theory: MA 531 and MA 731
- Delay differential equations: MA 535 and MA 735
- Linear algebra/Lie algebras: MA 520 and MA 720
- Mathematical modeling: MA 573 and MA 574
- Mathematical methods in the physical sciences: MA 775 and MA776
- Mathematical physics: MA 555 and MA 755, MA 756 may be added as a third course.
- Mathematical programming: 2 - 3 courses from MA 505, MA 706, MA 708.
- Matrix theory: MA 523 and MA 723
- Numerical analysis: 2 - 3 courses from among MA 580 , MA 780 , MA 785 , MA584, MA 587, MA 788 , MA 782, MA 783 , MA 784.
- Ordinary differential equations: 2 - 3 courses from among MA 519, MA 532 and MA 600.
- Partial differential equations: MA 534 and MA 734.
- Probability: MA 546 followed by MA 746 and/or MA 544.
- Topology: MA 551 followed by MA 751 and/or MA 753
- Statistics: ST 500 - 700 or ST 500 - 504 or ST 501 - 701 or ST 502 - 702 or ST 741 - 742. Various third statistics course may be added depending on individual interests.
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