M.S. in Mathematics: Applied Mathematics Specialization
| Semester |
Average Background |
Strong Background |
| First semester, year one |
- MATH 520* Algebra I
- MATH 530* Advanced Calculus I
- Computer Science 230* FORTRAN
|
- MATH 630 Real Analysis I
- MATH 636 Ordinary Differential Equations I
- MATH 662 Numerical Analysis
|
| Second semester, year one |
- MATH 523 Linear and Multilinear Algebra
- MATH 531 Advanced Calculus II
- Elective
|
- MATH 523 Linear and Multilinear Algebra
- MATH 632 Complex Analysis
- MATH 642 Partial Differential Equations I
|
| First semester, year two |
- MATH 630 Real Analysis I
- MATH 636 Ordinary Differential Equations I
- MATH 662 Numerical Analysis
|
- MATH 620 Algebraic Structures I
- MATH 631 Functional Analysis
- MATH 640 Applied Mathematics
|
| Second semester, year two |
- MATH 632 Complex Analysis
- MATH 642 Partial Differential Equations (or MATH 542)
- Elective (664, 666, or 684)
|
Electives (621, 664, 666, 684, or 700 level) |
Year Two --- M.S. written Comprehensive Examination on Analysis and Differential Equations **
M.S. in Mathematics: Computational Mathematics Specialization
| Semester |
Average Background |
Strong Background |
| First semester, year one |
- MATH 520* Algebra I
- MATH 530* Advanced Calculus I
- MATH 534 Numerical Linear Algebra
|
- MATH 630 Real Analysis I
- MATH 662 Numerical Analysis
- MATH 668 Nonlinear Programming
|
| Second semester, year one |
- MATH 523 Linear and Multilinear Algebra
- MATH 531 Advanced Calculus II
- MATH 535 Numerical Analysis
|
- MATH 523 Linear and Multilinear Algebra
- MATH 664 Numerical Linear Algebra
- MATH 666 Numerical Differential Equations
|
| First semester, year two |
- MATH 630 Real Analysis I
- MATH 636 Ordinary Differential Equations I
- MATH 668 Nonlinear Programming
|
- MATH 631 Functional Analysis
- MATH 636 Ordinary Differential Equations I
- Elective
|
| Second semester, year two |
- MATH 664 Numerical Linear Algebra
- MATH 666 Numerical Differential Equations
- Elective
|
- MATH 632 Complex Analysis
- Electives
|
Year Two --- M.S. written Comprehensive Examination on Analysis and Numerical Mathematics **
M.S. in Mathematics: Mathematics Education Specialization
| Semester |
Average Background |
Strong Background |
| First semester, year one |
- MATH 520* Algebra I
- MATH 530* Advanced Calculus I
- MATH 610 Theoretical Foundations of Mathematics Education
|
- MATH 610 Theoretical Foundations of Mathematics Education
- MATH 613 Teaching of Algebra
- MATH 620 Algebraic Structures I
|
| Second semester, year one |
- MATH 521 Algebra II
- MATH 531 Advanced Calculus II
- MATH 614 Teaching of Geometry
|
- MATH 523 Linear and Multilinear Algebra
- MATH 531 Advanced Calculus II
- MATH 614 Teaching of Geometry
|
| First semester, year two |
- MATH 480 Number Theory
- MATH 613 Teaching of Algebra
- MATH 620 Algebraic Structures I (or MATH 630 Real Analysis I)
|
- Stat 573/573A Statistical Methods and Models I
- MATH 630 Real Analysis I
- Graduate course in a related discipline such as education, psychology - with consent of the advisor.
|
| Second semester, year two |
- STAT 573/573A Statistical Methods and Models I (or MATH 632 Complex Analysis)
- MATH 611 Introduction to Mathematics Education Research
- Graduate course in a related discipline such as education, psychology - with consent of the advisor.
|
- MATH 611 Introduction to Mathematics Education Research
- MATH 632 Complex Analysis
- Graduate course in a related discipline such as education, psychology - with consent of the advisor.
|
Year Two --- M.S. written Comprehensive Examination over Algebra (or Analysis) and Mathematics Education **
M.S. in Mathematics: Pure Mathematics Specialization
| Semester |
Average Background |
Strong Background |
| First semester, year one |
- MATH 520* Algebra I
- MATH 530* Advanced Calculus I
- MATH 534 Numerical Linear Algebra
|
- MATH 620 Algebraic Structures I
- MATH 630 Real Analysis I
- MATH 636 Ordinary Differential Equations I
|
| Second semester, year one |
- MATH 521 Algebra
- MATH 523 Linear and Multilinear Algebra
- MATH 531 Advanced Calculus II
|
- MATH 621 Algebraic Structures II
- MATH 632 Complex Analysis
- MATH 650 Topology
|
| First semester, year two |
- MATH 620 Algebraic Structures I
- MATH 630 Real Analysis I
- MATH 636 Ordinary Differential Equations I
|
- MATH 631 Functional Analysis
- MATH 662 Numerical Analysis
- Elective
|
| Second semester, year two |
- MATH 535 Numerical Analysis
- MATH 632 Complex Analysis
- MATH 650 Topology or MATH 521 Algebraic Structures II
|
Electives |
Year Two --- M.S. written Comprehensive Examination over Algebra and Analysis **
Notes for Sample Master's Programs
(*) Both MATH 520 and MATH 530 carry graduate credit, but only one of them may be counted toward a graduate degree in mathematics. Also, Computer Science 230 does not count toward the graduate program.
(**) With the consent of the department, master's students have the option of writing a master's thesis, instead of passing a written comprehensive examination. The thesis is prepared under the direction of a member of the graduate faculty, and is defended during an oral comprehensive examination. In most cases the thesis experience leads to three hours of credit in MATH 699, which can be applied to the 30 hours required for the master's degree.