Ph.D. degree in Mathematical Sciences: Core Group A (Mathematics)
Pure Mathematics or Applied Mathematics Focus
This four-year program assumes a strong entering background in mathematics, including a one-year sequence in probability and statistics. If your entering background is average, add one or two years at the outset for MATH 520, 521, 530, 531, 534, 542 and 550, and STAT 570 and 572 as necessary.
You should register for two hours of MATH 792 each fall and spring semester before the working phase of your Applications Involvement Component (AIC).
| Semester |
Courses |
| First semester, year one |
- Math 620 Algebraic Structures I
- Math 630 Real Analysis I
- Math 636 Ordinary Differential Equations I*
|
| Second semester, year one |
- Math 621 Algebraic Structures II
- Math 632 Complex Analysis
- Math 650 Topology*
|
| Summer, year one |
- Foreign language course, research tool, other elective or written Ph.D. qualifying examination
|
| First semester, year two |
- Math 631 Real Analysis II (Functional analysis)*
Math 640 Applied Mathematics (or other elective)
Math 662 Numerical Analysis
|
| Second semester, year two |
- Math 642 Partial Differential Equations I*
- 600-level elective
- 700-level seminar
|
| Year two |
- Written Ph.D. qualifying examination
|
| First semester, year three |
- 600-level elective
- 700-level seminar or reading course
- 700-level seminar or reading course
|
| Second semester, year three |
- Applications Involvement Component (internship)
- 700-level seminar or reading course
|
| Year three |
- Oral Ph.D. candidacy examination
|
| First semester, year four |
- 700-level seminar or reading course
- Math 799 Doctoral Research and Dissertation
|
| Second semester, year four |
- Math 799 Doctoral Research and Dissertation
|
| Summer, year four |
- Math 799 Doctoral Research and Dissertation
- Complete dissertation and graduate
|
*This program requires 4 of these 5 courses.
Ph.D. degree in Mathematical Sciences: Core Group D (Mathematics)
Computational Mathematics Focus
This four-year program assumes a strong entering background in mathematics, including a one-year sequence in probability and statistics. If your entering background is average, add one or two years at the outset for MATH 520, 521, 530, 531, 534, 542 and 550, and STAT 570 and 572 as necessary.
You should register for two hours of MATH 792 each fall and spring semester before the working phase of your AIC.
| Semester |
Courses |
| First semester, year one |
- Math 620 Algebraic Structures I
- Math 630 Real Analysis I
- Math 662 Numerical Analysis
|
| Second semester, year one |
- Math 621 Algebraic Structures II*
Math 632 Complex Analysis
Math 664 Numerical Linear Algebra
|
| Summer, year one |
- Foreign language course, research tool, other elective or written Ph.D. qualifying examination
|
| First semester, year two |
- Math 631 Real Analysis II (Functional analysis)*
- Math 636 Ordinary Differential Equations*
- Math 668 Nonlinear Programming
|
| Second semester, year two |
- Math 666 Numerical Differential Equations
- Math 642 Partial Differential Equations I*
- Math 650 Topology*
|
| Summer, year two |
- Written Ph.D. qualifying examination
|
| First semester, year three |
- Math 640 Applied Mathematics (or other elective)
- 700-level seminar or reading course
- 700-level seminar or reading course
|
| Second semester, year three |
- Applications Involvement Component (internship)
- 700-level seminar or reading course
|
| Summer, year three |
- Oral Ph.D. candidacy examination
- Math 799 Doctoral Research and Dissertation
|
| First semester, year four |
- 700-level seminar or reading course
- Math 799 Doctoral Research and Dissertation
|
| Second semester, year four |
- Math 799 Doctoral Research and Dissertation
|
| Summer, year four |
- Math 799 Doctoral Research and Dissertation
- Complete dissertation and graduate
|
*This program requires 4 of these 5 courses.
Ph.D. degree in Mathematical Sciences: Core Group B (Mathematics Education)
A typical 4-year schedule for this degree is given below. Special schedules may be designed to fit the needs of part-time or other students. You should register for two hours of MATH 792 each fall and spring semester before the working phase of your AIC.
| Semester |
Courses |
| First semester, year one |
- Math 610 Theoretical Foundations of Mathematics Education
- Math 520 Algebra I**
- Math 530 Advanced Calculus I**
|
| Second semester, year one |
- Math 614 The Teaching of Geometry
- Math 521 Algebra II
- Math 531 Advanced Calculus II
|
| Summer, year one |
- Math 612 The Teaching of Mathematics, Grades 6-9
- Foreign language, research tool or elective course
|
| First semester, year two |
- Math 613 The Teaching of Algebra
- Math 620 Algebraic Structures I
- Math 630 Real Analysis I or Math 562 Numerical Analysis
|
| Second semester, year two |
- Math 611 Introduction to Mathematics Education Research
- Math 615 Using Microcomputers in Teaching Mathematics
- Math 632 Complex Analysis
|
| Summer, year two |
- Written Ph.D. qualifying examination
|
| First semester, year three |
- Initiate AIC
- Math 662 Numerical Analysis or Math 630 Real Analysis I
- Elective topics course or seminar outside mathematics education
|
| Second semester, year three |
- Math 710A or B Topics in Mathematics Education
- Elective topics course or seminar outside mathematics education
- Oral Ph.D. candidacy examination
|
| Summer, year three |
- Math 799 Doctoral Research and Dissertation
- AIC completed
|
| First semester, year four |
- 700-level elective topics course or seminar
- Math 710A or B Topics in Mathematics Education
- Math 799 Doctoral Research and Dissertation
|
| Second semester, year four |
- Math 710A or B Topics in Mathematics Education
- Math 799 Doctoral Research and Dissertation
|
| Summer, year four |
- Math 799 Doctoral Research and Dissertation
- Complete dissertation and graduate
|
**Math 520 and Math 530 both carry graduate credit, but only one of these two courses may be counted toward a mathematical sciences graduate degree.