The following pages provide examples of programs of study in the Ph.D. in mathematical sciences (90 hours). Many other combinations of courses are possible. Your adviser will have up-to-date information on the semesters when particular courses are normally offered.
See the NIU Graduate Catalog
for course descriptions and detailed information on degree requirements.
| Focus: | Pure or Applied | Computational | Education |
(This 4-year program assumes a strong entering background, including a one-year sequence in probability and statistics. If the entering background is average, add one year or two at the outset for Math 520, 521, 530, 531, 534, 542 and 550, and Stat 570 and 572 as necessary.) Doctoral students should register for two hours of Math 792 each Fall and Spring semester that they are in residence on campus, before the working phase of their AIC (Spring of the 3rd year in this example).
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| 1st term, Year One | Math 620 Algebraic Structures I | |
| Math 630 Real Analysis I | ||
| * | Math 636 Ordinary Differential Equations I |
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| 2nd term, Year One | * | Math 621 Algebraic Structures II |
| Math 632 Complex Analysis | ||
| * | Math 650 Topology |
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| Summer, Year One | Foreign Language Course or a Researsch Tool or Other elective
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| or WRITTEN PH.D. QUALIFYING EXAMINATION | ||
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| 1st term, Year Two | * | Math 631 Real Analysis II (Functional analysis) |
| Math 640 Applied Mathematics (or other elective) | ||
| Math 662 Numerical Analysis
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| 2nd term, Year Two | * | Math 642 Partial Differential Equations I |
| 600-level elective | ||
| 700-level seminar
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| Year Two | WRITTEN PH.D. QUALIFYING EXAMINATION
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| 1st term, Year Three | 600-level elective | |
| 700-level seminar or reading course | ||
| 700-level seminar or reading course
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| 2nd term, Year Three | Applications Involvement Component (internship) | |
| 700-level seminar or reading course
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| 700-level seminar or reading course | ||
| Math 799 Doctoral Research and Dissertation
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| Year Three | ORAL PH.D. CANDIDACY EXAMINATION | |
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| 1st term, Year Four | 700-level seminar or reading course | |
| Math 799 Doctoral Research and Dissertation
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| 2nd term, Year Four | Math 799 Doctoral Research and Dissertation
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| Summer Year Four | Math 799 Doctoral Research and Dissertation
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| COMPLETE DISSERTATION AND GRADUATE | ||
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* This program requires 4 of these 5 courses.
Ph.D. degree in Mathematical Sciences: Core Group D (Mathematics)
Computational Mathematics Focus
(This 4-year program assumes a strong entering background, including a one-year sequence in probability and statistics. If the entering background is average, add one year and one summer at the outset for Math 520, 521, 530, 531, 534, 542 and 550, and Stat 570 and 572 as necessary.) Doctoral students should register for two hours of Math 792 each Fall and Spring semester that they are in residence on campus, before the working phase of their AIC (Spring of the 3rd year in this example).
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| 1st term, Year One | Math 620 Algebraic Structures I | |
| Math 630 Real Analysis I | ||
| Math 662 Numerical Analysis
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| 2nd term, Year One | * | Math 621 Algebraic Structures II |
| Math 632 Complex Analysis | ||
| Math 664 Numerical Linear Algebra
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| Summer, Year One | Foreign Language Course/Research Tool/Other Elective
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| or WRITTEN PH.D. QUALIFYING EXAMINATION
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| 1st term, Year Two | * | Math 631 Real Analysis II (Functional analysis) |
| * | Math 636 Ordinary Differential Equations | |
| Math 668 Nonlinear Programming |
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| 2nd term, Year Two | Math 666 Numerical Differential Equations | |
| * | Math 642 Partial Differential Equations I | |
| * | Math 650 Topology
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| Summer, Year Two | WRITTEN PH.D. QUALIFYING EXAMINATION | |
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| 1st term, Year Three | Math 640 Applied Mathematics (or other elective) | |
| 700-level seminar or reading course | ||
| 700-level seminar or reading course
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| 2nd term, Year Three | Applications Involvement Component (internship) | |
| 700-level seminar or reading course
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| Summer, Year Three | ORAL PH.D. CANDIDACY EXAMINATION | |
| Math 799 Doctoral Research and Dissertation
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| 1st term, Year Four | 700-level seminar or reading course | |
| Math 799 Doctoral Research and Dissertation
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| 2nd term, Year Four | Math 799 Doctoral Research and Dissertation
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| Summer, Year Four | Math 799 Doctoral Research and Dissertation
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| COMPLETE DISSERTATION AND GRADUATE | ||
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* 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. Doctoral students should register for one hour of Math 792 each Fall and Spring semester that they are in residence on campus, before the working phase of their AIC (Fall of the 3rd year in this example).
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| 1st term, Year One | Math 610 Theoretical Foundations of Mathematics Education | |
| ** | Math 520 Algebra I | |
| ** | Math 530 Advanced Calculus I
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| 2nd term, Year Two | Math 614 The Teaching of Geometry | |
| Math 521 Algebra II | ||
| Math 531 Advanced Calculus II
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| Summer, Year One | Math 612 The Teaching of Mathematics, Grades 6-9 | |
| Foreign Language or Research Tool or Elective Course
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| 1st term, Year Two | Math 613 The Teaching of Algebra | |
| Math 620 Algebraic Structures I | ||
| Math 630 Real Analysis I or Math 562 Numerical Analysis
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| 2nd term, Year Two | Math 611 Introduction to Mathematics Education Research | |
| Math 615 Using Microcomputers in Teaching Mathematics | ||
| Math 632 Complex Analysis
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| Summer 2007 | Math 610A or B Topics in Mathematics Education
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| Summer, Year Two | WRITTEN PH.D. QUALIFYING EXAMINATION
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| 1st term, Year Three | Initiate Applications Involvement Component | |
| Math 662 Numerical Analysis or Math 630 Real Analysis I | ||
| Elective topics course or seminar outside mathematics education
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| 2nd term, Year Three | Math 710A or B Topics in Mathematics Education | |
| Elective topics course or seminar outside mathematics education | ||
| ORAL PH.D. CANDIDACY EXAMINATION
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| Summer, Year Three | Math 799 Doctoral Research and Dissertation | |
| Applications Involvement Component completed
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| 1st term, Year Four | 700-level elective topics course or seminar | |
| Math 710A or B Topics in Mathematics Education | ||
| Math 799 Doctoral Research and Dissertation
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| 2nd term, Year Four | Math 710A or B Topics in Mathematics Education | |
| Math 799 Doctoral Research and Dissertation
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| Summer, Year Four | Math 799 Doctoral Research and Dissertation
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| COMPLETE DISSERTATION AND GRADUATE | ||
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** 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.
Last modified: 08/19/2010 (zjy)