Sample programs of study for the doctoral degree

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


Ph.D. degree in Mathematical Sciences: Core Group A (Mathematics)
Pure Mathematics or Applied 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 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).

1st term, Year One Math 620 Algebraic Structures I
Math 630 Real Analysis I
* Math 636 Ordinary Differential Equations I
2nd term, Year One * Math 621 Algebraic Structures II
Math 632 Complex Analysis
* Math 650 Topology
Summer, Year One Foreign Language Course or a Researsch Tool or Other elective

or WRITTEN PH.D. QUALIFYING EXAMINATION

1st term, Year Two * Math 631 Real Analysis II (Functional analysis)
Math 640 Applied Mathematics (or other elective)
Math 662 Numerical Analysis

2nd term, Year Two * Math 642 Partial Differential Equations I
600-level elective
700-level seminar

Year Two WRITTEN PH.D. QUALIFYING EXAMINATION


1st term, Year Three 600-level elective
700-level seminar or reading course
700-level seminar or reading course

2nd term, Year Three Applications Involvement Component (internship)
700-level seminar or reading course

700-level seminar or reading course
Math 799 Doctoral Research and Dissertation

Year Three ORAL PH.D. CANDIDACY EXAMINATION

1st term, Year Four 700-level seminar or reading course
Math 799 Doctoral Research and Dissertation

2nd term, 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 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).


1st term, Year One Math 620 Algebraic Structures I
Math 630 Real Analysis I
Math 662 Numerical Analysis

2nd term, 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


1st term, Year Two * Math 631 Real Analysis II (Functional analysis)
* Math 636 Ordinary Differential Equations
Math 668 Nonlinear Programming
2nd term, Year Two Math 666 Numerical Differential Equations
* Math 642 Partial Differential Equations I
* Math 650 Topology

Summer, Year Two WRITTEN PH.D. QUALIFYING EXAMINATION

1st term, Year Three Math 640 Applied Mathematics (or other elective)
700-level seminar or reading course
700-level seminar or reading course

2nd term, 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


1st term, Year Four 700-level seminar or reading course
Math 799 Doctoral Research and Dissertation

2nd term, 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. 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).


1st term, Year One Math 610 Theoretical Foundations of Mathematics Education
** Math 520 Algebra I
** Math 530 Advanced Calculus I

2nd term, Year Two 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 or Research Tool or Elective Course


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


2nd term, Year Two Math 611 Introduction to Mathematics Education Research
Math 615 Using Microcomputers in Teaching Mathematics
Math 632 Complex Analysis

Summer 2007 Math 610A or B Topics in Mathematics Education

Summer, Year Two WRITTEN PH.D. QUALIFYING EXAMINATION


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

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

Summer, Year Three Math 799 Doctoral Research and Dissertation
Applications Involvement Component completed


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

2nd term, 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.


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Last modified: 08/19/2010 (zjy)