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 uptodate 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 
Pure Mathematics or Applied Mathematics Focus
(This 4year program assumes a strong entering background, including a oneyear 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 
600level elective  
700level seminar


Year Two  WRITTEN PH.D. QUALIFYING EXAMINATION




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


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


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


Year Three  ORAL PH.D. CANDIDACY EXAMINATION  


1st term, Year Four  700level 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 4year program assumes a strong entering background, including a oneyear 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)  
700level seminar or reading course  
700level seminar or reading course


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


Summer, Year Three  ORAL PH.D. CANDIDACY EXAMINATION  
Math 799 Doctoral Research and Dissertation




1st term, Year Four  700level 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 4year schedule for this degree is given below. Special schedules may be designed to fit the needs of parttime 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 69  
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  700level 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)