Sample Master's Degree Programs of Study
The following pages provide examples of programs of study
in the 4 specializations for the M.S. in mathematics (10 courses, 30 hours).
Many other combinations of courses are possible.
The sequences below are suggested for fulltime graduate students.
Parttime graduate students should consult with an adviser
for an appropriate schedule. Your adviser
will have uptodate information on the semesters when particular courses
are normally offered.
See the NIU Graduate Catalog for
course
descriptions (scroll down to Mathematical Sciences)
and detailed information on degree requirements.
Average Background  Strong Background  


1st term, Year One  MATH 520* Algebra I  1st term, Year One  MATH 630 Real Analysis I  
MATH 530* Advanced Calculus I  MATH 636 Ordinary Differential Equations I  
Computer Science 230* FORTRAN  MATH 662 Numerical Analysis  
2nd term, Year One  MATH 523 Linear and Multilinear Algebra  2nd term, Year Two  MATH 523 Linear and Multilinear Algebra  
MATH 531 Advanced Calculus II  MATH 632 Complex Analysis  
Elective  MATH 642 Partial Differential Equations I  


1st term, Year Two  MATH 630 Real Analysis I  1st term, Year Two  MATH 620 Algebraic Structures I  
MATH 636 Ordinary Differential Equations I  MATH 631 Functional Analysis  
MATH 662 Numerical Analysis  MATH 640 Applied Mathematics  
2nd term, Year Two  MATH 632 Complex Analysis  2nd term, Year Two  Electives (621, 664, 666, 684, or 700 level)  
MATH 642 Partial Differential Equations (or MATH 542)  
Elective (664, 666, or 684)  
Year Two  M.S. Written Comprehensive Examination on Analysis and Differential Equations ** 
Average Background  Strong Background  


1st term, Year One  MATH 520* Algebra I  1st term Year One  MATH 630 Real Analysis I 
MATH 530* Advanced Calculus I  MATH 662 Numerical Analysis  
MATH 534 Numerical Linear Algebra  MATH 668 Nonlinear Programming  
2nd term, Year Two  MATH 523 Linear and Multilinear Algebra  2nd term, Year Two  MATH 523 Linear and Multilinear Algebra 
MATH 531 Advanced Calculus II  MATH 664 Numerical Linear Algebra  
MATH 535 Numerical Analysis  MATH 666 Numerical Differential Equations  


1st term, Year Two  MATH 630 Real Analysis I  1st term, Year Two  MATH 631 Functional Analysis 
MATH 636 Ordinary Differential Equations I  MATH 636 Ordinary Differential Equations I  
MATH 668 Nonlinear Programming  Elective  
2nd term, Year Two  MATH 664 Numerical Linear Algebra  2nd term, Year Two  MATH 632 Complex Analysis 
MATH 666 Numerical Differential Equations  Elective  
Elective  Elective  
Year Two  M.S. Written Comprehensive Examination on Analysis and Numerical Mathematics ** 
Average Background  Strong Background  


1st term, Year One  MATH 520* Algebra I  1st term, Year One  MATH 610 Theoretical Foundations of Mathematics Education 
MATH 530* Advanced Calculus I  MATH 613 Teaching of Algebra  
MATH 610 Theoretical Foundations of Mathematics Education  MATH 620 Algebraic Structures I  
2nd term, Year One  MATH 521 Algebra II  2nd term, Year One  MATH 523 Linear and Multilinear Algebra 
MATH 531 Advanced Calculus II  MATH 531 Advanced Calculus II  
MATH 614 Teaching of Geometry  MATH 614 Teaching of Geometry  


1st term, Year Two  MATH 480 Number Theory  1st term, Year Two  Stat 573/573A Statistical Methods and Models I 
MATH 613 Teaching of Algebra  MATH 630 Real Analysis I  
MATH 620 Algebraic Structures I (or MATH 630 Real Analysis I)  Graduate course in a related discipline such as education, psychology ... with consent of the adviser.  
2nd term, Year Two  STAT 573/573A Statistical Methods and Models I (or MATH 632 Complex Analysis)  2nd term, Year Two  MATH 611 Introduction to Mathematics Education Research 
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 adviser.  Graduate course in a related discipline such as education, psychology ... with consent of the adviser. 
Average Background  Strong Background  


1st term, Year One  MATH 520* Algebra I  1st term, Year One  MATH 620 Algebraic Structures I 
MATH 530* Advanced Calculus I  MATH 630 Real Analysis I  
MATH 534 Numerical Linear Algebra  MATH 636 Ordinary Differential Equations I  
2nd term, Year One  MATH 521 Algebra  2nd term, Year One  MATH 621 Algebraic Structures II 
MATH 523 Linear and Multilinear Algebra  MATH 632 Complex Analysis  
MATH 531 Advanced Calculus II  MATH 650 Topology  


1st term, Year Two  MATH 620 Algebraic Structures I  1st term, Year Two  MATH 631 Functional Analysis 
MATH 630 Real Analysis I  MATH 662 Numerical Analysis  
MATH 636 Ordinary Differential Equations I  Elective  
2nd term, Year Two  MATH 535 Numerical Analysis  2nd term, Year Two  Elective 
MATH 632 Complex Analysis  Elective  
MATH 650 Topology or MATH 521 Algebraic Structures II  Elective 
Notes for sample master's programs (Items IIV):
(*) 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.