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Spring 2012

MATH 758. Theory of Partial Differential Equations 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Continuation of Math 757. The sequence Math 757-758 is offered in alternate years, with Math 751-752 Functional Analysis.

MATH 681. Topology 2.

Credit Hours: 
3
Semester Offered: 

MATH 651. Real Variables 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Continuation of Math 551. This is a basic graduate two-semester course (551/651) in real analysis. Real analysis is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams and the full-year sequence should be taken if preparing for the exam. Math 651 is recommended particularly for students intending to take the doctoral sequence in functional analysis and other doctoral-level courses in analysis and applied mathematics. However, the material is basic for anyone planning to teach upper level mathematics at the college level.

MATH 645. Number Theory 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
A continuation of Math 545. The sequence Math 545-645 is course is offered about every other year and provides a graduate-level introduction to Number Theory.

MATH 641. Modern Algebra 2.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Continuation of Math 541. This is the basic graduate sequence in algebra. Note that algebra is one of the areas of the M.S. Advanced Exams/Ph.D. entrance exams. Math 541 follows in the spring with a second semester, Math 641, and both courses are needed if you are taking the exam. Math 541-641 is a basic prerequisite for advanced courses in combinatorics, graph theory, and number theory. It is a popular course for first year M.S. students and for first year Ph.D. students who expect to take the Entrance Exam in that area.

MATH 578. Applied Discrete Mathematics.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course is the same as Math 373, Introduction to Cryptography, except there are additional requirements for graduate students to correspond to the graduate level number. It is a useful elective for graduate students interested in discrete mathematics. Some undergraduate background in modern algebra and linear algebra is needed. See Professor Lai for more information on course coverage and requirements.

MATH 571. Combinatorial Analysis 1.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Several faculty in the department have research interests in combinatorics, and this course provides needed introductory background. Along with Graph Theory, Math 573, the two courses make an excellent “Introduction to Discrete Mathematics” an area of current interest in mathematics and applications, and a focus of department research.

MATH 568. Advanced Calculus. II.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This course continues from Math 567, and can be used to meet the requirements of Option B in the M.S. program. The spring semester usually concentrates on complex variables – see the instructor for details.

MATH 564. Intermediate Diff Equations.

Credit Hours: 
3
Semester Offered: 

MATH 543. Linear Algebra.

Credit Hours: 
3
Semester Offered: 

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