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MATH 567. Advanced Calculus. I.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
This is a course in mathematical methods, aimed primarily at engineering and science graduate students. Can be used to meet requirements in Option B (Industrial/Applied Mathematics) of the M.S. program, or as an elective in other options. This course continues with Math 568 in the spring, which primarily covers complex variables and applications from an engineering mathematics perspective.

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 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 573. Graph Theory.

Credit Hours: 
3
Semester Offered: 
Comments From Graduate Director: 
Graph Theory is one of the areas represented in Discrete Mathematics, and has grown over the last thirty years to become an important area in both pure and applied mathematics (e.g. computer science, statistics, and operations research). We regularly offer doctoral-level courses in graph theory, for which this course would be prerequisite and Ph.D. students can make a minor area out of Math 573 and Math 773 or some other 700-level discrete math course. In the spring Math 573 follows with Math 571 Combinatorics, and taking both courses will provide a good background in discrete mathematics. Both courses are offered annually.

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.

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