Fall2011

791 A-Z. Advanced Topics. I, II. S.

Credit Hours: 
variable hours
Course Level: 
700
Prerequisites: 
Consent.
Catalog Description: 
Investigation of advanced topics not covered in regularly scheduled courses.
Semester Offered: 
Fall2011
Instructor E-mail: 
Professor Sealey
Comments From Graduate Director: 
The fourth course in a sequence concerning research in undergraduate mathematics education.

783. Set Theory and Applications.

Credit Hours: 
3
Course Level: 
700
Prerequisites: 
MATH 683.
Catalog Description: 
The course elaborates on the applications of the transfinite induction, and combines recursion methods with other elements of modern set theory, including the use of additional axioms of set theory, introduction to the forcing method.
Semester Offered: 
Fall2011
Instructor E-mail: 
Professor Wojciechowski
Comments From Graduate Director: 
A continuation from Math 683 Set Theory, offered in Spring 2011. See the instructor for more information.

757. Theory of Partial Differential Equations 1.

Credit Hours: 
3
Course Level: 
700
Prerequisites: 
MATH 452.
Catalog Description: 
Cauchy-Kowaleski theorem, Cauchy‚s problem, the Dirichlet and Neumann problems, Dirichlet‚s principle, potential theory, integral equations, eigenvalue problems, numerical methods.
Semester Offered: 
Fall2011
Instructor E-mail: 
Professor Tudorascu
Comments From Graduate Director: 
This course is offered in alternate years, alternating with Math 751 Functional Analysis. It is intended to be followed in the spring with Math 758 and so would be suitable for either a minor sequence or as part of a major area in differential equations for Ph.D. students. Some background in differential equations and analysis is needed.

691 A-Z. Advanced Topics.

Credit Hours: 
variable hours
Course Level: 
600
Prerequisites: 
Consent.
Catalog Description: 
Investigation of advanced topics not covered in regularly scheduled courses.
Semester Offered: 
Fall2011
Instructor E-mail: 
Professor Deshler
Comments From Graduate Director: 
The is the first course in a planned series of four courses covering research in undergraduate mathematics education that is expected ultimately to form the basis of a specialization area in our Ph.D. program. For now M.S. students can include this as an elective in their course work and the course is open to M.S. or Ph.D. students, preferably those with the maturity of at least a year of graduate level work. To register, students need to have at least one semester of classroom teaching experience, although not necessarily as the primary instructor for the course.

545. Number Theory 1.

Credit Hours: 
3
Course Level: 
500
Prerequisites: 
MATH 155 or MATH 156.
Catalog Description: 
Introduction to classical number theory covering such topics as divisibility, the Euclidean algorithm, Diophantine equations, congruences, primitive roots, quadratic residues, number-theoretic functions, distribution of primes, irrationals, and combinatorial methods. Special numbers such as those of Bernoulli, Euler, and Stirling.
Course website link: 
http://www.math.wvu.edu/~mays/545/545.htm
Semester Offered: 
Fall2011
Instructor E-mail: 
Professor Mays
Comments From Graduate Director: 
This course is offered about every other year and provides a graduate-level introduction to Number Theory. There is usually a second semester of Number Theory, Math 645, offered in the spring.
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