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## MATH 4270 COMPLEX ANALYSIS (3 credits)

This course is an introduction to the theory of functions of a complex variable, a fundamental area of mathematics with multiple applications to science and engineering. Topics include the field of complex numbers, complex differentiation, the complex contour integral and Cauchy's integral formula, Taylor expansions and analytic functions, conformal mapping and Riemann's conformal equivalence theorem, residue theory and Laurent series, harmonic functions, and applications. (Cross-listed with MATH 8276).

**Prerequisite(s)/Corequisite(s):** MATH 3230/MATH 8235 or permission of the instructor.

## Mathematics, MS

http://catalog.unomaha.edu/graduate/degree-programs-certificates-minors/mathematics/mathematics-ms/

Provide a strong program of course work in mathematics beyond the undergraduate level and Be flexible enough to accommodate a wide variety of student interests and backgrounds. There are no required courses in the program, but students are strongly encouraged to develop an emphasis in the courses which make up their individual plan of study; such an emphasis provides both focus and depth in the graduate experience.

## Mathematics, MA

http://catalog.unomaha.edu/graduate/degree-programs-certificates-minors/mathematics/mathematics-ma/

Provide a strong program of course work in mathematics beyond the undergraduate level and Be flexible enough to accommodate a wide variety of student interests and backgrounds. There are no required courses in the program, but students are strongly encouraged to develop an emphasis in the courses which make up their individual plan of study; such an emphasis provides both focus and depth in the graduate experience.