MATH 4700 Complex Analysis

Includes basic facts about the complex number system, limits and functions of a complex variable, power series and analytical functions, integration in the complex plane, singularities and residues, harmonic functions and boundary value problems.

Registration Name

Complex Analysis

Lecture Hours

3

Lab Hours

0

Credits

3

Prerequisite

MATH 2300, MATH 2470, and MATH 2470L

Offered

Demorest: Spring odd years

Student Learning Outcomes

Upon the completion of this course, students will be able to demonstrate the following outcome-based learning skills:

1. Effectively write mathematical solutions in a clear and concise manner. This will be assessed through class assignments and exams.
2. Effectively locate and use the information needed to prove theorems and establish mathematical results. This will be assessed through assignments and exams.
3. Demonstrate the ability to integrate knowledge and ideas of complex differentiation and complex integration in a coherent and meaningful manner and use appropriate techniques for solving related problems and for establishing theoretical results. This will be assessed through assignments and exams.
4. Demonstrate ability to think critically by proving mathematical conjectures and establishing theorems from complex analysis. This will be assessed through tests and a final exam.
5. Operate with complex numbers, use the complex derivatives function, use and operate analytic functions, demonstrate knowledge of integration in the complex plane, use the Cauchy integral theorem and Cauchy integral formula, manipulate and use power series.