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General Course Description & Content
Theory of functions of a complex variable with applications: Differentiation and integration of complex-valued functions of a complex variable, series, mappings, residues, and evaluation of improper real integrals. Skill in vector analysis may be helpful in taking this course.
Textbook (Choose ONE for Reference)
Murray R. Spiegel et al., Schaum's Outlines: Complex Variables, 2nd Edition
James Ward Brown and Ruel V. Churchill, Complex Variables and Applications, 8th or 9th Edition
Course Structure
We will have weekly assignments, three in-class exams, and a final exam. The course grade will be determined according to the following distribution:
Homework - 150 Points (30%)
3 Exams - 75 Points Each (15% each)
Final Exam - 125 Points (25%)
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Total: 500 Points (100%)
Homework
Homework problems will come from the two recommended textbooks listed. You are strongly encouraged to collaborate with other students on the homework. However, you must hand in each solution in your own handwriting and in your own words.
Selected Readings (from Schaum's Outline: Complex Variables)
Classification of Singularities
Further Reading: Chapter 9: Physical Applications of Conformal Mapping
Exams
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