Thomas G. J. Chandler

Instructor: Thomas G. J. Chandler
Course Website: To be announced
Course Syllabus: To be announced
Lectures: TR 9:30 AM – 10:45 AM (Gardner Hall 309)
Instructor Office Hours: To be announced

The algebra of complex numbers, elementary functions and their mapping properties, complex limits, power series, analytic functions, contour integrals, Cauchy's theorem and formulae, Laurent series and residue calculus, elementary conformal mapping and boundary value problems, Poisson integral formula for the disk and the half plane. Further details can be found on the course syllabus.

Textbook: This course will primarily follow Complex Variables and Application, 9th Edition, by James Ward Brown & Ruel V. Churchill. While the textbook Complex Variables: Introduction and Applications, 2nd Edition, by Mark J. Ablowitz & Athanassios S. Fokas, will be used as additional resource.

Software: MATLAB (MATrix LABoratory) will be used for several demonstrations. Learning and using MATLAB is recommended, but is not required for this course; however, assessed homework may require reading, understanding, and writing algorithms in MATLAB-like syntax. Alternatives to MATLAB (e.g. Python and Mathematica) may also be useful to students.

Other material: Handwritten class notes, MATLAB code, homework, and midterm solutions will be provided.