Textbook
J.Brown, R.Churchill, "Complex Variables and Applications", McGraw Hill, 8th ed.(2004)
 
Course Contents
These includes mainly
-- Complex numbers; Paths & domains on the complex plane; Elementary functions; 
-- Continuity and differentiation: Cauchy-Riemann equations, Analytic functions;
-- Integrals: On contours, Cauchy-Goursat Theorem, Cauchy integral formula;
-- Series: Taylor, Laurent,  uniform convergence;
-- Poles, residues, and applications;
-- Mappings: By elementary functions, Conformal mapping & applications;
-- Gamma and Zeta functions;
-- More applications: Dirichlet BVPs, Planar flow, Prime Number Theorem.

Homeworks and Class Participation (75%)
There will be six (6) regular homework assignments. 

Final Exam (25%)
Thu. May 9, 2024, 7:30-9:30am (as scheduled by the University).
This exam may be used as a QE for math students.

Makeups
We follow the rules set by the University.

Letter Grades
A: 90+;  B: 80-89;  C: 70-79;  D: 60-69;  F: 59-

COVID
We follow the University policies.

Supplementary Reading
[1] J.Bak, D.J.Newman, "Complex Analysis", Springer, 3rd ed., 2010. UTM.
[2] T.Needham, "Visual Complex Analysis (25th anniversary ed.)", Oxford University Press, 2023 (pbk).
[3] E.Stein, R.Shakarchi, "Complex Analysis",Princeton University Press.

Last modified by J.Liu on Wed. 2024/01/17