FINAL EXAMINATION

The final examination will be on December 11, from 9:00am-12:00.
You should bring your photo ID to the examination centre. It's
a close-book examination, and no calculators are allowed

To prepare for the examination, you should review the lecture 
notes and corresponding sections in the book, pay special 
attention to the examples we did in the class. And you should 
also go through the problems in the assignment and practice 
problems.

The followings are important topics you should know: 
Cauchy-Riemann equations, 
harmonic fuctions and harmonic conjugates, Cauchy-Goursat theorem, 
Cauchy integral formaulas, Maximum Moduli theorem, 
Taylor and Laurent series (and manipulations of power series), 
three type of isolated singularities, calculus of residues, 
Residue theorem and its applications to: 
improper integrals and inverse Laplace transform,
linear fractional transformations as confirmal mappings, 
and applications to finding harmonic functions with boundary value
problem (e.g., like electrostatic potentials and temperature 
distributions). 

The corresponding sections in the textbook:
Sections 17,20, 22, 36, 39-40, 42, 44-47, 51, 53-57, 60-64,
66-67, 70-72, 81-82, 84-89.




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