Math 814 Complex Variables I
Mark Reeder
Fall 2007

Syllabus   

Homework assignments

I. (Due 9/14) p. 2 (do not turn in), p. 4: 1-3, p. 5: 1-5 (turn in 5,6 only), p. 10: 3,4 Solutions


II. (Due 9/28) p. 43: 1,4,6,13,15, p. 54 1, 3 (cos z only). Solutions
Also, for each of the following two functions: u(x,y)=x^3-3xy^2,   u(x,y)=x/(x^2+y^2),
a) find a harmonic conjugate v(x,y)
b) write the function u(x,y)+iv(x,y) in terms of z
c) sketch the level curves of u(x,y) and v(x,y).

III. (Due 10/12) p. 54: 9, 14, 18, 24, 25, 26 Solutions

IV. (Due 10/29) p. 74: 5, 6, 7, 9cd, 12, 13, 14. Solutions

Exam 1 with solutions

V. ( Due 12/3) p. 87: 6, 7 p. 96: 8a, 10, 11 p. 110: 1bchi, 5,13. Solutions

Final Exam with solutions