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WELCOME TO MAT 342
Applied Complex Analysis
Spring 2009
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All homework has been graded and is can
be picked up at my office.
D. Ebin
Introduction: This is a mathematically rigorous
course and most statements will come with complete proofs. Topics
covered will include properties of complex numbers, analytic functions
with examples, contour integrals, the Cauchy integral formula, the
fundamental theorem of algebra, power series and Laurant series,
residues and poles with applications, conformal mappings with
applications and other topics if time permits.
Text Book: Complex Variables and Applications by James
Ward Brown and Ruel V. Churchill, eighth edition, McGraw-Hill, 2009
Office hours: Tuesday,
Thursday, 11:15am-12:15pm or by appointment
Office Hours: Wednesday
1:00-3:00pm in 2-104, 7:00-9:00pm in the Math Learning Center
Grading Policy: The overall numerical grade will be
computed by the formula
20% Homework + 30 % Midterm Exam+ 50% Final Exam
Homework:
Homework will be assigned every week.
Doing the homework is a fundamental part of the
course work.
1st assignment: Page 5,
Prob. 2,5; page 12, prob. 2,4; page 14, prob. 2ab, 7, 13, 14;
page 22, problems 8, 9 Due Feb. 5
2nd assignment: Page 30,
Probs. 3a, 5, 7, 8a; Page 33, probs. 1,4,5,6,8,10 Due
Feb. 12
3rd assignment: page 37, Probs.
1c,d Prob. 3 with f(z) = x^3 - 3xy^2
+(3x^2 y -y^3)i, Page 44, probs. 1,2,3,4,7 Due Feb. 24
4th assignment: page 55,
probs. 1, 4, 5, 9 ,11, 13; page 62, probs. 3, 4,
9 Due March 3
5th assignment: page 71, probs.
2ab, 8, 10; page 77, probs. 1bd, 5, 7 Due March 10
6th assignment: page 81,
probs. 2, 5, 6, 7; page 92, prob. 13; page 97, probs. 4, 11; page
108, probs. 3, 8, 10 Due March 24
7th assignment: page 121, prob.
3; page 125, probs. 2, 4, 6; page 135, probs. 8, 9,; page 140, probs.
2, 5, 7, 8 Due March 31
8th assignment: page 149,
prob. 5; page 160, probs. 1abc, 3, 4, 7; page 170, probs. 3, 4, 7, 8
Due April 14
9th assignment: page 179,
prob. 1, 3; page 188, prob. 4, 9a; page 195, prob. 1, 7, 8, 10, 11,
13 Due April 21
10th assignment: page 205,
probs. 6, 8, 9, 11; page 219, probs. 1, 4, 5, 6, 8,
11
Due April 28
11th assignment: page 225,
probs. 1, 3, 7 8; page 239, probs. 4, 5, 6; page 243, probs. 1abc, 3,
4, 5 Due May 5
Midterm Exam: Thursday, March 12,
in
class
MIDTERM EXAM REVIEW: Exam
Review
Final Exam: Tuesday May 19,
8:00am-10:30am
in the classroom, P-131.
FINAL EXAM REVIEW: Exam
Review
N. B. Use of calculators is not permitted in any
of the
examiniations.
Special Needs: If you have a
physical, psychological, medical or learning disability that may impact
on your ability to carry out assigned course work, I would urge you to
contact the staff in the Disabled Student Services office (DDS), Room
113, humanities, 632-6748/TTD. DSS will review your concerns and
determine, with you, what accommodations are necessary and
appropriate. All information and documentation of disabilities is
confidential.