Description: An introduction to complex variables, beginning with the algebra and geometry of the complex number system. Topics include: complex functions; analytic functions; Cauchy's theorem and its consequences; Taylor and Laurent series; residue calculus; evaluation of real integrals and summation of series; conformal mapping.
Prerequisite: MAC 2313 (Calculus III) and MAP 2302 (Differential
Equations) or MAA 4211 (Advanced Calculus).
Text: Complex Variables and Applications, Seventh Edition,
by James Ward Brown and Ruel V. Churchill. (McGraw Hill, ISBN
0-07-287252-7).
Instructor: PHILIPPE RUKIMBIRA
Office hours and phone: DM 418A, TR 1530-1630, Ph: 305-348 2224
Material to be covered: Chapters 1--9.
Tests and quizzes:
Grades: Grades will be assigned on the basis of 400 points.
Grade-Score:
A---------------------------------360-400
A_--------------------------------340-360
B+--------------------------------320-340
B---------------------------------260-320
B_--------------------------------240-260
C+--------------------------------220-240
C---------------------------------160-220
C_--------------------------------140-160
D---------------------------------060-140
F---------------------------------000-060