Semester. 2011-2012 Spring

Instructor. Seçil Gergün

Room.  Faculty of Art and Sciences R-226
Phone. +903122331431
e-mail. gergun@cankaya.edu.tr
web. http://mcs.cankaya.edu.tr/~gergun

Schedule. Monday. 09:40-11:30 (RA03); Tuesday. 12:40-15:30 (RB03)

Office Hours. Tuesday. 10:40-11:30; Wednesday. 10:40-11:30

Catalog Description. Basic properties of the complex numbers. Complex functions and linear mappings of regions in the complex plane. Limits and continuity. Branches of functions. Differentiable and analytic functions. Harmonic functions. Elementary functions. Contours and contour integrals. The Cauchy-Goursat theorem. Cauchy integral formula and its extensions. Taylor and Laurent series representations. Singularities, zeros, and poles. The residue theorem and its applications to evaluation of trigonometric and improper integrals. The argument principle and Rouché’s theorem. 

Textbook.

• J.H. Mathews and  R.W. Howell, Complex Analysis for Mathematics and Engineering, 5th ed., Jones and Bartlett, 2006

Reference Books.

• R. V. Churchill and J. W. Brown, Complex Variables and Applications, 7th ed., McGraw-Hill, 2003.
• J. Bak and D.J. Newman, Complex Analysis, 2nd ed., Springer, 1999.

Evaluation Criteria. Two midterm examinations (30% each), one final examination (40%).