Math 206-Spring 2003
Complex Calculus and Transformation Techniques
solutions

Grades

Lecture Notes on Laplace and z-Transforms
Version: 11 April, 2003
corrections
Last entry on 29 April 2003

Instructor:  Ali Sinan Sertöz
Department of Mathematics
Faculty of Science
Room: SA-121, Phone: 1490
Office Hours: Tuesday 13:40-15:30

Assistant: Duru Türkoğlu
Department of Mathematics
Faculty of Science
Room: SA-144, Phone: 2131, email: turkoglu@fen.bilkent.edu.tr

Text: Complex Variables and Applications,
           J. W. Brown & R. V. Churchill
           McGraw-Hill
           Sixth Edition, 1996 (older editions will also do but check for any change in section and problem numberings.)

Topics:

• Complex numbers and roots
• Functions of a complex variable, limits, continuity, derivative
• Complex analytic functions, Cauchy-Riemann conditions
• Elementary functions
• Complex integration and Cauchy integral formula
• Power series of analytic functions
• Residues and poles and applications to real improper integrals
• Laplace transform techniques in solving LDE with constant coefficients
• z-transform techniques
• Mappings by elemantary functions
• Conformal mappings and some applications

A detailed syllabus is available in Acrobat format.

Schedule: 

TUESDAY	10:40-12:30	EB-201	Section-01
TUESDAY	13:40-15:30	SA-121	Office Hour
TUESDAY	15:40-17:30	B-206	Section-02
THURSDAY	10:40-11:30	EB-201	Section-01
THURSDAY	16:40-17:30	B-206	Section-02

         

Grading:

Quizzes:     20% (there will be 5 quizzes, best 4 will be counted)
Midterm1:  25%  March 22, 2003, Saturday, Time: 10:00, Duration: 2 hours
Midterm2:  25%  May 3, 2003, Saturday, Time: 10:00, Duration: 2 hours
Final:          30% May 30, 2003, Friday, Time: 9:00, Duration: 2 hours
Makeup Exam: 2 June 2003,  Monday, Time: 15:00, Duration: 2 hours. Medical report holders only.

Solutions of last year's quizzes and exams (as PDF files)
Quiz-1 , Quiz-2 , Quiz-3 , Quiz-4 , Quiz-5
Midterm-1, Midterm-2, Final

Quiz-1   Quiz-2    Quiz-3  Quiz-4  Quiz-5   Midterm-1   Midterm-2   Final