Math 206
Complex Calculus and Transformation Techniques
solutions

NEW  Grades  NEW

Lecture Notes on Laplace and z-Transforms
Version: 25 April, 2002
Final Form!

Instructor:  Ali Sinan Sertöz
Department of Mathematics
Faculty of Science
Room: SA-121, Phone: 1490

New Office Hours for the last week: I will be out of Ankara between 22-26 May. The office hour of 22 May is cancelled. Instead I will hold office hours between 10:00 and 12:00 on May 27 and 28 before the exam.

Asisstant: Umut Yardımcı
Department of Mathematics
Faculty of Science
Room: SA-144, Phone: 2131, email: yardimci@fen.bilkent.edu.tr

Text: Complex Variables and Applications,
           J. W. Brown & R. V. Churchill
           McGraw-Hill

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	08:40-10:30	BZ-08	Section-01
TUESDAY	10:40-11:30	EB-167	Section-02
WEDNESDAY	13:40-15:30	SA-121	Office Hour
THURSDAY	09:40-10:30	BZ-08	Section-01
THURSDAY	10:40-12:30	EB-167	Section-02

         

Grading:

Quizzes:     20% (there will be 5 quizzes, best 4 will be counted)
Midterm1:  25%  March 16, 2002, Saturday
Midterm2:  25%  April 27, 2002, Saturday
Final:          30% May 29, 2002 Wednesday

Solutions (as PDF files)
Quiz-1
Quiz-2
Quiz-3
Quiz-4
Quiz-5
Midterm-1
Midterm-2
Final