Syllabus for Math 207

Fall 2010

Title of the Course: Complex Algebra and Calculus

Instructor: Varga Kalantarov

Lecture: Monday 11:00 -12:15 Wednesday 11:00 – 12:15

Textbooks:

1. Main Text: " Fundamentals of Complex Analysis", E.B. Saff and A.D.Snider, Third Edition (Pearson Education Int., 2003)

2. Supplementary Texts: "Linear Algebra", J. B. Fraleigh and R. A. Beauregard (Addison-Wesley, Reading Massachusetts, 1995); "Complex Variables ", S. D. Fisher (Dover, New York, 1999); and "Complex Variables and Applications", R.V. Churchill and J. W. Brown (McGraw--Hill, New York, 1984).

Topics to be covered:

1. Algebra of complex numbers (Chapter 1 of Saff &Snider)

2. Functions of complex variable. Limit and continuity (Chapter 2 of Saff &Snider)

3. Analytic Functions (Chapter 2 of Saff &Snider)

4. Elementary functions (Chapter 3 of Saff &Snider)

5. Complex integration. Cauchy’s Integral formula (Chapter 4 of Saff &Snider)

6. Taylor and Laurent series. Zeros and singularities (Chapter 5 of Saff &Snider)

7. Residue theorem and applications (Chapter 6 of Saff &Snider)

8. Fourier and Laplace transform (Chapter 8 of Saff &Snider)

9. Elements of complex linear algebra. (Chapter 9 of Fraleigh &Beauregard)

Attendance: Students are strongly advised to attend all the lectures and PSs.

Requirements from the students auditing this course: In order to get an AU in this course, you must not miss more than 5 lectures.

Suggested Method of Study: You are advised to study the material covered in class immediately after the lectures. Reading

the lecture notes and the book is necessary for grasping the subject, but it is by no means sufficient. You must try to reproduce

the results derived in class and apply the computational techniques to other problems on your own. You must spend an average

of six hours per week on studying the material covered in class in addition to the time you would spend on doing the suggested exercises.

Website: http://home.ku.edu.tr/~vkalantarov/math207/

Evaluation method and make-ups: Evaluation method: Your progress will be evaluated according to your performance in the

quizzes (Q), midterm (MT) and final (F) exams. There will be several quizzes and two midterm exams (MT1&MT2). Your final grade (G)

will be computed according to the formula:

G = 20 % Q + 20 % ( MT1+MT2) + 40 % F.

Midterm I will take place on April 16 and Midterm II on May 25.

The date and the time for the final exam will be announced later.

There will be no make-up quizzes or midterm exams. If you miss one or more quiz(zes) or midterm exam(s) and have a valid medical report

or an excuse accepted by the Dean’s office, your score in the final exam will substitute for that of the quiz or exam that you miss.

There will be a make-up for the final exam for those who have a valid excuse for not taking this exam.

Academic Honesty: Koç University expects all of the students to be honest and in the present context, academically honest.

Please note that failure in this respect has severe consequences. Please read the KU catalog, p 37.