Math 401 - Complex Analysis - Fall 2012

 Week week of Sections Topics HW Problems Suggested Problems 1 17-Sep 1.1-5 Introduction to Complex Numbers 1. 3, 10, 12, 15, 16, 18. 1. 5, 7, 14, 19, 20. 2 24-Sep 2.1-3 Complex Functions 2. 2, 3, 5, 13, 14, 15, 23. 2. 4, 9, 11, 14, 18, 19. 3 1-Oct 3.1-2   4.1 Analytic Functions 3. 4, 7, 11, 14, 19, 21. 3. 3, 6, 15, 18, 20. 4 8-Oct 4.2             M1 Line Integrals 4. 2, 6, 9, 10, 12. 4. 3, 5, 11. 5 15-Oct 5.1-2 Entire Functions 5. 2, 5, 8, 10, 12. 5. 4, 9, 11, 16, 19. 6 22-Oct 6.1 Power Series Representations 7 29-Oct 6.2-3 Uniq., Mean Value, Max. Mod. 6. 2, 3, 6, 12, 14, 15. 6. 4, 8, 11, 13, 16. 8 5-Nov 7.1-2 Open Map., Schwarz Reflection 7. 3, 5, 8, 16, 20. 7. 4, 9, 12, 17, 18. 9 12-Nov 8.1        M2 Cauchy Theorem 10 19-Nov 8.2  9.1 Log Function, Isolated Sing. 8. 1, 8, 9.  9. 1, 4. 8. 3, 6.   9. 2, 5. 11 26-Nov 9.2  10.1 Laurent Expansion, Residue Th. 9. 9, 10, 11. 10. 1, 2. 9. 12, 14, 15.  10. 4 12 3-Dec 10.2  11.1 Contour Integrals 10. 7, 9, 10.  11. 1. 10. 8, 12.  11. 2. 13 10-Dec 11.1-2 Contour Integrals 11. 1, 3, 9, 13. 11. 4, 6, 8, 11. 14 17-Dec 12.1         M3 Contour Integrals 15 24-Dec 13.1 14.2 16.1 Conformal Maps, Riemann Map. Th., Harmonic Functions 13. 3, 10. 16. 1, 3, 7. 13. 5, 9. 16. 2, 4, 5.

Instructor: Baris Coskunuzer

Prerequisite: Math 301

Text:    Complex Analysis by Bak and Newman

Additional Text:   Schaum's Outline of Complex Variables

Grading Policy: 10% HW + 55% Midterms (4 midterms) + 35% Final

Attendance Policy: 75% attendance is required. 90% attendance means 5 bonus points.

Class Time: TTh 12:30-13:45 at ENG B20B

Office Hours: TTh 14:00-15:00

Teaching Assistant: Mehmet Oz

TA Office Hours: Monday 15:00 – 17:00 at SCI 156

HW:     HWs are due Tuesday class of the following week.

Collaboration is encouraged as long as everyone writes his own solution.

HW solutions: HW1   HW2   HW3  HW4  HW5  HW6  HW7  HW8  HW9  HW10

Exams:    Midterm 1     Midterm 2     Midterm 3     Midterm 4      Final