Math 351

Complex Analysis I’

Final Exam

 Date: 08.08.2008

 Time: 09: 00

PLACE:  B-417/418

Math 351

Summer 2008

Midterm 1

Date: 14.07.2008 (monday)

Time: 10.00

PLACE: B-313

1. Sums and Products

2. Basic Algebraic Properties

3. Further Properties

4. Moduli

5. Complex Conjugates

6. Exponential Form

7. Products and Quotients in Exponential Form

8. Roots of Complex Numbers

9. Examples

10. Regions in the Complex Plane

11. Functions of a Complex Variable

12. Mappings

13. Mappings by the Exponential Functions

14. Limits

15. Theorems On Limits

16. Limits Involving the point at Infinity

17. Continuity

18. Derivatives

19. Differentiation Formulas

20. Cauchy-Riemann Equations

21. Sufficient Conditions for Differentiability

22. Polar Coordinates

23. Analytic Functions

24. Examples

25. Harmonic Functions

28. The Exponential Function

29.  The Logarithmic Function