# TMA 4175 - Complex Analysis - Spring 2015

- Here you can find solutions to the previous exam:berit_losningsforslag.pdf

- Announcements NOTICE EXAM IS CODE A

- Assignment. Large Project 1. can be found here berit.pdf

- Assignment. Project 2. can be found here:project_2_-_problems.pdf

- Answers to Project 1 can be found here:answers.pdf

- Solutions to Project 1 can be found here:solution_pro_1.pdf

- Solutions Project 2 can be found here:project_2_solutions.pdf

Instructor:

Berit Stensønes - beritste [at] math [dot] ntnu [dot] no, Room 950 Sentralbygg II Lectures and exercises

- Lectures: Thursday 8:15-10:00 MA24 Friday 10:15-12:00 MA24
- Exercise sessions:
- Office hours: Wendesday, 13:00-14:00

Course material Exam syllabus

Lars V. Ahlfors. Complex Analysis, 3rd edition. The book can be found on amazon.co.uk

Material to be covered:

Chapter 1 and Chapter 2, section 1 is independent reading.

Chapter 3

Chapter 4

Chapter 2, Section 2

Chapter 5

Chapter 6, Section 1-3

Chapter 8, Section 1

Progress plans:
Week 10:
We shall do two more cares of residue calculations.
Next we shall start talking about harmonic functions including the Poisson kernel.
Week 11:
We did not get to harmonic functions in week 10. We will cover as much as possible of this subject in week 11. I will also expand the section on the Poisson formula in the book.If you can not attend the lectures on this subject you should try to get notes fro fellow students
Review problems from Chapter 1 and Chapter 2, Section 1,
to be discussed in class.

Chapter 1:

Section 1:

1.3, #2

1.4, #4

1.5, #4

Section 2:

2.2, #3

Chapter 2:

Section 1:

1.2, #5,7

New Problems:
From the book:
Page 78. 1,3,4
Page 80: 1
Page 83: 2
Page 108 : 3,6,8
We will discuss these problem on Friday Feb. 13

Pratice problems: Page 123: 1,2 ,3 Page 130: 2 Page 136 : 1,2,3,5 Page 154 :1,2 There will be two projects.

Pratice problems: Page 161. Problem 3 a,c,e,g Page 171: Problem 6 and Problem 7

The first project will be handed out Friday February 13, due Friday February 20 The second project will be handed out Friday March 20, due Friday March 27.

Final exam is May 28, 09:00-13:00.