Mathopo

Home Schedule Lect. Notes Homework About Pierre

Lecture Notes

The lecture notes are based on the book Complex Analysis with Applications by N. H. ASmar and L. Grafakos. We will be covering the following chapters from the textbook. The chapter's numbers are coming from the textbook numbering of the chapters:

Chapter 1: Complex Numbers and Functions.
Chapter 2: Analytic Functions.
Chapter 3: Complex Integration.
Chapter 4: Series of Analytic Functions and Singularities.
Chapter 5: Residue Theory.
Chapter 7: Conformal Mappings. (Not available)

You will find in the tables below the lecture notes written after each lecture.

Chapter 1

In the table below, you will find the practice problems. These are assigned to you to do in preparation to the midterms and final exams.

Chapter 1
Section No.	Documents (PDF)	Practice Problems	Solutions
1.1		3, 5, 10, 11, 12, 18.
1.2		1, 6, 12, 13, 14, 15, 18, 21, 39.
1.3		3, 6, 10, 11 14, 19, 21, 25a, 40, 41, 45, 57, 58.
1.4		3, 15, 19, 32, 39.
1.5		1, 3, 6, 11, 12, 18, 22, 32, 42.
1.6		10, 15b, 16b, 17, 28.
1.7		2a, 2b, 3, 10, 24, 29, 40.
1.8		4, 6, 14, 18, 19, 20, 30, 31.

Chapter 2

In the table below, you will find the practice problems. These are assigned to you to do in preparation to the midterms and final exams.

Chapter 2
Section No.	Documents (PDF)	Practice Problems	Solutions
2.1		8, 9, 12, 15, 16, 17, 20b.
2.2		1, 4, 6, 9(hard), 11, 12, 13, 15, 18, 19, 23, 25, 26, 31, 33, 35, 36.
2.3		1, 3, 10, 13, 15.
2.5		3, 5, 6, 12, 33, 34.

Chapter 3

In the table below, you will find the practice problems. These are assigned to you to do in preparation to the midterms and final exams.

Chapter 3
Section No.	Documents (PDF)	Practice Problems	Solutions
3.1		1, 3, 5, 6, 9, 11, 12, 14, 19, 22, 24.
3.2		2, 3, 5, 13, 14, 17, 22, 27, 31.
3.3		16, 17, 19, 22.
3.4		8, 10.
3.8		1, 2, 3, 5, 7, 9, 11, 30.

Chapter 4

In the table below, you will find the practice problems. These are assigned to you to do in preparation to the midterms and final exams.

Chapter 4
Section No.	Documents (PDF)	Practice Problems	Solutions
4.1		9, 11, 13, 14, 16, 18, 20.
4.4		1, 2, 3, 5, 6, 13, 19, 23, 25, 26.
4.5		1, 3, 18, 22.

Chapter 5

In the table below, you will find the practice problems. These are assigned to you to do in preparation to the midterms and final exams.

Chapter 5
Section No.	Documents (PDF)	Practice Problems	Solutions
5.1		1, 3, 7, 13, 18, 26.
5.2		2, 4, 5.
5.6		1, 2, 5, 7.