Introduction to Complex Variables

Math 4200, Fall 2010 (http://www.math.utah.edu/~docampo/math4200)

Instructor — Roi Docampo Álvarez (docampo@math.utah.edu)

Meeting — MWF 11:50-12:40, JTB 120.

Office Hours — MW 10:40-11:40 or by appointment, LCB 116.

Textbook — "Basic Complex Analysis", by J. E. Marsden and M. J. Hoffman, W. H. Freeman, Third Edition.

Course Description — We will cover chapters 1 to 6 of the textbook. Main topics: complex functions and their differentiability, complex integrals, power series, the Cauchy theorem and formulas, residues and applications to evaluating integrals, conformal mappings and applications.

Grading — There will be weekly homework assignments, two in-class midterms, and a comprehensive final exam. The homework will count for 30% of the grade, each of the midterms for 20%, and the final exam for 30%.

Midterms and Final — Exams take place in JTB 120.

First midtermOct. 8, 11:50am to 12:40pm
Second midtermDec. 1, 11:50am to 12:40pm
FinalDec. 13, 10:30am to 12:30pm

Homework Assignments — Weekly assignments and their due dates will be posted on the website. Homework must be turned in at the beginning of class. Late homework is not accepted.

Due Date Assignment
Sept. 1 Section 1.1: 4, 6, 10, 16, 18
Section 1.2: 2, 8, 10, 18, 28
Section 1.3: 2, 4, 24, 28, 30
Sept. 8 Section 1.3: 6, 8, 12, 18, 22
Sept. 15 Section 1.4: 4, 12, 14, 16, 18
Section 1.5: 2, 8, 10, 13, 14
15, 17, 24, 28, 30
Sept. 22 Section 1.6: 2, 4, 8, 14
Section 1.R: 2, 8, 13, 17
Section 2.1: 2, 5, 8, 10, 13
Oct. 1 Section 2.2: 1, 2, 6, 8, 10
Section 2.3: 2, 7, 8, 9, 10
Oct. 18 Section 2.4: 2, 3, 4, 6, 13
14, 16, 17, 19, 20
Oct. 27 Section 2.5: 2, 6, 10, 16, 18
Nov. 10 Section 3.1: 4, 7, 8, 12, 14
Nov. 12 Section 3.2: 2, 6, 16, 18, 25
Section 3.3: 1, 4, 9, 16, 19
Nov. 19 Section 4.1: 2, 8, 9, 13
Nov. 29 Section 4.2: 3, 4, 8, 9, 10
Section 4.3: 1, 2, 5, 9, 10
16, 17, 20, 23, 24
Section 5.2: 2, 4, 6, 8, 11
12, 20, 22

Downloads — Here are some files that you might find useful.

Solution for problem §1.2 #28: sec1.2-num28.pdf.

Study guide for midterm 1: studyguide1.pdf.

Study guide for midterm 2: studyguide2.pdf.