**4520.001 and
5400.001, Fall 2006**

**Functions of One Complex Variable**

**Conley**

the University of North Texas. |

**Instructor:** Charles Conley, GAB
419,
(940)
565-3326

**Office Hours:** See my home page

**Class:** MWF 10-10:50, GAB 406

**Exams, Homework, and Grading:** There will be
two 100 point
midterms, a
comprehensive
180 point final, eleven
weekly 10 point problem sets, and two 5 point problem sets (the first
week and Thanksgiving
week). Graduate students enrolled in 5400 will be given some extra weekly problem sets.

**Text and Prerequisites: **The text is *Complex
Analysis for Mathematics and Engineering* (fifth edition), by
Mathews and Howell. The prerequisites are Math 1710-20 and
2730,
the calculus sequence.

Final Exam: Wednesday, Dec.
13, 8:00-10:00

Problem Set 13, due Friday, December 8 (note: the 4520 graded problems will be drawn from those numbered 2 and 4):

Section 8.2: 2, 4, 6, 8Section 8.3: 2, 4, 6, 8

Section 8.4: 2, 4, 6, 8

5400 Problems: 8.2.16, 8.3.14, 8.4.12

Problem Set 12, due Friday, December 1:

Section 7.3: 1, 3-5, 8, 12Section 7.4: 1bdfhk, 2acfgj, 5, 6

Section 8.1: 1adefhij, 3

5400 Problems: 7.3: 10, 11; 7.4: 4, 8; 8.1: 2, 4

Problem Set 11, due Wednesday, November 22 (half-length: worth only 5 points):

Section 6.6: 5, 6, 10Section 7.2: 1c, 2bcd, 3a, 4bc, 5, 7b, 8

5400 Problems: 6.6: 11; 7.2: 6, 9

Problem Set 10, due Friday, November 17:

Section 6.4: 2, 4, 6, 8, 10, 14Section 6.5: 4-6, 8, 10, 13

Section 6.6: 4, 8

5400 Problems: 6.4: 17, 22; 6.5: 18, 19; 6.6: 9

Exam 2: Wednesday, November 8

Problem Set 9, due Friday, November 3:

Section 6.1: 1d, 2, 3, 6Section 6.2: 1, 2c, 3b, 5, 7d, 11, 13

Section 6.3: 1-3, 4b, 5b, 7b, 10-11

5400 Problems: 6.1: 5; 6.2: 8, 10; 6.3: 9, 13

Problem Set 8, due Friday, October 27:

Section 5.2: 1bdfh, 3bd, 6, 7b, 8, 10bc, 12, 13Section 5.3: 1bd, 2ade, 4a, 7

Section 5.4: 1, 2, 5ab, 6abf, 7ab, 8ab, 9a, 10b, 11, 14, 16c

5400 Problems: 5.2: 5f, 9, 10a; 5.3: 8, 9; 5.4: 13

Problem Set 7, due Friday, October 20:

Section 4.3: 1, 2, 4bd, 5bdSection 4.4: 3abcdfhij, 4, 5

Section 5.1: 4bd, 5d, 8, 10, 11, 13bd, 18b

5400 Problems: 4.3: 11,12; 4.4: 2; 5.1: 15, 18acde

Problem Set 6, due Friday, October 13:

Section 3.2: 1de, 2, 3, 7a, 11b, 14Section 3.3 1, 2, 5ac, 8-10

Section 4.1: 1bd, 2, 3, 6, 7, 10

5400 Problems: 3.2.10, 3.3.13, 4.1.12

Exam 1: Wednesday, October 4

Problem Set 5, due Friday, September 29:

Section 2.2: 1dfg, 4de, 6b, 8acSection 2.5: 2-5, 8, 10, 12, 14

Section 3.1: 2a, 3bdf, 5, 7f, 8

5400 Problems: 2.5: 18, 20, 21; 3.1: 11

Problem Set 4, due Friday, September 22:

Section 2.2: 1b, 2, 3b, 4c, 5, 6a, 7b, 8b, 10Section 2.3: 1d, 2df, 6, 10

Section 2.4: 2, 4, 6, 8b

5400 Problems: 2.3: 8, 16, 24

Problem Set 3, due Friday, September 15:

Section 1.6: 1bd, 2b, 3b, 5b, 7b, 9 ii, iv, vi, viiSection 2.1: 1b, 2b, 3b, 4b, 5bf, 6b, 7de, 12a, 13, 15b

Section 2.2: Postponed until next week

5400 Problems: 2.1: 11b, 16-18

Problem Set 2, due Friday, September 8:

Section 1.4: 1abdeh, 2b, 3abcd, 5fgSection 1.5: 1, 3-5, 7, 15

5400 Problems: 1.5: 11-13

Problem Set 1, due Friday, September 1 (5 points):

Section 1.2: 1abef, 2cfh, 3, 5, 6Section 1.3: 1, 2a, 3b, 5, 6ab, 9, 11, 12

5400 Problem: 1.3.18