Math 1260: Complex Analysis

Professor Richard Kenyon
Tel. 863-6406
rkenyon -at- math dot brown dot edu
office: Kassar 305
Office hours: Fridays 2-5pm

Text: T. Gamelin, Complex Analysis (isbn 978-0-387-95069-3)

Course outline: Topics include the complex numbers, trigonometric functions and exponentials, derivatives and analyticity, contour integration and Cauchy's theorem, series, singularities and residues. We will cover most of the material in chapters 1-7, and some material of chapters 8-10.

There will be homeworks collected weekly and one midterm. The final grade will be weighted as follows: Homework 35%, midterm 25%, final 40%.


Office hours this week:
Tuesday April 28 1-2pm
Wednesday April 29 1-2pm
Thursday April 30 1-3pm
or by appointment (at above email address)

no office hours May 2-11.

The final will be take-home, same format as the midterm

It will be available here: get final here starting Friday May 9, due Friday May 16 by 5pm in my office, Kassar 305.
Get the final solutions here.

Homework:

Late homework will not be accepted. The lowest homework grade will be dropped.

Homework 1, due Monday Jan 28 in class:
page 4: #1a,1b,1c,1h,3,5,8

Homework 2 due Monday Feb 4 in class:
page 10-11: 1b,1e, 6
page 13-14: 1a,1b,2,4
page 18: 1a,1d,1e,2a,2d,2e
page 21: 1e,2b
page 24: 1b,1c,3
page 27: 1a,1c

Homework 3, due Monday Feb 11 in class:
page 31: 4
page 39: 1d
page 40: 5 (ignore the part about showing that 1/2 < gamma < 3/5)
page 40: 8,11
page 46: 1g,3,5,6

Homework 4, due Wednesday Feb 20 in class:
page 50: 2,4,7c
page 53: 5,7,8
page 57: 1d,1f,5
page 62: 4,6
page 68: 1d,3,9

Homework 5, due Monday Feb 25 in class:
page 75: 1a,3
page 82, 1b,1d
page 84, 1a,1d

Homework 6, due Monday Mar 3 in class:
page 87: 3
page 89: 2,7, 11
page 106: 1a,3a,3b,3c,8

Homework 7, due Monday Mar 17 in class:
page 109: 2
page 111: 1
page 112: 3a
page 116: 1f
page 119: 1,2
page 133: 5

Homework 8, due Monday April 14 in class:
page 143: 1g,h,2f,3a
page 147: 1e,1f,2,3
page 151: 1d,4
page 157: 2,5
page 170: 1b,5

Homework 9, due Monday April 21 in class:
page 176: 1f,1g,1h,2a,3,12
page 179: 2,4a
page 181: 2a

Homework 10, due Monday April 28 by the end of the day in my mailbox:
page 185: 3
page 198: 1d,e,3c,3f
page 202: 1,5,8
page 205: 3
page 207: 1

Reading:
for Monday Jan 28: read Chapter I
for Monday Feb 4: read Chapter II,sections 1,2,3.
for Monday Feb 11: read the rest of chapter II and Chapter III,sections 1,2
for Wednesday Feb 20: read Chapter III, sections 3,4,5
for Monday Feb 25: read Chapter IV, 1-4.
for Monday Mar 3: read Chapter IV, 5 and Chapter V, 1.
for Monday Mar 17 read Chapter V, sections 2-7.
for Monday Apr 14 read Chapter VI.
for Monday Apr 21 read Chapter VII.