Math 1260: Complex Analysis


Image of grid lines under sin(z).

Professor Richard Kenyon
Tel. 863-6406
rkenyon -at- math dot brown dot edu
office: Kassar 305
Office hours: Mondays 12:30-1:30pm

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 8-11.

There will be homeworks collected weekly and one midterm. The final grade will be weighted as follows: Homework 35%, midterm 20%, final 45%.

Final exam: Thu, Dec 14, 2017 2:00-5:00pm Kassar Foxboro

Homework:

Late homework will not be accepted. The lowest homework grade will be dropped.
It is expected that your homework should involve up to 10 hours of work per week. If you are spending considerably more time than this, let me know.

Homework 1: due Tuesday Sept 19
Page 4: 1d,1h,1i, 5, 7
Page 10: 1a,c,e,2,6
Page 14: 2,4

Homework 2: due Thursday Sept 28
Page 21: 2
Page 24: 2c,2d, 3,4
Page 27: 1a, 6
Page 31: 3,4
Page 41: 15

Homework 3: due Thursday Oct 5
Page 46: 5,
Page 50: 2, 5, 7
Page 53: 3, 7, 8

Homework 4: due Thursday Oct 12
Page 57: 1a,c, 3, 5
Page 62: 6,
Page 67: 1c, 9, 12
Page 75: 3, 5

Homework 5: due Thursday Oct 26
Page 82: 2, 5
Page 84: 1b, 4
Page 87: 3
Page 89: 4
Page 106: 2,4
Page 109: 4

Homework 6: due Thursday Nov 2
Page 111: 1,3a,b
Page 116: 1a,g
Page 119: 1,2
Page 133: 6
Page 137: 7,8

Homework 7: due Thursday Nov 9
Page 143: 1, 2, 4, 6
Page 147: 1, 2, 3, 4, 9, 11
Page 151: 2, 4
Page 153: 3

Homework 8: due Thursday Nov 16
Page 157: 1a,b,c, 3
Page 162: 1, 2, 5
Page 170: 1, 5

Homework 9: due Thursday Nov 30
Page 176: 1a,b,c,d, 3, 6, 11
Page 179: 4
Page 181: 1d, 2a,
Page 198: 2, 3a,b,c

Check out this video about sqrt(z)