# Math 313. Complex Variables for Engineering. Spring 2014.

## Books:

Section 001. TR 11:00-12:15. Room: MITCH 221. Syllabus for Math 313-001 (18488) J.W. Brown and R.V. Churchill
Complex Variables and Applications
8th Edition, McGraw Hill.

S.G. Gindikin, Tales of Physicists and Mathematicians, Birkhauser, Boston, 1988 ISBN 0-8176-3317-0

## Office hours:

Tuesday 9:30-10:45, Thursday 14:00-15:15. Room: SMLC 220.

All homeworks: 100 points (only few key problems from the homework will be graded, approximately 8 points for homework).
Two midterm exams: 100 points each (100+100 points).
In class quizes: 50 points.
Final exam: 200 points.
Total: 550 points.
Lowest bondaries for grades (not higher than):
A = 495, B = 440, C = 380, D = 330.

Week # Homework problems Due date (possibly solution)
11 Final Exam (May 13th, 12:30pm) (Solution published).
You can have one page (two sides) of Letter paper size of what ever you like.
No calculators are allowed.
Training set of problems (all of them are from your previous HWs):
BC p. 29: 1, 2, 3, 5, 8;
BC p. 81: 1 (b,d), 3;
BC p. 92: 1 (b), 2, 6, 8 (b), 12, 14;
BC p. 97: 1, 2, 3, 5;
BC p. 334: 2, 3, 4, 6 (a);
BC p. 340: 1, 2, 5, 6, 7;
BC p. 346: 5, 6, 8;
BC p. 239: 1 (a,b,e), 2 (a,c), 3 (a);
BC p. 243: 1 (a,b,d), 2 (a,c), 3;
BC p. 248: 1 (a,c), 2 (b), 3 (a), 4 (a), 5, 6 (c);
BC p. 255: 2 (b), 3 (a), 4 (b), 7, 8 (a);
BC p. 267: 1, 3, 5, 7;
BC p. 275: 1, 3, 5, 7, 9, 12 (a);
BC p. 286: 2, 4, 6 (a), 7;
BC p. 290: 1, 3, 5, 7.
10 Take home Exam 2 (Solution published),
is due on Monday, May 12th, 5pm, you can scan and e-mail it to me).
Quiz 09 (Tuesday, May 6th, 2014) (Solution published). Topic: Integrals (BC p. 275).
Quiz 10 (Thursday, May 8th, 2014) (Solution published). Topic: Integrals (BC p. 286).
BC p. 255: 2 (b), 3 (a), 4 (b), 7, 8 (a);
BC p. 290: 1, 3, 5, 7;
BC p. 267: 1, 3, 5, 7;
BC p. 275: 1, 3, 5, 7, 9, 12 (a);
BC p. 286: 2, 4, 6 (a), 7;
Extra credit (2 points): BC p. 306: 1, 3, 5, 9.
May 8th, 2014, class time.
Solution of HW 10.
9 Quiz 06 (Tuesday, April 22nd, 2014) (Solution published). Topic: previous homework.
Quiz 07-08 (Tuesday, April 29th, 2014) (Solution published). Topic: Residues and integrals.
BC p. 205: 1-8;
BC p. 219: 1-3, 6, 7;
BC p. 239: 1 (a,b,e), 2 (a,c), 3 (a);
BC p. 243: 1 (a,b,d), 2 (a,c), 3;
BC p. 248: 1 (a,c), 2 (b), 3 (a), 4 (a), 5, 6 (c).
April 29th, 2014, class time.
Solution of HW 09.
8 Quiz 05 (Tuesday, April 7th, 2014) (Solution published). Topic: previous homework.
BC p. 170: 1 (a,b,e), 2 (a), 4, 7;
BC p. 178: 1;
BC p. 188: 2, 4, 8;
BC p. 195: 1, 2, 3, 5 (a), 6, 8, 9, 10, 11 (a), 12 (b).
April 17th, 2014, class time.
Solution of HW 08.
7 BC p. 121: 2, 3;
BC p. 125: 5, 6;
BC p. 135: 1 (b), 3, 6, 9;
BC p. 140: 1, 2;
BC p. 160: 1 (d), 2 (b), 4 (a), 5, 6, 7.
April 3rd, 2014, class time.
Solution of HW 07.
6 No quiz this week. On Wednesday, March 12th, 2014, take home Exam 1 (Solution published).
Due date: Thursday, March 13th, class time.
BC p. 346: 5, 6, 8;
BC p. 362: 2, 4, 5;
BC p. 370: 1, 2, 3, 5, 6, 7, 8, 9.
March 25th, 2014, class time.
Solution of HW 06.
5 Quiz 04 (Postponed till Tuesday, March 11th, 2014) (Solution published). Topic: homework 04.
BC p. 313: 1, 4, 5;
BC p. 317: 2, 3, 13;
BC p. 324: 2, 3, 6, 7;
BC p. 329: 1, 2, 3 (a);
BC p. 334: 2, 3, 4, 6 (a);
BC p. 340: 1, 2, 5, 6, 7.
March 6th, 2014, class time.
Solution of HW 05.
4 Quiz 03 (Thursday, February 20th, 2014) (Solution published). Topic: homework 03.
BC p. 92: 1 (b), 2, 6, 8 (b), 12, 14;
BC p. 97: 1, 2, 3, 5;
BC p. 100: 3 (a);
BC p. 104: 1, 2 (b,c), 3, 6;
BC p. 108: 5 (b), 10 (a), 15;
BC p. 111: 1, 2, 16;
BC p. 114: 1, 4, 5, 6, 7.
February 25th, 2014, class time.
Solution of HW 04.
3 Quiz 02 (Thursday, February 14th, 2014) (Solution published). Topic: homework 02.
BC p. 62: 1 (c,d), 3, 6 (a), 8 (a);
BC p. 71: 1, 2 (b), 3, 4 (b,c), 10;
BC p. 77: 1, 2, 4, 7;
BC p. 81: 1 (b,d), 3;
BC p. 87: 1, 2, 3.
February 18th, 2014, class time.
Solution of HW 03.
2 Quiz 01 (Thursday, January 30th, 2014) (Solution published). Topic: homework 01.
BC p. 22: 3, 4, 5 (a,d), 9, 10;
BC p. 29: 1, 2, 3, 5, 8;
BC p. 33: 1, 4, 7, 8;
BC p. 37: 1 (b,d), 3;
BC p. 44: 1, 3, 5, 7;
BC p. 55: 1 (c), 2 (b), 3 (b), 4, 5, 10 (a,c).
February 11th, 2014, class time.
Solution of HW 02.
1 BC p. 5: 1-6, 9, 11;
BC p. 8: 1-3, 7;
BC p. 12: 1, 2, 5;
BC p. 14: 1, 4, 9, 10;
BC p. 22: 1, 2.
January 28th, 2014, class time.
Solution of HW 01.

Below you can find my lecture notes. They are incomplete and were created for my personal usage only. Use at your own risk. No warranty!
Week # Lectures Notes
Read generalized residue theorem at the end.
15 Lecture 34 Lecture 35
14 Lecture 33 , Lecture 34 Lecture 34
13 Lecture 31 Lecture 32
12 Lecture 30 Lecture 31
11 Lecture 25 , Lecture 26 Lecture 27-29
10 Lecture 21 , Lecture 22 , Lecture 23 Lecture 22 , Lecture 24
9 Lecture 19 , Lecture 20 Lecture 20 , Lecture 21
8 Lecture 17 , Lecture 18 Lecture 18 , Lecture 19
7 Lecture 15 , Lecture 16 Lecture 16 , Lecture 17
6 Lecture 13 , Lecture 14 Lecture 14 , Lecture 15
5 Lecture 11 , Lecture 12 Lecture 12 , Lecture 13
4 Lecture 09 , Lecture 10 Lecture 10 , Lecture 11
3 Lecture 07 , Lecture 08 Lecture 08 , Lecture 09
3 Lecture 05 Lecture 06
2 Lecture 03 Lecture 04 , Lecture 05
1 Lecture 01 Lecture 02