# Math 313. Complex Variables for Engineering. Spring 2017.

## Books:

Section 001. MWF 08:00-08:50. Room: SMLC 356. Syllabus for Math 313-001 (32454) 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:

MW 12:00-13:15. Room: SMLC 220.

All homeworks: 100 points (only few key problems from the homework will be graded, approximately 10 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 10th, 12:30pm)(Solution published).
You can have one page (two sides) of Letter size paper 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 8th, 12pm, (you can scan and e-mail it to me as a PDF file).
Last two quizzes will be out of 15 points.
Quiz 09 (Friday, May 5th, 2017) (Solution published). Topic: Integrals (BC p. 275).
Quiz 10 (Friday, May 5th, 2017) (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 (5 points): BC p. 306: 1, 3, 5, 9.
May 8th, 2017, 12pm (you can e-mail PDF file).
Solution of HW 10.
9 Quiz 06 (Friday, April 21st, 2017) (Solution published). Topic: previous homework.
Quiz 07-08 (Monday, May 1st, 2017) (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 28th, 2017,
slide it under office door
BEFORE 12pm.
Solution of HW 09.
8 Quiz 05 (Friday, April 7th, 2017) (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 12th, 2017, 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, 2017, class time.
Solution of HW 07.
6 No quiz this week.
On Monday, March 6th, 2017, take home Exam 1 (Solution published).
You will need to do next HW problems on p. 346 in order to be ready for the exam.
Due date: Wednesday, March 8th, 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 22nd, 2017, class time.
Solution of HW 06.
5 Quiz 04 (Monday, February 27th, 2017) (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 3rd, 2017, class time.
Solution of HW 05.
4 Quiz 03 (Friday, February 17th, 2017) (Solution published). Topic: homework 03 (Cauchy-Riemann).
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 22th, 2017, class time.
Solution of HW 04.
3 Quiz 02 (Wednesday, February 8th, 2017) (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 15th, 2017, class time.
Solution of HW 03.
2 Quiz 01 (Monday, January 30th, 2017) (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 6th, 2017, 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 25th, 2017, 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 34 Lecture 35
14 Lecture 33 Lecture 33 Lecture 34
13 Lecture 30 Lecture 31 Lecture 32
12 Lecture 26 Lecture 27-29 Lecture 27-29
11 Lecture 23 Lecture 24 Lecture 25
10 Lecture 21 Lecture 22 Lecture 22
9 Lecture 19 Lecture 20 Lecture 21
8 Lecture 17 Lecture 18 Lecture 19
7 Lecture 14 Lecture 15 Lecture 16
6 Lecture 12 Lecture 13 Lecture 14
5 Lecture 11 Lecture 11 , Lecture 12 Lecture 12
4 Lecture 09 Lecture 09 , Lecture 10 Lecture 10 , Lecture 11
3 Lecture 07 , Lecture 08 Lecture 07 , Lecture 08 Lecture 08 , Lecture 09
3 Lecture 05 Lecture 05 , Lecture 06 Lecture 07
2 Lecture 02 Lecture 03 , Lecture 04 Lecture 04
1 MLK Day. Lecture 01 Lecture 02