Sections:
Books:
Complex Variables and Applications
8th Edition, McGraw Hill.
Optional reading:
S.G. Gindikin, Tales of Physicists and Mathematicians, Birkhauser, Boston, 1988 ISBN 0-8176-3317-0
Office hours:
TR 12:30-13:45. Room: SMLC 220.
How grades are assigned?
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 quizzes: 50 points.
Final exam: 200 points.
Total: 550 points.
Lowest thresholds for grades (not higher than):
A = 495, B = 440, C = 380, D = 330.
| Week # | Homework problems | Due date (possibly solution) |
|---|---|---|
| 11 |
Final Exam (Tuesday, May 7th, 07:30-9:30am). 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 Friday, May 3rd, 4pm, (slide it under the door if I'm not in the office or you can scan and e-mail it to me as a PDF file). Last two quizzes will be out of 15 points. Extra preparation materials for Quizzes 09-10.. Quiz 09 (Thursday, May 2nd, 2019) (Solution published). Topic: Integrals (BC p. 275). Quiz 10 (Thursday, May 2nd, 2019) (Solution published). Topic: Integrals (BC p. 286). Quiz 09-10 Typical errors. Please, read before the Final!. 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 2nd, 2019. Solution of HW 10. |
| 9 |
Quiz 07 (Tuesday, April 23rd, 2019) (Solution published). Topic: Residues. Quiz 08 (canceled) (Solution published). Topic: 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 23rd, 2019, Solution of HW 09. |
| 8 |
Quiz 06 (Tuesday, April 9th, 2019) (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 9th, 2019, class time. Solution of HW 08. |
| 7 |
Quiz 05 (Tuesday, April 2nd, 2019) (Solution published). Topic: current homework. 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 2nd, 2019, class time. Solution of HW 07. |
| 6 |
No quiz this week. On Friday, March 1st, 2019, take home Exam 1, published at 8pm (Solution published). You will need to do next HW problems on p. 346 in order to be ready for the exam. Due date: Tuesday, March 5th, 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 26th, 2019, class time. Solution of HW 06. |
| 5 |
Quiz 04 (Thursday, February 21st, 2019) (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 5th, 2019, class time. Solution of HW 05. |
| 4 |
Quiz 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 19th, 2019, class time. Solution of HW 04. |
| 3 |
Quiz 02 (Thursday, February 5th, 2019) (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. 44: 1, 3, 5, 7; BC p. 77: 1, 2, 4, 7; BC p. 81: 1 (b,d), 3; BC p. 87: 1, 2, 3. |
February 14th, 2019, class time. Solution of HW 03. |
| 2 |
Quiz 01 (Thursday, January 24th, 2019) (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. 55: 1 (c), 2 (b), 3 (b), 4, 5, 10 (a,c). |
February 5th, 2019, 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 22nd, 2019, 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 | |||
|---|---|---|---|---|
| 15 | Lecture 35 |
Additional Lecture 36 on some advanced integrals. Read generalized residue theorem at the end. |
||
| 14 | Lecture 33 | Lecture 34 | ||
| 13 | Lecture 30 , Lecture 31 | Lecture 31 Lecture 32 | ||
| 12 | Lecture 27-29 | Lecture 27-29 | ||
| 11 | Lecture 23 , Lecture 24 , Lecture 25 | Lecture 26 , Lecture 27 | ||
| 10 | Lecture 21 | Lecture 22 | ||
| 9 | Lecture 20 , Lecture 21 | Lecture 21 | ||
| 8 | Lecture 16 , Lecture 18 | Lecture 18 , Lecture 19 , Lecture 20 | ||
| 7 | Lecture 15 , Lecture 17 | Lecture 17 | ||
| 6 | Snow day. | Lecture 13 , Lecture 14 | ||
| 5 | Lecture 11 | Lecture 12 , Lecture 13 | ||
| 4 | Lecture 07 , Lecture 08 | Lecture 09 , Lecture 10 | ||
| 3 | Lecture 05 , Lecture 06 | Lecture 06 , Lecture 07 | ||
| 2 | Lecture 03 | Lecture 04 | ||
| 1 | Lecture 01 , Lecture 02 | Lecture 02 | ||