Math 561. Complex Variables I. Fall 2019.


Sections:

Books:
Section 001. TR 08:00-09:15. Room: SMLC 352. Syllabus for Math 561-001 (37221) J.W. Brown and R.V. Churchill
Complex Variables and Applications (for HW problems only)
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.
Additional notations (Table 01).
Week # Homework problems Due date (possibly solution)
- Quiz 05 (Tuesday, December 3rd) (Solution published). Topic: Lecture 27 (Beta-function type integrals).
Extra 15 points assignement.
Solve any variant (at least 7 problems) of Complex Variables qualifiers from 2015 and newer.
Here you can find previous qualifiers.
Please, print the qualifier and attach it to the solution. 		December 5th, 2019, class time.
- Exam 2 (Thursday, November 14th, class time) (Solution published).
Preparation - two (!) previous HW, everything but Laplace's transform-type integrals. 		-
9 BC p. 346: 5, 6, 8;
BC p. 362: 2, 4, 5;
BC p. 370: 1, 2, 3, 5, 6, 7, 8, 9.
 December 3rd, 2019, class time.
8 Quiz 02 (Thursday, October 31st) (Solution published). Topic: BC p. 290.
Quiz 03 (Tuesday, November 7th) (Solution published). Topic: BC p. 275.
Quiz 04 (Tuesday, November 12th) (Solution published). Topic: 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;
BC p. 306: 1, 3, 5, 9. 		November 12th, 2019, class time.
Solution of HW 08.
7 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). 		October 24th, 2019, class time.
Solution of HW 07.
- Exam 1 (Tuesday, October 8th, class time) (Solution published).
No calculators are allowed.
Training set of problems:
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, 4, 5;
BC p. 160: 1 (d), 2 (b), 4 (a), 5, 6, 7;
BC p. 195: 1, 2, 3, 5 (a), 6, 8, 9, 10, 11 (a), 12 (b). 		-
6 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).
 October 8th, 2019, class time.
Solution of HW 06.
5 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.
 September 26th, 2019, class time.
Solution of HW 05.
4 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.
 September 24th, 2019, class time.
Solution of HW 04.
3 Quiz 01 (Thursday, September 12th) (Solution published). Topic: homework 03 (Cauchy-Riemann, harmonic functions).
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. 		September 12th, 2019, class time.
Solution of HW 03.
2 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). 		September 3rd, 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. 		August 27th, 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.
Week # Lectures Notes
14 Lecture 27 Lecture 28
13 Lecture 27 Exam 2.
12 Lecture 26 Lecture 26
11 Lecture 26 Lecture 26
10 Lecture 23 , Lecture 24 Lecture 24 , Lecture 25
9 Lecture 22 Lecture 23
8 Exam 1. Fall recess.
7 Lecture 20 Lecture 21
6 Lecture 16 Lecture 17 Lecture 18 , Lecture 19
5 Lecture 14 Lecture 15
4 Lecture 09 , Lecture 10 , Lecture 11 Lecture 12 , Lecture 13
3 Lecture 06 , Lecture 07 Lecture 07 , Lecture 08
2 Lecture 03 Lecture 04 , Lecture 05 , Lecture 06
1 Lecture 01 , Lecture 02 Lecture 02 , Lecture 03