Math 313. Complex Variables for Engineering. Spring 2010.


Sections:

Books:

Section 001. MWF 8:00-8:50. Room: HUM 450. Syllabus for Math 313-001 (18488) J.W. Brown and R.V. Churchill
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:


MWF 15:00-15:50. Room: HUM 450.

How grades are assigned?

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.

Additional notations (Table 01).
Week # Homework problems Due date (possibly solution)
15 Final Exam (Solution published) (May 12th, 12:30).
11 The will be no office hour on Friday, May 7th. You can schedule an appointment during the next week.
Take home Exam 2 (Solution published) (Due on Wednesday, May 5th, class time).
Quiz 09 (Solution published) (Monday, May 3rd, 2010). Topic: Integrals (BC p. 275).
Quiz 10 (Solution published) (Wednesday, May 5th, 2010). Topic: Integrals (BC p. 286).
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;
BC p. 306: 1*, 3*, 5*, 9*.
May 3rd, 2010, class time.
10 Quiz 07 (Solution published) (Wednesday, April 28th, 2010). Topic: Residues (BC p. 239, p. 248).
Quiz 08 (Solution published) (Wednesday, April 30th, 2010). Topic: Integrals (BC p. 248).
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).
BC p. 255: 2 (b), 3 (a), 4 (b), 7, 8 (a).
April 28th, 2010, class time.
9 Quiz 06 (Solution published) (Monday, April 12th, 2010). Topic: previous homework.
8 Quiz 05 (Solution published) (Monday, April 5th, 2010). 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, 2010, class time.
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.
March 29th, 2010, class time.
6 No quiz this week. On Friday, March 5th, 2010,Take home Exam 1 (Solution published).
Due date: Wednesday, March 10th, class time.
Office hour on Friday, March 5th is shifted on Thursday, March 4th, the same 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 8th, 2010, class time.
5 Quiz 04 (Solution published) (Friday, February 26th, 2010). 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 1st, 2010, class time.
4 Quiz 03 (Solution published) (Friday, February 19th, 2010). Topic: homework 03.
BC p. 92: 1 (b), 2, 6, 8 (b), 12, 14;
BC p. 97: 1, 3 (b), 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, 2010, class time.
3 Quiz 02 (Solution published) (Wednesday, February 10th, 2010). Topic: homework 02.
BC p. 62: 1 (c,d), 3, 6 (a), 8 (a);
BC p. 71: 1, 3 (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, 2010, class time.
Solution of HW 03.
2 Quiz 01 (Solution published) (Wednesday, February 3rd, 2010). 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 8th, 2010, 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 29nd, 2010, 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
13 Lecture 38: BC, Section 78-79. Lecture 39: BC, Section 80-81. Lecture 40: BC, Section 82.
12 Lecture 36: BC, Section 72-74. No lecture. Lecture 37: BC, Section 75-77.
11 Lecture 33: BC, Section 68 Lecture 34: BC, Section 69. Lecture 35: BC, Section 70-71.
10 Lecture 30 Lecture 31: BC, Section 63-65. Lecture 32: BC, Section 66-67.
9 Lecture 27 Lecture 28: BC, Section 57-58. Lecture 29: BC, Section 59.
8 Lecture 24 Lecture 25 Lecture 26
7 Lecture 21 Lecture 22 Lecture 23
6 Lecture 18 Lecture 19 Lecture 20
5 Lecture 15 Lecture 16 Lecture 17
4 Lecture 12 Lecture 13 Lecture 14
3 Lecture 09 Lecture 10 Lecture 11
3 Lecture 06 Lecture 07 Lecture 08
2 Lecture 03 Lecture 04 Lecture 05
1 No lecture Lecture 01 Lecture 02