OFFICE: Math 600 OFFICE HOURS: e-mail PHONE: (765) 494-1975 EMAIL: eremenko@math.purdue.edu
Brightspace: Fall 2020 MA 52500-001 LEC
Homework 1 (due September 1) p. 5: 7, 16, 20 bd, 22, 23; p. 12: 7 cef, 13; p. 22: 11, 20; p. 31: 4, 7, 8, 11.
Additional material (NOT required reading, NOT a part of HW):
1. How complex numbers were discovered?
2. Is there anything else like the
complex numbers?
3. Can you find the mistake?
4. Poisson's formula
5. Uniqueness of solution of Dirichlet problem
HW2 (due September 8) p. 56: 5(a-e), 13(a-c), p. 63: 11(a-c), p. 71: 7(a-e), 13(a-f), p. 77: 1(a-b), 6, 13.
HW3 (due September 15) p. 84: 3(a-f), 10; p. 108: 3(a,b), 11(a); p. 115: 5(a-c), 17; p. 123: 1(a-d), 5(a-c), 12.
HW4 (due September 22) p. 130: 3,4; p. 136: 1(abd),15(a); p. 160: 3,8; p. 170: 3(ab),8,13, p. 178: 1(a-e),4.
HW5 (due September 29) p. 200: 7,9a-f; p. 212 1,3(abdf), 7; p. 219: 4,5,6,13.
Practice exam, More practice problems Practice exam solutions,
Additional material: Infinite series I
Infinite series II
Infinite series III. Abel's theorem
Infinite series IV. Bernoulli numbers
Infinite series V. Burmann-Lagrange formula
HW 6 (due October 6) p. 225: 4,6,7,14(a-e); p. 239: 1(a,c,e), 11(a-d); p. 250: 1(a,b), 5(a-g).
Midterm exam is scheduled on October 13, in class.
Covers Chapters I-IV, 5.1-5.4.
Midterm exam solved
Examples of Laurent expansions
HW 7 (due October 20) p. 259: 3(a-f), 13a; p. 267: 3(a-f), 9; p. 276: 3(a-c), 4.
HW 8 (due October 27) p. 285: 1(a-g), 5(a-e); p. 290: 1(a-e); p. 313: 1(a-i), 3(a-f).
HW 9 (due Noverber 3) p. 317: 1,3; p. 325: 1, 11, 15ab, 19; p. 336: 5,9; p. 344: 2,10; p. 354: 4,8.
HW 10 (due November 10) p. 364: 3, 7, 8, 10; p. 375: 2; p. 382: 3, 13(a-d).
Quiz solved. You may check your answers and grades. For those who submitted more than one file, I graded the latest one.
HW 11 (due November 17) p. 392: 1,2,8,9; p. 403: 3(a-c), 6,17;
HW 12 (due December 1) p. 416: 4,8; p. 430: 1,3,5, 7; p. 440: 3,5.
Last lecture in class is on November 24.
The remaining 2 lectures (Dec. 1, Dec, 3) will be on Boilercast. (Nov. 26 is vacation).
Final exam is on December 12, 9am to 9pm on Brightspace. Same format as homework and quiz.
Lecture on December 1: Why airplanes fly, etc. It is recorded and available on Brightspace, but the quality of recording is poor, especialy sound. I hope that the pdf file will help, and that for the last lecture on December 3 I will find out how to improve the quality of recording. Please don't hesitate to ask any questions related to the course by e-mail.