OFFICE: Math 600 OFFICE HOURS: Tuesday 1:30-2:30 + by appointment PHONE: (765) 494-1975 EMAIL: eremenko@purdue.edu
Homework should be submitted via Brightspace.
Homework 1 (due August 31) Section 1.1, p. 5: 7, 16, 20 bd, 22, 23; Section 1.2, p. 12: 7 cef, 13; Section 1.3, p. 22: 11, 20; Section 1.4, 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. Mixed partial derivatives
HW2 (due September 7) Section 1.5, p. 37: 4, 10, 11; Section 1.6, p. 42: 2-8; Section 2.1, p. 56: 5(a-e), 13(a-c); Section 2.2, p. 63: 11(a-c),
HW3 (due September 14) Section 2.3, p. 71: 7(a-e), 13(a-f); Section 2.4, p. 77: 1(a-b),6, 13; Section 2.5, p. 84: 3(a-f), 10; Section 3.1, p. 108: 3(a,b), 11(a);
HW4 (due September 21) Section 3.2, p. 115: 5(a-c), 17; Section 3.3, p. 123: 1(a-d), 5(a-c),12; Section 3.4, p. 130: 3,4; Section 3.5, p. 136: 1(abd), 15(a);
HW5 (due September 28) Section 4.1, p. 159: 3,8; Section 4.2, p. 170: 3(ab), 8, 13; Section 4.3, p. 178: 1(a-e), 4; Section 4.4, p. 200: 7a, 9a-f;
A picture hanging on 8 nails at the University of Helsinki
Practice exam
Additional Practice problems for the midterm
Practive exam solved
Additional problems solutions
Additional material: Infinite series I
Infinite series II
HW 6 (due October 5) Section 4.5, p. 212: 1, 3(abdf), 7; Section 4.6, p. 219: 4, 5, 6, 13; Section 4.7, p. 225: 4,6,7,14(a-e); Section 5.1, p. 239: 1(a,c,e), 11(a-d);
Infinite series 1
Infinite series 2
Solutions and comments to the Midterm exam
HW 7 (due October 19) Section 5.2, p. 250: 1(a,b), 5(a-g). Section 5.3, p. 259: 3(a-f), 13a; Section 5.4, p. 267: 3(a-f), 9;
HW 8 (due October 26) Section 5.5, p. 276: 3(a-c), 4. Section 5.6, p. 285: 1(a-g), 5(a-e); Section 5.7, p. 290: 1(a-e);
Quiz on power series (Section 5.3) on October 28, in class.
HW 9 (due Noverber 2) Section 6.1, p. 313: 1(a-i), 3(a-f); Section 6.2, p. 317: 1,3. Section 6.3, p. 325: 1, 11, 15ab, 19; Section 6.4, p. 336: 5,9;
Quiz on singularities (Section 5.6) on November 4 in class.
HW 10 (due November 9) Section 6.5, p. 344: 2,10; Section 6.6, p. 354: 4,8. Section 6.7, p. 364: 3, 7, 8, 10;
HW 11 (due November 16) Section 7.1, p. 375: 2; Section 7.2, p. 382: 3, 7, 11, 13(a-d). Section 7.3, p. 392: 1,2,8,9;
HW 12 (due November 23) Section 7.4, p. 403: 3(a-c), 6,17; Section 7.5, p. 416: 4,8; Section 7.6, p. 430: 1,3,5, 7; Section 7.7, p. 439: 3,5.
Old final exam (There was a mistake in the ans to Problem 3, whish is now corrected.)
Lectures on November 30 and December 2: Why airplanes fly, etc.
Solution of Problem 1 in the practice exam
