Complex Analysis (Spring 2024)

Complex Analysis (MATH 530, Spring 2024) Contents

Teacher: Alexandre Eremenko
OFFICE: Math 600

OFFICE HOURS:  MW 12:20-1:30, or by appointment

PHONE: (765) 494-1975

EMAIL: eremenko@purdue.edu

GENERAL INFORMATION

Additional resources

Homework assignments

Homework is generally due on Monday before the class begins. It should be uploaded to Gradescope or brought to class on paper.

HW 1. Due January 17 Chap. I, sections 1.1-2.2. p. 2-3: 1,2,3; p. 4: 3; p. 6: 1; p. 9: 2,3; p. 11: 1, p. 15: 1,3.

HW 2. Due January 22 Chap II, sections 1.1-3.3. p. 16: 2,4; p. 28: 1,3,4; p. 41: 1-4,8; p. 44: 1-3.

HW 3. Due January 29 Chap III, sections 1.1-2.4. p. 47: 3, 4, 5; p. 53: 6,7; p. 58: 2,3; p. 66: 1, 5 p. 72: 3.

Hw 4. Due February 5 Chap III, sections 3.1-4.2. p. 78: 2; p. 80: 1, 4; p. 83: 2, 4, 7; p. 88: 1, 2; p. 96: 1, 2, 3, 7.

HW 5. Due February 12 Chap IV 1.1-2.3 p. 108: 1, 2, 3, 4, 5, 6, 8; p. 120: 1,2.

HW 6. Due February 19 Chap IV, 2.3-3.3. p. 120: 3; p. 123: 1, 2, 3, 4, 5; p. 129: 1, 2, 3, 4, 5, 6.

Midterm preparation problems (not graded. Few misprints corrected on 2.29.24 at 6:20 p.m.).
Solution of Problem 20*
No HW for the week of Febr 26. Midterm covers the same material as HW 1-6. That is up to Chap. IV, section 3.3.

Midterm: March 6 Solutions

Spring break: March 11-15.

Harmonic functions (Exposition is somewhat different from Ahlfors, and includes the Phragmen-Lindelof Principle)

HW 7. Due March 25 Chap. IV, 3.4, 5.1-5.3. p. 133: 1,2,3,4; p. 136: 1, 3; p. 154: 1,2,3.

HW 8. Due April 1 Chap. IV, 6.1-6.4. p. 161: 1, 3(a,b,d,f,g,h); p. 166: 1,2.

HW 9. Due April 8 Chap. V, 1.1-2.1 p. 171: 1, 2, 5, 6, 7; p. 173: 1, 2, 4; p. 244: 1.

HW 10. Due April 15 Chap. V, p. 184: 1, 2, 3, 4, 5; p. 186: 2; p. 190: 2, 3, 4;

April 22 - dead week.

Final exam: May 1, 7-9 p.m., HAAS G066
Covered chapters: 1-4, and section 1 of Chap. 5. Practice problems
More practice problems