Math 444: Elementary Real Analysis
Section F13, Fall 2010
Bert Guillou
email: bertg ♠ illinois ♦ edu
Phone: (217) 244-0286
Office: 330 Illini Hall
Office Hours: Wednesday, 4-5:30.
Schedule
| Assignment | Date |
|---|---|
| Lecture 1: 1.1 | Aug. 23 |
| Lecture 2: 1.2, 1.3 | Aug. 25 |
| Lecture 3: 1.3 | Aug. 27 |
| Homework 1: 1.1: 5, 17, 21; 1.2: 2, 6, 15, 20 | due Aug. 27, in class |
| Lecture 4: 1.3, 2.1 | Aug. 30 |
| Lecture 5: 2.1 | Sept. 1 |
| Lecture 6: 2.2, 2.3 | Sept. 3 |
| Homework 2: 1.3: 4, 9; 2.1: 1(b,d), 4, 8, 17 NOTE: Problems from 2.2 will be due next week. | due Sept. 3, in class |
| Lecture 7: 2.3, 2.4 | Sept. 8 |
| Lecture 8: 2.4, 2.5 | Sept. 10 |
| Homework 3: 2.2: 2, 4, 5; 2.3: 5, 8, 10; 2.4: 3, 6, 12 | due Sept. 10, in class |
| Lecture 9: 2.5, 3.1 | Sept. 13 |
| Lecture 10: 3.1, 3.2 | Sept. 15 |
| Lecture 11: 3.2 | Sept. 17 |
| Homework 4: 2.5: 3, 7; 3.1: 3(b,d), 5(b,d), 7, 8; 3.2: 2, 4 | due Sept. 17, in class |
| Lecture 12: Review | Sept. 20 |
| Exam 1: Ch. 1-3 (Up to 3.2) Study guide | Sept. 22, in class |
| Lecture 13: 3.3 | Sept. 24 |
| Lecture 14: 3.4 | Sept. 27 |
| Lecture 15: limsup, liminf | Sept. 29 |
| Lecture 16: 3.5, 3.7 | Oct. 1 |
| Homework 5: 3.3: 2, 3, 9, 12; 3.4: 2, 4(a), 7(a,d), 10, 16 | due Oct. 1, in class |
| Lecture 17: 3.7 | Oct. 4 |
| Lecture 18: 3.7, 4.1 | Oct. 6 |
| Lecture 19: 4.1, 4.2 | Oct. 8 |
| Homework 6: 3.5: 3(b), 4, 11; 3.7: 2, 8, 12, 13 | due Oct. 8, in class |
| Lecture 20: 5.1 | Oct. 11 |
| Lecture 21: 5.2 | Oct. 13 |
| Lecture 22: 5.3 | Oct. 15 |
| Lecture 23: 5.3 | Oct. 18 |
| Homework 7: 4.1: 4, 7, 9(b), 12; 4.2: 5, 7, 10; 5.1: 1, 9; 5.2: 8, 10. NOTE THAT THIS IS DUE ON MONDAY | due Oct. 18, in class |
| Lecture 24: 5.4 | Oct. 20 |
| Lecture 25: Review | Oct. 22 |
| Exam 2 : Sections 3.3 to 5.4 Study guide | Oct. 25, in class |
| Lecture 26: 6.1 | Oct. 27 |
| Lecture 27: 6.1 (Chain Rule) | Oct. 29 |
| Lecture 28: 6.1 (Derivative of Inverse Function) | Nov. 1 |
| Lecture 29: 6.2 | Nov. 3 |
| Lecture 30: 6.2 | Nov. 5 |
| Homework 8: 6.1: 1(b,d), 2, 9, 13, 16; 6.2: 1(b,d), 2(a,b) | due Nov. 5, in class |
| Lecture 31: 7.1 | Nov. 8 |
| Lecture 32: 7.1 | Nov. 10 |
| Lecture 33: 7.1, 7.2 | Nov. 12 |
| Homework 9: 6.2: 5, 8, 13; 7.1: 6, 7, 8, 14 | due Nov. 12, in class |
| Lecture 34: 7.2 | Nov. 15 |
| Lecture 35: 7.2, 7.3 | Nov. 17 |
| Lecture 36: 7.3 | Nov. 19 |
| Homework 10: 7.2: 1, 7, 8, 9, 11, 15, 20 | due Nov. 19, in class |
| Lecture 37: Review | Nov. 29 |
| Exam 3 : Ch. 6 and 7 Study guide | Dec. 1, in class |
| Lecture 38: 8.1 | Dec. 3 |
| Lecture 39: 8.2 | Dec. 6 |
| Lecture 40: 8.3 | Dec. 8 |
| FINAL EXAM!! | Dec. 17, 1:30-4:30 AM |
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Department of Mathematics College of Liberal Arts and Sciences University of Illinois at Urbana-Champaign 273 Altgeld Hall, MC-382 1409 W. Green Street, Urbana, IL 61801 USA Department Main Office Telephone: (217) 333-3350 Fax (217) 333-9576 |