The goal of this course is to give you working knowledge of basic concepts of Analysis. ``Working knowledge'' means that you should be able to apply principles and methods that you will learn to solving concrete problems, both computational and conceptual. I will assign problems every Wednesday, and they are due the following Wednesday. Jared McBride will conduct problem solving sessions (one hour/week, TBA.) All homework assignments and all the announcements will be posted on this web page.
There will be one mid-semester test on Wednesday, October 17, and the final exam on Wednesday, December 12, from 10:30 to 12:30. Final grades will be assigned based on the results of these exams and on your homeworks. Both homeworks and the midsemester test are worth 25% of your final grade; the final exam is worth 50% of the grade. The grade of ``I'' can be awarded only in an exceptional case to a student who has a valid reason for not completing the course in time (illness, solid family reasons), and who has shown a passing performance in class.
In the Spring, there will be one mid-semester test, on March 1, and a take-home final. The problems for the final will be posted on April 24, and the final is due on May 1, at noon.
Problem sets:
1. Due on August 29: Problem set 1
2. Due on September 7: Problem set 2
3. Due on September 12: Problems 4.27, 4.28, 4.39, 4.40, 4.42, 4.43, 4.44
4. Due on September 19: Problems 1.4.30 -- 1.4.35, 2.1.4, 2.1.5, 2.2.10, 2.2.12
5. Due on September 26: Problems 2.3.31, 2.3.33, 2.3.38, 2.3.47, 2.3.49, 2.3.50, 2.3.51, 2.3.52
6. Due on October 3: Problem set 6
7. Due on October 15: Problem set 7
8. Due on October 24: Problems 3.3.9, 3.4.8, 3.4.14, 3.4.15, 3.4.16, 3.4.24, 3.4.31, 3.5.16, 3.5.29, 3.5.38
9. Due on October 31: Problems 3.6.7, 3.6.8, 3.6.9, 3.6.14, 3.6.17, 3.7.34, 3.7.35, 3.7.36, 3.7.37
10. Due on November 7: Problem set 10
11. Due on November 21: Problems 4.0.9, 4.1.32, 4.1.33, 4.1.34, 4.1.53, 4.1.71
12. Due on November 28: Problems 4.2.11, 4.2.28, 4.2.36, 4.2.62, 4.2.64, 4.2.68, 4.2.69
13. Due on January 23: Problems 5.1.24, 5.1.25, 5.1.41, 5.1.42, 5.1.43, 5.1.44, 5.1.46, 5.1.47
14. Due on January 30: Problems 5.2.24, 5.2.25, 5.2.27, 5.2.30, 5.2.34
15. Due on February 8: Problems 5.3.20, 5.3.21, 5.3.22, 5.4.4, 5.4.21, 5.4.35, 5.4.36
16. Due on February 20: Problems 1.1.41, 1.1.42, 1.1.44, 1.1.45, 1.1.46, 1,1.52, 1.1.54 from
Chapter II
17. Due on February 27: Problems 1.2.15, 1.2.18, 1.3.10, 1.3.11, 1.3.12, 1.3.14
18. Due on March 20: Problems 1.4.41, 1.4.42, 1.4.43, 1.4.47, 1.4,50, 1.4.51, 1.4.53
19. Due on March 27: Problems 2.2.16, 2.2.18, 2.2.19, 2.2.20, 2.2.21, 2.3.7
20. Due on April 3: Problems 2.3.9, 2.3.10, 2.3.12, 2.3.14, 2.3.15
21. Due on April 10: Problem set 21
22. Due on April 17: Problems 2.5.38, 2.5.39, 2.5.41, 2.5.43, 2.5.44
23. Due on April 24: Problems 2.6.27, 2.6.28, 2.6.30, 2.6.31, 2.6.32
Announcements:
1. Solution of the problem 1c from the mid-semester test
2. Final Exam problems are: here. Due on May 1.
3.Final Exam. Solutions.