Real Analysis MAT 571 / Spring 2012 / SLN 13921 Instructor: Steve Kaliszewski Text: Folland, Real Analysis (2nd Edition), Wiley, 1999 Schedule: TTh 3:00-4:15pm Location: PSA 306 (Tempe campus) Www: math.asu.edu/~kaz/mat571/12s/ TA: Zhun Han, PSA 827. TA Office Hours: Wednesdays, 10:30am-12:00pm and 1:00pm-2:30pm. > Homework Solutions > Exam 1 Solutions (.pdf) > Exam 2 Solutions (.pdf) ASSIGNMENTS: 14. Due Thursday 4/19: Section 3.3, Exercises 13, 16, and 17. 13. Due Thursday 4/12: Section 3.2, Exercises 8, 9, and 10. 12. Due Thursday 4/5: Assignment 12. 11. Due Thursday 3/29: Section 3.1, Exercises 3, 6, and 7. 10. Due Thursday 3/15: Section 2.4, Exercise 34 or 44. Section 2.5, Exercises 48 and 51. 09. Due Thursday 3/8: Section 2.4, Exercises 38 and (34 or 44). Section 2.5, Exercise 46. 08. Due Thursday 3/1: Section 2.3, Exercises 20, 21, 25. 07. Due Thursday 2/23: Section 2.2, Exercise 16. 06. Due Thursday 2/16: Section 2.2, Exercises 12 and 14. 05. Due Thursday 2/9: Section 1.5, Exercise 29 Section 2.1, Exercises 3 and 10. 04. Due Thursday 2/2: Section 1.4, Exercise 23 Section 1.5, Exercises 25 and 26. 03. Due Thursday 1/26: Section 1.4, Exercises 17, 18, and 19. 02. Due Thursday 1/19: Section 1.3, Exercises 11, 14, and 16. 01. Due Thursday 1/12: Section 1.2, Exercises 2, 3, and 4. Course Description: This is the second semester of the graduate-level Real Analysis course. The final exam constitutes Part 2 of the qualifying exam in Real Analysis for the SoMSS Ph.D. program in Mathematics. Topics include a rigorous development of measure and integration, and an introduction to analytic functions of a complex variable. We will use Chapters 1-3 of Folland for the measure theory, and lecture notes will be made available for the complex analysis. Homework: There will be 15 homework assignments, due each Thursday at the start of class. Late homework will not be accepted, but 80% of the total possible will count as 100% in your final grade. Students are encouraged to work together on the homework, but are required to write up and turn in the assignments individually. Solutions will be graded on presentation as well as correctness. Exams: We will have two in-class midterm exams, and a comprehensive final exam, according to the following schedule: Exam 1 Thursday, February 16, 2012 Exam 2 Thursday, April 5, 2012 Final Exam Tuesday, April 26, 2012, 12:10 - 2:00pm, PSA 306 All exams will be closed-book, closed-note, and non-collaborative. The final exam will be used as Part 2 of the Real Analysis qualifying exam independently of the grading for the course. Grading: Homework problems are graded out of 6 points, as described below. Notice that a perfect score doesn't imply a perfect solution, and fully half credit is awarded simply for evidence of an honest effort. Regardless of your score, it should be useful for you to compare your work with mine (if available) and those of other students. 6: Correct or basically correct 5: Mostly good work, with some problems 4: Some good work, but some fundamental problems 3: Honest effort is evident, but little else 0: No effort, bad-faith effort, trivial solution, or no work shown Final grades for this course will be assigned according to the following scheme: Homework 30% Exam 1 20% Exam 2 20% Final Exam 30% A grade of incomplete will be awarded only in the event that a documented emergency or illness prevents a student who is doing acceptable work from completing a small percentage of the course requirements. The guidelines in the current general ASU catalog regarding a grade of incomplete will be strictly followed. Make-Up Policy: No late homework will be accepted. Make-up midterm exams will be given at the instructor's discretion and only in the case of a verified medical or other emergency, or a conflicting university-sanctioned activity. When possible, the instructor must be notified before the exam is missed, and adequate documentation must be provided before the make-up will be given. Students participating in university-sanctioned activities need to identify themselves prior to missing class and provide the instructor with a copy of their travel schedule before arrangements will be made to make up missed work. Exceptions to the final exam schedule and requests for make-up finals cannot be granted by the instructor. Please refer to the School's final exam policy for details. Honor Policy: The highest standards of academic integrity are expected of all students. The failure of any student to meet these standards may result in suspension or expulsion from the University, or other sanctions as specfied in the University Student Academic Integrity Policy. Violations of academic integrity include, but are not limited to: cheating, fabrication, tampering, plagiarism, or facilitating such activities. In particular, it is a violation to discuss an exam you have taken with a classmate who has not. Resources: You may find the following web sites helpful: > Learning Resource Center > Disability Resources Center Disclaimer: The policies, syllabus, and assignments on these pages are subject to change; changes will be announced in class, or on this web site. It is recommended that you revisit this web site often to keep abreast of changes. Remember that you may need to reload a page in your browser to see the most recent version. Last Modified: Thu Apr 5 12:30:42 MST 2012 School of Mathematics and Statistics Arizona State University