Intermediate Real Analysis IIMAT 473 / Spring 2012 / SLN 26500 Instructor: Steve Kaliszewski Schedule: TTh 10:30-11:45am Location: ECG G305 (Tempe campus) Www: math.asu.edu/~kaz/mat473/12s/ Course Description: This course is a continuation of MAT 472, Intermediate Real Analysis I. The focus is on analysis in n-dimensional Euclidean space, including differentiation and Lebesgue integration. Time permitting, we will give an introduction to manifolds. It is intended that MAT 472-473 be accessible to undergraduate math majors, and that the courses prepare them well for graduate real analysis courses at all universities. > Final Exam Review Sheet(.pdf) > Exam 1 Review Sheet(.pdf) > Lecture Notes > Homework Solutions ASSIGNMENTS:14.Due Thursday, April 19: Exercises 25.2 and 25.3.13.Due Thursday, April 12: Exercises 22.3 and 22.5.12.Due Thursday, April 5: Exercises 21.2 and 21.3.11.Due Thursday, March 29: Exercises 18.3 and 19.4.10.Due Thursday, March 15: Exercises 17.1 and 17.2.09.Due Thursday, March 8: Exercise 16.2 parts (ii) and (vii), and Exercise 16.4.08.Due Thursday, March 1: Exercises 14.1 and 15.1.07.Due Thursday, February 23: Exercises 12.2 and 13.2.06.Due Thursday, February 16: Exercises 10.3 and 11.2.05.Due Thursday, February 9: Exercises 8.1 and 9.1(a,b).04.Due Thursday, February 2: Exercises 6.3 and 7.3.03.Due Thursday, January 26: Exercises 4.2 and 4.3.02.Due Thursday, January 19: Exercises 3.2 and 3.4.01.Due Thursday, January 12: Exercises 1.1 and 1.3. Course Description: This is a continuation of MAT 472, Intermediate Real Analysis I. The focus in this course is on analysis in n-dimensional Euclidean space, including differentiation and Lebesgue integration. Time permitting, we will give an introduction to manifolds. It is intended that MAT 472-473 be accessible to undergraduate math majors, and that the course prepare them well for graduate real analysis courses at all universities. Text: I will provide my own lecture notes for the course on this web site. Other potentially useful references include: W. Rudin,Principles of mathematical analysis, 3rd ed., McGraw-Hill, 1976. F. Jones,Lebesgue integration on Euclidean space, Jones and Bartlett, 1993. M. Spivak,Calculus on manifolds, Addison-Wesley, 1965. Homework: I will post lecture notes on this web site after each lecture, and the lecture notes will contain numbered homework problems. You should start working on these problems as soon as you can. I will ask that you turn in certain of these problems, roughly two per week, each Thursday at the start of class. I will let you know which problems to turn in by the Tuesday before they are due. Late homework will not be accepted, but 80% of the total possible will count as 100% in your final grade. You are encouraged to work together with your classmates on the homework, but you are required to write up and turn in the problems individually. Your solutions will be graded on presentation as well as correctness. Typically you will need to read and revise your solutions a few times before handing them in. Exams: We will have one midterm exam, and one comprehensive final exam, according to the following schedule: Midterm ExamThursday, March 8, 2012, in class Final Exam Tuesday, May 1, 2012, 9:50 - 11:40am, ECG G305 Both exams will be closed-book, closed-note, and non-collaborative. 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 45% Midterm Exam 1 22% Final Exam 33% 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 (the 80% rule compensates for this). A make-up midterm exam 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 SoMSS 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: Tue Apr 17 12:59:33 MST 2012School of Mathematics and Statistics Arizona State University