Math 3220 §1 Foundations of Analysis II September 21, 2007 MTWF 9:40 - 10:30 in JTB 110. Instructor: A. Treibergs, JWB 224, 581­8350. Office Hours: 10:45-11:45 MWF (tent.) & by appt. E-mail: treiberg@math.utah.edu Homepage: http://www.math.utah.edu/~treiberg/M3223.html Text: Joseph L. Taylor, "Foundations of Analysis," (2007) PDF Notes available for download from http://www.math.utah.edu/~taylor/foundations.html Grader: Aaron Cohen E-mail: http://www.navigamus@yahoo.com Grading Homework: To be assigned weekly. Homework, due Fridays, will be collected in class. Papers turned into the grader's mailbox in the Math mail room (JWB 228) by 3:00 PM Fridays before the grader leaves will be regarded as being turned in on time. Homework that is late but not more than one week late will receive half credit. Homework that is more than one week late will receive no credit at all. Exams: On exams you will be allowed to bring in a "cheat sheet," a single 8.5" x 11" page of notes. The exams will otherwise be closed book: no calculators, laptops, text messangers, other notes or books will be allowed. Midterms: There will be three in-class one-hour midterm exams on Wednesdays Sept. 5, Oct. 3 and Nov. 7. Final Exam: Tue., Dec. 11, 8:00-10:00 AM. Half of the final will be devoted to material covered after the third midterm exam. The other half will be comprehensive. Students must take the final to pass the course. Course grade: Best two of three midterms 36% + homework 37% + final 27%. Withdrawals: Last day to drop a class is Aug. 29. Last day to add a class is Sept. 4. Until Oct. 19 you can withdraw from the class with no approval at all. After that date you must petition your dean's office to be allowed to withdraw. ADA: The Americans with Disability Act requires that reasonable accommodations be provided for students with cognitive, systemic, learning and psychiatric disabilities. Please contact me at the beginning of the quarter to discuss any such accommodations you may require for this course. * * * Objectives: To refine our skill at proof and facility with computation, to gain an appreciation for abstraction from the concepts of topology and metric spaces, and to learn the theory behind multidimensional calculus. Topics: We shall try to cover the following chapters Chapter 7. Convergence in Euclidean Space Chapter 8. Functions on Euclidean Space Chapter 9. Differentiation in Several Variables Chapter 10. Integration in Several Variables