Math 44500

Foundations of Analysis II

Spring 2010

Time: Tuesday and Thursday, 4:30 - 5:45 pm
Place: LD 002
Textbook: Closer and Closer: Introducing Real Analysis, by Carol S. Schumacher. One can find the table of contents here and the errata here.
Instructor: Michal Misiurewicz
Office: LD 224F
Phone: 274-8101
Office Hours: Tuesday and Thursday, 2:00 - 2:50 and 6:00 - 7:00 pm.
Course description: This is the second unit of the 2-course sequence (Math 44400 and Math 44500). The objective of those courses is to teach students basic ideas of Mathematical Analysis at a substantially higher level of abstraction and rigor than in Calculus courses. This semester's material covers approximately Sections 6 - 12 and J of the textbook.

Grading policy: Each week there will be homework assigned, to be submitted for grading. The homework scores will constitute 30% of the total score. There will be three tests. The lowest test score will be dropped. The test scores will constitute 40% of the total score. There will be also a comprehensive final examination. The final exam score will constitute 30% of the total score.
You need approximately 80% of the maximum possible score for A-, 66.7% for B-, 53.3% for C-, and 40% for D-.
Final Examination: Tuesday, May 4, 3:30 - 5:30 pm.
Withdrawal deadline: April 2. Details can be found here.

Academic Integrity: The IUPUI Department of Mathematical Sciences expects all students to adhere to the regulations put forth in the "IUPUI Code of Student Rights, Responsibilities, and Conduct" concerning academic or personal misconduct. The Code of Conduct can be found here.
Cheating on assignments and tests or other academic works is a violation of university policy. Any behavior that is construed as cheating or academic dishonesty will not be tolerated in this course. This includes, but it is not limited to, plagiarism, cheating during exams, acquisition of tests or other academic materials, as well as aiding and abetting others in committing the violation. The classroom protocol will be guided by the Student Code of Conduct which, among other things, asserts IUPUI's commitment "to maintain[ing] a spirit of civility in a community in which diversity is welcomed. Every student, staff, and faculty member plays a significant role in promoting an environment that is conducive to academic excellence by fostering a climate of civility and mutual respect."



Homework assignments:

  • Page 153, Problem 2 - for January 26
  • Page 180, Problem 6 - for February 2
  • Page 186, Problem 3 (a) - for February 9
  • Page 196, Problem 5 - for February 16
  • Prove that if f is an integrable function and K is a constant, then the function Kf is integrable - for March 11
  • Prove that if X is a space with the discrete metric then every subset of C(X) is equicontinuous - for April 15

    Last updated: April 13, 2010
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