Math 44400

Foundations of Analysis I

Fall 2009

Time: Monday and Wednesday, 6:00 - 7:15 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
E-mail: mmisiure@math.iupui.edu
Office Hours: Monday and Wednesday, 2:00 - 4:00 pm.
Course description: This is the first 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 the first half of the contents of the textbook (Sections 1-9 and A-H; if time allows, we will cover more).

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: Wednesday, December 16, 6:00 - 8:00 pm.
Withdrawal deadline: Tuesday, November 17. 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:

  • Problem 2, page 24 (see Errata!) - for September 9
  • Prove that there is no rational number whose square is 12 - for September 16
  • Problem 4, page 60 - for September 23
  • Problem 4, page 86 - for October 5
  • Prove that if    a_n --> a    then    (-a_n) --> -a    - for October 12
  • Problem 2, page 124 - for November 2
  • Problem 7(b), page 332 - for November 11
  • Problem 8, page 341 - for November 30
  • Extra credit: see here - for November 30

    Last updated: November 18, 2009
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