Math 140B: Foundations of Real Analysis II, Winter 2019

Instructor: Ioan Bejenaru

Office: AP&M 5111
E-mail: ibejenaru@ucsd.edu; Include Math 140 in the subject line.
Office Hours: Tu 3:30-4:20pm, Th 10-10:50am
I can also schedule appointments upon request. E-mail at the address above.

Teaching Assistants

Haiyu Huang (A01)	Pieter Spaas (A02)
E-mail: hah019@ucsd.edu	E-mail: pspaas@ucsd.edu
Office: APM 5218	Office: APM 6444
Office hours: M 2-3pm, F 2-3pm	Office hours: M 12-1pm, F 3-4pm

Announcements:

• Final exam information. OH during the final week:
  - Tuesday 2-4pm in APM B412 - OH+review session by Pieter
  - Wednesday 1-3pm in APM B402A - OH+review session by Haiyu
  - Mo 11-12, Tu 11:30-12:30, Th 10-11 OH in APM 5111
  
• Second midterm information. Material covered: Chapter 6, Chapter 7 up to (and including) The Stone-Weierstrass theorem.
  Important: No cheat sheet is allowed.
  
• First midterm information. Material covered: Chapter 5 in full, Chapter 6 up to (not including) Theorem 6.17
  Important: No cheat sheet is allowed.
  OH: my office hour on Tuesday will take place from 10-10:50am instead of the usual time.
  Hints for preparing for the midterm: Make sure you read the theory and examples, both from textbook and notes. Go over the homework problems, partial solutions are provided below, next to each homework set. If time allows, practice on the problems which were not assigned (but related to the chapters covered).
  
• All course information will be updated on this site. TED will be used only for recording scores for HW, Midterm, Final.

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  Prerequisites: Math 140A or consent of instructor.

  Course description: First course in a rigorous three-quarter sequence on real analysis. Topics include: differentiation, integration, sequences and series of functions, some special functions.

  Textbook: Principles of mathematical analysis by Walter Rudin. We will cover most of chapters 5-8.

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  Homework: Homework will be assigned weekly. Homework is due every Monday at 5pm and should be placed in the drop-box in the basement of APM. No late homework will be accepted. If, for any reason, you cannot turn in a homework assignment, keep in mind that the lowest two scores will be dropped.
  

  Midterm Exams: There will be two in-class midterms: the first on Tuesday, January 29th, and the second on Thursday, February 28th. There will be no make-up exams. If, for any reason, you cannot make it to one of the midterms, you will automatically receive grading option (2).

  Final exam: The final exam is scheduled for Thursday, March 21, 3-6pm.

  Exam policy (applies to all midterms and final): Cheating will be taken very seriously and automatically reported to the Academic Integrity Office. The use of any electronic devices (cell-phone, smart watch, earbud, calculator, etc) is prohibited during exams and it will be considered cheating, thus it will be reported to the Academic Integrity Office.

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  Grading: Your final score will be calculated as the maximum of the following two schemes:
  (1) 20% Homework + 20% First Midterm + 20% Second Midterm + 40% Final Exam
  (2) 20% Homework + 20% Best Midterm Exam + 60% Final exam

  In addition you must earn a passing grade on the final examination in order to pass the course.

  Regrades: Homework and midterm exams will be returned in the discussion sections. If you wish to have your homework or exam regraded, you must return it immediately to your TA. Regrade requests will not be considered once the homework or exam leaves the room. If you do not retrieve your homework or exam during discussion section, you must arrange to pick it up from your TA within one week after it was returned in order for any regrade request to be considered.

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  List of homework assignments:

  • Homework 1, due January 14: 1,2,4,5,6,9,22,23 from Chapter 5.     Solutions
  • Homework 2, due January 22 (note the one day extension due to MLK holiday): Homework problems ,     Solutions
  • Homework 3, due January 28: Homework problems ,     Solutions
  • Homework 4, due February 11: Homework problems ,     Solutions
  • Homework 5, due February 19 (note the one day extension due to holiday): 1,4,5,6,7,8,9,10,12 from Chapter 7; Problem 14 is optional.     Solutions
  • Homework 6, due February 25: Homework problems ,     Solutions
  • Homework 7, due March 4: Homework problems ,     Solutions
  • Homework 8, due March 11: Homework problems ,     Solutions
  • Homework 9, not to be handed in: 12,13,14,15     Solutions