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Remarks on doing the homework.

The homework is an important (most important) part of this class. The homework is your best chance to learn the material in this course. You may consult others on the problems, but in the end you are responsible for understanding the material. I suggest that you try all the problems on your own before consulting others. Even false starts on problems will help you learn.

Here is what the TA will be looking for in your solutions.

  1. The solutions must be written clearly. This includes reasonable handwriting (preferably typed in LaTeX!!!!) and good English. If the TA has to struggle to read what you have written, she will not grade the problem!
     
  2. The solutions should be complete and clear. A good rule of thumb is: if you have some doubt about your solution it is probably wrong or at best incomplete.
     
  3. Results that you use in your proof from undergraduate analysis or from the text book or from the lecture notes should be stated clearly. Here is an example of what I am looking for:

    ... So we have shown that fn converges to f uniformly. Since each fn is continuous and the uniform limit of continuous functions is continuous, we know that f is continuous.

    The reference to a theorem from undergraduate analysis is underlined.

    4. 240C (Spring 2018) Homework Assignments

    • Book problems are from Gerald B. Folland, Real Analysis: Modern Techniques and Applications, 2nd edition, Wiley, 1999.
    • Homework C1 (Due Friday, April 6, 2018)
    • HomeworkC2  (Due Friday, April 13, 2018)
    • Homework C3 (Due Friday, April 20, 2018)
    • Homework C4 (Due Friday, April 27, 2018) [Please postpone Exercise 1.33 (Sampling Theorem) to the next homework.]
    • Homework C5 (Due Friday, May 4, 2018)
    • Midterm is Monday May 7, 2018
    • Homework C6 (Due Monday, May 14,  2018)
    • Qual/Final Exam is Friday May 25, 2018

240B (Winter 2018 - Adrian Ioana) Homework Assignments

Problems from Gerald B. Folland, Real Analysis: Modern Techniques and Applications, 2nd edition, Wiley, 1999.

  • Homework 1, due January 18th: pages 107-108, problems 28, 30, 31, 32, 33, 37, 39.
  • Homework 2, due January 25th: page 118, problems 2, 3, 5, 6, and pages 123-124, problems 17, 21, 22, 24.
  • Homework 3, due February 8th: page 127, problems 30, 33, 34, page 130, problems 38, 39, and pages 134-135, problems 49, 54.
  • Homework 4, due February 15th: page 138, problems 59, 60, 63, 64, and page 142, problems 68, 69, 70.
  • Homework 5, due February 22nd: pages 155-156, problems 3, 6, 7, 12, and page 160, problems 17, 18, 19, 25.
  • Homework 6, due March 1st: pages 164-165, problems 30, 32, 36, 37, and pages 170-171, problems 44, 47, 51, 53.
  • Homework 7, due March 8th: pages 177-178, problems 57, 59, 61, 63, 64, 67.
  • Homework 8, due March 15th: pages 186-187, problems 5, 7, 9, 11, 13, 14, 15.
 

240A (Fall 2018 - Adrian Ioana ) Homework Assignments

Problems from Gerald B. Folland, Real Analysis: Modern Techniques and Applications, 2nd edition, Wiley, 1999.

  • Homework 1, due October 5th: exercises 1, 3, 4, 5 from page 24, and these two additional problems.
  • Homework 2, due October 12th: exercises 6, 12, 14 from page 27, and exercises 17, 18 (parts a and b), 24 from pages 32-33.
  • Homework 3, due October 24th : exercises 26, 28, 29, 30, 31 from pages 39-40, and this additional problem.
  • Homework 4, due October 26th: exercises 3, 4, 5, 6, 7, 8, 10, 11 from pages 48-49.
  • Homework 5, due November 2nd: exercises 14, 15, 16 from page 52, and exercises 19, 20, 21, 26 from pages 59-60.
  • Homework 6, due November 9th: exercises 34, 35, 36, 38, 42, 44 from page 63.
  • Homework 7, due November 16th: exercises 39, 40 from page 63, and exercises 45, 46, 48, 51 from pages 68-69.
  • Homework 8, due November 30th: exercises 53, 56, 59 from pages 76-77, and exercises 4, 6, 7 from page 88.
  • Homework 9, due December 7th: exercises 13, 16, 17 from pages 92-93, and exercises 20, 21 from pages 94-95.