Final Exam

[Final Exam Solutions]

The exam is now over

  • Submit in Gradescope (see guidelines below)
  • Deadline: 12:00noon EDT on Fri, May 8

General Information

  • The exam will cover the entire course material: Chap 1 (Sec 1–4), Chap 2 (Sec 1–3), Chap 3 (Sec 1–3), $L^p$ spaces from lecture notes, Chap 6 (Sec 1–4). It is understood that if we didn’t cover a certain topic in class then it will not appear on the exam.
  • Instead of the online lectures on Wed, Apr 29 and Fri, May 1, we will have reviews for the final exam
    • First review, Live Q&A on Piazza 11:30am–1:30pm EDT on Thur, Apr 30.
    • Second review, Zoom meeting, 11:30am-12:30pm EDT, on Fri, May 1 (connection information will be emailed).
  • Here are some practice problems

Exam rules

  • Open book, open everything.
  • Discussing the exam problems with anyone including your classmates or other students, or seeking external help is considered cheating.
  • You may cite results covered in this class (including homework) or in lower level real analysis classes without giving their proofs, unless the problem specifically forbids it. However, you should be careful citing external sources for advanced or different results, as you may not get full credit by doing so. Please ask if you are in doubt.
  • If you are having technical issues, or have questions, during the exam, you have to contact me without delay.

Submitting the exam

  • You do not need to print the exam.
  • Write the solutions of different problems on different pages. You may use as many pages per problem as you want.
  • Please make legible scans (see Gradescope’s Guide)
  • Important: leave generous margins for comments
  • Do not wait until the last minute to upload and submit your exam. The deadline will not be extended, unless there is a valid reason.

Midterm Exam 2

[Midterm Exam 2 Solutions]

The exam is now over

  • Submit in Gradescope (see guidelines below)
  • Deadline: 11:59pm EDT on Fri, Apr 24

General Information

  • The exam will cover Chapter 3 (Sections 2, 3), $L^p$ spaces from lecture notes, Chapter 6 (Sections 1, 2, 3). It is understood that if we didn’t cover a certain topic in class then it will not appear on the exam.
  • Instead of the online lecture for Wed, Apr 22, we will have two reviews for the exam
    • First review, Zoom meeting, 11:30am-12:30pm EDT, on Tue, Apr 21 (connection information will be emailed)
    • Second review, Live Q&A on Piazza, 11:30am-1:30pm EDT, on Wed, Apr 22.
  • The online lecture for Fri, Apr 24 will be cancelled.
  • Here are some
    [Practice Problems]
    mostly taken from Qualifying Exam Archive. You should also look at the problems in the textbook, including but not limited to your homework problems.

Exam rules

  • Open book, open everything.
  • Discussing the exam problems with anyone including your classmates or other students, or seeking external help is considered cheating.
  • You may cite results covered in this class (including homework) or in lower level real analysis classes without giving their proofs, unless the problem specifically forbids it. However, you should be careful citing external sources for advanced or different results, as you may not get full credit by doing so. Please ask if you are in doubt.
  • If you are having technical issues, or have questions, during the exam, you have to contact me without delay.

Submitting the exam

  • You do not need to print the exam.
  • Write the solutions of different problems on different pages. You may use as many pages per problem as you want.
  • Please make legible scans (see Gradescope’s Guide)
  • Important: leave generous margins for comments
  • Do not wait until the last minute to upload and submit your exam. The deadline will not be extended, unless there is a valid reason.

Midterm Exam 1

[Midterm Exam 1 Solutions]

Scheduled Thu 03/05, 2020, 8:00–9:30pm, in SC 239.

  • Exam will cover Chapters 1, 2, 3 (Section 1 only). It is understood that if we didn’t cover a certain topic in class then it will not appear on the exam.
  • No textbook, notes, or electronic devices are allowed.
  • We will have a review on Wed, Mar 4, in class.
  • The class on Fri, Mar 13 will be cancelled to compensate for the evening exam.

[Practice Problems]
(Updated on 03/01 to fix a typo in problem 11)

Lots of practice problems can be found here: