• March 11: Vatsa will hold office hours on Sunday March 14 from 9:00 - 11:00 AM.
  
• March 8: The Final Exam is one week from today. It will have the same format as the midterms and will cover everything we have learned this quarter, with an emphasis on material not covered on the midterms. Two practice exams are available: Pracice A, Practice B. I will also hold office hours on Sunday March 14 from 4:00 to 7:00 PM.
  
• Feb. 22: Office hours will be different this week for the exam: Brandon Tues. 4:00 - 7:00 PM, Vatsa Mon. 8:00 - 9:00 AM and Tues. 8:00 - 10:00 AM
  
• Feb. 17: The second midterm is one week from today. It will have the same format as the first exam and will cover all of Chapter 6 and the first five sections of Chapter 7 (ending with the section Uniform Convergence and Differentiation). Two practice exams are available: Practice A, Practice B
  
• Jan. 23: We will have different office hours this coming week due to the exam: Brandon Tues. 4:00-7:00 PM, Vatsa Mon. 8:00 - 10:00 AM and Tues. 8:00-10:00 AM
  
• Jan. 20: The first midterm is one week from today. It will be an asynchronous exam with a 24-hour window to complete it. The exam will be available from 11:00 AM Wed. Jan. 27 to 11:00 AM Thurs. Jan. 28 Pacific Time. Solutions will be uploaded on Gradescope. The exam will cover all of Chapter 5. Practice A, Practice B
  

Professor: Brandon Seward (pronouns: he/him/his)
Email: bseward@ucsd.edu
Lecture: MWF 11:00-11:50 AM via Zoom (navigate to https://ucsd.zoom.us/j/99316078691 or use Meeting ID 993 1607 8691)
Lecture Notes
Office Hours via Zoom: W 12:00 - 1:00 PM & 2:00 - 4:00 PM via Zoom (navigate to https://ucsd.zoom.us/j/99656671941 or use Meeting ID 996 5667 1941)
Office Hour Notes
Note: Office hours and lecture have different Meeting IDs!

Teaching Assistant: Srivatsa Srinivas (pronouns: he/him/his)
Email: scsriniv@ucsd.edu
A01 Discussion: Thurs. 8:00-8:50 AM via Zoom (navigate to https://ucsd.zoom.us/j/95698351083 or use Meeting ID 956 9835 1083)
A02 Discussion: Thurs. 9:00-9:50 AM via Zoom (navigate to https://ucsd.zoom.us/j/95698351083 or use Meeting ID 956 9835 1083)
Office Hours via Zoom (morning): Mon. 8:00 - 9:00 AM and Tues. 8:00 - 9:00 AM (navigate to https://ucsd.zoom.us/j/96571185429 or use Meeting ID 965 7118 5429)
Office Hours via Zoom (evening): Wed. 6:00 - 8:00 PM (navigate to https://ucsd.zoom.us/j/92745993151 or use Meeting ID 927 4599 3151)

Course Descritption: Second 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, 3rd edition. We will cover most of Chapters 5 through 8.

Additional Study Materials: (you will not be tested on these)

• A list of errata in the course textbook (by George Bergman)
  
• A supplement to the exercises in the course textbook (by George Bergman)
• Elementary Analysis: The Theory of Calculus by K. A. Ross, 2nd edition (standard textbook for 142A; less advanced but may be helpful. Available for free to UCSD students on the campus network, and can be found by searching in UCSD's Library Catalog).
• 140A-B Lecture Notes (by Professor Todd Kemp). Note that these lecture notes do not follow our textbook and may cover different topics. This is for reference only.
• The Devil's Staircase (by Professor Todd Kemp): a famous example of a monotone increasing function whose derivative is 0 "almost everywhere" ("almost everywhere" is defined in 140C / Chap. 11 of Rudin).
• The Weierstrass Function (by Professor Todd Kemp): a famous example of an everywhere continuous but nowhere differentiable function.
• Convolutions and the Weierstrass Approximation Theorem (by Matthew Bond): note offering a fuller explanation of the proof of Theorem 7.26 of the book by emphasizing the role of convolution operators. 
• Uniform convergence and integration: a counter-example: this note answers a question poised by a student in lecture about a possible generalization of Theorem 7.16.
  

Lecture: Lecture will occur live on Zoom (use meeting ID: 993 1607 8691 or navigate to https://ucsd.zoom.us/j/99316078691). Videos of our lectures will be posted on our Canvas page under the Media Gallery tab. Additionally, the Lecture Notes I write in class will be updated shortly after each lecture.

Community Interaction: Typically meeting in the classroom allows students the opportunity to get to know one another and discuss the course material together. Since class meetings will not occur, as a substitute we have a discussion forum on Piazza that everyone is encouraged to use. Our class piazza page is here: https://piazza.com/ucsd/winter2021/math140b.

Homework: Homework will be assigned regularly and due on Fridays at 9:00 PM. No late homework will be accepted. On each assignment, a few problems will be graded for correctness, while the others will be graded simply for completion. We will use Gradescope for turning in homework. When registering for gradescope, please register using your "@ucsd.edu" email address and use Entry Code YV7BE3.

Exams: The midterm exams will be taken at home and solutions will be uploaded to Gradescope. The exams will be open-book and open-note, but the use of online resources and help from other humans is forbidden. If cheating is suspected, students will be required to have a one-on-one zoom meeting to solve similar problems. Students found to be cheating will receive a 0 on their exam.

• First Midterm: Practice A, Practice B. From 11:00 AM Wed. Jan. 27 to 11:00 AM Thurs. Jan. 28 Pacific Time. Will cover all of Chapter 5.
  
• Second Midterm: Practice A, Practice B. From 11:00 AM Wed. Feb. 24 to 11:00 AM Thurs. Feb. 25 Pacific Time. Will cover all of Chapter 6 and the first five sections of Chapter 7 (ending with the section Uniform Convergence and Differentiation)
• Final Exam: Practice A, Practice B. From 11:30 AM Monday March 15 to 11:30 AM Tuesday March 16 Pacific Time. Will be cumulative (all of Chapters 5, 6, and 7 and all of Chapter 8 except for the last section "The Gamma Function"), with greater emphasis on material not covered on the midterms.
  

Grading: Your final grade will be the maximum of the following two weighted averages:

• 20% Homework, 20% First Midterm, 20% Second Midterm, 40% Final Exam.
• 20% Homework, 20% Best Midterm, 60% Final Exam

Special Accommodations: Students requiring accommodations should provide an OSD letter of certification and OSD accommodation recommendation to me as soon as possible.

---