• Dec. 16: Solutions to the final exam are now availabe on our Canvas page under the Files tab.
  
• Dec. 11: For the Final Exam, your TA will hold office hours 9:00-11:00 AM on Monday Dec. 14, and I will hold office hours 8:00 - 10:00 PM Monday Dec. 14.
  
• Dec. 11: Solutions to the practice finals are now available on our Canvas page under the Files tab. Practice A Solutions, Practice B Solutions
  
• Dec. 8: Two practice versions of the final exam can be found on our Canvas page under the Files tab. Practice A, Practice B
  
• Nov. 26: Solutions to both version of the second midterm are now available on our Canvas page under the Files tab.
  
• Nov. 23: This week I will not have my usual office hours. Instead I will have office hours Tues. 12:30 - 2:00 PM and 7:00 - 8:30 PM. Also, your TA will have an extra office hour Wed. 8:00 - 9:00 AM in addition to his normal office hours.
  
• Nov. 23: Solutions to the practice midterms are now available on our Canvas page under the Files tab. Version A Solutions, Version B Solutions
  
• Nov. 19: I have added two practice versions of the Second Midterm to our Canvas page under the Files tab. Version A, Version B
  
• Nov. 9: This Wednesday is a university holiday. We will not have lecture and I will not hold my usual office hours. Instead, my office hours this week will be Th. 3-5 PM and F 1-2 PM. Similarly, your TA will not have his usual office hour on Wednesday but will instead have an office hour F 4-5 PM.
  
• Nov. 9: As mentioned in an email everyone should have received, I propose offering the second midterm at normal class time and twelve hours later. Pleast try to make one of these times fit your schedule if you can, as we have a large class. If you absolutely can't make either time work then you must notify me by email by Sat. Nov. 14 at the latest. If several students cannot take the exam at these times I may propose a different schedule for the exam.
  
• Oct. 29: The deadline for HW4 has been extended to Monday Nov. 2nd at 9:00 PM Pacific Time
  
• Oct. 28: Solutions to both versions of the first midterm are now available on our Canvas page under the Files tab.
  
• Oct. 25: Solutions to the practice midterms are now available on our Canvas page under the Files tab.
  
• Oct. 23: During the week of the first midterm my office hours will be M 6:30 - 8:00 PM, Tu 12:00 - 1:30 PM, and Th 1:00 - 2:00 PM.
  
• Oct. 20: I have created two practice versions of the First Midterm. You can find these practice exams under the Files tab on our Canvas page.
  
• Oct. 14: You can now access a PDF with the notes and hints that I create with students during office hours. Office Hour Notes
  
• Oct. 12: As mentioned in an email each of you should have received, each of our midterms will be offered at two different times in order to accomodate students located in different time zones. I propose offering the first midterm at normal class time and twelve hours prior (each with a duration of one hour to complete and upload the exam to Gradescope). Please try to make one of these times fit your schedule if you can, as we have a large class. If you absolutely can't make either time work then you must notify me by email by Sat. Oct.17 at the latest. If several students cannot take the exam at these times then I will create a poll to find a time that works for everyone.

Professor: Brandon Seward (pronouns: he/him/his)
Email: bseward@ucsd.edu
Lecture: MWF 11:00-11:50 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 & 2:00 - 4:00 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. 6:00-6:50 via Zoom (navigate to https://ucsd.zoom.us/j/93036015847 or use Meeting ID 930 3601 5847)
A02 Discussion: Thurs. 7:00-7:50 via Zoom (navigate to https://ucsd.zoom.us/j/92301387495 or use Meeting ID 923 0138 7495)
Office Hours via Zoom (morning): M 8:00-9:00 AM and Th 8:00-9:00 AM (navigate to https://ucsd.zoom.us/j/98724904020 or use Meeting ID 987 2490 4020)
Office Hours via Zoom (evening): Tu 6:00-7:00 PM and W 6:00-7:00 PM (navigate to https://ucsd.zoom.us/j/95926070197 or use Meeting ID 959 2607 0197)

Course Descritption: First course in a rigorous three-quarter sequence on real analysis. Topics include: the real number system, basic topology, numerical sequences and series, continuity.

Textbook: Principles of Mathematical Analysis by Walter Rudin, 3rd edition. We will cover Chapters 1 through 4 (excluding the appendix to Chapter 1).

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.
• Construction of the real numbers by Dedikind cuts - see the appendix to chapter 1 of the course textbook
  
• Construction of the real numbers by Cauchy sequences (by Professor Todd Kemp - this will make more sense after we discuss Cauchy sequences in class)
• Uniqueness of the real numbers and containment of the rationals (this is a copy of my Piazza note posted on Oct. 7).
  

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 strongly encouraged to use. As part of their weekly office hours, the professor and teaching assistant will spend time each week responding to discussions on piazza (see above for specific hours). Our piazza page is here: https://piazza.com/ucsd/fall2020/math140a.

Homework: Homework will be assigned regularly and due on Fridays at 9:00 PM. No late homework will be accepted, but your lowest homework score will be dropped when computing your final grade. 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 D522XY.

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 where students will have to solve similar problems and/or comment on their exam solutions.

• First Midterm (Eastern, Western): Practice A (solutions), Practice B (solutions). Covers Chapter 1 (not the appendix) and the first two sections of Chapter 2 ("Finite, countable, and uncountable sets" and "Metric spaces"). The exam will be offered at two times:
  
• either during our normal class time (11:00 - 11:50 AM on Wed. Oct. 28, local San Diego time)
• or 12 hours prior (11:00 - 11:50 PM on Tues. Oct. 27, local San Diego time)
• Second Midterm (Eastern, Western): Practice A (solutions), Practice B (solutions). Wednesday Nov. 25. Covers the last three sections of Chapter 2 ("Compact sets," "Perfect sets," and "Connected sets") and most of Chapter 3 (excluding "Addition and Multiplication of Series" and "Rearrangements"). The exam will be offered at two times:
• either during our normal class time (11:00 - 11:50 AM on Wed. Nov. 25, local San Diego time)
• or 12 hours later (11:00 - 11:50 PM on Wed. Nov. 25, local San Diego time)
  
• Final Exam: Practice A (solutions), Practice B (solutions). Tuesday Dec. 15 from 11:30 AM to 2:30 PM. Covers Chapters 1 through 4 (excluding the appendix to Chapter 1), with a greater focus on Chapter 4. The exam will be offered at two times:
• either during the normal scheduled time (Tues. Dec. 15 from 11:30 AM to 2:30 PM, local San Diego time)
• or 12 hours later (starting Tues. Dec. 15 at 11:30 PM and ending Wed. Dec. 16 at 2:30 AM, local San Diego time)
  

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 the instructor as soon as possible.

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