Math 117: Real Analysis
Professor: Katy Craig, katy•craig at ucsb • edu
Teaching Assistant: Chris Dare, SH 6431D, dare at math • ucsb • edu
Syllabus:
Lecture: Lectures will be given asynchronously and posted on this website by Tuesday/Thursday at 11:59pm. Section: Our TA, Chris Dare, will lead a synchronous section each Monday from 1:453:45pm. Prof. Craig will lead a synchronous section each Thursday from 9:3011:00am. This is optional but highly recommended. Math 117 can be a very challenging course, and most students find the extra examples worked during section to be extremely helpful. Office Hours: Prof. Craig will hold office hours Monday from 3:455:15pm. Our TA, Chris Dare, will also hold office hours Tuesdays from 24pm. Grading Scheme: homework: 30%, quizzes and exams: 70% If you have questions about the grading of any assignment or exam, you have one week after it is graded to request a regrade. Prerequisites: Math 8 Camera Policy: All students are expected to turn their video camera on and actively participate during section and office hours. Students who are unable to turn their video camera on (e.g. broken webcam, NSFW roommmate) may contact Chris or myself directly to explain your situation. Textbook: Elementary Analysis by Kenneth Ross, 2nd edition Using the above link, you can purchase a paperback copy for $24.99 and download a PDF version for free. Do both. Discord Server: We have a class discord server, where you can ask questions about the course and collaborate with your classmates. A link to the server is available at the top of the Gauchospace page. Please treat this as a public channel and do not post private information. 
Quizzes and Exams: There will be five quizzes and one final exam. The final exam counts as two quizzes. All assessments will be administered using Gradescope. They will be open book, open note, and open any math website (for example, Wikipedia, Paul’s Online Notes, Wolfram Alpha, …). The only things that are NOT permitted are collaborating with fellow students or visiting websites that help you collaborate with others (for example, Chegg, Math Stack Exchange, Course Hero, Slader,...). Incidences of academic dishonesty will be treated harshly. There will be no retaking or rescheduling of quizzes or exams under any circumstances, as the grading scheme allows you to drop EITHER your two lowest quiz scores OR your final exam score, whichever results in a higher overall grade. There are two time options for each quiz. Whichever option you pick, you must stick with the same time for the rest of the quarter. TIME A: 6:00am7:15am TIME B: 9:30am10:45am
You must log into zoom and turn your video on while taking the quiz. I will be using the Zoom participant log and Gradescope logs to ensure that everyone is starting the quizzes at the correct time. Students who don’t log in to Gradescope at the correct time or who are not on Zoom for the entire time they are taking the quiz on Gradescope will have their quiz grade reduced by 30 points (out of 100). I will be present most of the time to proctor over Zoom, but I will not be present all of the time. In particular, those on TIME A should begin taking their quiz promptly at 6am, even if I don’t log in to Zoom until 6:05am or later. Homework:

Monday  Tuesday  Wednesday  Thursday  Friday 






Part I: Sequences  Part II: Functions 

the real numbers, inf, and sup  continuous functions 
limit, liminf, limsup  cts functions attain max and min on closed interval 
bounded, monotone, and Cauchy sequences  intermediate value theorem 
subsequences and the BolzanoWeierstrass theorem 
Extra Credit Math Movie Competition:
As an opportunity for extra credit, we will hold a math movie competition. The goal is to make the best math movie, lasting three minutes or less. Submissions are due on Sunday, May 23rd. The winner of the competition will receive ten points of extra credit on their final exam. Second place will receive five points of extra credit, and third place will receive three points of extra credit.
Submissions should be uploaded to YouTube, Vimeo, or a similar site. Links to the movies can be emailed to me. (Please do not send the movies as email attachments.)
Potential topic ideas for inspiration...
Do's and Don'ts:
Here are some of my favorite videos from previous years: