Math 117: Real Analysis
Professor: Katy Craig, katy•craig at ucsb • edu , SH 6507
Teaching Assistant: Jose ZavalaFonseca, jtz at ucsb • edu
Syllabus:
Flipped Class: This is a flipped class. Before class, you will watch lectures asynchronously. During class, you will work in groups on the homework, and I will give targeted "minilectures" to explain difficult points. Office Hours: Craig: Thursday 2:303:30pm and Friday 12pm in SH 6507 (Starting 5/2 office hours will be Monday 23pm instead of Thursday) ZavalaFonseca: Thursday 57pm in math lab Grading Scheme: homework: 20%, quizzes 15%, highest midterm: 30%; final: 35% If you have questions about the grading of any assignment or exam, you have one week after it is graded to request a regrade via gradescope. Prerequisites: Math 8 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:
Exams:

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  uniform continuity and limits of functions 
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 at 11:59pm on Sunday, May 22nd. 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. (You are allowed to work in groups, but then the extra credit points will be distributed equally among all members of the group.)
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: