
Course Overview Math 171 is an introductory course in real analysis. Topics will include metric spaces, compactness, completeness, convergence, differentiation in Euclidean space, and the Riemann integral. This course also satisfies the Writing in the Major requirement, and there will be an emphasis on producing clear mathematical arguments. Final Exam Information The final exam will be held in room 380380C from 12:15 to 3:15. The exam will have 11 questions, and you do not need to solve all of them to do well on the test. I will have office hours on Monday evening from 7:009:00 p.m., and of course, you're welcome to email me with any questions you have before then. Good luck! Text The primary text for the course will be Elementary Classical Analysis by Marsden and Hoffman. Supplemental materials may be added to the Materials section on Coursework as the quarter progresses. Contact information The best way to reach me is by email at jelicata(at)stanford(dot)edu. You're also encouraged to come to my office hours, which will be on Monday from 4:005:30 p.m. and Tuesday from 2:304:00 p.m. My office is on the second floor of the math department, room 382K. If you can't make these times, please email me and we can set up an appointment to meet. The CA for the course is Kaiyuan Zhang, and you can email him at kzhang(at)math(dot)stanford(dot)edu. Kaiyuan will have office hours on Tuesday (7:309:00 p.m.) and Thursday (10:0011:30 a.m.) in 380G. (The change to Tuesday office hours is by popular request.) Also, Zach Cohn (the WIM grader) will be available for help with the writing project on Thursdays from 4 to 6. Evaluation Course grades are determined by homework (25%), the midterm (25%, May 5), the final exam (40%, June 10), and the writing project (10%). Homework will be due at the beginning of class every Wednesday. No late assignments will be accepted, but you may contact me to arrange an extension ahead of time if necessary. (The night before does not constitute "ahead of time".) Homework must be stapled. You are encouraged to work on the problem sets with other members of the class, but each individual must understand and write up his or her own solutions. Also, please acknowledge your peers' contributions; if you work with other students on an assignment, indicate who your collaborators are. Solutions to the problem sets will be posted weekly in the Materials section on Coursework. Throughout the quarter, you will be asked to type some of your homework problems, and writing project must also be typed. If you've never used a mathematical typesetting program, the LaTeX link above can help you get started. In addition to teaching, I also do research in topology on knots and geometric objects called threemanifolds. You can visit my homepage if you'd like to see what kind of research I do. 