Spring 2013 http://www.math.hmc.edu/~su/math131/ Professor Francis Su
Graders/Tutors:
Rosalie Carlson, Liz Sarapata, Eric Stucky


This course is a rigorous analysis of the real numbers, as well as an introduction to writing and communicating mathematics well. Topics will include: construction of the real numbers, fields, complex numbers, topology of the reals, metric spaces, careful treatment of sequences and series, functions of real numbers, continuity, compactness, connectedness, differentiation, and the mean value theorem, with an introduction to sequences of functions. It is the first course in the analysis sequence, which continues in Real Analysis II. 
Goals of the course:
Required Text: Walter Rudin, Principles of Mathematical Analysis, McGrawHill. We will cover Chapters 1 through 5. There are also many other books on analysis that you may wish to consult in the library, around the QA300 area.
Homeworks, and ReWrites: Due at my office (Olin 1269) by 5:15pm on Thursdays. Because I want you to learn from the feedback you get on your homework, as well as improve your writing skills, I will use a system of (optional) rewrites for the first few assignments, which will work as follows:
LaTeX: some of you may find LaTeX helpful in typesetting your homework. If you'd like to learn LaTeX, or have questions about it, you can visit the CCMS Software Lab.
Midterms and Grading: There will be three midterms:
Honor Code: The HMC Honor Code applies in all matters of conduct concerning this course. Though cooperation on homework assignments is encouraged, you are expected to write up all your solutions individually. Thus copying is prohibited, and you should understand your solutions well enough to write them up yourself. It is appropriate to acknowledge the assistance of others; if you work with others on a homework question, please write their names in the margin. Note that some of the homework problems in this course have been assigned in prevous semesters. Copying work from published solutions (or solutions of past students) is a violation of the HMC Honor Code and will be handled accordingly.
Taped YouTube Lectures:
These lectures were taped in 2010, and although the lectures I give this year may not be identical, they will be close enough that you may find it valuable to use them for review. Or, better yet, watch them before the class lecture, and then during class you can ask questions! (The taped classes were 75 minutes long, so the lecture numbers will not line up with this year's MWF 50 minute classes.) 
Homeworks, due Thursdays at 5:15pm,
in box outside my office (Olin 1269).
All HW's refer Rudin's Principles of Mathematical Analysis. 

p.s. Be sure to subscribe to math131l (using listkeeper@hmc.edu) if you are not already getting emails from the list. 
If you want to do rewrites, see this guide. p.s. Be sure to subscribe to math131l (using listkeeper@hmc.edu) if you are not already getting emails from the list. 
Rewrites for HW#1 are also due. If you want to do rewrites, see this guide. 
Rewrites for HW#2 are also due. If you want to do rewrites, see this guide. Save a copy since you probably won't get the homework back in time to study for the exam. 
Rewrites for HW#3 are still due Thursday 2/28. 
Rewrites for HW#4 are also due. 
No further rewrites accepted. 
Spring Break Week 





