Real Analysis II.
This course is a continuation of Math 131. Glad you could join us! There's a lot of interesting and deep ideas in this course that you will enjoy learning about. Topics include: Riemann-Stieltjes integration, function spaces, equicontinuity, uniform convergence, the inverse and implicit function theorems, differential forms, and an introduction to Lebesgue integration and measure theory.
Text: Rudin's Principles of Mathematical Analysis.
Course webpage: http://www.math.hmc.edu/~su/math132/.
Lectures: Lecture notes are posted here (for the semester only): bit.ly/math132-fall2018.
Coursework: Homeworks will be assigned and collected weekly. Lowest homework score will be dropped. There will be one midterm and one final exam. Each component (homework, midterm, final) is worth at least 30% of your final grade, with the "best" component worth 40%.
Honor Code: Cooperation on HW assignments is ﬁne (and in fact encouraged), but appropriate acknowledgements should be given, and you are expected to write up your solutions INDIVIDUALLY, i.e., it should be the case that after said cooperation you have understood the solution well enough to explain it on the homework! It is appropriate to acknowledge the assistance or cooperation of others when given.
Absences, late homework: The learning you are doing in this class takes place in a larger framework of school and life. While I am excited about teaching and I'm sure you are excited about learning, work is not the most important thing, and sometimes life outside the classroom can take precedence. I can be somewhat flexible in accomodating requests for homework extensions and absences for other important events. Please make these requests 24 hours in advance, if possible.
Similarly, 'success' by whatever measure is not the most important
thing in this course either. Every assessment of your work in this
class is a measure of progress, not a measure of promise. Joy,
wonder, productive struggle, having your mind expanded---these are more important!
Homeworks, due Wednesdays in box outside my
office door by 2pm (Shan 2416).