Math 361 Advanced Calculus

Basic Information

Instructor: Lechao Xiao

Email: xle (at) math(dot)upenn(dot)edu

Office: DRL 3N4C

Office Hours: Wednesday 1:30 - 2:30pm and by appointment

Lecture: TTh 1:30-3:00pm, DRLB 2C8

TA: Sea Moon Cho, seamcho(at)math dot upenn dot edu

TA office and office hours: DRL 3C13 and TBA

Course Information

Course Website: Course materials/communications will be posted on Canvas: https://canvas.upenn.edu/courses/1309264

Syllabus: here

Text: Principles of Mathematical Analysis, Third edition by Walter Rudin. We plan to cover the first 9-11 Chapters of the book.

Course Description: This is the continuation of MATH 360. We will cover the last three chapters of Rudin's book. In Chapter 9, we will study the theory of functions of several variables, including the inverse and implicit function theorems, the contraction principles, which have tons of application in mathematics. Chapter 10 is about the integration of differentiation forms, in particular we will (re)-study the Stoke's theorem. The last chapter is (Lebesgue) measure theory.

Grading Policy

Your grade for the course will be determined based on the following factors:

First Midterm Exam : 15%
Second Midterm Exam : 20%
Final Exam: 25%
Homework and Lab: 40%

Exams

Midterm Exam I: In class, Thursday Sep 29th.

Midterm Exam II: In class, Thursday Nov 3rd.

Final Exam : TBA

Homework

This course will feature weekly homework assignments. Homework will be posted on Canvas, roughly one week before the due date. Submissions must be submitted to Sea Moon Cho before 2pm on Friday. Collaboration on homework assignments is encouraged, but any work you turn in must be your own. If you collaborate with other students, please write down their names. Late homework will not be accepted but I will drop your lowest homework score.

Important dates

Jan 14, first day of class

Feb 16, First Midterm Exam

Feb 19, Drop Period ends

Mar 5-13, No Class (Spring break)

Mar 22, Second Midterm exam

Mar 25, Last day to withdraw

Apr 26, Last day of Class