Math 324D
Old Communications

Week 1,Week 5

Week 5

Notes on Differential forms

I finally finished the notes on Differential forms. You can find the pdf version here. We will use these notes for the last week of class. The material covered in them will be mostly in the Final (I will specify later which parts). There are some exercises, that I strongly recommend you to do (of course, after we have covered the material in class).

Week 1

Introduction

Math 324, Advanced Multivariable Calculus I, is at the same time the natural prosecution of the Calculus sequence, and the first in the Advanced Calculus sequence. In this sense, it is based on the material covered in the 124-125-126 sequence (or 134-135-136), but it is more abstract in the material covered, with topics like vector fields and their integration. For a brief description of the course, and the prerequisites, see here.
The text is Calculus, by Stewart, sixth edition. You may use the paperback Multivariable Calculus, by Stewart, which starts with chapter 10. We will cover (essentially) the final parts of chapters 14, 15, and then we will focus on chapter 16. Be sure to be confident on the topics in the first parts of chapters 14 and 15, and in chapter 12.