This is the second semester of Undergraduate Analysis — Mathematics 402. You can find the webpage for the 401 class I taught Fall of 2020 here.

What We Will Cover

We covered chapters 11-12 of this book:

Link to book (updated after this class)

(Note that this version is the most recent as of December 2023, quite awhile after this class!)

Note that the book is very much a rough draft right now, some pieces are not even spell checked! Other references are Lindstrom’s Spaces and Fleming’s Functions of Several variables.

Errata Document

If you find typos in the draft of the book (and there are lots of them) feel free to add them here, assuming you know enough LaTeX to do that:

https://www.overleaf.com/9562392491mfdcynmhfbgq

Where and When

The class is held on zoom this semester: Zoom 838 1986 9887 (the password is sent out to you if you are registered). And we meet from 1:10 - 2:00 Monday, Wednesday and Friday.

Notes from the class sessions

  1. January 22, 2021

  2. January 25, 2021

  3. January 27, 2021

  4. January 29, 2021

  5. February 1, 2021

  6. February 3, 2021

  7. February 5, 2021

  8. February 8, 2021

  9. February 10, 2021

  10. February 12, 2021

  11. February 17, 2021: No Notes

  12. February 19, 2021

Assignments

  1. Preparation for January 25, 2021: Read Section 8.3, work through exercise 8.2.1

  2. Preparation for January 27&29, 2021: Read sections 8.2, 8.3 and work through the (corrected) exercise 8.2.1

  3. Preparation for February 5-8, 2021: Read Section 8.4, work on Exercises 8.3.2-8.3.4

  4. Preparation for February 10-12, 2021: Again, Section 8.4 and the exercises in the section

  5. Preparation for February 17-22, 2021: Read 8.5 and 8.6 … begin to solve Problems 10.1.1 and 10.1.2