Math 55 Attempt

Math 55 (Yes, that one)

It's been over a year! I've decided to steal some materials from Harvards Math 55, and attempt some self-paced learning.

For reference, and for those who want to play along at home, I'll be using the materials here:

https://canvas.harvard.edu/courses/75936/assignments/syllabus

https://canvas.harvard.edu/courses/79090/assignments/syllabus

I'm expecting this to be painful and difficult, but hopefully I'll come away from it with something valuable. 

Homework 0-1:

As you'd expect, these exercises are very preliminary in nature. As you may or may not expect, they are also quite difficult. I've answered many of them before in some form, but it's always nice to write out some proofs to cement your intuition.

First

Learning to Read: 

Lately, I've been finding myself unable to understand some problems in terms of mathematics, which seems like a waste of an entire university degree, and so with the all the level-headedness and balance of a wounded rabbit, I've decided to retread some of my mathematical education, and learn some new stuff too.The first subject in the list below is a retread, but everything thereafter will be sort of new.

1. Multivariable Analysis
2. Complex Analysis
3. Differential Equations (ODEs, PDEs)

I also want to squeeze in some algebra at some stage, but we'll see how we go. I'd also like to include less formal descriptions of how I understand the concepts at play. The name, learning to read, comes from the upsetting times staring at magical runes, hoping that meaning will somehow emerge.