The course materials posted here consist of three components:
Complete lecture notes are pdf files with all content of this course. Each chapter of these notes includes exercises which will be used in homework assignments. Notes posted on this website are split into chapters, but a pdf file with all notes and a LaTex source file are available here.
Blank lecture notes are extracts from the complete lecture notes. They contain definitions and statements of theorems, and leave a lot of blank spaces which are intended to be filled with your own notes.
Videos present material of this course. In each video I annotate blank notes with proofs, examples etc. while explaining what I am doing.
The intended use of these resources is as follows:
Print the blank notes (if you can), and watch videos while annotating them along with me. If you don’t have access to a printer, you can just take notes in your own notebook - the blank notes do not contain much text anyway. Watching videos without taking notes is an option, but you will understand and remember much better if you are actively engaged with the content. Think about it as an equivalent of taking notes during a lecture.
In the videos I may occasionally omit some example or details of a proof, so if something
seems unclear, have a look at the complete lecture notes - you may find the answer there.
If your questions persist, ask them in your Weekly Digest, during a class meeting or on
Discord.
I tried to prepare the videos in such way, that it should be relatively easy to watch them one page of blank notes at a time. So, if you watch enough to finish a page, then you should be able to pick up where you left off at a later time without difficulty. Materials for each chapter list links to parts of videos where each page of blank notes starts.
If you don’t like watching videos, you can just read the complete lecture notes. They cover all material and they are self-contained. If you choose this route, you should still keep notes as you read. Passive reading or watching is not a good way to learn mathematics.