> 1.1. Homework set #0: Diagnostic
> This is a special problem set: Its main purpose is to give you an idea of what is to come in this course, and to give me an idea of your level of familiarity with certain things (including proof writing). Do not expect to solve all these problems
I love this, and I wish I had seen more regular calibration-type assessments in my own education.
> 1.2. Homework set #0B: Additional problems
> The following problems are not solved in these notes; they shall be used for future homework sets.
Here's a set of problems that are representative of the prerequisite material, to give us both a sense of how well your foundations match what I'm assuming at the start of the course. And here's a second set of problems that represent the sort of things you can expect to be able to solve once you've completed this course.
> This is an example. Lots of assumptions without any explanations.
The course notes are literally filled with examples and explanations. They have discussions on each homework exercise, for instance, not just the answers.
Everyone should see the notes linked to on this page: https://www.cip.ifi.lmu.de/~grinberg/t/20f/mps.pdf
They seem delightful
> 1.1. Homework set #0: Diagnostic > This is a special problem set: Its main purpose is to give you an idea of what is to come in this course, and to give me an idea of your level of familiarity with certain things (including proof writing). Do not expect to solve all these problems
I love this, and I wish I had seen more regular calibration-type assessments in my own education.
> 1.2. Homework set #0B: Additional problems > The following problems are not solved in these notes; they shall be used for future homework sets.
Here's a set of problems that are representative of the prerequisite material, to give us both a sense of how well your foundations match what I'm assuming at the start of the course. And here's a second set of problems that represent the sort of things you can expect to be able to solve once you've completed this course.
What a beautiful way to start.
Nice.
People should also checkout Mathematical Tools for Real-World Applications: A Gentle Introduction for Students and Practitioners by Alexandr Draganov.
Looks like a fun course -- that could suck up LOTS of time if you let it.
this is putnam/IMO preparation
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> This is an example. Lots of assumptions without any explanations.
The course notes are literally filled with examples and explanations. They have discussions on each homework exercise, for instance, not just the answers.
Well, these are not the hardcore math, they are just puzzles and games.
What is an example? This is a course page. Do you have a specific complaint?