If you are like me, you did not particularly enjoy math in high school, so the idea of learning an entirely new type of math in university might be terrifying to you. I know this can be scary and overwhelming (it was for me!), so here are some things I learned when taking my first proof-based mathematics course. Hopefully you find this helpful.

One of the things I’ve been thinking a lot about lately is the fact that there are two main types of textbooks. There are reference textbooks, which are for people who are already versed in the subject area, typically academic researchers, professors, and the like. They tend to be large, contain massive amounts of information, and be unintelligible to everyone but their target audience. Then, there are expository textbooks, which are for people who actually want to learn things (aka me, a confused undergraduate student).

I was chatting with one of my friends yesterday, just to check in, when our conversation moved from small talk to the topic of being artists on Instagram. We’re both pretty unknown on Instagram, and I suspect she’s just as unsure as I am about how much of an audience she actually wants for her work, but the discussion was still mostly about how “well” we were doing. And as of right now, she’s doing much, much better than I am, despite the fact that I have had my account for about two and a half years longer than she has. To be fair, she is a much better artist than I am, which totally accounts for some of her success. However, not all of it can be attributed to that. At all.