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somefellasomewhere

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**TL;DR Summary:**I will be reviewing/filling in gaps in my precalc knowledge over the course of 6 months and I think I'll have time to go off the beaten path a bit with the material I cover. What topics could supplement this that maybe I would not be able to learn in a typical precalculus course/book?

New user so apologies if I posted this in the wrong section. I'll start by a long winded and mostly irrelevant explanation of how I got here... So I went to a pretty bad high school at a town that has just barely broken out of its 3 digit population status, and as such I didn't have much opportunities to thrive academically (nor did I want to for the first three years, so this is mostly my fault).

I kinda shuffled my feet through my math classes up until my senior year, where I took my high school's precalculus class and college algebra/trig. While this might be enough preparation for calculus in college, I want to be extra thorough since my hs precal class has been not great (teacher is wonderful, she's the first teacher who hasn't shown complete disinterest in the subject and our education, however she's had to spend so much time teaching stuff we should have already known that it has slowed the class down significantly) and I can already feel my college algebra knowledge fading.

So I've bought a cheap precalculus book off of ebay (the axler book), and I've decided I'll work through the non-trig sections of the book since I feel I have a firm grasp on trig and my main goal is to fill in the gaps in my algebra knowledge. I have about six months to do this, and since a lot of this will be review (and I will have a lot of time over the summer) I think I will have time to supplement this with some additional topics that maybe I would not be able to cover in a typical precalc book/course.

An example of the type of thing I'm thinking of is parametric curves, which has an appendix in the back of my book, and flipping through the pages it seems really interesting but a somewhat obscure topic. Maybe I'm wrong about that though, from what I've gathered it becomes relevant in calc 2. But are there any other topics like this that aren't typically taught in high school but are graspable to high school level students? I thought about learning to code alongside this venture, but I have tried to self-teach myself to code before and I never really got past a very elementary understanding of programing that way.

Sorry for the excessive verbage, any suggestions yall could provide would be greatly appreciated.

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