@calculus students, i just need you to know that a differential in the form dy/dx or similar is absolutely a fraction and you may treat it as such.
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@calculus students, i just need you to know that a differential in the form dy/dx or similar is absolutely a fraction and you may treat it as such.
I plan to go back to school next fall, so I have a little ovet fourteen months to master all seven subjects. I won't need two full months for algebra 1; cracking open the first chapter, it's all stuff like "here's what a plus sign means" and "variables look like letters, but they really stand for numbers!"
It won't hurt to brush up on factorization, but I think I can bang this one out in a week or two. All the better, because calculus kicked my ass in high school and it's not gonna be any easier now that I'm my own teacher. I passed it once (by the skin of my teeth), but have forgotten almost everything about it in the last decade, so I'll need the extra time to really get it down pat. I have to be able to derive and integrate in my sleep if I'm to stand half a chance at earning an astrophysics major. Astronomy would be slightly easier, but not by much, so I may as well go for gusto. The very first class astrophysics requires is calc 2, so I can't enroll until I'm 100% sure I know calc 1 forwards and backwards. Physics too, but physics and calc feel like two sides of the same coin, so I'll try to work on them at the same time (again, I managed to pull it off once, I'm sure I can do it again).
Chances are these Dummies books will be insufficient for me to grok all this math in one year, so I'll end up buying more textbooks, workbooks, study guides, SAT and AP prep, etc. I had plenty of cram sessions in my first go around at college, but nothing quite like this. This will be a herculean undertaking compared to the easy-A humanities program I coasted through originally. I had no motivation back then, no drive, no goal for "the real world" upon graduating. I went to college because it was expected of me, and I was told I needed it to get a good job. What I wasn't told is that not all majors are created equal; there's not a lot you can do with an English degree besides, well, teaching English. I just hope 14 months is enough time, because I would really prefer not to take another year off; 2024 is the ten year anniversary of when I started college the first time, so it would mean so much more to me if I started again that August rather than put it off until 2025.
I guess it doesn't matter in the end. If I'm not ready, I'm not ready. I can't force myself to start an extremely advanced program before I've mastered the pre-reqs. If I need to start later, so be it. As long as I'm consistently working towards my goal, it shouldn't matter how long it takes.
Implicit Differentiation - Ex. 3
Patreon
Hey guys! Senior math major here! A few months ago I made a calc 1/calc AB study guide, but recently I decided I would just completely rewrite all my notes from the class! They're edited for content and clarity, and made legible, but for the most part it's what I studied from in Calc 1 and what got me my 5 on the AP exam and A in the class. The notes are 25 pages and the corresponding James Stewart Early Transcendentals chapter/section is noted, however that book is not needed to use or understand the notes. I just thought that might be helpful.
Anyway, good luck in calculus this semester!
https://www.etsy.com/listing/1078497049/ap-calculus-calc-ab-full-notes?ref=shop_home_active_1
Unit 5 - Part 1/3 - Applications of Differentiation
Calculus 1
Derivatives (Great Book of Derivatives)
Math Help: Calculus
For everyone struggling with online classes, I have a few old study guides that sum up formulas quite nicely. So for those in Calc I especially, here are all your basic derivative rules!
going from precal to calc 1 is a wild time bc like
precalc: Here’s a fuckton of formulas and you will have to use at least 3 multiple times to figure out this goddamn triangle. memorize the unit circle
calc 1: if you use the slope formula enough times you will eventually get the answer. when will we learn about derivatives? i used that lame rise over run trick from 3rd grade on the wrong line and somehow got the right answer