Category Archives: Autodidaction

Calculus! #62: End of Calc 1 Wrap-Up

TweetChapter 4 Review and Calc 1 Wrap-up After giving it a bit of thought, I’ve decided to not personally work the problems in this section. That you can do on your own, but if you’ve followed along so far, it … Continue reading

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Physics! #45: Force and Potential Energy

Tweet7.4: Force and Potential Energy If you’ve been following along with calc, this should be relatively easy. Here’s the idea: Force is the derivative of potential energy, with respect to position. Mathematically, that’s: F(x) = dU/dx. This makes sense, since … Continue reading

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Discrete! #30: Discrete Mathematics and Its Applications: 2.3B

Tweet2.3: Functions Part B (Starts with One-to-One and Onto functions) One-to-One and Onto Functions BOOK DEFINITION: “A function f is said to be one-to-one, or injective, if and only if f(a) = f(b) implies that a=b for all a and … Continue reading

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Calculus! #61: Early Transcendentals 4.9

Tweet4.9: Antiderivatives Wow! Well, we’re on the final chapter of Calc 1. Awesome! It’s been a fun ride going back through this and strengthening my understanding. For those of you following along, I hope it’s been entertaining. Antiderivatives are really … Continue reading

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Physics! #44: Conservative and Nonconservative Forces

Tweet7.3: Conservative and Nonconservative Forces All “real” forces are conservative. That is, for the purposes of this text, if we’re talking about abstract systems containing only (a) GRAVITY or (b) ELECTROMAGNETISM or © BOTH, shit is simple. However, when we … Continue reading

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Discrete! #29: Discrete Mathematics and Its Applications 2.3, Part A

Tweet2.3: Functions I’ve got good news and bad news. The good news is that you’re finally going to have a rigorous sense of functions. In calculus you sort of insist that you know what they are, but you really only … Continue reading

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Calculus! #60: Interesting Problems in 4.8

TweetInteresting Problems in 4.8 Welllll, I’m back. Sorry for the long delay, but I’ve been all over the damn country in the last month or so, for a bunch of events. I’m finally back home and settled in enough to … Continue reading

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Physics! #43: University Physics 7.2: Elastic Potential Energy

Tweet7.2: Elastic Potential Energy Out of habit, I’m going to refer to this idea as “spring energy.” This is one of those really cool sections where, in a couple pages, you get a concept that changes the whole way you … Continue reading

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Discrete! #28: Interesting Problems in 2.2, Part B

TweetInteresting Problems in 2.2, Part B (beginning with 45) These were a lot of fun. Because it’s a half section, and because a lot of definitions were introduced, I’m going to go over a higher than typical percentage of the … Continue reading

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Calculus! #59: Early Transcendentals 4.8: Newton’s Method

Tweet4.8: Newton’s Method Suppose you need to figure out the root(s) of an equation, but you know it’s going to be a real bitch to solve. Like, the example in the book is Shitballs. There’s no way you’re intuiting that … Continue reading

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