Category Archives: calculus

Calculus! #65: Early Transcendentals 5.2

Tweet5.2: The Definite Integral Remember last time when we talked about a special kind of limit? The limit of a sum of rectangles where you get the area under a curve by using smaller and smaller rectangles? That special limit … Continue reading

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Calculus! #64: Interesting Problems in 5.1

TweetInteresting Problems in 5.1 A lot of these were a bit easy, but were designed to give you intuition. So, best to go through some of these on your own, if you found the limit-of-a-summation thing confusing. That said, much … Continue reading

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Calculus! #63: Early Transcendentals 5.1

Tweet5.1: Areas and Distances HOO BOY we’re getting to some more fun stuff. Now then, let’s talk about area. Area is a function of length times width. Usually, we think of this as a rectangle. There’s a reason that, when … Continue reading

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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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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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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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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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Calculus! #58: Interesting Problems in 4.7

TweetInteresting Problems in 4.7 WOOF, these problems took a while. I ended up working through about 20, and I’ll present you the idea behind 5. However, the important general lesson for these simple optimization problems is this: basically what you’re … Continue reading

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Calculus! #57: Early Transcendentals 4.7

Tweet4.7: Optimization Problems Optimization problems are basically any math problems whose last sentence contains a superlative. “What is the smallest…” “what is the closest…” “what is the longest…” They’re optimization problems in that you’re finding values of a function that … Continue reading

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Calculus! #56: Early Transcendentals 4.6

Tweet4.6: Graphing with Calculus and Calculations Honestly, I think sections like this are rarely useful. Or, more to the point, you’re probably better off playing around in Wolfram Alpha for a few hours than doing this section. Anyone who’s even … Continue reading

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