Category Archives: Autodidaction

Discrete! #33: Discrete Mathematics and Its Applications 2.4 Part A

Tweet2.4: Sequences and Summations My general sense on this sections is that the real action is in problem-solving, since summations and sequences are conceptually pretty easy. So, I’m gonna be a bit breezy here and then we can get into … Continue reading

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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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Physics! #48: University Physics Chapter 7 Exercises

TweetChapter 7 Exercises I just finished working all the odds here. That is, I did a homework assignment from hell. That said, it’s always an excellent refresher. I’m (generally) selecting one problem from each subsection that was clever or difficult. … Continue reading

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Discrete! #32: Interesting Problems in 2.3 B

Tweet2.3: Interesting Problems in 2.3 Part B Oh man, this one tried to kill me. I’m not sure if I’ve noted it explicitly, but I never actually got past chapter 3 in the book way back when I was self-teaching. … Continue reading

Posted in Autodidaction, Discrete Math | 3 Comments

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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Physics! #47: University Physics Chapter 7 Discussion Questions

TweetDiscussion Questions in Chapter 7 Q7.1 “A baseball is thrown straight up with initial speed . If air resistance cannot be ignored, when the ball returns to its initial height its speed is less than . Explain why, using energy … Continue reading

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Discrete! #32: Interesting Problems in 2.3 A

Tweet2.3: Interesting Problems in 2.3 Part A Wow, this is a long set. This is one of those homework assignments you get in college where you think “only ten problems? I could do that?” and then all the problems are … 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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Physics! #46: University Physics 7.5

Tweet7.5: Energy Diagrams Kids, graphs are magic. Graphs are magic because your fancy monkey brain is very visual. So, with a little training, a graph can tell you a lot of information about a system in high detail at a … Continue reading

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Discrete! #31: Discrete Mathematics and Its Applications 2.3, Part C

Tweet2.3: Functions Part C (Starts with Inverse Functions and Compositions of Functions) Inverse Functions and Compositions of Functions Inverse functions are pretty much what you’d guess. If you have a function that maps from A to B, inverse functions get … Continue reading

Posted in Autodidaction, Discrete Math | 5 Comments