Category Archives: Discrete Math

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

Posted in Autodidaction, Discrete Math | 1 Comment

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

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

Posted in Autodidaction, Discrete Math | 2 Comments

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

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

Posted in Autodidaction, Discrete Math | 2 Comments

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

Posted in Autodidaction, Discrete Math | 4 Comments

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

Posted in Autodidaction, Discrete Math | 2 Comments

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

TweetInteresting Problems in 2.2, Problems 1-43 Whoo! After a month of much traveling, I am back. Let’s get to it. This section tried very hard to kill me, and I’m going to split it in 2 so I don’t spend … Continue reading

Posted in Autodidaction, Discrete Math | 7 Comments

Discrete! #27: Discrete Mathematics and Its Applications 2.2

Tweet2.2: Set Operations Things are getting more interesting! Now we introduce some operations called union and intersection, denoted as ∪ and ∩ respectively. These are very clever symbols, since they look a lot like our OR and AND symbols, ∨ … Continue reading

Posted in Autodidaction, Discrete Math | 3 Comments

Discrete! #26: Interesting Problems in 2.1

TweetInteresting Problems in 2.1 These can be a little tough on the brain, and a few of them took me a while to get. Hopefully I can provide some clarity. 5 “For each of the following sets, determine whether 2 … Continue reading

Posted in Autodidaction, Discrete Math | 3 Comments