Today's soundtrack is Xzibit: Restless, bringing some West Coast rap to your ear holes. This is it. The final lesson of the final unit of the final module of the final high school level math course. In it, I'll be learning about composite functions. Composite functions exist when one function is inside of another function. … Continue reading 05.12.2019: One Lesson of Math – Function Notation and Operations, 4/4: Compositions of Functions
Category: Math
05.11.2019: Function Notation and Operations, 3/4: Products and Quotients of Functions
Today's soundtrack is Six Feet Under: Death Rituals, a plodding death metal album featuring Chris Barnes on vocals. He was a founding member of Cannibal Corpse, and thus a huge influence on modern death metal. I bought this album because the album that got me into death metal was Cannibal Corpse's "The Bleeding," and I … Continue reading 05.11.2019: Function Notation and Operations, 3/4: Products and Quotients of Functions
05.10.2019: Function Notation and Operations, 2/4: Sum and Difference of Functions
Today's soundtrack is Lacuna Coil: Karmacode, a metal album featuring Cristina Scabbia's gorgeous singing. I still remember discovering this band and thinking, "THIS is what Evanescence was going for, but couldn't quite reach!" When we combine two or more functions, we get a new function! Let's say we want to add f(x) =3x-1 to g(x)=x+2. … Continue reading 05.10.2019: Function Notation and Operations, 2/4: Sum and Difference of Functions
05.09.2019: Function Notation and Operations, 1/4: Function Notation
Today's soundtrack is Insomnium: Above the Weeping World, a melodic death metal album. Today, I'm staring the final unit of the final module of this course. Hooray, hooray! This lesson is about function notation (not to be confused with factorial notation). We begin by reviewing relations and functions. Relations are sets of numbers that go … Continue reading 05.09.2019: Function Notation and Operations, 1/4: Function Notation
05.08.2019: Permutations and Combinations, 5/5: Pascal's Triangle and the Binomial Theorem (2/2)
Today's soundtrack is Deep Purple: Machine Head, an album that I bought because I loved playing "Highway Star" on Rock Band. This morning, I'm continuing where I left off yesterday in learning about the binomial powers. Now that we know how to expand a binomial power quickly using the concepts found in nCr, we can … Continue reading 05.08.2019: Permutations and Combinations, 5/5: Pascal's Triangle and the Binomial Theorem (2/2)
05.07.2019: Permutations and Combinations, 5/5: Pascal's Triangle and the Binomial Theorem (1/2)
Today's soundtrack is Figure Four: No Weapon Formed Against Us, a groovy hardcore album that was released in 1999. I'm still trying to wrap my head around the fact that 1999 was 20 years ago! This afternoon, I'm going to be learning about Pascal's Triangle and the Binomial Theorem. Pascal's Triangle is an interesting series … Continue reading 05.07.2019: Permutations and Combinations, 5/5: Pascal's Triangle and the Binomial Theorem (1/2)
05.06.2019: Permutations and Combinations, 4/5: Combinations
Today's soundtrack is Strauss: Masters of Classical Music, Vol. 4. This afternoon, I'm learning about combinations. Combinations are like permutations, except in a combination, you're looking for a group of things, and their order does not matter. If I am making a pizza, and I have five toppings to choose from, but I want to … Continue reading 05.06.2019: Permutations and Combinations, 4/5: Combinations
05.05.2019: Permutations and Combinations, 3/5: Permutations Involving Identical Objects
Today's soundtrack is Hellyeah: Band of Brothers, an awesome southern groove metal album from the American supergroup that features the legendary Vinnie Paul on drums. Today, I'm learning how to calculate the permutations of a series that includes identical objects. If I have five Smarties and I want to see how many ways I can … Continue reading 05.05.2019: Permutations and Combinations, 3/5: Permutations Involving Identical Objects
05.04.2019: One Lesson of Math – Permutations and Combinations, 2/5: Permutations Involving Different Objects
Today's soundtrack is The Red Chord: Clients, a technical metalcore album. May the Fourth be with you, and also with you. This morning, I'm learning about permutations, which are ways that we can rearrange the items in a series. This concept was touched on in yesterday's sandwich example. The series B E D has the … Continue reading 05.04.2019: One Lesson of Math – Permutations and Combinations, 2/5: Permutations Involving Different Objects
05.03.2019: One Lesson of Math – Permutations and Combinations, 1/5: The Fundamental Counting Principle
Today's soundtrack is Petra: Unseen Power. I'm on to the first of two units in the final module of this math course. Today, I'm learning about the fundamental counting principle. It sounds pretty basic; I know how to count. How hard could this be? The Fundamental Counting Principle lets us determine how many possible combinations … Continue reading 05.03.2019: One Lesson of Math – Permutations and Combinations, 1/5: The Fundamental Counting Principle
05.02.2019: One Lesson of Math – Test Day
Today's soundtrack is POD: Payable on Death, probably my favourite album of theirs. It features Living Sacrifice's Jason Truby on guitar, and the album is heavier than most of their other work. I spent the morning reviewing, then went in to write my Module 3 exam. I think it went well! Tomorrow, I'll start on … Continue reading 05.02.2019: One Lesson of Math – Test Day
05.01.2019: One Lesson of Math – Studying, Part 3
Today's soundtrack is Ozzy Osbourne: Ozzmosis. The first track, "Perry Mason," is an absolute banger. Today's study session consists of reviewing the quizzes from both units in this module, then drawing the unit circle and special triangles.
Steven Mills 