04.24.2019: One Lesson of Math – Trigonometric Equations and Identities, 3/6: Trigonometric Identities, Part 1

Today's soundtrack is Dream Theater: Falling Into Infinity, probably their most radio-friendly album. You may have noticed that this series is titled "Trigonometric Equations and Identities." So far, we've been working with equations; today, we'll be learning about trigonometric identities. Let's start by differentiating the two. An equation is only true for certain values of … Continue reading 04.24.2019: One Lesson of Math – Trigonometric Equations and Identities, 3/6: Trigonometric Identities, Part 1

04.19.2019: One Lesson of Math – Circular Functions, 8/10: Modelling Real Situations Using Sinusoidal Functions

Today's soundtrack is Dream Theater: Dream Theater, their self-titled album that was the first to feature Mike Mangini writing the drum parts. It's a great album; though it is a progressive metal album, it isn't very experimental; in my opinion, that fit the needs of the album well, and it is a very solid effort. … Continue reading 04.19.2019: One Lesson of Math – Circular Functions, 8/10: Modelling Real Situations Using Sinusoidal Functions

03.27.2019: One Lesson of Math – Logarithms and Exponents, 1/10: Review the Exponent Laws

Today's soundtrack is Dream Theater: Distance Over Time, a progressive metal album that I'm more excited about than I have been about anything in a long time. The album's production is on point, the best it's been since Mangini joined the crew. Myung's bass sounds clear and beefy, and Mike's snare sounds like a proper … Continue reading 03.27.2019: One Lesson of Math – Logarithms and Exponents, 1/10: Review the Exponent Laws

03.05.2019: One Lesson of Math – Transformations, 5/5: Combining Transformations of Functions

Today's soundtrack is Dream Theater: Octavarium, an epic prog-metal masterpiece. The title track is of particular note, clocking in at nearly 25 minutes and featuring an incredible performance by the band. I've spent the past few days learning how to modify a function's equation to reflect it, translate it, and expand or compress it. Today, … Continue reading 03.05.2019: One Lesson of Math – Transformations, 5/5: Combining Transformations of Functions

02.13.2019: One Lesson of Math – Adding and Subtracting Rational Expressions With Monomial Denominators, Part 3

Today's soundtrack is Dream Theater: Dark Side of the Moon, part of their "Official Bootleg" collection. Being a fan of both prog rock and metal, I picked this CD up at their concert when they came to Vancouver in 2006. I'm finally back on my feet this afternoon after being pretty sick for the past … Continue reading 02.13.2019: One Lesson of Math – Adding and Subtracting Rational Expressions With Monomial Denominators, Part 3

11.29.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 4

Today's soundtrack is Liquid Tension Experiment: Liquid Tension Experiment, an experimental progressive instrumental rock album by some of the members of Dream Theater (and friends). This afternoon, I'm working on [what I hope will be] the last part of this lesson about the vertex form of the quadratic formula. Links to previous sessions: part 1, … Continue reading 11.29.2018: One Lesson of Math – Quadratic Function in Vertex Form, Part 4

11.11.2018: One Lesson of Math – Solving Quadratic Equations by Factoring, Part 3

Today's soundtrack is Dream Theater: Awake, still my favourite of their albums after all these years. It holds a special place in my heart; it was the first album of theirs I bought, and the first I listened to. The odds of the Randomizer picking a Dream Theater album two days in a row is … Continue reading 11.11.2018: One Lesson of Math – Solving Quadratic Equations by Factoring, Part 3