I didn’t reach my goal this week of getting through the section Divergence but did have a very productive week, nonetheless. It was disappointing that it took me until Friday to get through the four articles from the section Differentiating Vector-Valued Functions (Articles), but they gave me a much better intuitive understanding of vectors, their derivatives and curvature,… Read More Week 202 – Vectors, Curvature, and the Road to Divergence

For the first time in a while, I actually achieved the goal I set for myself this week! 🥳 I rewatched and worked through the questions in the final three videos from Curvature and then made it through all the videos and exercises in the following section, Partial Derivatives of Vector-Valued Functions. The latter section was pretty straightforward for most… Read More Week 201 – Curvature Finally Clicks—and a Week of Real Progress

I spent this entire week trying to understand curvature but haven’t really figured it out. I think I understand what it is (a measurement for how much a function curves – no surprise there given the name), but I don’t fully understand how to calculate it or why the formula works the way it does. There were nine videos in… Read More Week 200 – Week 200: Nine Videos on Curvature, but Still Looking for Intuition

This was one of those weeks where I felt like I was quite productive and am happy with the effort I put in but didn’t make very much progress in terms of the number videos and exercises I got through in KA. The majority of my week was spent working on an exercise titled Multivariable Chain… Read More Week 199 – The Multivariable Chain Rule: Solving the Puzzles, but Still Asking Why

I didn’t get as far this week as I hoped I would but still had a fairly productive week, nonetheless. I made it through six videos and two exercises which covered two topics. The first was vector valued functions which represented speed/position and finding the derivative of those functions which represented their velocity (I still… Read More Week 198 – Vector-Valued Functions: Connecting Position, Velocity, and Derivatives

Last week I spent a few days trying to get through the final exercise in the section Gradient and Directional Derivatives, so I was happy when I got through it on my first attempt this past Tuesday. I’m glad that I now have a decent understanding of HOW to solve the directional derivative but am still pretty lost on WHY it… Read More Week 197 – Directional Derivatives: Making Progress, Even Without Understanding Why

I spent this entire week working through the single section Gradient and Directional Derivatives but still don’t really know what’s going on. 😒 I ended up watching all seven videos in the section and made it through two of three exercises, but struggled with and didn’t make it through the third exercise. I got a fairly decent… Read More Week 196 – Gradients and Directional Derivatives: Learning the How Before the Why

I got less work done this week than I have in a long time on KA, but I’m still happy-ish with how the week went, overall. I only made it through four videos and a single exercise which feels quite disappointing, BUT, as you’ll see below, most of my week was spent working on what’s… Read More Week 195 – A Busy Week, Four Videos, and Some Surprisingly Good Calculus Practice

I first started Multivariable Calculus in Week 185 and made it through 2% of the course by the end of that week. Until this week, in terms of achieving Mastery Points and bumping up that 2%, I hadn’t made any more “progress” until this week. I am now officially 5% of the way through the course! 😤 I finished… Read More Week 194 – Finally Past 2%: Multivariable Calculus Starts to Click

I only made it through four of six articles this week so I still didn’t make it through the first unit in MC. I only wrote out 12 pages of notes this week which seems pretty pitiful, and yet I also feel like I learned/worked through a TON of stuff. I probably could have spent… Read More Week 193 – Four Articles, Twelve Pages of Notes, and a Brain Full of New Ideas