Week 222 – No Mastery Points, but a Breakthrough with 3D Polar Coordinates

Working through KA this week was similar to the past few in that I didn’t actually make any progress earning Mastery Points but did learn quite a bit and made sense of some complicated concepts. The only thing I did this week was work through two articles from the section Polar, Spherical, and Cylindrical Coordinates, and didn’t… Read More Week 222 – No Mastery Points, but a Breakthrough with 3D Polar Coordinates

Week 221 – Completing the Square, Circle Equations, and a Few Lightbulb Moments

I feel like I’ve been saying this a lot lately, but I had a pretty weird/interesting week working through KA. It felt very slow, like I wasn’t getting anything done, except I also felt like I had some pretty solid breakthroughs. I only made it through one article, one exercise and two video which I… Read More Week 221 – Completing the Square, Circle Equations, and a Few Lightbulb Moments

Week 220 – Polar Coordinates Click, but Triple Integrals Bring a New Challenge

I put in a solid effort this week on KA and made some decent progress. In terms of achieving Mastery Points, I’m now 10% further through Integrating Multivariable Functions than I was at the start of the week. I’m pretty happy with that, but I only made it through three videos, two articles and two exercises so… Read More Week 220 – Polar Coordinates Click, but Triple Integrals Bring a New Challenge

Week 219 – Double Integrals: Good at the Math, Still Lost in the Why

I was close to reaching my goal this week of getting through the final exercise in the section Double Integrals and also of getting through the entire following section, Double Integrals (Articles). I made it through the exercise in the former section but only got through three of the four articles in the latter. Although I was… Read More Week 219 – Double Integrals: Good at the Math, Still Lost in the Why

Week 218 – Double Integrals: A Breakthrough Week and a Lot of Progress

This was one of the most satisfying and productive weeks I’ve had in a LONG time. I almost reached my goal of getting through the section Double Integrals but fell just short. I watched all six videos and getting through three of the four exercises in that section. Plus, at the start of the week I… Read More Week 218 – Double Integrals: A Breakthrough Week and a Lot of Progress

Week 217 – Conservative Vector Fields: When the Fog Finally Starts to Lift

I had a VERY productive week on KA and learned a lot but once again didn’t make much progress earning Mastery Points. Most disappointingly, I still didn’t make it through the Line Integrals in Vector Fields section. 😔 I did, however, read four of the five articles from the following section, Line Integrals in Vector Fields (Articles), which helped… Read More Week 217 – Conservative Vector Fields: When the Fog Finally Starts to Lift

Week 216 – Path Independence: Plenty of Videos, but Still Searching for Understanding

This week was a bit like the opposite of last week. I actually made it through quite a few videos and a handful of exercises but I felt like I didn’t learn very much. 😒 I was introduced to a concept known as “path independence” and spent the majority of the week trying to wrap my head… Read More Week 216 – Path Independence: Plenty of Videos, but Still Searching for Understanding

Week 215 – Line Integrals: Getting the Math Right, but Still Asking Why

In terms of getting through videos and exercises, I made very little progress this week on KA but overall, I put in a pretty solid effort and actually learned quite a bit. 😌 I made it through the final article in the section Line Integrals for Scaler Functions (Articles) which took me until the end of Wednesday to finish.… Read More Week 215 – Line Integrals: Getting the Math Right, but Still Asking Why

Week 214 – A Rough Week with Implicit Differentiation—and Progress with Arc Length

I had a pretty abysmal week. I started the week reviewing implicit differentiation and after spending ~2 days watching videos, I didn’t really get a better understanding of what, how, or why implicit differentiation works. 😒 The rest of my week was spent reading three articles, all of which had to do with using integrals to find the arc length of… Read More Week 214 – A Rough Week with Implicit Differentiation—and Progress with Arc Length

Week 213 – Applications of Multivariable Functions Complete: A New Calculus Challenge

This week was a fairly productive one for me working through KA. I FINALLY made it through the Applications of Multivariable Functions unit test which I got through on Tuesday. It turned out not to be too difficult, but I had to do two attempts at it. (I actually got a question wrong on my… Read More Week 213 – Applications of Multivariable Functions Complete: A New Calculus Challenge