Shadowfax Cluster Rant 2009-2024 Release 36.03: MAT225 - Multivariable Calculus: Partial Derivatives! (SSII 2020

Thursday, July 9, 2020

MAT225 - Multivariable Calculus: Partial Derivatives! (SSII 2020 - WEEK02)

MAT225 - Multivariable Calculus:

Partial Derivatives!

(SSII 2020 - WEEK02)

Week02 was all about Partial Derivatives and Applications of Partial Derivatives. We practiced finding first and second partials including mixed partials. Then we used the 2nd Partials Test for Optimization and LaGrange Multipliers for Constrained Optimization to optimize functions of the form z=f(x,y) and w=f(x,y,z). We also revisited Lines, Planes and Quadric Surfaces using Traces and Contour Plots! We even derived Linear Regression rules and Snell's Law!

(More videos at http://www.patreon.com/calcpage2020)

When you watch our screencasts for this week you may notice that the first 2 are done in a similar style as those from Week01 and our 3rd recording for this week was a bit different. The reason for this is that my Samsung Galaxy NotePro 12.2 fried it's BlueTooth chip right before our first class. So, I ordered a Samsung Chromebook Plus to replace it. I should have had my new device before the first class of Week01 but my Amazon shipment was stolen at the Post Office and had to be reordered a week later??? (EDIT: This happened 2018 when I recorded these screencasts.)

Anyway, my first 5 recordings this summer were based on my broken tablet without it's Bluetooth Keyboard. That meant that I had to mirror the PC Desktop to my tablet so I could write notes by hand on the tablet as needed but I could also use the PC Keyboard to type code such that my students could see me doing both in the screencast and on the PC Projector and HDTVs all over the lecture hall. To accomplish this I ran TeamViewer, Xournal and SageCell on Chrome from the PC.

Now everything is back to normal as the Chromebook has a very similar look and feel to my tablet but it also has a flip away (ala Lenovo Yoga) keyboard and trackpad attached! All I have to do is mirror my Chromebook to the PC Podium. I'm using Teamviewer, Squid and SageCall on Chrome from the Chromebook. Teamviewer is a little laggy, I may try SplashTop Personal next week. Teamviewer and SplashTop are free to use if both devices are on the same WiFi network. (EDIT: This all happened 2018 when I recorded these screencasts live.)

Review Sheet - preTEST2A

2020 preTEST2A from A Jorge Garcia

Next week is all about Iterated Integrals, Area, Volume, Mass, Center Of Mass (optional) and calculating Work done by a Force Field in the plane! Think of Double Integrals as Partial Derivatives in reverse?