Sunday, May 03, 2020

Math 402 (spring 2020): Surface Integrals



Here are parameterizations of the cone written out in detail. (The double-bar for vector magnitude was the notation we were using when I first wrote this up. Stewart uses single-bar notation, like absolute value bars.) As you can see, the video illustrates the second approach.




Saturday, May 02, 2020

Math 100 (spring 2020): Applications of the Quadratic Formula

State 300 (spring 2020): Hypothesis testing of differences between proportions

Math 402 (spring 2020): Green's Theorem


The solutions below demonstrate different solutions to the problem solved in the video. Note that Green's Theorem can be used only when the field F is planar and the path C is closed. As you can see, different solutions may work just fine, but this is an example where simply doing the line integral (and skipping Green's Theorem) is not recommended.