Just want to say that I'm very grateful to you for making these videos! They make it super clear as to what's happening when working with equations of 3D curves! I'm currently learning Calc 3 on my own :)
Thank you for your many helpful videos. Are there any references with more examples? I am stumped on how to eliminate the parameters in this video of yours in a way which allows me to identify the surface.:Find Surface Area for Parametric Surface - Example
I can see you're putting a lot of effort into building your RU-vid channel and posting high-quality videos. I hope you succeed; I love your content. I know how frustrating it can be at the beginning, but don't give up. Keep it up!
Awesome! I'm glad it's working for you. Oh - and I'm a real human 🙂. I've been teaching math for almost 30 years and am passionate about getting some graphs out into the world.
@@mathsimplified1235 You never know! Going through some of these problems in Calc 4 right now and to see your recently uploaded videos is certainly timely. Thank you again!
I wanna be able to understand this one day😭, I’m chasing my mech/aero engineering degree, so typically***** what year of college do most students learn this topic
Students typically study Calculus 3 in their 2nd year of college, assuming they were Calc 1 ready as a freshman. For the engineering students who start in Pre-Calc, they usually take a math every semester (including summers) to get the pre-requisites needed to begin their physics and engineering courses.
The trace curve in the yz-plane (x = 0 plane) is a hyperbola opening in the direction of y with vertices at the (y, z) points (2,0) and (-2,0). This is because the value under the y^2 term in the general form of the hyperboloid of one sheet is 4, and the square root of 4 is 2. This section starts at around 5:13 in the video. I hope that helps.
You have the most amazing pleasant voice with crystal clear dictions. Joy to my ear. Makes Calculus painless and unbelievably digestible with ease. Thank you. Please upload more 🙏