Line Integrals

Рет қаралды 1,319

Күн бұрын

Пікірлер: 38

@ChristopherLum 3 ай бұрын

In case it is helpful, here are all my calculus videos in a single playlist kzbin.info/aero/PLxdnSsBqCrrGHwNWnP5XVhytcGL9ExuPE. You can support this channel via Patreon at www.patreon.com/christopherwlum or by clicking on the 'Thanks' button underneath the video. Please let me know what you think in the comments. Thanks for watching!

@ahmedashmaig 2 ай бұрын

AE 501: Thanks for showing the curve @4:26, it really helps to visualize these concepts!

@guillermoroque3408 2 ай бұрын

AE 501: Thank you for utilizing visuals such as the paper and the 3D graph as well. This definitely helps visualize what we are trying to accomplish.

@ChristopherLum 2 ай бұрын

Glad the visualizations helped!

@KarlaPkva 2 ай бұрын

AE501: I appreciate the visualizations of what line integrals are trying to achieve. It made learning the concept and understanding the examples much easier!

@ChristopherLum 2 ай бұрын

Glad you found the visualizations helpful!

@keyshawnb4845 2 ай бұрын

AE 501: This was a great video and it really taught me a lot about the line integrals and the different calculations for work that can be solved using the integral.

@ChristopherLum 2 ай бұрын

Glad to hear that the concept of line integrals and work clicked for you!

@DavidSt.Arnauld 2 ай бұрын

AE501: Great video on line integrals; I love the visualizations to see what the functions are actually doing.

@ChristopherLum 2 ай бұрын

Glad the visualizations helped!

@Julia_Westfall 2 ай бұрын

AE501: It took me a second but I think I understand this now. I got hung up on the parameterization part so I revisited that video along with re-watched parts of this one. It was very helpful for the homework. Thank you! I am looking forward to watching the next one.

@ethanngo3203 2 ай бұрын

AE501: Appreciate the vector field and work done along the curve illustration, it helps a lot!

@Evan.M.Phillips 2 ай бұрын

AE501: Thank you for walking through the examples, they were very helpful!

@KarolOrtizSolar 2 ай бұрын

AE501: Great video! The neat setup of equations really help to follow along.

@ChristopherLum 2 ай бұрын

Glad to hear the setup of the equations helped you follow along!

@KennethWright-k2h 2 ай бұрын

AE501: Thank you for explaining the physical significance of the line integrals. It helped me grasp the use and importance of the subject.

@MatthewSWilson-UW 2 ай бұрын

AE501: Awesome overview of line integrals. The computer generated plots are super helpful for visualizing.

@maggiesplantgirl 2 ай бұрын

AE501- the paper held up to the board showing a line integral visualization actually really helped!! -Maggie Shelton

@nicholasdublinski1976 2 ай бұрын

AE501: This video was a lot of help to visualize what a line integral is actually calculating. Nicholas Dublinski

@ddhakhwa 2 ай бұрын

AE501: Really good video, helps with better understanding what exactly a line integral is

@DominicChongShengLim 2 ай бұрын

AE501: Great video with working visualization for better understanding!

@ardacetken9090 2 ай бұрын

AE501: Arda Cetken - Dr. Lum said during lecture that this video would help with the first few problems on the homework... He didn't lie! Great examples as always.

@LilanieAlfredaAbdur-Rahman 2 ай бұрын

Ae501: Awesome review. Can't wait to see how this is applied in future AE courses

@jacobgivens2000 2 ай бұрын

AE501: Thank you for the clear lecture!

@carlydunford2546 2 ай бұрын

AE501: Great review of line integrals, I really like the mathematica graph visualizations

@Tamanaaaa1 2 ай бұрын

AE 501: Great explanation thank you!

@AurashFilsoof 2 ай бұрын

AE 501: Thank you for the helpful video professor

@paxtonschipper1926 2 ай бұрын

AE501: This video really helped me visualize the concepts.

@Chuan-YuTsai 2 ай бұрын

AE501: The information for line integral is easy to understand, thank you. I can use the line integral of vector function to get the work done on the particle.

@ChristopherLum 2 ай бұрын

I'm glad the connection to work was clear!

@EfremNickel 2 ай бұрын

AE501: thank you for showing what line integrals represent and several examples for 2D and 3D applications.

@Marryatau 3 ай бұрын

An integral is not simply “the area under a curve” but rather a continuous, finite or infinite, Sum. The definitive formulation of an integral comes from Riemann Sums which are sums written with Sigma notation.