A great video on introduction to optimization, I can understand it clearly. Thanks, Professor.

AE501 - This really helped with the HW!

AE501: This is super helpful. I didn't learn the Taylor series theory well in undergrad so much needed refresher

AE501 - This was a great walk through on how to solve a 1D heat equation. The visuals were very helpful!

AE501: Always good to have a practical demonstration mixed in to bring things together

AE501: By far the best video of the quarter, loved the humor and the Gus cameo! My family is from Bainbriedge too so I understand the commute challenge. Great information on how to more specifically think of optomization

Thank you! This definitely worked for me. I appreciate your help.

AE501: That Matlab script wil be nice to play with, helpful review!

AE501: Useful reminders. A lot of this came back to me from undergrad after watching

AE501 - Hey professor, I was following along with the lecture notes provided and noticed that in the pdf, v=-K grad u is labeled as Eq. 1, while the heat equation is labeled as Eq. 3. I couldn't find an Eq. 2 in the notes. Is Eq. 3 meant to be labeled as Eq. 2? Just want to make sure I keep track of the important equations. Also, I appreciate the Nintendo references in your videos. I'll now always remember the 1D heat equation as the 'Luigi of PDEs'.

Thanks bro it worked 🎉

AE501: I haven't done proablity in years. This brought back a lot of overlooked basics

AE501: It was very helpful to see and understand what is happening with the physical towel example.

AE501: Great helpful video! This was super helpful for the homework and was easy to digest as all your other videos! I like how you show the verification of each step in mathematica as well.

AE501: Initially I thought this would be limited to 'drawnow'.'

AE501: Thought a revisit to sign in was warranted.

AE501: Really wish we could have used this for the hwrk7

AE501: So doable but still looking forward to the numerical approach.

AE501: Hope to be applying this one at work. A review is always a good thing

AE501: Nice Demo... Thanks Professor Lum. Your numerical solutions to PDE's saved me a few years ago

AE501 - Malachi Morris

AE501 - Malachi Morris

AE501- Malachi Morris

AE501- Malachi Morris

AE501: Really cool demonstration, I love it when we can relate to real life scenarios. Farouk Nejah

AE501 -Malachi Morris

AE501: Thank you for simplifying the 1D wave equation. I learned this in the context of "particle in a box" which always confused me.

AE501: Great video that brings it all together

AE501: Another great video on derivations of a PDE. I normally have a hard time understanding derivations but you do a great job of breaking it down in an easy to digest way.

AE501: Thank you for the thorough demos. They really help me understand the material.

Not even a minute and he makes it look too easy

AE501: Very helpful information, thank you!

AE501 - Malachi Morris

Finally someone who speaks ENGLISH

AE501-Malachi Morris

AE501: This video was great lecture! I remember the 1d heat equation from last years heat transfer class!

AE501: Thank you for the lecture, it really helped me understand this weeks topic.

AE501: Thank you for taking the time on the demos. The lectures and derivations are great, but my favorite videos are the visuals and demos. It gives physical meaning behind the lectures.

AE501: This video in particular was the most helpful for the homework. I added a lot of pictures from the lecture to my homework for future reminders.

AE501: I enjoyed this video and it really helped with understanding the 1d wave equation.

AE501: As always I appreciate the visuals. It really helps to understand the material.

AE 501: I appreciated the examples in this video. The theory and derivation has never been a great way for me personally to wrap my head around things. But the examples were clear and understandable after some review.

AE501: Great video, it offers a concise and insightful breakdown of the mathematical steps, making the derivation of the 1D wave equation.

AE501 - Malachi Morris --- the third node made me laugh, cool demo

AE501: Good demonstration of the standing wave mode.

AE501- Malachi Morris

AE501: Introduction to PDE provides a clear and approachable explanation of complex mathematical concepts, thank you.

AE501: I had never seen the derivation of the 1D wave equation. This explanation makes me appreciate the work and theory that goes into derivations. Thanks!

AE501: This demonstration helped me better understand standing waves and the use for pde's.

AE501: PDE's are easier to understand after the material that lead up to this lecture. Thanks!