Scalar Functions, Vector Functions, and Vector Derivatives

In this video we discuss scalar functions (a single output) and vector functions (multiple outputs). After laying the framework for these functions, we look at their derivatives w.r.t. one or more independent variables.

Topics and timestamps:
0:00 – Scalar Functions
7:01 – Vector Functions
12:05 – Vector Derivatives

#Calculus

[KarlaPkva]

AE501: This was a great refresher on vector functions. I appreciate how you link mathematical concepts to how they can be used in real life! It helps me learn when the material is attached to something tangible/familiar.

[JuliaWestfall-ln]

AE501: This has been a nice recap on vector functions. I extremely appreciate all the visuals you use to describe the content. That "layered" plot in 3d was very interesting to see too. Thanks!

[brianas]

AE501: that is some really cool 3D vector function visualization. Love matlab and never used the quiver function before. Definitely a good function to know! Great explanation as always.

[keyshawnb]

AE 501: It feels as though I was learning this for the first time, but it was explained so clearly.

[alviehaider]

AE 501 Brings me back to my days in High School. Till this date, I found the concepts quite difficult to absorb but this video has helped me tremendously.

[carlydunford]

AE501: Great review of vector functions. The 3D graphs were very helpful for visualization!

[Evan.M.Phillips]

AE501: Thank you for the vector function recap! It's been a while since I've had to tackle this subject.

[JustinYoung-jf]

AE501 thank you for this great breakdown of Scalars, Vectors, and Vector Derivatives!

[solomondawit]

AE501: A great video to understand higher dimensional scalar function. And it is something fun. Thank you Professor!

[fn]

AE 501: This was a great lecture, Farouk Nejah

[AlejandroMartinez-nvri]

AE501: the visualization of the plots was very helpful. straightforward video and easy to understand. Thank you

[tonykuenzli]

AE501 - Good review of scalar functions, vector functions, and vector derivatives. I liked the examples of how these can be visualized using functions in Matlab and Mathematica

[ToanLuu]

AE501 Thank you for the content professor Lum! the 3D graph using in these complex function look very cool.

[supmyhomi]

AE 501: Great lecture, I was able to use the examples in the video to help me solve my homework problems. - Minja Anthony Nozinovic

[hshams]

AE501: Great refresher material and examples that are clear and to the point!

[ThienNguyen-vxtd]

AE501: straightforward video and easy to understand. Thank you

[ethanngo]

AE501: Using Mathematica for these problems is really informative!

[tranpham]

AE501: Great video. I appreciate for your video.

[Chuan-YuTsai]

AE 501: It is a great video. In 17:27, there is an error in the coefficient of the second vector in the matrix in the second equation on the right. It should be b*cos(t1). Am I right?

[paxtonschipper]

AE501: I'm having challenges relearning this material again. Is there a specific difference between inner product and dot product? It seemed in the video that they were just set equal to each other.