วีดีโอ

You're welcome

In regards to comment at 11'38''. Thanks for the info

I don't provide them in YT. I was referring to the notes I normally provide to the students taking this class with me

The notes I am referring to are not available on YT. I provided them for my students who took the class with me when I recorded the lectures.

When you click and select the object there should be a menu on the right with "Color" as one of the options

Thank you

Probably, not any time soon. My goal is to eventually have here all the courses I teach so I need to prioritize those. I don't normally teach discrete or combinatorics.

I use Wacom Bamboo Slate which is a note taker that digitalizes the handwriting on regular paper using a special pen. The app that comes with it can only be used on smartphones or tablets. I use an Android tablet. The app also has a feature called "live" that displays the note taking in real time. While I run this I also run a screen capture app on the same tablet to record the screen and my voice. This is the only system I found that allows me to write on regular paper. In fairness I think just using a good webcam pointing down to the desk might be better and easier and I might do that in the future

I am not familiar with Python but my take is that you can use any system for which you can implement (or have already implemented) some basic functions such as: solving a system of equations (to find equilibria), finding the Jacobian (i.e. partial derivatives basically), and some basic matrix tools such as determinant and the trace.

Thank you!

Hello, I'm doing a research on stability analysis on HIV/aids and i need some help with my project. Please can you help me ? I need help really urgently since my presentation is tomorrow.

I did not use Maple extensively for phase plane plots but DEplot command in maple is the way to go I think. There are examples here that can be used as templates www.maplesoft.com/support/help/Maple/view.aspx?path=DEtools/DEplot

it's a separate app. Available here www.cs.unm.edu/~joel/dfield/

@@Daniel_Maxin thank you for the reply. I will trying downloading it from the Link.

@@Daniel_Maxin thank you for feedback. i know if it will be possible to prepare a video on how to use it and the installation on the system. i tried downlaoding ,the response i got was 'the request URL was not found on the server. thank you

@@umarbashir7196 I'll think about making a video in the future but there is nothing really to install. These are stand alone executable files. you can also google "dfield" or "pplane" and you will arrive to the same page. Just right click and choose "save link as" over either pplane.jar or dfield.jar. These are java programs. so you need an updated working java version installed in the computer. When your java version works properly, the files dfield and pplane will have the "coffee pot" pictogram. You double click and run them as any other app.

@@Daniel_Maxin thank you for the feedback. i will try my best

Capital "I" is used, by default, in Maple, to indicate the imaginary unit (i.e. complex number sqrt(-1)). So when you enter "I" in math mode Maple interprets it as the complex number "i". There is a way to force Maple to assign a different symbol to sqrt(-1) which frees up "I" to be a general variable. You do this with the command "interface". I forgot the exact syntax. I just use a different letter. Typically, if a letter is reserved by Maple, it will appear straight (i.e. not italic) in math mode.

When teaching this class I used Fourier and Boundary Value Problems by Brown and Churchill. It covers many topics (more than one can cover in a semester class), lots of examples but not enough exercises (in my opinion). Still a good book overall

Thanks for the reply and for posting the great lectures!

No particular paper. The classical SIR model which is the one in the video without the "alpha" term is in nearly all textbooks on the topic as an introductory model. If you really need to cite it you can just pick any textbook that contains it. The wikipedia page has a list of citations for it en.wikipedia.org/wiki/Compartmental_models_in_epidemiology#The_SIR_model_without_vital_dynamics. The addition of the "alpha" terms was done by me just to add variation of these models for the purpose of teaching but I am sure this is not new. Most contemporary papers deal with models that have more features and terms than the ones chosen in the textbooks.

Atleast uske accent se pata chal jata hai ki banda Indian nahi hai, aur tum koi foreigner ko bolte ho ki hindi me baat kare Big brain indeed man

No. Using your form it should be 1/r^2(r^2*ur)r. One partial r inside the parantheses and another partial r for the whole paranthesis. Basically, in spherical coordinates the first two terms are U_rr+(2/r)U_r. The two can be brought in a single term either using the form in the video involving a second derivative in r outside the paranthesis, i.e. (1/r)(rU)_rr or using your form but with a single partial derivative outside the paranthesis and one inside, i.e. (1/r^2)*(r^2*U_r)_r Just expand both forms and you will see you get the same thing. Thanks for the comment

Glad I could help :)

You're welcome. Glad that it helped.