Note: This may be an open ended question

I am willing to create/ teach with the help of Mathematica in the subject of Numerical methods. This includes, linear algebra, ODE, PDE, Optimizations, Roots, Boundary value problems, and so on.

The only 2 programming I know is MMA and Python. There are a lot of texts on this subject in Python, please advise any texts that may be helpful.

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    $\begingroup$ Have you seen this and other books listed there ? wolfram.com/books/… $\endgroup$ – Lotus Sep 29 '17 at 12:47
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    $\begingroup$ In the list offered by Lotus I have found the book "Numerical Analysis, ninth edition" Authors: Richard L. Burden, J. Douglas Faires. Maybe it can help. I am not sure that it is Mathematica based, though. Addressing your question, I prefer to select a material for the teaching based on my understanding, of what I want to teach, and then to find, but more often to create the Mma code fitting exactly these cases. This, is a personal taste, of course. $\endgroup$ – Alexei Boulbitch Sep 29 '17 at 14:34
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    $\begingroup$ Some years ago I taught a numerical analysis course where students used Mathematica. The text was the 1993 "Elementary Numerical Computing with Mathematica", by Robert D. Skeel and the late Jerry B. Keiper. Excellent text that treats the topics you list except for BVPs. I see on amazon.com that a 2001 reprint version is available (says "selected material" from the original). $\endgroup$ – murray Sep 29 '17 at 15:54
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    $\begingroup$ The Skeel & Keiper book integrates use of Mathematica with the mathematical development. $\endgroup$ – murray Sep 29 '17 at 16:02
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    $\begingroup$ If you're interested in that text, you may want to have a look at the homework exercises, many from the text, and my Mathematica notebooks used for demo purposes or homework solutions, that is used in a 1996 version of the course. Most of the notebooks have been updated as of 2015-2016, but may need further updating for current Mathematica versions. Contact me at the email address indicated at people.math.umass.edu/~murray. $\endgroup$ – murray Sep 29 '17 at 16:02

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