Someone asked how to plot graph of the complex-valued map sqrt(1+z) with the domain being the unit disk using Mathematica (in this link) and my answer was you can use your understanding of the question and a piece of coding with Python and a plotting package (in my case matplotlib), the result of this simple idea is in the left (the detailed answer in this link).

I put many posts in iran.mathcircle website to answer many school and university students with many coding and piece of programs in different platforms and it's fun. As a simple example you can see Neville's algorithm for interpolation in six environments; C++, Python, Julia, Maple, Mathematica and Matlab in this link. Or you can see plot of gamma function with Python, Julia, Maple, Mathematica and Matlab in this link.

I may bring some examples of coding related todifferential inclusions, random graphs etc.

Notes and files I shared with the students for the course "Solving Polynomial Equations"
 I wrote everything hurriedly and just like as when you have fun preparing for the class, so prepare yourself for a bunch of typos (misspell and grammar, not math -hopefully- ^_^). Since I'm too busy with plenty of questions and projects at the same time, I don't have time to re-read these notes and edit them.
 The style of exercise sessions is that I give exercises in a Maple worksheet file before the class to the students. We will solve them at the class in this way that first I will explain things that might be new for them and they will need, then they have a few minutes time for each exercise. I will walk through them and check progress of each student and guide them what they do wrong or how they should start thinking about the question. Finally I solve the exercise and then we move to the next one. So I have some at-class worksheet files too which I share them as well, and finally after-class files with the whole solutions. In case someone didn't get something at the class time or may forget some details, they can always review these files. Sometimes I have slides or written notes on paper too. My duty in this course is the first 10 exercise sessions and 3 theory sessions at the end.

Note that the files for this page are uploaded on Google drive (the students get them on their course system), so when you click on a mw file you may see something weird, you must download mw files (after opening in Google drive) and then open with Maple software.

  • Exercise session 1 (2019.09.03 Tuesday 10:15-11:45): -Pre-session Maple file: mw format; pdf format.
                                                                                                            -At-session Maple file: mw format; pdf format.
                                                                                                            -After-session Maple file: mw format; pdf format.
  • Exercise session 2 (2019.09.05 Thursday 13:30-15:00): -Pre-session Maple file: mw format; pdf format.
                                                                                                              -At-session Maple file: mw format; pdf format.
                                                                                                              -Blackboard notes: pdf format.
                                                                                                              -After session Maple file: mw format; pdf format.
                                                                                                              -Students' questions Maple file: mw format; pdf format.
  • Exercise session 3 (2019.09.10 Tuesday 10:15-11:45): -Pre-session Maple file: mw format; pdf format.
                                                                                                            -Blackboard notes: pdf format.
                                                                                                            -After-session Maple file: mw format; pdf format.
  • Exercise session 4 (2019.09.12 Thursday 13:30-15:00): -Pre-session Maple file: mw format; pdf format.
                                                                                                              -At-session Maple file: mw format; pdf format.
                                                                                                              -Blackboard notes: pdf format.
                                                                                                              -After-session Maple file: mw format; pdf format.
  • Exercise session 5 (2019.09.17 Tuesday 10:15-11:45): -Pre-session Maple file: mw format; pdf format.
                                                                                                            -After-session Maple file: mw format; pdf format.
  • Exercise session 6 (2019.09.19 Thursday 13:00-14:30): -Pre-session Maple file: mw format; pdf format.
                                                                                                              -After-session Maple file: mw format; pdf format.
  • Exercise session 7 (2019.09.24 Tuesday 10:15-11:45): -Pre-session Maple file: mw format; pdf format.
                                                                                                            -Blackboard notes: pdf format.
                                                                                                            -After-session Maple file: mw format; pdf format.
  • Exercise session 8 (2019.09.26 Thursday 13:30-15:00): -Pre-session Maple file: mw format; pdf format.
                                                                                                              -Blackboard notes: pdf format.
                                                                                                              -After-session Maple file: mw format; pdf format.
  • Theory session 9 (2019.10.01 Tuesday 9:15-10:00): -Slides: pdf format.
                                                                                                       -GIF file: gif format.
                                                                                                       -Maple file of the computations: mw format; pdf format.
                                                                                                       -Blackboard notes: pdf format.
  • Exercise session 9 (2019.10.01 Tuesday 10:15-11:45): -Install Singular before today session; pdf format.
                                                                                                            -Pre-session file for Singular but written in Maple worksheet; mw format; pdf format.
                                                                                                            -After-session file written in Singular, combined monitored files: rtf format; pdf format.
  • Theory session 10 (2019.10.03 Thursday 10:00-11:30): -Maple file containing both computations and my verbal explanations at the class: mw format; pdf format.
                                                                                                              -Answer of the exercise of the break time: mw format; pdf format.
                                                                                                              -Student's questions Maple file: mw format; pdf format.
  • Exercise session 10 (2019.10.03 Thursday 13:30-15:00): -Pre-session Maple file: mw format; pdf format.
                                                                                                                -After-session Maple file: mw format; pdf format.
  • Theory session 13 (2019.10.22 Tuesday 9:15-10:00): -Slides: pdf format.
                                                                                                          -Maple file of the computations: mw format; pdf format.
                                                                                                          -After-session Maple file: mw format; pdf format.

Feel free to ask your questions regarding the materials covered by these files, or sending some feedback or pointing out any possible mistake of mine in math/programming ^_^

Free counters!

I wrote a summary introduction to how install and use Bertini, Python and Julia in Farsi. Links in below;
- Bertini
- Python
- Julia

Dear viewer, I'm checking some app that I made. So just feel free to ignore everything after this line ^_^
Here we see some stock prices.

  • A stock unit of AA is 12 USD.
  • A stock unit of AY is 0.01 USD.
  • A stock unit of AM is 20.5 USD.
  • A stock unit of RR is -12.3 USD.

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