math1800_2023
Mathematical Programming in Python
Spring 2023

https://people.sc.fsu.edu/~jburkardt/classes/math1800_2023/math1800_2023.html

math1800_2023 is the home page for the class "Mathematical Programming in Python," MATH 1800, University of Pittsburgh, Instructor: John Burkardt, Spring Semester 2023, 11:00-11:50, MWF, Benedum room G24.

• the course syllabus.

Topics:

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• 09 January 2023: Getting access to Python
• 11 January 2023: Python basics
• 13 January 2023: Making decisions with if() statements
• 18 January 2023: Looping with for() and while()
• 20 January 2023: Creating new functions
• 23 January 2023: Prime numbers
• 25 January 2023: Lists
• 27 January 2023: Making Magic
• 30 January 2023: matplotlib

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• 01 February 2023: Gaussian primes
• 03 February 2023: Matrix-vector programming with numpy()
• 06 February 2023: Matrix-vector programming with numpy() (continued)
• 08 February 2023: Random numbers
• 10 February 2023: Probability
• 13 February 2023: Simulation
• 15 February 2023: Grid geometry
• 17 February 2023: Simulation (continued)
• 20 February 2023: Euler method for differential equations
• 22 February 2023: Systems of differential equations
• 24 February 2023: Python's solve_ivp() for solving ODEs
• 27 February 2023: Animation

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• 01 March 2023: Conservation laws and ODEs
• 03 March 2023: The Collatz conjecture
• 06 March 2023: Spring break
• 08 March 2023: Spring break
• 10 March 2023: Spring break
• 13 March 2023: Collect and save data with dict and json
• 15 March 2023: Intermediate plotting with matplotlib
• 17 March 2023: Intermediate plotting with matplotlib
• 20 March 2023: Intermediate plotting with matplotlib
• 22 March 2023: The scipy scientific computing library
• 24 March 2023: The scipy scientific computing library
• 27 March 2023: Computational geometry: points and lines
• 29 March 2023: Class cancelled.
• 31 March 2023: Computational geometry: triangles

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• 03 April 2023: Computational geometry: triangles and polygons
• 05 April 2023: Computational geometry: hull, Voronoi, Delaunay
• 07 April 2023: Symbolic calculations with sympy
• 10 April 2023: A graph toolkit
• 12 April 2023: the traveling salesperson
• 14 April 2023: the page rank algorithm
• 17 April 2023: pandas: Series and DataFrames
• 19 April 2023: pandas: Basketball Bucks, (Last day of class)
• 21 April 2023: No class!

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Assignments:
"Solution" files have been removed temporarily.

• assignment01, due 19 January 2023.
• solution01.py, posted 20 January 2023.
• solution01.txt, posted 20 January 2023.
• assignment02, due 26 January 2023.
• solution02.py, posted 27 January 2023.
• solution02.txt, posted 27 January 2023.
• assignment03, due 02 February 2023.
• solution03.py, posted 03 February 2023.
• solution03.txt, posted 03 February 2023.
• assignment04, due 09 February 2023.
• solution04.py, posted 10 February 2023.
• solution04.txt, posted 10 February 2023.
• assignment05, due 16 February 2023.
• solution05.py, posted 17 February 2023.
• solution05.txt, posted 17 February 2023.
• assignment06, due 23 February 2023.
• solution06.py, posted 24 February 2023.
• solution06.txt, posted 24 February 2023.
• assignment07, due 02 March 2023.
• solution07.py, posted 03 March 2023.
• solution07.txt, posted 03 March 2023.
• assignment08, due 23 March 2023.
• solution08.py, posted 24 March 2023.
• solution08.txt, posted 24 March 2023.
• assignment09, due 30 March 2023.
• solution09.py, posted 31 March 2023.
• solution09.txt, posted 31 March 2023.
• assignment10, due 06 April 2023.
• solution10.py, posted 07 April 2023.
• solution10.txt, posted 07 April 2023.

Files:

• album_data.txt
• arenstorf.mpg
• arenstorf_animation.py
• arenstorf_solve_ivp.py
• basketball_data.csv
• basketball_test.py
• bulgaria_data.txt
• cellular_automaton.py
• checkerboard.py
• co2_data.txt, a data file of carbon dioxide levels over time.
• collatz_test.py
• duel.py
• el_nino_data.txt, a data file of el nino pressure variation over time.
• face.png
• fifteen.py
• fifteen_position.txt
• five.py
• five_position.txt
• five_letters.txt
• football_score.pdf
• forest_fire.py
• fortyeight.py
• fortyeight_position.txt
• geyser_data.txt
• graph_tools.py
• grook.txt
• i18.txt
• india_data.csv
• jeopardy.py
• json_test.py
• jumping_bean.pdf
• magic_matrix.py
• mario.py
• morse.py
• names.txt
• numpy_test.py
• pagerank.py
• percolation.py
• predator_prey_solve_ivp.py
• price_data.csv
• price_data.txt
• schoolyear_data.csv
• sir.py
• snowfall_data.txt
• states_test.py
• stiff_solve_ivp.py
• temperature_contour.py
• vanderpol_solve_ivp.py
• volcano_data.txt
• walk_1d.py

Links:

• https://www.anaconda.com/ , Anaconda;
• https://colab.research.google.com/ , Google Colab;
• https://docs.python.org/3/tutorial/ , Python tutorial;
• https://www.johndcook.com/blog , John D Cook's blog, frequently discusses small Python programs;
• https://scipython.com/ , Christian Hill, Learning Scientific Programming with Python;
• https://pythonnumericalmethods.berkeley.edu/notebooks/Index.html , Qingkai Kong, Timmy Siauw, Alexandre Bayen, Python Programming and Numerical Methods;