The following are some of my best posts about numerical calculations.

• Time is up.  There are no more excuses to leave numerical calculations out of introductory physics classes – here is why.
• How do students adjust to using numerical calculations in a physics course?  Here is a summary of student opinions about coding.
• What exactly is a numerical calculation anyway?  It’s the process of breaking a problem into many smaller problems.  Here is an older overview with an example of a mass on a spring.
• My interview with trinket.io – sloppy code is good.
• How do you teach numerical calculations (python) to high school teachers?  Here are some details on one of my workshops.
• This is not a numerical calculation, but once you start using python you can see how functions change.  Here is an example of the forces needed to hold a block against a wall at different angles.
• Numerical calculations let human solve problems that could not otherwise be solved.  My favorite example is the Three Body Problem.
• What about the motion of an object falling with air resistance?  It’s not impossible to calculate on paper – but it’s much easier with python.
• Another example – a curving soccer ball modeled with python.
• Modeling a sagging cable as a series of masses connected by springs.
• Why are planets spherical? Modeling planet formation with a bunch of smaller masses.
• Random walks in 1D, 2D, 3D, and 4D.
• Modeling the light reflecting off a mirror with Fermat’s Principle and python.
• Modeling the motion of a falling spacecraft (with air drag) – Tiangong-1.
• Numerical solution to the Brachistochrone problem.
• Pendulums are actually more complicated than you thought – here are three ways (with python) to model the motion.
• Determining the speed of light by looking at the moons of Jupiter – modeled with python.
• Calculating and visualizing electric field vectors with Vpython.
• Using functions to find the maximum range of a projectile.
• Electric field due to a charge distribution with numerical calculations.
• Numerical calculations for energy levels of a particle in a box (quantum mechanics) using the shooting method.
• How long does it take a pencil to tip over?
• Numerical calculations for Gauss’s Law and a cube. Here is the trinket code for the Guass’s Law cube.
• How would Thor punch The Hulk? Modeling collisions with python.
• Numerical calculations for mere mortals.  This is the stuff I use for my intro (algebra-based) physics courses.  It’s an online “book” that starts off with simple 1D stuff.
• Python Tutorials – for calc-based physics. This is a bit more advanced python stuff – but again it’s an online “book” with code right in it.
• I started making stuff for advanced physics – but didn’t finish.
• Finally, I attempted to make a large online book with coding from the beginning.  It’s not finished and I need to rethink some parts – but it’s here.