Overview and Authoring Guidelines

The PICUP Collection of Exercise Sets

The fundamental unit of the PICUP collection of educational materials is the "Exercise Set". All Exercise Sets are peer-reviewed and adaptable for faculty use. Standard Exercise Sets use numerical approaches that can be adapted to multiple platforms and Specialized Exercise Sets take advantage of particular computational platforms.

Exercise Type Any
Course Any
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Course Level Any
Programming Language Any
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10 Exercise Sets

Mathematical/Numerical Methods
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Monte Carlo error propagation

First Year Mathematical/Numerical Methods

Developed by Andy Runquist

Example Implementations: Mathematica, Easy Java Simulations, and Python

Separation of Variables in Cartesian Coordinates

Beyond the First Year Electricity & Magnetism and Mathematical/Numerical Methods

Developed by J. D. McDonnell

Example Implementation: IPython/Jupyter Notebook

Separation of Variables in Spherical Coordinates

Beyond the First Year Electricity & Magnetism and Mathematical/Numerical Methods

Developed by J. D. McDonnell----

Example Implementation: IPython/Jupyter Notebook

Curve Fitting

Beyond the First Year Mathematical/Numerical Methods and Experimental Labs

Developed by E. Ayars

Example Implementation: Python

Visualizing Effects of a Gravitational Wave with a Ring of Test Masses

Advanced Waves & Optics, Mathematical/Numerical Methods, and Astronomy/Astrophysics

Developed by Deva O'Neil and Parker Cline

Example Implementation: Glowscript

Lattice Elasticity, the Vibrating String, and Nonlinearity

Beyond the First Year and Advanced Waves & Optics, Mathematical/Numerical Methods, and Other

Developed by W. Freeman

Example Implementations: C/C++ and Easy Java Simulations



Submitted exercise sets

The following exercise sets have been submitted for peer review, but they have not yet been accepted for publication in the PICUP collection.

Introduction to Fourier Series

First Year and Beyond the First Year Mechanics, Waves & Optics, and Mathematical/Numerical Methods

Developed by B. D. DePaola

Example Implementations: Python and IPython/Jupyter Notebook

Ready for Review

Projectile motion with air resistance

Beyond the First Year Mechanics and Mathematical/Numerical Methods

Developed by David Jackson

Example Implementation: Python

Ready for Review

Sound and Fourier Transforms

Beyond the First Year Waves & Optics and Mathematical/Numerical Methods

Developed by Michelle Kuchera

Example Implementation: IPython/Jupyter Notebook

Ready for Review

Finding the Earth-Sun Lagrange Points

Beyond the First Year and Advanced Mechanics, Mathematical/Numerical Methods, and Astronomy/Astrophysics

Developed by Nicholas Nelson

Example Implementation: Python

Ready for Review