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Mathematical physics -- Problems, exercises, etc.

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Context Rich Problems Online Archives

New physics teaching resource sites continue to pop up every day, and this one from the University of Minnesota's Physics Education Research Group is a good find. The site is divided into two areas, one covering mechanics problems, and the other covering electricity and magnetic problems. Within these two areas, visitors can look through examples of linear kinematics problems, force problems,...

https://groups.spa.umn.edu/physed/Research/CRP/on-lineArchiv...
Dimensional Analysis

For many chemistry and physics students, some of the most frustrating problems involve dimensional analysis. This is a very important concept that is more related to mathematics and equation consistency than the sciences. A dimensional analysis tutorial is offered at the physics department's Web site of the University of Guelph. It is an excellent guide that helps students understand the five...

https://www.physics.uoguelph.ca/dimensional-analysis-tutoria...
Millennium Prize Problems

At their May meeting in Paris, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) named seven "Millennium Prize Problems," including The Poincare Conjecture and the Navier-Stokes Existence and Smoothness problem. Each solution is worth a $1 million prize from the Board of Directors of the CMI. The strict rules of competition (for example, a proposed solution must be published in a...

https://www.claymath.org/millennium-problems/