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Small Sequences

In many cases, we use several activities in a carefully controlled sequences, to help students see how information ties together. This is a major task for beginning upper-division learners.

E & M Sequences

  • Chopping and Adding Use a sequence of activities with similar geometries to help students learn how to solve a hard activity by breaking it up into several steps. Example: A sequence of five E&M activities that take students from being able to find the electric potential due to two point charges to being able to find the magnetic vector potential in all space due to a spinning ring of charge.
  • Plane Wave Sequence: Use a sequence of activities to help students understand what is planar about plane waves.
  • Representations of Fields Use a sequence of activities to develop students' geometrical understanding of electrostatic potentials and electric fields.
  • Gauss's and Ampère's Laws: Use a sequence of activities to help students understand how to use the integral form of Gauss's and Ampère's laws to find electric and magnetic fields in situations with high symmetry. These activities have a special emphasis on helping students make clean, coherent symmetry arguments.
  • The differential version of Maxwell's equations: Use a sequence of activities to help students understand the differential versions of Maxwell's equations. Included are activities that address the geometric interpretations of flux, divergence, and curl and also derivations of the Divergence theorem, Stokes' theorem, and using these theorems to derive the differential versions of Maxwell's equations from the integral versions.
  • Boundary conditions Use a sequence of activities to help students derive the boundary conditions for electromagnetic fields across charged surfaces or surface currents.

Classical Mechanics Sequences

  • Using a sequence of different kinds of activities to reinforce each other. Example: Effective Potentials

Quantum Mechanics Sequences

Under Construction

FIXME

  • Using a sequence of activities, some computational, to help students understand how to visualize electrostatic potentials. More potentials?

Large Sequences

Some sequences (or stories) occur over several Paradigms and Capstone courses:

Quantum Time evolution Examples of Quantum Systems Vector Spaces Differential Equations


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