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### Short 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. Short sequences are  3 or 4 activities that are used together to explore a particular topic.

#### E & M Sequences

• Power Series Sequence Use a sequence of activities to introduce students to making approximations with power series expansions.
• Two Charges Sequence Use a sequence of activities to help students to visualize the electrostatic potential due to a pair of charges.
• Ring Sequence 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. (A Master's Thesis about the Ring Sequence)
• 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 Form 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.

### Overarching Sequences

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

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