SWBQs for Static Vector Fields paradigm

Electricity & Magnetism SWBQs

• Drawing Amperian Loops

• Visualizing Ampere's Law

• Writing Charge Densities

• Recall Energy

• Drawing Equipotential Surfaces

• Recall Gauss' Law

• Relating Charge Densities, Electric Potentials, and Electric Fields

• Writing the Dimensions of Linear Charge Density

• Recall the Formula for the Magnetic Vector Potential

• Recall the Electrostatic Potential Due to a Point Charge

• Writing the Electric Potential in Terms of Charge Density

• Deriving the Differential Form of Ampere's Law

• Representations of Temperature in Two Dimensions

• Using Mass Density to Find the Total Mass

• Recall Work

Math Methods SWBQs

• Recall the Derivative

• Practice with the Delta Dirac Function

• Plotting Step (Theta) Functions

• Scalar Field Examples

• Practice with Theta Functions

Power Series SWBQs

• Conditions for Power Series

• Expanding Sine with a Power Series

Vector Calculus SWBQs

• Defining the Cross Product

• Taking the Curl of an Arbitrary Vector

• Finding the Infinitesimal Area Element of a Sphere

• Recall The Dot Product

• Drawing Displacement Vectors

• Drawing Vector Fields With Divergence or Curl

• Drawing in the Direction of the Gradient

• Recall Flux

• Defining the Gradient

• Computing the Magnitude of the Displacement Vector

• Deriving the "Master Formula"

• Recall the Scalar Triple Product

• Drawing Surfaces in Cylindrical Coordinates

• Writing the Total Differential

• Determining the Volume Element of a Cylinder