*A. Vector Analysis Review
1. Vector algebra
2. The gradient
3. The laplacian
4. The divergence theorem
5. The Stokes theorem
6. Curvilinear coordinates
B. Electrostatics
1. Coulomb's Law, system of point charges
2. Electric field intensity
3. Continuous charge distributions
4. Gauss' law and its applications
5. The scalar potential for various charge configurations
C. Conductors
1. Basic properties
2. System of conductors
3. Capacitance
D. Electrostatic Energy
1. Systems of charges
2. Systems of conductors
3. Energy in terms of electric fields
E. Electric Multipoles
1. Multipole expansion of the scalar potential
2.The dipole field
3. The linear quadrupole field
F. Electrostatic Fields in Matter
1. Polarization
2. Bound charge densities
3. The electric field within a dielectric
4. Uniformly polarized sphere
5. The D-field
6. Linear isotropic homogeneous dielectrics
7. Susceptibility, permittivity, dielectric constant
G. Boundary Conditions at a Surface of Discontinuity
1. The divergence and the normal components
2. The curl and the tangential components
H. Special Methods for Calculating Electrostatic Potential
1. LaPlace's equation solution
2. Poisson's equation solution
3. Uniqueness theorems
4. The method of images
I. Electric Currents
1. Current and current densities
2. The equation of continuity
3. Energy relations
J. Magnetic Field
1. Straight current of finite length
2. Circular currents
3. Moving point charges
4. Ampere's Law
K. Maxwell's Equations
*denotes optional topic
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