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  1. Vector Analysis
    • Rectangular, cylindrical and spherical coordinate systems
    • Gradient of scalar fields
    • Divergence of vector fields
    • Curl of vector fields
    • Divergence theorem
    • Stokes’ theorem
  2. Maxwell’s Equations and Fields
    • Static and dynamic
    • Time-varying, static, and time-harmonic fields
    • Boundary conditions
    • Poisson and Laplace’s equations
    • Continuity equation
    • Constitutive relations
    • Current relations
  3. Wave Equations and Waves
    • Time-varying and time-harmonic wave equations
    • Helmholtz’s equations
    • Plane electromagnetic waves in lossless and lossy media
    • Parameters and properties of plane waves propagating in media (fields, velocity, propagation constant, etc.)
    • Material properties (loss, skin depth, etc.)
    • Poynting vector
    • Instantaneous and average power flow
    • Normal and oblique incidence of plane waves at boundaries
    • Reflection and transmission coefficients
    • Standing waves and voltage standing wave ratio (VSWR)
    • Incident, reflected and transmitted waves
  4. Transmission Lines
    • Transmission-line equations
    • Transmission-line equivalent circuit
    • Wave propagation on transmission lines
    • Transmission-line parameters (resistance, inductance, conductance and capacitance per unit length; characteristic impedance, propagation constant, wavelength, velocity, dispersion, distortion, etc.)
    • Input impedance of transmission lines
    • Open- and short-circuited transmission lines
    • Reflection coefficient, voltage standing wave ratio (VSWR)
  5. Smith Chart
    • Construction of Smith chart
    • Determination of reflection coefficient, VSWR, input impedance/admittance, and maximum/minimum voltage locations using Smith chart
    • Design single-stub impedance matching network using Smith chart