The nature of electromagnetic fields and waves. Transmission lines modeled as distributed circuits. Propagation of waves and wave reflections on transmission lines. Review of vector analysis, coordinate systems, gradient, divergence, curl; review of surface and volume integrals. Electrostatic and magnetostatic fields and boundary conditions. Fields in conductors, dielectrics and magnetic materials. Time-varying fields and electromagnetic induction. Maxwell's equations for time-varying fields.

Electromagnetic fields in dielectric and lossy media, transmission lines, antennas and resonators treated with the concepts of duality, image theory, reciprocity, integral equations and other techniques. Boundary and initial value problems solved for several frequently encountered symmetries.

Analysis and design of passive microwave devices, including resonators, filters, and ferrite devices, in various transmission-line media. Noise and noise effects in detectors, mixers, and modulators. Introduction to FET amplifier design.

Maxwell's equations, transient electromagnetics, integral equations, uniform theory of diffraction, asymptotic methods, Green's functions, layered media.

Linear systems and state equations, linearity, time-invariance, memory, causality, dynamical systems and state variables; vectors and vector spaces, linear independence and bases, rank and degeneracy, linear operators, eigenvalues, eigenvectors; linear functionals, matrix functions, quadratic form, Jordan form; solutions to state equations, stability, controllability and observability, state feedback and realization.

The overall objective is to provide a broad introduction of non-linear dynamics to students who have not had prior exposure to the subject as well as to expose the students to the characterization and treatment of non-linear systems by means of mathematical and physical techniques. The topics of discussion will include one and two-dimensional flows, bifurcation, synchronization, resonance, non-uniform oscillator, phase portraits, chaos and strange attractors.