Circuits Fundamentals: Definitions, Graph Properties, Current & Voltage, Power & Energy

Circuits Fundamentals: Passivity and Activity, KCL and KVL, Ideal Sources

Circuits Fundamentals: Resistance, Ohm’s Law, Linearity, Time-variance, Diode Circuits

Nodal Analysis: Ground, Y-Matrix, Node Voltage & Stimulus Vectors, Linear Algebra, Determinant

Nodal Analysis: Examples, Dependent Sources, Existence of a Solution

Nodal Analysis (cont.): Nodal Analysis, Dependent Sources, with Voltage Sources, Super Nodes

Mesh Analysis & Diode Circuits: Mesh Analysis, 3D Networks, Super Mesh, Diode Circuit Design

Superposition, Thevenin, Norton, Source Transformation, Network Equivalence

Source Transportation, Substitution Theorem, Maximum Power Transfer, Y-Delta

Linear Systems: Dirac Delta, Sifting Property, Impulse Response, LTI, Convolution

Linear Systems: Convolution, Examples of System Response, Convolution Examples

Time-Domain Response: Capacitors and Inductors, RC Response, General 1st-Order System

Time Domain Response: RC Step and Impulse Response

Heaviside Operator: Introduction, Basic Examples

Heaviside Operator: Low-Pass Operator, High-Pass Operator, Solving Differential Equations

Heaviside Operator: Circuit Examples

Heaviside Operator: Nodal Analysis Examples, Order of System, Oscilloscope Probe

Impulse Response of 2nd Order System: Complex Numbers, Real Poles, Underdamped and Over-damped Response, Real and Complex Conjugate Roots

Heaviside Operator: Partial Fraction Expansion (PFE), Example

Heaviside Operator: Partial Fraction Expansion (PFE) with Multiple Roots, Example

Heaviside Operator: Operator Catalog, Solving Differential Equation Directly, Examples

Heaviside Operator: Time Delay, Convolution, Example

Heaviside Operator: Operator Catalog Review, Convolution Example

Heaviside Operator: Initial Conditions

System Function: Forced and Natural Response, Poles and Zeros, Time Domain View, Laplace Transform

Stability: Definition, Criterion, Poles Location, Routh-Hurwitz Method

Laplace Transform Summary: Definition, Properties

Intro to Network Synthesis, Complex Impedance

Sinusoidal Drive, Phasor Notations, Cascaded Systems, Intro to Bode Plot

Bode Plot: Properties, Poles and Zeros, Resonance (2nd Order Peaking)

Fourier Series and Fourier Transform: Intro, Basic Derivation

Fourier Transform: Spectrum, Time and Frequency Duality, Impulse, Sinc, Box

Fourier Transform: Modulation

Fourier Transform: Sampling

Time and Transfer Constants: Brief Introduction

Two-Port Networks: An Introduction

Course Brief Final Summary