# Circuits and Systems with Prof. Ali Hajimiri

### Course Description

Topics include: fundamentals of circuits and network theory, circuit elements, linear circuits, terminals and port presentation, time-domain response, nodal and mesh analysis, sinusoidal response, introductory frequency domain analysis, transfer functions, poles and zeros, time and transfer constants, network theorems, introduction to state-space.

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### Video Lectures & Study Materials

# Lecture Play Lecture
1 Circuits Fundamentals: Definitions, graph properties, current & voltage, power & energy Play Video
2 Circuits Fundamental: Passivity and Activity, KCL and KVL, Ideal Sources Play Video
3 Circuits Fundamentals: Resistance, Ohm's law, linearity, time-variance, diode circuits. Play Video
4 Nodal Analysis: ground, Y-Matrix, node voltage & stimulus vectors, Linear algebra, determinant Play Video
5 Nodal Analysis: Examples, dependent sources, existence of a solution Play Video
6 Nodal Analysis Continued: Nodal analysis, dependent sources, with voltage sources, super nodes Play Video
7 Mesh Analysis & Diode Circuits: Mesh analysis, 3D networks, super mesh, diode circuit design Play Video
8 Circuit Theorems: Superposition, Thévenin, Norton, Source Transformation, Network Equivalence Play Video
9 Circuit Theorems: Source Transportation, Substitution Theorem, Maximum Power Transfer, Y-Delta Play Video
10 Active circuits: Op-Amp, Feedback, Asymptotic Equality, Inverting and non-inverting amplifiers Play Video
11 Singularity Functions: Introduction, Unit Step, Pulse, and Dirac Delta (Impulse) Functions Play Video
12 Linear Systems: Dirac Delta, Sifting Property, Impulse Response, LTI, Convolution Play Video
13 Linear Systems: Convolution, Examples of System Response, Convolution Examples Play Video
14 Time-Domain Response: Capacitors and Inductors, RC Response, General 1st-Order System Play Video
15 Time Domain Response: RC Step and Impulse Response Play Video
16 Heaviside Operator: Introduction, basic examples Play Video
17 Heaviside Operator: Low-Pass Operator, High-Pass Operator, Solving Differential Equations Play Video
18 Heaviside Operator: Circuit Examples Play Video
19 Heaviside Operator: Nodal Analysis Examples, Order of System, Oscilloscope Probe Play Video
20 Impulse Response of 2nd Order System: Complex Numbers, Real Poles, Underdamped and Over-damped Play Video
21 Heaviside Operator: Partial Fraction Expansion (PFE), Example Play Video
22 Heaviside Operator: PFE with Multiple Roots, Example Play Video
23 Heaviside Operator: Operator Catalog, Solving differential equation directly, Examples. Play Video
24 Heaviside Operator: Time Delay, Convolution, Example Play Video
25 Heaviside Operator: Operator Catalog Review, Convolution Example Play Video
26 Heaviside Operator: Initial Conditions Play Video
27 System Function: Forced and Natural Response, Poles and Zeros, Time Domain View, Laplace Xform Play Video
28 Stability: Definition, Criterion, Poles Location, South-Hurwitz Method Play Video
29 Laplace Transform Summary: Definition, Properties Play Video
30 Intro to Network Synthesis, Complex Impedance, Play Video
31 Sinusoidal Drive, Phasor Notations, Cascaded Systems, Intro to Bode Plot Play Video
32 Bode Plot: Properties, Poles and Zeros, Resonance (2nd Order Peaking) Play Video
33 Fourier Series and Fourier Transform. Intro, Basic Derivation Play Video
34 Fourier Transform: Spectrum, Time and Frequency Duality, Impulse, Sinc, Box Play Video
35 Fourier Transform: Modulation Play Video
36 Fourier Transform: Sampling Play Video
37 Time and Transfer Constants: Brief Introduction Play Video
38 Course Brief Final Summary Play Video