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Last updated:

September 25, 2023

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This course includes:

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Description

EE 44: Circuits and Systems (Caltech). Instructor: Professor Ali Hajimiri.

Fundamentals of circuits and network theory, circuit elements, linear circuits, terminals and port presentation, nodal and mesh analysis, time-domain analysis of circuits and systems, sinusoidal response, introductory frequency domain analysis, transfer functions, poles and zeros, time and transfer constants, network theorems, transformers.

Course Curriculum

  • 01. Circuits Fundamentals: Definitions, Graph Properties, Current & Voltage Unlimited
  • 02. Circuits Fundamentals: Passivity and Activity, KCL and KVL, Ideal Sources Unlimited
  • 03. Circuits Fundamentals: Resistance, Ohm’s Law, Linearity, Time-variance, Diode Circuits Unlimited
  • 04. Nodal Analysis: Ground, Y-Matrix, Node Voltage & Stimulus Vectors, … Unlimited
  • 05. Nodal Analysis: Examples, Dependent Sources, Existence of a Solution Unlimited
  • 06. Nodal Analysis (cont.): Nodal Analysis, Dependent Sources, with Voltage Sources, … Unlimited
  • 07. Mesh Analysis & Diode Circuits: Mesh Analysis, 3D Networks, Super Mesh, … Unlimited
  • 08. Circuit Theorems: Superposition, Thevenin, Norton, Source Transformation, … Unlimited
  • 09. Circuit Theorems: Source Transportation, Substitution Theorem, … Unlimited
  • 10. Active circuits: Op-Amp, Feedback, Asymptotic Equality, Inverting and … Unlimited
  • 11. Singularity Functions: Introduction, Unit Step, Pulse, and Dirac Delta Functions Unlimited
  • 12. Linear Systems: Dirac Delta, Sifting Property, Impulse Response, LTI, Convolution Unlimited
  • 13. Linear Systems: Convolution, Examples of System Response, Convolution Examples Unlimited
  • 14. Time-Domain Response: Capacitors and Inductors, RC Response, … Unlimited
  • 15. Time Domain Response: RC Step and Impulse Response Unlimited
  • 16. Heaviside Operator: Introduction, Basic Examples Unlimited
  • 17. Heaviside Operator: Low-Pass Operator, High-Pass Operator, … Unlimited
  • 18. Heaviside Operator: Circuit Examples Unlimited
  • 19. Heaviside Operator: Nodal Analysis Examples, Order of System, Oscilloscope Probe Unlimited
  • 20. Impulse Response of 2nd Order System: Complex Numbers, Real Poles, … Unlimited
  • 21. Heaviside Operator: Partial Fraction Expansion (PFE), Example Unlimited
  • 22. Heaviside Operator: Partial Fraction Expansion (PFE) with Multiple Roots, Example Unlimited
  • 23. Heaviside Operator: Operator Catalog, Solving Differential Equation Directly, Examples Unlimited
  • 24. Heaviside Operator: Time Delay, Convolution, Example Unlimited
  • 25. Heaviside Operator: Operator Catalog Review, Convolution Example Unlimited
  • 26. Heaviside Operator: Initial Conditions Unlimited
  • 27. System Function: Forced and Natural Response, Poles and Zeros, Time Domain View, … Unlimited
  • 28. Stability: Definition, Criterion, Poles Location, Routh-Hurwitz Method Unlimited
  • 29. Laplace Transform Summary: Definition, Properties Unlimited
  • 30. Intro to Network Synthesis, Complex Impedance Unlimited
  • 31. Sinusoidal Drive, Phasor Notations, Cascaded Systems, Intro to Bode Plot Unlimited
  • 32. Bode Plot: Properties, Poles and Zeros, Resonance (2nd Order Peaking) Unlimited
  • 33. Fourier Series and Fourier Transform: Intro, Basic Derivation Unlimited
  • 34. Fourier Transform: Spectrum, Time and Frequency Duality, Impulse, Sinc, Box Unlimited
  • 35. Fourier Transform: Modulation Unlimited
  • 36. Fourier Transform: Sampling Unlimited
  • 37. Time and Transfer Constants: Brief Introduction Unlimited
  • 38. Two-Port Networks: An Introduction Unlimited
  • 39. Course Brief Final Summary Unlimited

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