# InfoCoBuild

## EE 44: Circuits and Systems

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.

 Circuits Fundamentals

 01. Circuits Fundamentals: Definitions, Graph Properties, Current & Voltage, Power & Energy 02. Circuits Fundamentals: Passivity and Activity, KCL and KVL, Ideal Sources 03. Circuits Fundamentals: Resistance, Ohm's Law, Linearity, Time-variance, Diode Circuits 04. Nodal Analysis: Ground, Y-Matrix, Node Voltage & Stimulus Vectors, Linear Algebra, Determinant 05. Nodal Analysis: Examples, Dependent Sources, Existence of a Solution 06. Nodal Analysis (cont.): Nodal Analysis, Dependent Sources, with Voltage Sources, Super Nodes 07. Mesh Analysis & Diode Circuits: Mesh Analysis, 3D Networks, Super Mesh, Diode Circuit Design 08. Circuit Theorems: Superposition, Thevenin, Norton, Source Transformation, Network Equivalence 09. Circuit Theorems: Source Transportation, Substitution Theorem, Maximum Power Transfer, Y-Delta 10. Active circuits: Op-Amp, Feedback, Asymptotic Equality, Inverting and Noninverting Amplifiers 11. Singularity Functions: Introduction, Unit Step, Pulse, and Dirac Delta (Impulse) Functions 12. Linear Systems: Dirac Delta, Sifting Property, Impulse Response, LTI, Convolution 13. Linear Systems: Convolution, Examples of System Response, Convolution Examples 14. Time-Domain Response: Capacitors and Inductors, RC Response, General 1st-Order System 15. Time Domain Response: RC Step and Impulse Response 16. Heaviside Operator: Introduction, Basic Examples 17. Heaviside Operator: Low-Pass Operator, High-Pass Operator, Solving Differential Equations 18. Heaviside Operator: Circuit Examples 19. Heaviside Operator: Nodal Analysis Examples, Order of System, Oscilloscope Probe 20. Impulse Response of 2nd Order System: Complex Numbers, Real Poles, Underdamped and Over-damped Response, Real and Complex Conjugate Roots 21. Heaviside Operator: Partial Fraction Expansion (PFE), Example 22. Heaviside Operator: Partial Fraction Expansion (PFE) with Multiple Roots, Example 23. Heaviside Operator: Operator Catalog, Solving Differential Equation Directly, Examples 24. Heaviside Operator: Time Delay, Convolution, Example 25. Heaviside Operator: Operator Catalog Review, Convolution Example 26. Heaviside Operator: Initial Conditions 27. System Function: Forced and Natural Response, Poles and Zeros, Time Domain View, Laplace Transform 28. Stability: Definition, Criterion, Poles Location, Routh-Hurwitz Method 29. Laplace Transform Summary: Definition, Properties 30. Intro to Network Synthesis, Complex Impedance 31. Sinusoidal Drive, Phasor Notations, Cascaded Systems, Intro to Bode Plot 32. Bode Plot: Properties, Poles and Zeros, Resonance (2nd Order Peaking) 33. Fourier Series and Fourier Transform: Intro, Basic Derivation 34. Fourier Transform: Spectrum, Time and Frequency Duality, Impulse, Sinc, Box 35. Fourier Transform: Modulation 36. Fourier Transform: Sampling 37. Time and Transfer Constants: Brief Introduction 38. Two-Port Networks: An Introduction 39. Course Brief Final Summary