ECE 110/Concept List F19

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List of concepts from each lecture in ECE_110 -- this is the Fall 2019 version.

Lecture 1

Lecture 2

  • Drawing logical schematics
  • Gray code
  • Karnaugh maps
  • Minimum sum of products (optimize the 1s)
  • Minimum product of sums (optimize the 0s then use DeMorgans twice to flip)

Lecture 3

  • Circuit terms (Element, Circuit, Path, Branch and Essential Branch, Node and Essential Node, Loop and Mesh).
  • Circuit topology (parallel, series)
  • Electrical quantities (charge, current, voltage, power)
  • Passive Sign Convention and Active Sign Convention and relation to calculating power absorbed and/or power delivered.

Lecture 4

  • Sign convention redux
  • Example of how to find $$i$$, $$v$$, and $$p_{\mathrm{abs}}$$
  • $$i$$-$$v$$ characteristics of various elements (short circuit, open circuit, switch, ideal independent voltage source, ideal independent current source, resistor)
  • How resistance is calculated $$R=\frac{\rho L}{A}$$
  • Dependent sources (VCVS, VCCS, CCVS, CCCS)
  • Deutsch

Lecture 5

Lecture 6

  • Voltage and current division

Lecture 7

  • Node Voltage Method
  • Examples in Resources/Examples/Methods page on Sakai

Lecture 8

  • Branch Current Method
  • Mesh Current Method
  • Examples in Resources/Examples/Methods page on Sakai

Lecture 9

  • Linearity
    • Nonlinear system examples (additive constants, powers other than 1, trig):
$$\begin{align*} y(t)&=x(t)+1\\ y(t)&=(x(t))^n, n\neq 1\\ y(t)&=\cos(x(t)) \end{align*} $$
    • Linear system examples (multiplicative constants, derivatives, integrals):
$$\begin{align*} y(t)&=ax(t)\\ y(t)&=\frac{d^nx(t)}{dt^n}\\ y(t)&=\int x(\tau)~d\tau \end{align*} $$
  • Superposition
    • Redraw the circuit as many times as needed to focus on each independent source individually
    • If there are dependent sources, you must keep them activated and solve for measurements each time

Lecture 10

  • Thévenin and Norton Equivalents
  • Circuits with independent sources, dependent sources, and resistances can be reduced to a single source and resistance from the perspective of any two nodes
  • Equivalents are electrically indistinguishable from one another
  • Several ways to solve

Lecture 11

  • Intro to capacitors and inductors
  • Basic physical models
  • Basic electrical models
  • Energy storage
  • Continuity requirements
  • DCSS equivalents

Lecture 12

  • First-order switched circuits with constant forcing functions
  • Sketching basic exponential decays

Lecture 13

  • Sinusoids and characteristics of sin waves
  • Complex numbers and representations (Cartesian, Polar, Euler)
  • Basic mathematical operations with complex numbers

Lecture 14

  • Test

Lecture 15

  • AC Steady state
  • Solving for single frequency sinusoidal forcing functions
  • Phasor notation and analysis
  • Transfer functions

Lecture 16

  • More phasor analysis
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