Electrical engineering
Signals and logic
Fourier sketch, sampling, Boolean algebra.
Basics
Frequency view
A periodic signal can be a sum of sines. Filters pick bands. Noise spreads in the spectrum. Communications ride information on a carrier (AM/FM/digital modulation).
Boolean algebra
AND, OR, NOT, De Morgan. Combinational logic has no memory; sequential uses flip-flops and state. A clock synchronizes. Twos-complement addition is the usual integer arithmetic.
Formulas
Channel capacity (sketch)
An upper bound on bit rate given bandwidth B and SNR.
Symbols
-
Bbandwidth (Hz) -
S/Nsignal-to-noise power ratio
In this field
DC circuits
Ohm, Kirchhoff, series/parallel, power.
Capacitors, inductors, AC
Charge/discharge, reactance, impedance, resonance.
Power, semiconductors, digital
Transformers, three-phase, diodes, gates.
Magnetism, motors, control
Faraday, motors, filters, feedback.
Semiconductors
Carriers, diodes, a MOSFET sketch.
Measurements and electrical safety
Multimeters, RMS versus peak, transformer ratio, and electrical safety.
Op-amps and filters
The ideal op-amp, inverting and non-inverting gain, RC low- and high-pass, cutoff frequency.
Digital logic
Boolean algebra, gates, flip-flops, and timing.
Three-phase power
Line versus phase, Y and Δ, √3 power, and a motor sketch.
Batteries and photovoltaics
Capacity and C-rate, series/parallel packs, PV I–V curves, and the maximum-power point.