Electrical and Computer

Algebra and trigonometry

Complex numbers

Discrete mathematics

Analytic geometry

Calculus

Differential equations

Linear algebra

Vector analysis

Measures of central tendencies and dispersions (e.g., mean, mode, standard deviation)

Probability distributions (e.g., discrete, continuous, normal, binomial)

Expected value (weighted average) in decision making

Estimation for a single mean (e.g., point, confidence intervals, conditional probability)

Codes of ethics (professional and technical societies)

NCEES Model Law and Model Rules

Intellectual property (e.g., copyright, trade secrets, patents)

Time value of money (e.g., present value, future value, annuities)

Cost estimation

Risk identification

Analysis (e.g., cost-benefit, trade-off, breakeven)

Chemical (e.g., corrosion, ions, diffusion)

Electrical (e.g., conductivity, resistivity, permittivity, magnetic permeability)

Mechanical (e.g., piezoelectric, strength)

Thermal (e.g., conductivity, expansion)

Work, energy, power, heat

Charge, energy, current, voltage, power

Forces (e.g., between charges, on conductors)

Work done in moving a charge in an electric field (relationship between voltage and work)

Capacitance

Inductance

KCL, KVL

Series/parallel equivalent circuits

Thevenin and Norton theorems

Node and loop analysis

Waveform analysis (e.g., RMS, average, frequency, phase, wavelength)

Phasors

Impedance

Frequency/transient response

Resonance

Laplace transforms

Transfer functions

2-port theory

Convolution (continuous and discrete)

Difference equations

Z-transforms

Sampling (e.g., aliasing, Nyquist theorem)

Analog filters

Digital filters

Solid-state fundamentals (e.g., tunneling, diffusion/drift current, energy bands, doping bands, p-n theory)

Discrete devices (diodes, transistors, BJT, CMOS) and models and their performance

Bias circuits

Amplifiers (e.g., single-stage/common emitter, differential)

Operational amplifiers (ideal, non-ideal)

Instrumentation (e.g., measurements, data acquisition, transducers)

Power electronics

Single phase and three phase

Transmission and distribution

Voltage regulation

Transformers

Motors and generators

Power factor (pf)

Maxwell equations

Electrostatics/magnetostatics (e.g., measurement of spatial relationships, vector analysis)

Wave propagation

Transmission lines (high frequency)

Electromagnetic compatibility

Block diagrams (feed-forward, feedback)

Bode plots

Closed-loop and open-loop response

Controller performance (gain, PID), steady-state errors

Root locus

Stability

State variables

Basic modulation/demodulation concepts (e.g., AM, FM, PCM)

Fourier transforms/Fourier series

Multiplexing (e.g., time division, frequency division)

Digital communications

Routing and switching

Network topologies/frameworks/models

Local area networks

Number systems

Boolean logic

Logic gates and circuits

Logic minimization (e.g., SOP, POS, Karnaugh maps)

Flip-flops and counters

Programmable logic devices and gate arrays

State machine design

Data path/controller design

Timing (diagrams, asynchronous inputs, races, hazards)

Architecture (e.g., pipelining, cache memory)

Microprocessors

Memory technology and systems

Interfacing

Algorithms

Data structures

Software design methods (structured, object-oriented)

Software implementation (e.g., procedural, scripting languages)

Software testing