| Topic I: mathematics | Topic X: electronics |
| Algebra and Trigonometry | Solid-state fundamentals (e.g., tunneling, diffusion/drift current, energy bands, doping bands, p-n theory) |
| Complex numbers | Discrete devices (diodes, transistors, BJT, CMOS) and models and their performance |
| Discrete mathematics | Bias circuits |
| Analytic geometry | Amplifiers (e.g., single-stage/common emitter, differential) |
| Calculus | Operational amplifiers (ideal, non-ideal) |
| Differential equations | Instrumentation (e.g., measurements, data acquisition, transducers) |
| Linear algebra | Power electronics |
| Vector analysis | Topic XI: power |
| Topic II: probability and statistics | Single phase and three phase |
| Measures of central tendencies and dispersions (e.g., mean, mode, standard deviation) | Transmission and distribution |
| Probability distributions (e.g., discrete, continuous, normal, binomial) | Voltage regulation |
| Expected value (weighted average) in decision making | Transformers |
| Estimation for a single mean (e.g., point, confidence intervals, conditional probability) | Motors and generators |
| Topic III: Ethics and Professional Practice | Power factors (pf) |
| Codes of ethics (professional and technical societies) | Topic XII: electromagnetics |
| NCEES Model Law and Model Rules | Maxwell equations |
| Intellectual property (e.g., copyright, trade secrets , patents) | Electrostatics/magnetostatics (e.g., measurement of spatial relationships, vector analysis) |
| Topic IV: engineering economics | Wave propagation |
| Time value of money (e.g., present value, future value, annuities) | Transmission lines (high frequency) |
| Cost estimation | Electromagnetic compatibility |
| Risk identification | Topic XIII: control systems |
| Analysis (e.g., cost-benefit, trade-off, breakeven) | Block diagrams (feed-forward, feedback) |
| Topic V: properties of electrical materials | Bode plots |
| Chemical (e.g., corrosion, ions, diffusion) | Closed-loop and open-loop response |
| Electrical (e.g., conductivity, resistivity, permittivity, magnetic permeability) | Controller performance (gain, PID), steady-state errors |
| Mechanical (e.g., piezoelectric, strength) | Root locus |
| Thermal (e.g., conductivity, expansion) | Stability |
| Topic VI: engineering sciences | State variables |
| Work, energy, power, heat | Topic XIV: communications |
| Charge, energy, current, voltage, power | Basic modulation/demodulation concepts (e.g., AM, FM, PCM) |
| Forces (e.g., between charges, on conductors) | Fourier transforms/Fourier series |
| Work done in moving a charge in an electric field (relationship between voltage and work) | Multiplexing (e.g., time division, frequency division) |
| Capacitance | Digital communications |
| Inductance | Topic XV: computer networks |
| Topic VII: circuit analysis (DC and AC steady state) | Routing and switching |
| KCL, KVL | Network topologies/frameworks/models |
| Series/parallel equivalent circuits | Local area networks |
| Thevenin and Norton theorems | Topic XVI: digital systems |
| Node and loop analysis | Number systems |
| Waveform analysis (e.g., RMS, average, frequency, phase, wavelength) | Boolean logic |
| Phasors | Logic gates and circuits |
| Impedance | Logic minimization (e.g., SOP, POS, Karnaugh maps) |
| Topic VIII: linear systems | Flip–flops and counters |
| Frequency/transient response | Programmable logic devices and gate arrays |
| Resonance | State machine design |
| Laplace transforms | Data path/controller design |
| Transfer functions | Timing (diagrams, asynchronous inputs, races, hazards) |
| 2-port theory | Topic XVII: computer systems |
| Topic IX: signal processing | Architecture (e.g., pipelining, cache memory) |
| Convolution (continuous and discrete) | Microprocessors |
| Difference equations | Memory technology and systems |
| Z-transforms | Interfacing |
| Sampling (e.g., aliasing, Nyquist theorem) | Topic XVIII: software development |
| Analog filters | Algorithms |
| Digital filters | Data structures |
| | Software design methods (structured, object-oriented) |
| | Software implementation (e.g., procedural, scripting languages) |
| | Software testing |