Other Disciplines

Analytic geometry and trigonometry

Calculus

Differential equations (e.g., homogeneous, nonhomogeneous, Laplace transforms)

Numerical methods (e.g., algebraic equations, roots of equations, approximations, precision limits)

Linear algebra (e.g., matrix operations)

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

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

Estimation (e.g., point, confidence intervals)

Expected value (weighted average) in decision making

Sample distributions and sizes

Goodness of fit (e.g., correlation coefficient, least squares)

Periodic table (e.g., nomenclature, metals and nonmetals, atomic structure of matter)

Oxidation and reduction

Acids and bases

Equations (e.g., stoichiometry, equilibrium)

Gas laws (e.g., Boyle’s and Charles’ Laws, molar volume)

Sensors (e.g., temperature, pressure, motion, pH, chemical constituents)

Data acquisition (e.g., logging, sampling rate, sampling range, filtering, amplification, signal interface)

Data processing (e.g., flow charts, loops, branches)

Codes of ethics

NCEES Model Law and Model Rules

Public protection issues (e.g., licensing boards)

Industrial hygiene (e.g., carcinogens, toxicology, MSDS, lower exposure limits)

Basic safety equipment (e.g., pressure relief valves, emergency shut-offs, fire prevention and control, personal protective equipment)

Gas detection and monitoring (e.g., O2, CO, CO2, CH4, H2S, Radon)

Electrical safety

Time value of money (e.g., present worth, annual worth, future worth, rate of return)

Cost (e.g., incremental, average, sunk, estimating)

Economic analyses (e.g., breakeven, benefit-cost, optimal economic life)

Uncertainty (e.g., expected value and risk)

Project selection (e.g., comparison of unequal life projects, lease/buy/make, depreciation, discounted cash flow)

Resultants of force systems and vector analysis

Concurrent force systems

Force couple systems

Equilibrium of rigid bodies

Frames and trusses

Area properties (e.g., centroids, moments of inertia, radius of gyration)

Static friction

Kinematics

Linear motion (e.g., force, mass, acceleration)

Angular motion (e.g., torque, inertia, acceleration)

Mass moment of inertia

Impulse and momentum (linear and angular)

Work, energy, and power

Dynamic friction

Vibrations

Stress types (e.g., normal, shear, bending, torsion)

Combined stresses

Stress and strain caused by axial loads, bending loads, torsion, or shear

Shear and moment diagrams

Analysis of beams, trusses, frames, and columns

Deflection and deformations (e.g., axial, bending, torsion)

Elastic and plastic deformation

Failure theory and analysis (e.g., static/dynamic, creep, fatigue, fracture, buckling)

Physical, mechanical, chemical, and electrical properties of ferrous metals

Physical, mechanical, chemical, and electrical properties of nonferrous metals

Physical, mechanical, chemical, and electrical properties of engineered materials (e.g., polymers, concrete, composites)

Corrosion mechanisms and control

Fluid properties (e.g., Newtonian, non-Newtonian)

Dimensionless numbers (e.g., Reynolds number, Froude number)

Laminar and turbulent flow

Fluid statics

Energy, impulse, and momentum equations (e.g., Bernoulli equation)

Pipe flow and friction losses (e.g., pipes, valves, fittings, Darcy-Weisbach equation, Hazen-Williams equation)

Open-channel flow (e.g., Manning equation, drag)

Fluid transport systems (e.g., series and parallel operations)

Flow measurement

Turbomachinery (e.g., pumps, turbines)

Fluid properties (e.g., ideal and non-ideal gases)

Dimensionless numbers (e.g., Reynolds number, Mach number)

Laminar and turbulent flow

Fluid statics

Energy, impulse, and momentum equations

Duct and pipe flow and friction losses

Fluid transport systems (e.g., series and parallel operations)

Flow measurement

Turbomachinery (e.g., fans, compressors, turbines)

Electrical fundamentals (e.g., charge, current, voltage, resistance, power, energy)

Current and voltage laws (Kirchhoff, Ohm)

DC circuits

Equivalent circuits (series, parallel, Norton’s theorem, Thevenin’s theorem)

Capacitance and inductance

AC circuits (e.g., real and imaginary components, complex numbers, power factor, reactance and impedance)

Measuring devices (e.g., voltmeter, ammeter, wattmeter)

Energy, heat, and work

Thermodynamic laws (e.g., 1st law, 2nd law)

Thermodynamic equilibrium

Thermodynamic properties (e.g., entropy, enthalpy, heat capacity)

Thermodynamic processes (e.g., isothermal, adiabatic, reversible, irreversible)

Mixtures of nonreactive gases

Heat transfer (e.g., conduction, convection, and radiation)

Mass and energy balances

Property and phase diagrams (e.g., T-s, P-h)

Phase equilibrium and phase change

Combustion and combustion products (e.g., CO, CO2, NOX, ash, particulates)

Psychrometrics (e.g., relative humidity, wet-bulb)