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Topic I: mathematics and advanced engineering mathematics
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Topic VII: engineering economics
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analytic geometry and trigonometry
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time value of money (e.g., present worth, annual worth, future worth, rate of return)
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calculus
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cost (e.g., incremental, average, sunk, estimating)
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differential equations (e.g., homogeneous, nonhomogeneous, Laplace transforms)
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economic analyses (e.g., breakeven, benefit-cost, optimal economic life)
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numerical methods (e.g., algebraic equations, roots of equations, approximations, precision limits)
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uncertainty (e.g., expected value and risk)
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linear algebra (e.g., matrix operations)
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project selection (e.g., comparison of unequal life projects, lease/buy/make, depreciation, discounted cash flow)
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Topic II: probability and statistics
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Topic VIII: statics
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measures of central tendencies and dispersions (e.g., mean, mode, variance, standard deviation)
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resultants of force systems and vector analysis
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probability distributions
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concurrent force systems
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(e.g., discrete continuous, normal, binomial)
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force couple systems
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estimation (e.g., point, confidence intervals)
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equilibrium of rigid bodies
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expected value (weighted average) in decision making
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frames and trusses
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sample distributions and sizes
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area properties (e.g., centroids, moments of inertia, radius of gyration)
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goodness of fit (e.g., correlation coefficient, least squares)
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static friction
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Topic III: chemistry
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Topic IX: dynamics
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periodic table (e.g., nomenclature, metals and nonmetals, atomic structure of matter)
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kinematics
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oxidation and reduction
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linear motion (e.g., force, mass, acceleration)
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acids and bases
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angular motion (e.g., torque, inertia, acceleration)
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equations (e.g., stoichiometry, equilibrium)
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mass moment of inertia
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gas laws (e.g., Boyle’s and Charles’ laws, molar volume)
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impulse and momentum (linear and angular)
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Topic IV: instrumentation and data acquisition
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work, energy, and power
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sensors (e.g., temperature, pressure, motion, pH, chemical constituents)
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dynamic friction
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data acquisition (e.g., logging, sampling rate, sampling range, filtering, amplification, signal interface)
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vibrations
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data processing (e.g., flow charts, loops, branches)
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Topic X: strength of materials
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Topic V: ethics and professional practice
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stress types (e.g., normal, shear, bending, torsion)
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code of ethics
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combined stresses
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NCEES Model Law
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stress and strain caused by axial loads, bending loads, torsion, or shear
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public protection issues (e.g., licensing boards)
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shear and moment diagrams
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Topic VI: safety, health, and environment
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analysis of beams, trusses, frames, and columns
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industrial hygiene (e.g., carcinogens, toxicology, MSDS, lower exposure limits)
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deflection and deformations (e.g., axial, bending, torsion)
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basic safety equipment (e.g., pressure relief valves, emergency shut-offs, fire prevention and control, personal protective equipment)
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elastic and plastic deformation
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gas detection and monitoring (e.g., O2, CO, CO2, CH4, H2S, radon)
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failure theory and analysis (e.g., static/dynamic, creep, fatigue, fracture, buckling)
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electrical safety
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Topic XI: materials science
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Topic XIV: electricity, power, and magnetism
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physical, mechanical, chemical, and electrical properties of ferrous metals
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electrical fundamentals (e.g., charge, current, voltage, resistance, power, energy)
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physical, mechanical, chemical, and electrical properties of nonferrous metals
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current and voltage laws (e.g., Kirchhoff, Ohm)
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physical, mechanical, chemical, and electrical properties of engineered materials (e.g., polymers, concrete, composites)
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DC circuits
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corrosion mechanisms and control
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equivalent circuits (e.g., series, parallel, Norton’s theorem, Thevenin’s theorem)
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Topic XII: fluid mechanics and dynamics of liquids
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capacitance and inductance
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fluid properties (e.g., Newtonian, nonNewtonian)
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AC circuits (e.g., real and imaginary components, complex numbers, power factor, reactance and impedance)
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dimensionless numbers (e.g., Reynolds number, Froude number)
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measuring devices (e.g., voltmeter, ammeter, wattmeter)
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laminar and turbulent flow
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Topic XV: heat, mass, and energy transfer
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fluid statics
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energy, heat, and work
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energy, impulse, and momentum equations (e.g., Bernoulli equation)
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thermodynamic laws (e.g., 1st law, 2nd law)
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pipe flow and friction losses (e.g., pipes, valves, fittings, Darcy-Weisbach equation, Hazen-Williams equation)
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thermodynamic equilibrium
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open-channel flow (e.g., Manning equation, drag)
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thermodynamic properties (e.g., entropy, enthalpy, heat capacity)
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fluid transport systems (e.g., series and parallel operations)
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thermodynamic processes (e.g., isothermal, adiabatic, reversible,
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flow measurement
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irreversible)
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turbomachinery (e.g., pumps, turbines)
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mixtures of nonreactive gases
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Topic XIII: fluid mechanics and dynamics of gases
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heat transfer (e.g., conduction, convection, and radiation)
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fluid properties (e.g., ideal and non-ideal gases)
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mass and energy balances
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dimensionless numbers (e.g., Reynolds number, Mach number)
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property and phase diagrams (e.g., T-s, P-h)
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laminar and turbulent flow
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phase equilibrium and phase change
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fluid statics
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combustion and combustion products (e.g., CO, CO2, NOx, ash, particulates)
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energy, impulse, and momentum equations
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psychrometrics (e.g., relative humidity, wet-bulb)
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duct and pipe flow and friction losses
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fluid transport systems (e.g., series and parallel operations)
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flow measurement
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turbomachinery (e.g., fans, compressors, turbines)
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