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