Analytic geometry, single- and multivariable calculus, differential equations and Laplace transforms, linear algebra, and numerical methods.
C. Ordinary differential equations
F. Algorithm and logic development
Probability distributions, central tendency and dispersion, confidence intervals, expected value in decisions, and regression and curve fitting.
A. Probability distributions
B. Measures of central tendencies and dispersions
C. Expected value (weighted average) in decision making
D. Regression (linear, multiple), curve fitting, and goodness of fit
NCEES Model Law and codes of ethics, public health, safety, and welfare, intellectual property, and societal and sustainability considerations.
D. Societal considerations
Time value of money and annuities, cost types and breakdowns, and economic analyses including cost-benefit, break-even, and life cycle.
B. Cost types and breakdowns
Electrical fundamentals and magnetic flux, DC circuit analysis, AC circuits with R, L, and C, and motors and generators.
A. Electrical fundamentals
Resultants and concurrent force systems, equilibrium of rigid bodies, frames and trusses, centroids and moments of inertia, and static friction.
C. Equilibrium of rigid bodies
E. Centroids and moments of inertia
Kinematics and kinetics of particles and rigid bodies, work-energy and impulse-momentum, kinematics of mechanisms, and free and forced vibrations.
A. Kinematics of particles
C. Newton’s second law for particles
F. Kinematics of rigid bodies
G. Kinematics of mechanisms
H. Newton’s second law for rigid bodies
K. Free and forced vibrations
Axial, bending, torsion, shear, and thermal stress and strain, shear-moment diagrams, stress transformation and Mohr's circle, deformations, buckling, and indeterminate systems.
A. Shear and moment diagrams
B. Stress transformations and Mohr’s circle
C. Stress and strain caused by axial loads
E. Stress and strain caused by torsional loads
Mechanical, thermal, and electrical properties, stress-strain behavior, ferrous and nonferrous metals and engineered materials, phase diagrams and heat treating, corrosion, and failure mechanisms.
F. Manufacturing processes
G. Phase diagrams, phase transformation, and heat treating
I. Corrosion mechanisms and control
Fluid properties and statics, energy and momentum, internal and external flow, compressible flow and normal shock, and pump, fan, and compressor performance and scaling laws.
C. Energy, impulse, and momentum
Ideal gases and pure substances, the laws of thermodynamics, processes and component performance, power and refrigeration cycles, gas mixtures, psychrometrics, HVAC processes, and combustion.
A. Properties of ideal gases and pure substances
C. Laws of thermodynamics
K. Combustion and combustion products
Conduction through walls and cylinders, convection and Newton's law of cooling, radiation, transient (lumped) processes, and heat exchangers.
Sensors and transducers, signal conditioning and data acquisition, feedback control and block diagrams, dynamic system response, and measurement uncertainty.
A. Sensors and transducers
C. Dynamic system response
Stress analysis of machine elements, static and fatigue failure theories, springs, pressure vessels, bearings, power screws, power transmission, and joining methods.
B. Failure theories and analysis
K. Quality and reliability
L. Components (hydraulic, pneumatic, electromechanical)
M. Engineering drawing interpretations and geometric dimensioning and tolerancing (GD&T)