Fundamentals of Engineering

How is PMP pronounced? PIMP?

Heat Transfer

$\dot{Q}=-k A \frac{d T}{d x}$ a

Conduction	$\dot{Q}=-k A \frac{d T}{d x}$
Convection	$\dot{Q}=h A\left(T_w-T_{\infty}\right)$
Radiation	$\dot{Q}=\varepsilon \sigma A T^4$

1. Mathematics

   1. A.Analytic geometry

   2. B.Calculus (e.g., differential, integral, single-variable, multivariable)

   3. C.Ordinary differential equations (e.g., homogeneous, nonhomogeneous,Laplace transforms)

   4. D.Linear algebra (e.g., matrix operations, vector analysis)

   5. E.Numerical methods (e.g., approximations, precision limits, errorpropagation, Taylor's series, Newton's method)

   6. F.Algorithm and logic development (e.g., flowcharts, pseudocode)

2. Probability and Statistics

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

   2. B.Measures of central tendencies and dispersions (e.g., mean, mode,standard deviation, confidence intervals)

   3. C.Expected value (weighted average) in decision making

   4. D.Regression (linear, multiple), curve fitting, and goodness of fit(e.g., correlation coefficient, least squares)

3. Ethics and Professional Practice

   1. A.Codes of ethics (e.g., NCEES Model Law, professional and technical societies, ethical and legal considerations)

   2. B.Public health, safety, and welfare

   3. C.Intellectual property (e.g., copyright, trade secrets, patents, trademarks)

   4. D.Societal considerations (e.g., economic, sustainability, life-cycleanalysis, environmental)

4. Engineering Economics4–6

   1. A.Time value of money (e.g., equivalence, present worth, equivalent annualworth, future worth, rate of return, annuities)

   2. B.Cost types and breakdowns (e.g., fixed, variable, incremental, average, sunk)

   3. C.Economic analyses (e.g., cost-benefit, break-even, minimum cost,overhead, life cycle)

5. Electricity and Magnetism 5–8

   1. A. Electrical fundamentals (e.g., charge, current, voltage, resistance, power, energy, magnetic flux)

   2. B. DC circuit analysis (e.g., Kirchhoff's laws, Ohm's law, series, parallel)

   3. C. AC circuit analysis (e.g., resistors, capacitors, inductors)

   4. D. Motors and generators

6. Statics

   1. A. Resultants of force systems

   2. B. Concurrent force systems

   3. C. Equilibrium of rigid bodies

   4. D. Frames and trusses

   5. E. Centroids and moments of inertia

   6. F. Static friction

7. Dynamics, Kinematics, and Vibrations

   1. A. Kinematics of particles

   2. B. Kinetic friction

   3. C. Newton’s second law for particles

   4. D. Work-energy of particles

   5. E. Impulse-momentum of particles

   6. F. Kinematics of rigid bodies

   7. G. Kinematics of mechanisms

   8. H. Newton’s second law for rigid bodies

   9. I. Work-energy of rigid bodies

   10. J. Impulse-momentum of rigid bodies

   11. K. Free and forced vibrations

8. Mechanics of Materials

   1. A. Shear and moment diagrams

   2. B. Stress transformations and Mohr's circle

   3. C. Stress and strain caused by axial loads

   4. D. Stress and strain caused by bending loads

   5. E. Stress and strain caused by torsional loads

   6. F. Stress and strain caused by shear

   7. G. Stress and strain caused by temperature changes

   8. H. Combined loading

   9. I. Deformations

   10. J. Column buckling

   11. K. Statically indeterminate systems

9. Material Properties and Processing

   1. A. Properties (e.g., chemical, electrical, mechanical, physical, thermal)

   2. B. Stress-strain diagrams

   3. C. Ferrous metals

   4. D. Nonferrous metals

   5. E. Engineered materials (e.g., composites, polymers)

   6. F. Manufacturing processes

   7. G. Phase diagrams, phase transformation, and heat treating

   8. H. Materials selection

   9. I. Corrosion mechanisms and control

   10. J. Failure mechanisms (e.g., thermal failure, fatigue, fracture, creep)

10. Fluid Mechanics

    1. A. Fluid properties

    2. B. Fluid statics

    3. C. Energy, impulse, and momentum

    4. D. Internal flow

    5. E. External flow

    6. F. Compressible flow (e.g., Mach number, isentropic flow relationships, normal shock)

    7. G. Power and efficiency

    8. H. Performance curves

    9. I. Scaling laws for fans, pumps, and compressors

11. Thermodynamics

12. A. Properties of ideal gases and pure substances B. Energy transfers C. Laws of thermodynamics D. Processes E. Performance of components F. Power cycles G. Refrigeration and heat pump cycles H. Nonreacting mixtures of gases I. Psychrometrics J. Heating, ventilation, and air-conditioning (HVAC) processes K. Combustion and combustion products

13. Heat Transfer A. Conduction B. Convection C. Radiation D. Transient processes E. Heat exchangers

14. Measurements, Instrumentation, and Controls 5–8 A. Sensors and transducers B. Control systems (e.g., feedback, block diagrams) C. Dynamic system response D. Measurement uncertainty (e.g., error propagation, accuracy, precision, significant figures)

15. Mechanical Design and Analysis 10–15 A. Stress analysis of machine elements B. Failure theories and analysis C. Deformation and stiffness D. Springs E. Pressure vessels and piping F. Bearings G. Power screws H. Power transmission I. Joining methods (e.g., welding, adhesives, mechanical fasteners) J. Manufacturability (e.g., limits, fits) K. Quality and reliability L. Components (e.g., hydraulic, pneumatic, electromechanical) M. Engineering drawing interpretations and geometric dimensioning and tolerancing (GD&T)