I. Mechanical Design and Analysis
• Stress analysis (e.g., combined stresses, torsion, normal, shear)
• Failure theories (e.g., static, dynamic, buckling)
• Failure analysis (e.g., creep, fatigue, fracture, buckling)
• Deformation and stiffness
• Components (e.g., springs, pressure vessels, beams, piping, bearings, columns, power screws)
• Power transmission (e.g., belts, chains, clutches, gears, shafts, brakes, axles)
• Joining (e.g., threaded fasteners, rivets, welds, adhesives)
• Manufacturability (e.g., fits, tolerances, process capability)
• Quality and reliability
• Mechanical systems (e.g., hydraulic, pneumatic, electro-hybrid)

II. Kinematics, Dynamics, and Vibrations
• Kinematics of mechanisms
• Dynamics of mechanisms
• Rigid body dynamics
• Natural frequency and resonance
• Balancing of rotating and reciprocating equipment
• Forced vibrations (e.g., isolation, force transmission, support motion)

III. Materials and Processing
• Mechanical and thermal properties (e.g., stress/strain relationships, ductility, endurance, conductivity, thermal expansion)
• Manufacturing processes (e.g., forming, machining, bending, casting, joining, heat treating)
• Thermal processing (e.g., phase transformations, equilibria)
• Materials selection (e.g., metals, composites, ceramics, plastics, bio-materials)
• Surface conditions (e.g., corrosion, degradation, coatings, finishes)
• Testing (e.g., tensile, compression, hardness)

IV. Measurements, Instrumentation, and Controls
• Mathematical fundamentals (e.g., Laplace transforms, differential equations)
• System descriptions (e.g., block diagrams, ladder logic, transfer functions)
• Sensors and signal conditioning (e.g., strain, pressure, flow, force, velocity, displacement, temperature)
• Data collection and processing (e.g., sampling theory, uncertainty, digital/analog, data transmission rates)
• Dynamic responses (e.g., overshoot/time constant, poles and zeros, stability)

V. Thermodynamics and Energy Conversion Processes
• Ideal and real gases
• Reversibility/irreversibility
• Thermodynamic equilibrium
• Psychrometrics
• Performance of components
• Cycles and processes (e.g., Otto, Diesel, Brayton, Rankine)
• Combustion and combustion products
• Energy storage
• Cogeneration and regeneration/reheat

VI. Fluid Mechanics and Fluid Machinery
• Fluid statics
• Incompressible flow
• Fluid transport systems (e.g., pipes, ducts, series/parallel operations)
• Fluid machines: incompressible (e.g., turbines, pumps, hydraulic motors)
• Compressible flow
• Fluid machines: compressible (e.g., turbines, compressors, fans)
• Operating characteristics (e.g., fan laws, performance curves, efficiencies, work/power equations)
• Lift/drag
• Impulse/momentum

VII. Heat Transfer
• Conduction
• Convection
• Radiation
• Composite walls and insulation
• Transient and periodic processes
• Heat exchangers
• Boiling and condensation heat transfer