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I. Mathematics
• Analytic geometry
• Integral calculus
• Matrix operations
• Roots of equations
• Vector analysis
• Differential equations
• Differential calculus
II. Engineering Probability and Statistics
• Measures of central tendencies and dispersions (e.g., mean, mode, standard deviation)
• Probability distributions (e.g., discrete, continuous, normal, binomial)
• Conditional probabilities
• Estimation (e.g., point, confidence intervals) for a single mean
• Regression and curve fitting
• Expected value (weighted average) in decision-making
• Hypothesis testing
III. Chemistry
• Nomenclature
• Oxidation and reduction
• Periodic table
• States of matter
• Acids and bases
• Equations (e.g., stoichiometry)
• Equilibrium
• Metals and nonmetals
IV. Computers
• Terminology (e.g., memory types, CPU, baud rates, Internet)
• Spreadsheets (e.g., addresses, interpretation, “what if,” copying formulas)
• Structured programming (e.g., assignment statements, loops and branches, function calls)
V. Ethics and Business Practices
• Code of ethics (professional and technical societies)
• Agreements and contracts
• Ethical versus legal
• Professional liability
• Public protection issues (e.g., licensing boards)
VI. Engineering Economics
• Discounted cash flow (e.g., equivalence, PW, equivalent annual FW, rate of return)
• Cost (e.g., incremental, average, sunk, estimating)
• Analyses (e.g., breakeven, benefit-cost)
• Uncertainty (e.g., expected value and risk)
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VII. Engineering Mechanics (Statics and Dynamics)
• Statics
o Resultants of force systems
o Concurrent force systems
o Equilibrium of rigid bodies
o Frames and trusses
o Centroid of area
o Area moments of inertia
o Friction
• Dynamics
o Linear motion (e.g., force, mass, acceleration, momentum)
o Angular motion (e.g., torque, inertia, acceleration, momentum)
o Mass moments of inertia
o Impulse and momentum applied to:
particles
rigid bodies
o Work, energy, and power as applied to:
particles
rigid bodies
o Friction
VIII. Strength of Materials
• Shear and moment diagrams
• Stress types (e.g., normal, shear, bending, torsion)
• Stress strain caused by:
o axial loads
o bending loads
o torsion
o shear
• Deformations (e.g., axial, bending, torsion) E. Combined stresses F. Columns G. Indeterminant analysis H. Plastic versus elastic deformation
IX. Material Properties
• Properties
o chemical
o electrical
o mechanical
o physical
• Corrosion mechanisms and control
• Materials
o engineered materials
o ferrous metals
o nonferrous metals
X. Fluid Mechanics
• Flow measurement
• Fluid properties
• Fluid statics
• Energy, impulse, and momentum equations
• Pipe and other internal flow
XI. Electricity and Magnetism
• Charge, energy, current, voltage, power
• Work done in moving a charge in an electric field (relationship between voltage and work)
• Force between charges
• Current and voltage laws (Kirchhoff, Ohm)
• Equivalent circuits (series, parallel)
• Capacitance and inductance
• Reactance and impedance, susceptance and admittance
• AC circuits
• Basic complex algebra
XII. Thermodynamics
• Thermodynamic laws (e.g., 1st Law, 2nd Law)
• Energy, heat, and work
• Availability and reversibility
• Cycles
• Ideal gases
• Mixture of gases
• Phase changes
• Heat transfer
• Properties of:
o enthalpy
o entropy
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