Introduction of Subjects
__Statics of Particles__
Vector Product (Cross Product)
Scalar Product (Dot Product)
Resultant Along A Line
Equilibrium of A Particle
Moment
Three Force Body
Centroid
Laws of Dry Friction and Coefficients of Friction
Angles of Friction
Encountering Dry Friction
Second Moment, or Moment of Inertia, of an Area
Polar Moment of Inertia
Radius of Gyration of an Area
Parallel Axis Theorem

+ Calculus, Multivariable

+ Calculus, Single Variable

Asymptotes
Inverse Functions
Odd and Even Functions
Polynomials
Rational Functions
Derivative
Integration by Parts
Taylor Polynomials
Taylor Series Approximations
The Definition of *e* and the Derivative of *e*^{x}

+ Chemistry

Atom
Molecule
Ion
Qualitative and Quantitative
Volume
Mass
Formula Masses
Hydrates
Stoichiometry
Molarity
Boyle's Law
Charles's Law
Avogadro's Law
Intramolecular Forces
Intermolecular Forces
Adhesive and Cohesive Forces
Half-life
Rate Laws for Common Reaction Orders

+ Drafting

AutoCAD MicroStation DGN DWG Conversion
AutoCAD MicroStation DGN to DWG Conversion
AutoCAD MicroStation DWG to DGN Conversion
AutoCAD Creating Title Blocks
AutoCAD Drawing Borders Into Layouts
AutoCAD Purge

+ Dynamics

Rectilinear Position
Rectilinear Velocity
Rectilinear Acceleration
Relative Position, Velocity, and Acceleration in One Dimension
Dependent Motion
Rotation of a Rigid Body About a Fixed Axis

+ Electric Circuits

Ideal Basic Circuit Element
Passive Sign Convention
Resistance
Ohm's Law
Kirchhoff's Laws
Voltage and Current Basics
Resistors in Series
Resistors in Parallel
Inductors
Inductance and Capacitance in Series and Parallel

+ Fatigue

Fatigue
Stress-Life
Modifying Factors
Modifying Factors, Size Effects
Modifying Factors, Temperature
Power Equation for Stress Life
Mean Stress Equations

+ Fluid Mechanics

Fluid Mechanics
Fluid
No-Slip Condition
No-Temperature-Jump Condition
Thermodynamic Properties of a Fluid
Viscosity
Viscosity and Flow Between Plates
Viscous and Inviscid Flow
Mach Number
Newtonian and Nonnewtonian Fluids
Reynolds Number
Kinematic Viscosity
Continuum
Streamlines, Streaklines, Pathlines, Timelines
Volume Flow Rate and Mass Flow Rate
Bernoulli's Equation
Static, Dynamic, and Stagnation Pressures
Laminar, Transitional, and Turbulent Flow
Surface Tension
Wetting, Nonwetting, and Contact Angle
Capillary Effect
Hydrostatic Forces on Submerged Plane Surfaces
Drag and Lift

+ Heat Transfer

Heat Transfer
Modes of Heat Transfer
Conduction
Thermal Conductivity
Convection
Radiation
Conservation of Energy for a Control Volume
Fourier's Law, The Conduction Rate Equation
Heat Diffusion Equation
Temperature Distribution Through a Plane Wall
Thermal Resistance
Conduction Shape Factor and Dimensionless Conduction Heat Rate

+ Linear Algebra

+ Machine Design

Elastic Strain
Failure and Failure Mode
Safety Factor
Design Factor and Safety Factor
Endurance Limit and Ultimate Strength
Cyclic Loading
Modified Goodman Diagram
Gear Terminology
Spur Gear Formulae and Nomenclature
Stress in Helical Springs
Stress Relieving
Design Considerations
Stress Concentration Factor
Joining Methods
Spring Clip Fastener
Wear
Contact Stress
Spherical Contact Stress
Cylindrical Contact Stress
Spring Materials
Types of Springs
Preload
Spring Design

+ Manufacturing

Brazing
Industrial Adhesives
Powder Metallurgy
Polymer Foaming Processes
Additive
Filler
Plasticizer
Colorant
Lubricant
Flame Retardant
Cross-Linking Agent
Galvanizing
Hot-Dip Galvanizing
Mechanical Galvanizing
Smelting
Electroplating
Cold Working
Warm Working
Hot Working
Isothermal Forming
Welding
Manufacturing Process
Sand Casting
Milling
Peripheral Milling
Face Milling
Material Removal Process
Chemical Cleaning
Alkaline Cleaning
Emulsion Cleaning
Solvent Cleaning
Acid Cleaning and Pickling
Ultrasonic Cleaning
Shot Peening
Blast Finishing
Methods to Protect Steel
Galling
Fluxing
Continuous Galvanizing
Zinc Spray Metallizing
Powder Coating
Plastics Manufacturing Processes
Thermoforming
Cold Forming
Rotational Molding
Passivating
PVC Coating
Chromium Zinc Coating

+ Materials Science

Corrosion
Property
Phase
Quantum Numbers
Valence
Dislocations
Slip, Slip Direction, Slip Plane
Schmid's Law
Surface Defects
Arrhenius Equation
Brinell and Rockwell Hardness
Fracture Toughness
Creep
Annealing
Gibbs Phase Rule
Isomorphous Binary Phase Diagram
Eutectic Binary Phase Diagram
Liquidus, Solidus, Solvus, and Eutectic
Cooling Curves
Unlimited and Limited Solubility
The Hume-Rothery Rules, Conditions for Unlimited Solid Solubility
Dispersion Strengthening
Three-Phase Reactions
Hypoeutectic and Hypereutectic
Age Hardening
Sohncke's Law
Tempering
Bend Test for Brittle Materials
Flexural Strength
Hydrogen Embrittlement
Strain Hardening
Macrosegregation
Microsegregation
Homogenization
Dendrite
Stereoregularity, Isotactic, Syndiotactic, and Atactic
Rust
Biological Corrosion
Cavitation Corrosion
Concentration Cell Corrosion
Corrosion Fatigue
Decarburization
Deposit Attack
Erosion Corrosion
Exfoliation Corrosion
Fretting Corrosion
Galvanic Corrosion
Gaseous Corrosion
Grooving
High-Temperature Corrosion
Hydrogen Blistering
Impingement
Intergranular Corrosion
Liquid Metal Corrosion
Pitting Corrosion
Selective Leaching
Stray Current Corrosion
Stress Corrosion Cracking
Thermogalvanic Corrosion
Tuberculation
Uniform Corrosion
Corrosion of Zinc Coatings

+ Math

Analytical, Graphical, and Numerical
Concave and Convex
Proportionality
Pi and Circles
Radians and Circles
Four Quadrants of the Cartesian Plane
Pythagorean Theorem
Logarithms
Understanding a Log-Log Graph
Complex Numbers, Real and Imaginary
The Complex Plane and Polar Coordinates
Euler's Formula
Composite Function

+ Mechanics of Materials

Stress
Normal Stress
Shear Stress
Uniformly Distributed Stress
Difference Between Stress and Strength
Single and Double Shear
Stresses on an Oblique Plane Under Axial Loading
Stress Under General Loading Conditions and Components of Stress
Strain
Normal Strain
Load-Deformation Diagram
Tensile Test
Brittle and Ductile
Yield Strength
Stress-Strain Diagram
Offset Yield Method
Necking
True Stress, True Strain, Engineering Stress, and Engineering Strain
Hooke's Law
Stiffness
Elastic Versus Plastic Behavior
Deformation Due To Axial Loading
Superposition Method
Elongation and Stress of a Member Due to Temperature
Effect of Temperature on Tensile Properties
Poisson's Ratio
Multiaxial Loading and Generalized Hooke's Law
Bulk Modulus and Dilation
Types of Loading
Ultimate Strength
Average Normal Stress in Solid Member
Torque
Torsion
Torsion of Rectangular Bars
Stresses In A Shaft
Transformation of Plane Stress
Principle Stresses and Maximum Shear Stress
Pure Bending
Symmetric Member in Pure Bending
Deformations in a Symmetric Member in Pure Bending
Stresses and Deformations in the Elastic Range
Deformations in a Transverse Cross Section
Bending of Members Made of Layered Materials
Bending of Curved Members
Buckling and Euler's Formula
Strain Energy
Strain-Energy Density
Modulus of Toughness
Modulus of Resilience
Impact Loading
Residual Stress
Stress Concentration

+ Modeling and Analysis of Dynamic Systems

+ Physics

Physics
Mass, English System of Units
Weight
Free Body Diagram
Temperature
Absolute Temperature Scale
Vector
Velocity
The Acceleration Vector
Parallel and Perpendicular Components of Acceleration
Projectile Motion
Uniform Circular Motion
Non-Uniform Circular Motion
Newton's Laws of Motion
Newton's Second Law
Inertial Frames of Reference and Newton's First Law
Force
Density and Specific Volume
Work
Specific Work
Torque in Relation to Work and Power
Energy
Kinetic Energy
Power
Potential Energy
Mechanical Energy and Conservation of Mechanical Energy
Conservative and Nonconservative Forces
Momentum and Impulse
Conservation of Energy
Angular Velocity
Angular Acceleration
Torque, Inertia, and Angular Acceleration for A Rigid Body
Bulk Stress
Bulk Strain
Compressibility
Pressure
Absolute, Gage, Vacuum, and Atmospheric Pressures
Pressure at a Point
Atomic Mass
Mole
Spring Constant
Ideal Gas Equation
Mean Free Path
Temperature Gradient
Moment of Inertia and Rotational Kinetic Energy
Friction
Rolling Friction

+ Process Improvement

FMEA
Design FMEA
Process FMEA
Service FMEA
Criticality Analysis
Failure Effect Probability
Failure Mode Criticality Number
Item Criticality Number

+ Statics

+ Statistics

+ Thermodynamics

Thermodynamics
Problem Analysis for Thermodynamics
Process
Cycle
Intermolecular Potential Energy
Molecular Kinetic Energy
Intramolecular Energy
Equality of Temperature
The Four Laws of Thermodynamics
Zeroth Law of Thermodynamics
Pure Substance
Quality
Compressibility Factor
Work at the Moving Boundary of a Simple Compressible System
Polytropic Process
Heat
Heat Versus Work
First Law of Thermodynamics
First Law of Thermodynamics for a Control Mass Undergoing a Cycle
First Law of Thermodynamics for a Change in State of a Control Mass
Internal Energy
Internal Energy and the First Law of Thermodynamics
Enthalpy
Specific Heat
Conservation of Mass
Steady-State Process
Coefficient of Performance
Irreversible Process
Reversible Process
Inequality of Clausius
Entropy
Entropy Generation
Internal Energy, Enthalpy, and Specific Heat of Ideal Gases
Gibbs Equations
The Dalton Model
Simplified Model of a Mixture Involving Gases and a Vapor
Relations for a Homogeneous Phase
Maxwell Relations
Cogeneration
Air-Standard Power Cycle
Thermal Efficiency

+ Trigonometry

+ Two Phase Flow