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Other Discipline

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Analytic Geometry:
Straight Line
Conics
Circle
Parabola
Hyperbola
Distance Formula

Calculus:
Limits
Derivatives
Applications of Derivatives
Partial Derivatives
Indefinite Integration
Definite Integration

Ordinary Differential Equations:
First Order DE
Higher Order Homogeneous
Nonhomogeneous DE
Laplace Transform

Linear Algebra:
Matrices
Determinants
Vectors
Dot and Cross Products
Gradient
Divergence
Curl

Numerical Methods:
Newton's Methods
Approximation
Error Propagation
Precision Limits
Taylor's Series

Probability Distributions:
Probability Concepts
Binomial Distribution
Normal Distribution
Student's t- Distribution
Chi-squared Distribution

Measures of Central Tendencies and Dispersions:
Mean
Median
Mode
Standard Deviation and Variance

Expected Value:
PDF and CDF
Expected Value- Continuous
Expected Value- Discrete

Regression:
Linear Regression
Correlation Coefficient

Oxidation and Reduction:
Oxidation/Reduction Reactions
Corrosion Terminology
Corrosion Mechanism
EMF Series
Galvanic Series
Corrosion Control

Acids and Bases:
pH
Buffers

Chemical Reactions:
Stoichiometry
Molarity
Normality
Molality
Equilibrium
Bioconversion

Sensors:
LVDT
RTD
Thermocouple
Strain Gage
Wheatstone Bridge
Piezoelectric Trans
Pressure Sensors
pH Sensor

Data Acquisition:
Logging
Aliasing
Nyquist Theorem
Filtering- Analog Filters
Amplification
Signal Interface
Signal Processing
A/D Converters
D/A Converters

Logic Diagrams:
NOT OR and AND Gates
NOR and NAND Gates
EXOR and EXNOR Gates
Time Delays
Adv Logic Devices

Codes of Ethics:
NCEES Model Law
Ethical/Legal Considerations

Public Protection Issues:
Public Health, Safety/Welfare

Societal Impacts:
LCA
Sustainability

Industrial Hygiene:
Carcinogens
Toxicology
Exposure Limits
Radiation Exposure
Biohazards
Half-life

Basic Safety Equipment:
Pressure-Relief Valves
Emergency Shutoffs
Fire Prevention/Control
PPE

Gas Detection and Monitoring:
O$_2$, CO, CO$_2$, CH$_4$, H$_2$S, Radon

Electrical Safety:
Electromechanical Components
Effect of Electrical Current on Human Body

Confined Space Entry/Ventilation Rates:
Confined Space Entry
Ventilation Rates

Hazard Communications:
SDS
Proper Labeling
Concentrations
Fire Ratings
Safety Equipment

Time Value of Money:
DCF Factors
NPV
Inflation

Cost Analysis:
Cost Types

Economic Analyses:
Payback Period
Cost-Benefit
Break-Even
Overhead

Uncertainty:
Exp Value and Risk

Project Selection:
Comparison of Projects
Lease/Buy/Make
Depreciation
Decision Trees

Vector Analysis:
Unit Vector
Addition of Vectors
Dot Product
Cross Product

Force Systems:
Resolution of Forces
Resultant of Forces
Moment of a Force
Transmissibility
Types of Loads

Force Couple Systems:
Couple

Equilibrium of Rigid Bodies:
Types of Supports
Static Equilibrium
Lami's Theorem

Internal Forces in Rigid Bodies:
Method of Joints
Method of Section
Machines

Area Properties:
Centroid of Basic Shapes
Centroid of a Composite Area
Area Moments of Inertia
Perpendicular Axis Theorem
Parallel Axis Theorem

Static Friction:

Free-Body Diagrams:

Weight/Mass Computations:
Conversion between Units

Particle/Rigid-Body Kinematics:
Instant. Velocity/Acc
Tangential/Normal Acc
Constant Acc
Variable Acc
Relative Motion
Projectile Motion

Linear Motion:
Particle Motion
Rigid Body Motion

Angular Motion:
Uniform Circular Motion
General Rotation of a Rigid Body
Constant Acc
Variable Acc
Instantaneous Center

Mass Moment of Inertia:
Point Mass
Rigid Body
Mass Radius of Gyration
Parallel Axis Theorem

Impulse/Momentum:
Linear and Angular Mom
Impulse-Mom Eqn
Impact
Angular Impulse and Mom
Conservation of Angular Momentum

Work-Energy and Power:
Kinetic Energy
Potential Energy
Work
Power and Efficiency
Conservation of Energy

Dynamic Friction:
Laws of Kinetic Friction
Inclined Plane Motion

Vibrations:
Free Vibrations
Torsional Vibrations

Stress Types:
Axial
Bending
Torsional
Shear
Thermal

Combined Loading:
Direct & Shear Stress
Axial & Bending Stress

Stress and Strain:
Stress
Strain
Poisson's Ratio
Elastic Constants
Factor of Safety

Shear and Moment Diagrams:
Basic Definitions
Rules and Observations
Procedure to Draw SFD/BMD
Beam- Central Point Load
Beam- Point Load Anywhere
Beam- UDL

Analysis of Beams, Trusses, Frames, and Columns:
Column Analysis
Equivalent Length

Loads and Deformations:
Elastic/Plastic Deformation
Deflection of Beams
Beam Deflection Formulae

Stress Transformation and Principal Stresses:
Principal Planes/Stresses
Mohr's Circle

Material Failure:
Creep
Fatigue

Physical:
Phase Diagrams
Lever Rule

Mechanical:
Strength
Hardness
Toughness

Chemical:
Flammability
Reactivity
Corrosion Resistance

Thermal:
Coefficient of Thermal Expansion
Thermal Conductivity

Electrical:
Conductivity
Magnetic Properties

Material Selection:
Material Selection Factors

Fluid Properties:
Common Fluid Properties
Newton's Law of Viscosity
Surface Tension/Capillarity

Dimensionless Numbers:
Dimensionless Numbers
Mach Number
Reynold's Number
Froude Number

Laminar and Turbulent Flow:

Fluid Statics:
Pascal's Law
Pressure Measurement
Hydrostatic Forces

Energy/Impulse/Momentum Eqns:
Continuity Eqn
Momentum Eqn

Pipe/Duct Flow & Friction Losses:
Losses in Pipes
Friction Factor
Noncircular Ducts

Open-Channel Flow:
Manning's Equation

Fluid Transport Systems:
Pipes in Series
Pipes in Parallel

Flow Measurement:
Pitot Tube
Venturi Meter
Weir

Turbomachinery:
Pumps
Turbines
Compressors

Ideal Gas Law:

Real Gas Law:
Van Der Waal's Equation
z factor

Electrical Fundamentals:
Coulomb's Law
Electric Field/Potential
Electric Current
Resistance
Electric Power

Current and Voltage Laws:
Kirchhoff's Current Law
Kirchhoff's Voltage Law
Ohm's Law

AC and DC Circuits:
Resistances in Series
Resistances in Parallel
AC Impedance
Average Value
RMS value

Measuring Devices:
Voltmeter
Ammeter
Wattmeter

Three-phase Power:
Motor Efficiency
Balanced Loads
Power Equation

Thermodynamic Laws:
Thermodynamic Laws
Zeroth Law
First Law
Second Law
Third Law

Thermodynamic Equilibrium:
Types of Equilibrium

Thermodynamic Properties:
Thermodynamic Prop
Ideal Gas Laws
Prop of Pure Sub
Prop of Steam

Thermodynamic Processes:
Thermodynamic Processes
Isochoric Process
Isobaric Process
Adiabatic Process
Polytropic Process
Cyclic Process

Heat Transfer:
Fourier's Law
Thermal Resistance
Newton's Law of Cooling
Types of Convection
Perfectly Black Body
Stefan-Boltzmann Law
Kirchhoff's Law of Radiation
Net Radiation Exchange

Mass and Energy Balances:
Mass Balance
Energy Balance

Property and Phase Diagrams:
P-v Diagrams
T-s Diagrams
P-h Diagrams

Combustion:
Combustion of Hydrocarbon in O$_2$
Combustion in Air
Combustion in Excess Air
Stoichiometric Air Fuel (A/F) Ratio
Incomplete Combustion

Psychrometrics:
Elements of Psychro Chart
Reading a Psychro Chart

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