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Other Discipline

**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

**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

Stay tuned for upcoming lecture series.