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Mechanical

**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

**Algorithm and Logic Development:**

Algorithms

Flowcharts

Pseudocode

**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

**Codes of Ethics:**

NCEES Model Law

Professional and Technical Societies

Ethical and legal Considerations

**Public Health, Safety, and Welfare:**

Issues arising from safety of public due to engineering decision-making

**Intellectual Property:**

Copyright

Trade Secrets

Patents

Trademarks

**Societal Considerations:**

Economic, sustainability, environmental

Life-Cycle Analysis

**Time Value of Money:**

DCF Factors

NPV

Inflation

**Cost Types and Breakdowns:**

Cost Types

**Economic Analyses:**

Cost-benefit Analysis

Breakeven Analysis

Minimum Cost

Overhead Life Cycle

**Electrical Fundamentals:**

Charge, Current, Voltage, Resistance

Power, Energy

Magnetic Flux

**DC Circuit Analysis:**

Kirchhoff's Laws

Ohm's law

Series and Parallel Resistances

**AC Circuit Analysis:**

AC Impedance

Average Value

RMS Value

**Motors and Generators:**

AC Motors

DC Motors

**Resultants of Force Systems:**

Resolution of Forces

Resultant of Forces

Moment of a Force

Couple

**Concurrent Force Systems:**

Types of Loads

FBD

**Equilibrium of Rigid Bodies:**

Types of Supports

Static Equilibrium

Lami's Theorem

Virtual Work

**Frames and Trusses:**

Method of Joints

Method of Section

**Centroids and Moments of Inertia:**

Centroid of Basic Shapes

Centroid of a Composite Area

Area Moments of inertia

Perpendicular Axis Theorem

Parallel Axis Theorem

**Static Friction:**

**Kinematics of Particles:**

Instant. Velocity & Acc

Tangential & Normal Acc

Constant Acc

Variable Acc

Relative Motion

Uniform Circular Motion

Projectile Motion

**Kinetic Friction:**

Laws of Kinetic Friction

Inclined Plane Motion

**Newton's Second Law for Particles:**

One-Dimensional Motion of a Particle

**Work-Energy of Particles:**

Kinetic Energy

Potential Energy

Work

Power and Efficiency

Conservation of Energy

**Impulse-Momentum of Particles:**

Linear and Angular Momentum

Impulse-Momentum Equation

Impact

**Kinematics of Rigid Bodies:**

General Rotation of a Rigid Body

Rigid Body Rotation- Constant Acc

Rigid Body Rotation- Variable Acc

Instantaneous Center of Rotation

Kennedy's Rule

**Kinematics of Mechanisms:**

Terminology of Mechanisms

**Newton's 2$^{\mathrm{nd}}$ Law- Rigid Bodies:**

One-D Motion of a Rigid Body

Moment of Inertia of a Point Mass

Mass MI of a Rigid Body

Mass Radius of Gyration

Parallel Axis Theorem- Dynamics

**Work-Energy of Rigid Bodies:**

Kinetic Energy of a Rigid Body

**Impulse-Momentum of Rigid Bodies:**

Angular Impulse and Mom

Conservation of Angular Mom

**Free and Forced Vibrations:**

Free Vibrations

Torsional Vibrations

Forced Vibrations

**SFD/BMD:**

Definitions

Rules & Observations

SFD/BMD Procedure

Beam- Central Point Load

Beam- Point Load Anywhere

Beam- UDL

**Mohr's Circle:**

Principal Planes & Stresses

Mohr's Circle

**Axial Loads:**

Stress

Strain

Poisson's Ratio

Elastic Constants

Factor of Safety

**Bending:**

Bending Equation

Neutral Axis

Modulus of Section

**Torsion:**

Torsional Shear Stress

**Shear:**

Shear Stresses in Beams

**Thermal Stress:**

Thermal Expansion of Metals

**Combined Loading:**

Direct & Shear Stress

Axial & Bending Stresses

**Deformations:**

Elastic/Plastic Deformation

Deflection of Beams

Beam Deflection Formulae

**Column Buckling:**

Column Analysis

Equivalent Length

**Statically Indeterminate Systems:**

Static Indeterminacy

**Properties:**

Mechanical

Electrical

Thermal

**Stress-strain Diagrams:**

Stress-Strain Diagram

True Vs. Engg Stress-Strain Curve

**Ferrous Metals:**

Typical Ferrous Metals

**Nonferrous Metals:**

Advantages

Non Ferrous Metals

**Engineered Materials:**

Elastomers/Fibres

Plastics

Ceramics

Glass

**Manufacturing Processes:**

Classification

Hot Processes

Cold Processes

Powder Metallurgy

CNC

Non-Traditional Machining

**Phase Diag/Transform/Heat Treating:**

Phase Diagrams

Critical Point

Triple Point

Iron-Iron Carbide Diagram

Important Points

Allotropes of iron

Lever Rule

Heat Treatment

**Materials Selection:**

**Corrosion:**

Terminology

Mechanism

EMF Series

Galvanic Series

Corrosion Control

**Failure Mechanisms:**

Creep

Fatigue

Crack Propagation

**Fluid Properties:**

Common Fluid Properties

Newton's Law of Viscosity

Surface Tension/Capillarity

**Fluid Statics:**

Pascal's Law

Pressure Measurement

Hydrostatic Forces

Archimedes Principle/Buoyancy

**Energy/Impulse/Momentum:**

Continuity Equation

Momentum Equation

**Internal Flow:**

Reynold's Number

Losses in Pipes

Pipes in Series

Pipes in Parallel

Friction Factor

Noncircular Ducts

**External Flow:**

Characteristics

**Compressible Flow:**

Mach Number

Isentropic Flow Relationships

**Power and Efficiency:**

Power and Efficiency Definitions

**Performance Curves:**

Pump Performance Curves

**Scaling Laws:**

Pumps

NPSH and Cavitation

Turbines

Compressors

**Prop of Ideal Gases/Pure Sub:**

Thermodynamic Prop

Ideal Gas Laws

Prop of Pure Sub

Prop of Steam

**Energy Transfers:**

Introduction to Energy Transfer

Open and Closed Systems

Steady Flow Energy Equation

**Laws of Thermodynamics:**

Introduction

Zeroth Law

First Law

Second Law

Third Law

**Processes:**

Thermodynamic Processes

Isochoric Process

Isobaric Process

Adiabatic Process

Polytropic Process

Cyclic Process

**Performance of Components:**

Coefficient of Performance

**Power Cycles:**

Carnot Cycle

Rankine Cycle

Otto Cycle

**Refrigeration/Heat Pump Cycles:**

Stages

**Nonreacting Mixtures of Gases:**

Mass and Mole Fractions

Dalton's Law

**Psychrometrics:**

Elements of Psychro Chart

Reading a Psychro Chart

HVAC Processes

**Combustion:**

Combustion of Hydrocarbon in O_{2}

Combustion in Air

Stoichiometric Air Fuel Ratio

Incomplete Combustion

Enthalpy of Formation

**Conduction:**

Fourier's Law

Thermal Resistance

**Convection:**

Newton's Law of Cooling

Types of Convection

Critical Radius of Insulation

Dimensionless Numbers

**Radiation:**

Perfectly Black Body

Stefan-Boltzmann Law

Kirchhoff's Law of Radiation

Shape Factors

Net Radiation Exchange

**Transient Processes:**

Lumped System Analysis

Fins

**Heat Exchangers:**

LMTD

Heat Exchanger Effectiveness

NTU

Effectiveness-NTU Relation

**Sensors/Transducers:**

LVDT

RTD

Thermocouple

Strain Gage

Wheatstone Bridge

Piezoelectric

Pressure Sensors

pH Sensor

**Control Systems:**

General Layout

Reduction Techniques

**Dynamic System Response:**

Terminology

First Order System

Second Order System

Steady State Errors

**Measurement Uncertainty:**

Kline-McClintock Eqn

**Stress Analysis:**

Stress Types

Strain-Design

Factor of Safety

**Failure Theories/Analysis:**

Brittle Material

Ductile Material

Variable Loading

**Deformation/Stiffness:**

Stiffness

Elastic Moduli

Elastic/Plastic Deformation

**Springs:**

Types of Springs

Terminology

Types

Stresses

**Pressure Vessels/Piping:**

Thin Cylinders

Thick Cylinders

**Bearings:**

Types of Bearings

Basic Load Rating

Equivalent Radial Load

**Power Screws:**

Terminology

Calculations

**Power Transmission:**

Shaft and Axles

Gearing

Gear Trains

Loading on Gears

**Joining Methods:**

Flanged Joints

Riveted Joints

Threaded Joints

**Manufacturability:**

Terminology

Types of Fits

Feature Control Frame

Basis of Fits

Limit Gauges

**Quality/Reliability:**

Reliability of an Assembly

**Components:**

Hydraulic System

Pneumatic System

Valves

Electromech Comp

**Engg Drawing/GD&T:**

Interpretation

GD & T

Stay tuned for upcoming lecture series.