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Chemical

**Analytic Geometry:**

Straight Line

Conics

Circle

Parabola

Hyperbola

Distance Formula
Logarithms
Trigonometry

**Calculus:**

Limits

Derivatives

Applications of Derivatives

Partial Derivatives

Indefinite Integration

Definite Integration

**Differential Equations:**

First Order DE

Higher Order Homogeneous

Nonhomogeneous DE

Laplace Transform

**Numerical Methods:**

Newton's Methods

Approximation

Error Propagation

Precision Limits

Taylor's Series

**Algebra:**

Matrices

Determinants

Vectors

Dot and Cross Products

Gradient

Divergence

Curl

**Accuracy/Precision/Significant Figures:**

Accuracy

Precision

Significant Figures

**Probability Distributions:**

Probability- Concepts

Binomial Distribution

Normal Distribution

t-distribution

Chi-squared Distribution

**Expected Value:**

PDF and CDF

Expected Value- Discrete

Expected Value- Continuous

**Hypothesis Testing/DOE:**

Outlier Testing

ANOVA

**Measures of Central Tendencies/Dispersions:**

Mean

Median

Mode

Standard Deviation

**Regression and Curve Fitting:**

Linear Curve Fitting

Coefficient of Correlation

**Statistical Control:**

Control Limits

**Dynamics:**

Static Friction

Laws of Kinetic Friction

Instant. Velocity & Acc

Tangential & Normal Acc

Constant Acc

Linear and Angular Momentum

**Work/Energy/Power:**

Kinetic Energy

Potential Energy

Work

Power and Efficiency

Law of Conservation of Energy

**Electrical Fundamentals:**

Coulomb's Law

Electric Current

Resistance

Electric Power

Kirchhoff's Law

Resistances in Series

Resistances in Parallel

**Material Properties:**

Chemical

Mechanical

Electrical

Thermal

**Material Types and Compatibilities:**

Ferrous Metals

Non Ferrous Metals

**Corrosion:**

Terminology

Mechanism

EMF Series

Galvanic Series

Corrosion Control

**Engineered Materials:**

Elastomers/Fibres

Plastics

Ceramics

Glass

**Inorganic Chemistry:**

Molarity/Normality

Molality

Acids and Bases

Redox Reactions

Valence

Solubility Product

pH and pK

Electrochemistry

Periodic Table

**Organic Chemistry:**

Nomenclature

Structure

Balanced Equations

Reactions

Synthesis

**Analytical Chemistry:**

Wet Chemistry

Instrumental Chemistry

**Biochemistry/Microbiology/Molecular Biologys:**

Organization and Function of the Cell

Krebs, Glycolysis, Calvin Cycles

Enzymes and Protein Chemistry

Genetics

Protein Synthesis

Translation

Transcription

**Bioprocessing:**

Fermentation

Biological Treatment Systems

Aerobic Processes

Anaerobic Processes

Nutrient Removal

**Fluid Properties:**

Common Fluid Properties

Newton's Law of Viscosity

Surface Tension/Capillarity

**Dimensionless Numbers:**

Mach Number

Reynold's Number

Froude Number

**Mechanical Energy Balance:**

Pressure/Velocity/Elevation Head

Frictional Head Losses

Major and Minor Losses

**Bernoulli Equation:**

**Laminar and Turbulent Flow:**

**Flow Measurement:**

Pitot Tube

Venturi Meter

Weir

**Turbomachinery:**

Pumps

NPSH and Cavitation

Turbines

Compressors

**Compressible Flow and Non-Newtonian Fluids:**

Mach Number

Isentropic Flow Relationships

**Thermodynamic Properties:**

Specific Heats

Internal Energy

Enthalpy

Entropy

Gibb's Free Energy

Helmholtz Free Energy

**Properties and Phase Diagrams:**

P-v Diagrams

T-s Diagrams

P-h Diagrams

**Thermodynamic Laws:**

Zeroth Law

First Law

Second Law

Third Law

**Thermodynamic Processes:**

Isochoric Process

Isobaric Process

Adiabatic Process

Polytropic Process

Cyclic Process

**Cyclic Processes and Efficiencies:**

**Phase Equilibrium:**

**Chemical Equilibrium:**

**Heats of Reaction and Mixing:**

**Steady-State Mass Balance:**

**Unsteady-State Mass Balance:**

**Steady-State Energy Balance:**

**Unsteady-State Energy Balance:**

**Recycle/Bypass Processes:**

**Reactive Systems:**

**Conduction:**

Fourier's Law

Thermal Resistance

**Convection:**

Newton's Law of Cooling

Types of Convection

Critical Radius of Insulation

**Radiation:**

Perfectly Black Body

Stefan-Boltzmann Law

Kirchhoff's Law of Radiation

Shape Factors

Net Energy Exchange

**Heat-Transfer Coefficients:**

**Heat-Transfer Equipment/Operation/Design:**

LMTD

Heat Exchanger Effectiveness

NTU

Effectiveness-NTU Relation

**Molecular Diffusion:**

Steady and Unsteady State

Physical Property Estimation

**Convective Mass Transfer:**

Mass-Transfer Coefficient

Eddy Diffusion

**Separation Systems:**

Distillation

Absorption

Extraction

Membrane Processes

Adsorption

**Equilibrium Stage Methods:**

Graphical Methods

McCabe-Thiele

Efficiency

**Continuous Contact Methods:**

Number of Transfer Units

Height Equivalent to a Theoretical Plate

Height of Transfer Unit

Number of Theoretical Plates

**Humidification, Drying, and Evaporation:**

**Particle Properties:**

Surface and Bulk Forces

Particle Size Distribution

**Processing:**

Crushing

Grinding

Crystallization

**Transportation and Storage:**

Belts

Pneumatic

Slurries

Tanks

Hoppers

**Reaction Rates and Order:**

Reaction Rate

Reaction Order

**Rate Constant:**

Arrhenius Function

**Conversion, Yield, and Selectivity:**

Conversion

Yield

Selectivity

**Type of Reactions:**

Series

Parallel

Forward

Reverse

Homogeneous

Heterogeneous

Biological

**Reactor Types:**

Batch

Semibatch

Cont Stirred Tank

Plug Flow

Gas Phase

Liquid Phase

**Catalysis:**

Catalysis Mechanisms

Biocatalysis

Physical Prop

**Time Value of Money:**

DCF Factors

NPV

Inflation

**Economic Analyses:**

Payback Period

Cost-Benefit

Break-Even

Overhead

**Uncertainty:**

Expected Value and Risk

**Project Selection:**

Comparison of Projects

Lease vs Buy vs Make

Depreciation

**PFD/PID:**

PFD

P & ID

**Equipment Selection:**

Sizing of Equipment

Scale-up of Equipment

**Equipment and Facilities Cost Estimation:**

Cost Indices

Equip Costing

**Process Design and Optimization:**

Sustainability

Efficiency

Green Engg

Inherently Safer Design

Evaluation of Specifications

Product Design

**Design Standards:**

Regulatory

ASTM

ISO

OSHA

**Dynamics:**

First/Sec Order Processes

Gains and Time Constants

Stability

Damping

Transfer Functions

**Control Strategies:**

Feedback

Feedforward

Cascade

Ratio

PID Tuning

Alarms

Other Safety Equip

**Control Loop Design/Hardware:**

Matching Variables

Sensors

Control Valves

Conceptual Process Control

DCS Programming

PLC Programming

Interlocks

Hazardous Properties of Materials

**Hazardous Properties of Materials:**

Corrosivity

Flammability

Toxicity

Reactivity

Handling

Storage

Transportation

**Industrial Hygiene:**

Carcinogens

Toxicology

Exposure Limits

Radiation Exposure

Biohazards

Half-life

Personal Protective Equipment

Ergonomics

**Process Safety/Risk Assessment/Hazard Analysis:**

Layer of Protection Analysis

HAZOP Studies

Fault and Event Tree Analysis

Dispersion Modeling

**Overpressure/Underpressure Protection:**

Relief

Redundant Control

Inherently Safe

**Waste Minimization/Waste Treatment/Regulation:**

Air

Water

Solids

RCRA

CWA

Other EPA

OSHA

**Reactivity Hazards:**

Inerting

Runaway Reactions

Compatibility

**Codes of Ethics:**

NCEES Model Law
Technical Societies
Ethical/Legal Considerations

**Agreements/Contracts:**

Difference between Agreements and Contracts

Contract Law

**Public Health/Safety/Welfare:**

Obligation to Society

**Intellectual Property:**

Intellectual Property Concepts

Patents/Copyrights

Trademarks

Trade Secrets

Stay tuned for upcoming lecture series.