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Chemical

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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:
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

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