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FE Module: Environmental

This course was created as a supplement to help students pass the FE Environmental. Concepts will be covered for each subject and you’ll have a guided step-by-step solution on how to solve each problem. Videos are available on demand, allowing you to study from any electronic device with access to the internet. (Updated June 2021)

Topics covered:

Mathematics
Probability & Statistics
Ethics
Engineering Econ.
Materials Science
Fluid Mechanics
Water Resources and Environmental Engineering

Course Content

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Welcome To The Genie Prep Community!

Welcome To The FE Module: Environmental 1 Lesson Sample Section

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Special Welcome from Genie Prep

Before you begin studying… 5 Lessons

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Step 1: Study Habits

Step 2: Study Techniques

Step 3: Study Material

Before You Start, Join the Facebook Group!

Mathematics

Algebra 41 Lessons

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Intro To Problem 1 (Determine the Roots)

Problem 1 (Determine the Roots)

Intro To Problem 2 (General Form Equation)

Problem 2 (General Form Equation)

Intro To Problem 3 (Equation of the Line)

Problem 3 (Equation of the Line)

Intro To Problem 4 (Equation of the Line)

Problem 4 (Equation of the Line)

Intro To Problem 5 (Determine Point of Intersection)

Problem 5 (Determine Point of Intersection)

Intro To Problem 6 ( Determine Equation of a Circle)

Problem 6 ( Determine Equation of a Circle)

Intro To Problem 7 (Determine the Centre and Radius of Circle)

Problem 7 (Determine the Centre and Radius of Circle)

Intro To Problem 8 (Determine Standard form of the Equation)

Problem 8 (Determine Standard form of the Equation)

Intro To Problem 9 (Determine Equation of the tangent line)

Problem 9 (Determine Equation of the tangent line)

Intro To Problem 10 (Determine Equation of the Circle)

Problem 10 (Determine Equation of the Circle)

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Derivatives 40 Lessons

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Derivative Formulas

Intro To Problem 1 (Determine function using Product Rule)

Problem 1 (Determine function using Product Rule)

Intro To Problem 2 (Determine function using Quotient Rule)

Problem 2 (Determine function using Quotient Rule)

Intro To Problem 3 (Determine function using Quotient Rule)

Problem 3 (Determine function using Quotient Rule)

Intro To Problem 4 (Determine function using Product Rule)

Problem 4 (Determine function using Product Rule)

Problem 5 (Determine Cosine function)

Intro To Problem 6 (Determine Trigonometric Function)

Problem 6 (Determine Trigonometric Function)

Intro To Problem 7 (Determine Tangent Function)

Problem 7 (Determine Tangent Function)

Problem 8 (Determine Sine Function)

Intro To Problem 9 (Determine Logarithmic Function)

Problem 9 (Determine Logarithmic Function)

Intro To Problem 10 (Determine the Limit of the Function)

Problem 10 (Determine the Limit of the Function)

Intro To Problem 11 (Determine the Limit of the Function)

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Integrals 36 Lessons

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Intro To Problem 1 (Determine Indefinite Integral)

Problem 1 (Determine Indefinite Integral)

Intro To Problem 2 (Determine function using Indefinite Integral)

Problem 2 (Determine function using Indefinite Integral)

Intro To Problem 3 (Determine Indefinite Integral using substitution method)

Problem 3 (Determine Indefinite Integral using substitution method)

Intro To Problem 4 (Determine Indefinite Integral using substitution method)

Problem 4 (Determine Indefinite Integral using substitution method)

Intro To Problem 5 (Determine the Area of region bounded)

Problem 5 (Determine the Area of region bounded)

Intro To Problem 6 (Determine the Area bounded by Lines)

Problem 6 (Determine the Area bounded by Lines)

Intro To Problem 7 (Determine Area using Trapezoidal Rule)

Problem 7 (Determine Area using Trapezoidal Rule)

Intro To Problem 8 (Determine Area using Trapezoidal Rule)

Problem 8 (Determine Area using Trapezoidal Rule)

Intro To Problem 9 (Determine Area using Simpson’s Rule)

Problem 9 (Determine Area using Simpson’s Rule)

Intro To Problem 10 (Determine Displacement using Simpson’s Rule)

Problem 10 (Determine Displacement using Simpson’s Rule)

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Polar and Cartesian Coordinate System 14 Lessons

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Review Polar Coordinate System

Problem 1 (Plot the Polar Coordinates)

Conversion of Polar and Cartesian Systems

Intro To Problem 2 (Determine the Cartesian Coordinate)

Problem 2 (Determine the Cartesian Coordinate)

Intro To Problem 3 (Determine the Cartesian Coordinate)

Problem 3 (Determine the Cartesian Coordinate)

Problem 4 (Determine the Cartesian Coordinate)

Intro To Problem 5 (Determine Polar Coordinate where r>0)

Problem 5 (Determine Polar Coordinate where r>0)

Intro To Problem 6 (Determine Polar Coordinate where r<0)

Problem 6 (Determine Polar Coordinate where r<0)

Intro To Problem 7 (Determine Polar Coordinate where r>0)

Problem 7 (Determine Polar Coordinate where r>0)

Cross and Dot Product 20 Lessons

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Review of Vectors

Review of Unit Vectors

Intro To Problem 1 (Determine the Vector)

Problem 1 (Determine the Vector)

Intro To Problem 2 (Determine the Unit Vector)

Problem 2 (Determine the Unit Vector)

Intro To Problem 3 (Determine the Vector with Same direction)

Problem 3 (Determine the Vector with Same direction)

Review of Dot Product

Review of Cross Product

Intro To Problem 4 (Determine the Greatest Dot Product)

Problem 4 (Determine the Greatest Dot Product)

Intro To Problem 5 (Determine Vectors Lie in the Same Plane)

Problem 5 (Determine Vectors Lie in the Same Plane)

Intro To Problem 6 (Determine Angle Between Two Vectors)

Problem 6 (Determine Angle Between Two Vectors)

Intro To Problem 7 (Determine the Unit Vector)

Problem 7 (Determine the Unit Vector)

Intro To Problem 8 (Determine the Value of X)

Problem 8 (Determine the Value of X)

Probability and Statistics

Probability and Statistics 52 Lessons

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Intro To Problem 1 (Determine the Probability of Jack)

Problem 1 (Determine the Probability of Jack)

Intro To Problem 2 (Probability that it’s Queen of Diamond)

Problem 2 (Probability that it’s Queen of Diamond)

Intro To Problem 3 (Probability that it’s Six of Spade/Ace of Heart)

Problem 3 (Probability that it’s Six of Spade/Ace of Heart)

Intro To Problem 4 (Probability that it’s a Club)

Problem 4 (Probability that it’s a Club)

Intro To Problem 5 (Probability that it’s any Suit except Spade)

Problem 5 (Probability that it’s any Suit except Spade)

Intro To Problem 6 (Probability that it’s Two or Diamond)

Problem 6 (Probability that it’s Two or Diamond)

Intro To Problem 7 (Probability that it’s Neither King/Club)

Problem 7 (Probability that it’s Neither King/Club)

Intro To Problem 8 (Probability that it’s Either Yellow/Brown)

Problem 8 (Probability that it’s Either Yellow/Brown)

Intro To Problem 9 (Probability that Sum< 10)

Problem 9 (Probability that Sum< 10)

Intro To Problem 10 (Probability of getting 3H/4H)

Problem 10 (Probability of getting 3H/4H)

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Ethics

Ethics 8 Lessons

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Problem 1 (Determine which is Ethical)

Problem 2 (Determine Options that Apply for a Engineer)

Problem 3 (Determine Options that Apply for a Purchase)

Problem 4 (Determine Options that Apply for Upcoming Mall)

Problem 5 (Determine the Company for Bid)

Problem 6 (Determine Sustainability)

Problem 7 (Determine Circumstances to Seal the Plans)

Engineering Economics

Engineering Economics 64 Lessons

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Intro To Problem 1 (Least Expensive Process)

Problem 1 (Least Expensive Process)

Intro To Problem 2 (Depreciation Using Straight Line Method)

Problem 2 (Depreciation Using Straight Line Method)

Intro To Problem 3 (Book Value Using MACRS)

Problem 3 (Book Value Using MACRS)

Intro To Problem 4 (Expected Net Cash Flow)

Problem 4 (Expected Net Cash Flow)

Intro To Problem 5 (Total Money in the Account)

Problem 5 (Total Money in the Account)

Intro To Problem 6 (Determine Company needs to pay)

Problem 6 (Determine Company needs to pay)

Intro To Problem 7 (Determine how much the Company Account will have)

Problem 7 (Determine how much the Company Account will have)

Review Interest

Review Effective Rate

Intro To Problem 8 (Effective Rate)

Problem 8 (Effective Rate)

Intro To Problem 9 (Lowest Effective Rate)

Problem 9 (Lowest Effective Rate)

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Materials Science

Materials 85 Lessons

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Intro To Materials

Classification of Materials

Crystalline and Non-Crystalline Materials

Glass Transition

Intro to Problem 1 (Determine Diffusion Coefficient)

Problem 1 (Determine Diffusion Coefficient)

Mechanical Properties

Stress and Strain Diagram

Intro to Problem 2 (Identify Proportionality Limit/Elastic Limit)

Problem 2 (Identify Proportionality Limit/Elastic Limit)

Problem 3 Part 1 (Determine Brittle Material)

Problem 3 Part 2 (Determine Brittle Material)

Problem 4 ( Stress & Strain Diagram)

Intro To Problem 5 (Elastic Modulus for Mild Steel)

Problem 5 (Elastic Modulus for Mild Steel)

Intro To Problem 6 (Yield Strength @ a Strain Offset)

Problem 6 (Yield Strength @ a Strain Offset)

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Fluid Mechanics

Fluid Mechanics 71 Lessons

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Intro To Problem 1 (Viscosity of the Fluid)

Problem 1 (Viscosity of the Fluid)

Intro To Problem 2 (Height of the Column of Ethyl Alcohol)

Problem 2 (Height of the Column of Ethyl Alcohol)

Intro To Problem 3 (Manometer Reading Height For Closed Tank)

Problem 3 (Manometer Reading Height For Closed Tank)

Intro To Problem 4 (Pressure in Pipe B)

Problem 4 (Pressure in Pipe B)

Intro To Problem 5 (Pressure @ bottom of Closed Tank)

Problem 5 (Pressure @ bottom of Closed Tank)

Intro To Problem 6 (Magnitude of Resultant Force for Rectangular Gate)

Problem 6 (Magnitude of Resultant Force for Rectangular Gate)

Intro To Problem 7 (Force of Water on Rectangular Gate)

Problem 7 (Force of Water on Rectangular Gate)

Intro To Problem 8 (Tension in Cable)

Problem 8 (Tension in Cable)

Intro To Problem 9 (Magnitude of Resultant Fluid Force)

Problem 9 (Magnitude of Resultant Fluid Force)

Intro To Problem 10 (Energy Grade Line)

Problem 10 (Energy Grade Line)

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Water Resources and Environmental Engineering

Review Fluid Mechanics 13 Lessons

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Review of Concepts

Intro to Problem 1 (Elevation of the Water)

Problem 1 (Elevation of the Water)

Intro to Problem 2 (Flow Rate in the Pipe)

Problem 2 (Flow Rate in the Pipe)

Intro to Problem 3 (Velocity in the Pipe)

Problem 3 (Velocity in the Pipe)

Intro to Problem 4 (Head Loss in the Pipe)

Problem 4 (Head Loss in the Pipe)

Intro to Problem 5 (Flow in Parallel Pipes)

Problem 5 (Flow in Parallel Pipes)

Intro to Problem 6 (Flow of Water)

Problem 6 (Flow of Water)

Hydrology 13 Lessons

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Review of Concepts

Intro to Problem 1 (Runoff)

Problem 1 (Runoff)

Intro to Problem 2 (Discharge Rate)

Problem 2 (Discharge Rate)

Intro To Problem 3 (Determine Evaporation using Hydrologic Budget Eqn)

Problem 3 (Determine Evaporation using Hydrologic Budget Eqn)

Intro To Problem 4 (Determine Hydraulic Conductivity using Darcy’s Law)

Problem 4 (Determine Hydraulic Conductivity using Darcy’s Law)

Intro to Problem 5 (Unconfined Aquifer)

Problem 5 (Unconfined Aquifer)

Intro to Problem 6 (Confined Aquifer)

Problem 6 (Confined Aquifer)

Hydraulics 28 Lessons

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Intro to Problem 1 (Head Loss)

Problem 1 (Head Loss)

Intro to Problem 2 (Flow Rate)

Problem 2 (Flow Rate)

Intro to Problem 3 (Depth to Max Flow)

Problem 3 (Depth to Max Flow)

Intro to Problem 4 (Determine Velocity using Manning’s Equation)

Problem 4 (Determine Velocity using Manning’s Equation)

Intro to Problem 5 (Minimum Energy)

Problem 5 (Minimum Energy)

Intro to Problem 6 (Type of Flow)

Problem 6 (Type of Flow)

Intro to Problem 7 (Hydraulic Jump)

Problem 7 (Hydraulic Jump)

Intro to Problem 8 (Rectangular Weir)

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Stormwater , Collection Systems and Water Distribution 11 Lessons

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Stormwater Management

Intro to Problem 1 (Detention Storage)

Problem 1 (Detention Storage)

Intro to Problem 2 (Detention Time)

Problem 2 (Detention Time)

Intro to Problem 3 (SWM)

Problem 3 (SWM)

Collection Systems

Water Distribution Systems

Intro to Problem 4 (Fire Hydrant)

Problem 4 (Fire Hydrant)

Environmental 61 Lessons

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Review of Chemistry

Water Treatment

Intro to Problem 1 (Chemical Characteristics)

Problem 1 (Chemical Characteristics)

Intro to Problem 2 (Turbidity)

Problem 2 (Turbidity)

Intro to Problem 3 (Hardness)

Problem 3 (Hardness)

Intro to Problem 4 (Water Source)

Problem 4 (Water Source)

Intro to Problem 5 (Solid Particle)

Problem 5 (Solid Particle)

Intro to Problem 6 (Detention Time)

Problem 6 (Detention Time)

Intro to Problem 7 (Volume for Backwash)

Problem 7 (Volume for Backwash)

Intro to Problem 8 (Total Hardness)

Problem 8 (Total Hardness)

Water Pollution

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References

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Course Includes

18 Sections
563 Lessons