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Start instantly and learn at your own schedule.

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
1 hour to complete

This section of the course will provide you with an overview of the course, an outline of the topics covered, as well as instructor comments about the Fundamentals of Engineering Exam and reference handbook.

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3 videos (Total 20 min), 3 readings
3 videos
Reference Handbook13m
Course Syllabus10m
Consent Form10m
Get More from Georgia Tech10m
Week
2
3 hours to complete

Mathematics

This module reviews the basic principles of mathematics covered in the FE Exam. We first review the equations and characteristics of straight lines, then classify polynomial equations, define quadric surfaces and conics, and trigonometric identities and areas. In algebra we define complex numbers and logarithms, and show how to manipulate matrices and determinants. Basic properties of vectors with their manipulations and identities are presented. The discussion of series includes arithmetic and geometric progressions and Taylor and Maclaurin series. Calculus begins with definitions of derivatives and gives some standard forms and computation of critical points of curves, then presents grad, del and curl operators on scalar and vector functions. Differential equations are calcified and to methods to solve linear, homogenous equations are presented. Fourier series and transforms are defined along with standard forms, and finally Laplace transforms and their inverse are discussed. In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 4.5 hours | Difficulty Level: Medium

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15 videos (Total 123 min), 2 readings, 1 quiz
15 videos
Analytic Geometry and Trigonometry: Polynomials and Conics9m
Analytic and Geometry and Trigonometry: Trigonometry7m
Algebra and Linear Algebra: Complex numbers and logarithms5m
Algebra and Linear Algebra: Matrices and determinants7m
Vectors: Basic Definitions and operations13m
Vectors: Examples8m
Series: Arithmetic and geometric progressions 10m
Calculus: Derivatives and curvature10m
Calculus: Integration5m
DifferentialEq: Classification6m
DifferentialEq: Solutions7m
DifferentialEq: Fourier series7m
DifferentialEq: Laplace7m
Learning Objectives10m
1 practice exercise
Mathematics Supplemental Questions34m
Week
3
2 hours to complete

Probability and Statistics

This module reviews the basic principles of probability and statistics covered in the FE Exam. We first review some basic parameters and definitions in statistics, such as mean and dispersion properties followed by computation of permutations and combinations. We then give the definitions of probability and the laws governing it and apply Bayes theorem. We study probability distributions and cumulative functions, and learn how to compute an expected value. Particular probability distributions covered are the binomial distribution, applied to discrete binary events, and the normal, or Gaussian, distribution. We show the meaning of confidence levels and intervals and how to use and apply them. We define and apply the central limit theorem to sampling problems and brieflyt- and c2. We define hypothesis testing and show how to apply it to random data. Finally, we show how to apply linear regression estimates to data and estimate the degree of fit including correlation coefficients and variances.In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions. Time: Approximately 3 hours | Difficulty Level: Medium

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13 videos (Total 91 min), 1 reading, 1 quiz
13 videos
Permutation and Combinations8m
Probability: Laws and Examples7m
Probability: Bayes Theorem4m
Probability Distributions: Density Functions8m
Probability Distributions: Expected Values3m
Probability Distributions:Binomial Distribution7m
Probability Distributions:Normal Distribution6m
Probability Distributions:Central Limit Theorem5m
Probability Distributions:Other Distributions1m
Confidence Levels6m
Hypothesis Testing7m
Linear Regression13m
Learning Objectives10m
1 practice exercise
Probability and Statistics Supplemental Questions28m
Week
4
3 hours to complete

Statics

This module reviews the principles of statics: Forces and moments on rigid bodies that are in equilibrium. We first discuss Newton’s laws and basic concepts of what is a force, vectors, and the dimensions and units involved. Then we consider systems of forces and how to compute their resultants. We discuss the main characteristics of vectors and how to manipulate them. Then the meaning and computation of moments and couples. We discuss the concept of equilibrium of a rigid body and the categories of equilibrium in two dimensions. We show how to draw a meaningful free body diagram with different types of supports. Then how to analyze pulleys and compute static friction forces and solve problems involving friction. The concept and major characteristics of trusses are discussed, especially simple trusses, and we show how to analyze them by the method of joints and the method of sections. Finally, we analyze the geometrical properties of lines, areas, and volumes that are important in statics and mechanics of materials. These are moments of inertia, centroids, and polar moments of inertia of simple and composite objects. In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 3 hours | Difficulty Level: Medium

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9 videos (Total 150 min), 1 reading, 1 quiz
9 videos
Basic Concepts Continued13m
Moments and Couples16m
Equilibrium22m
Equilibrium Examples30m
Trusses15m
Trusses Method of Sections12m
Centroids and Moments of Inertia18m
Centroids and Moments of Inertia Continued10m
Statics10m
1 practice exercise
Statics Supplemental Questions30m
Week
5
4 hours to complete

Mechanics of Materials

This module reviews the principles of the mechanics of deformable bodies. We first review the basic concepts of equilibrium and stresses and strains in prismatic bars under axial loading. Then we discuss the major mechanical properties of common engineering materials, particularly the diagrams for normal stress and strain leading to Hooke’s Law, and their relation to lateral strain through Poisson’s ratio. Shear stresses and their relation to shear strains are then presented. We then analyze in detail deformations and stresses in axially loaded members. This includes uniform and nonuniform loading for statically determinate and indeterminate structures. Thermal effects are then considered: expansion and contraction under temperature changes and the stresses that may develop both with and without prestresses. Stresses on inclined planes under axial loadings and the resulting maximum and minimum normal and shear stresses that result are then discussed. Torsion, the twisting of circular rods and shafts by applied torques is then analyzed. We show how to calculate the angle of twist and shear stress as functions of rod properties and shape under uniform and nonuniform torsion. Applications to power transmission by rotating shafts are presented. We then discuss how shear forces and bending moments arise in beams subject to various loading types and how to calculate them. This is then generalized to local forms of the equilibrium equations leading to rules for drawing shear force and bending moment diagrams. Finally, we compute bending stresses in beams. Strains due to bending and their relation to curvature are first discussed. This is used to compute the bending stresses and their relation to the applied bending moment and beam material and cross sectional properties. This includes a review of computation of centroids and moments of inertia of various areal shapes. We complete this module with a discussion how shear stresses arise in beams subject to nonuniform bending and how to compute them. In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions. Time: Approximately 4 hours | Difficulty Level: Medium

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14 videos (Total 188 min), 2 readings, 1 quiz
14 videos
Stresses and Strains: Mechanical Properties 13m
Stresses and Strains: Shear Stress 13m
Torsion: Circular Bars in Pure Torsion19m
Torsion: Nonuniform Torsion and Power 16m
Shear Force and Bending Moments: Introduction to Bending of Beams17m
Shear Force and Bending Moments: Shear force and Bending Moment Diagrams 18m
Stresses in Beams: Strains in Pure and Nonuniform Bending12m
Stresses in Beams: Strains in Pure and Nonuniform Bending (continued)4m
Stresses in Beams: Stresses, Moment-Curvature Equation, and Geometric Properties10m
Stresses in Beams: Digression (Centroids and Moments of Areas)4m
Learning Objectives10m
1 practice exercise
Mechanics of Materials Supplemental Questions38m
Week
6
4 hours to complete

Fluid Mechanics

This module reviews the basic principles of fluid mechanics particularly the topics covered in the FE Exam. It first discusses what a fluid is and how it is distinguished from a solid, basic characteristics of liquids and gases, and concepts of normal and shear forces and stresses. The major fluid properties are then discussed. Next fluid statics are addressed: pressure variation in homogeneous and stratified fluids and application to manometers; forces on submerged plane surfaces and buoyancy forces on fully and partially submerged objects.Flowing fluids are then covered. This includes the equations for conservation of mass (the continuity equation) and energy (the Bernoulli equation). These are then applied to velocity and flow measuring devices: the Pitot tube, and Venturi and orifice meters.The final topic is similitude and dimensional analysis. This includes concepts of fundamental dimensions and dimensional homogeneity, the Buckingham Pi theorem of dimensional analysis, and the conditions for complete similitude between a full-scale prototype flow situation and a small scale model.In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 6 hours | Difficulty Level: Medium

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19 videos (Total 190 min), 1 reading, 1 quiz
19 videos
Fluid Properties-Density and Pressure10m
Fluid Properties-Stresses Viscosity15m
Fluid Properties-Surface tension10m
Fluid Properties-Units and other properties4m
Fluid Statics- Introduction and Pressure Variation12m
Fluid Statics-Application to manometers and barometers14m
Fluid Statics-Forces on submerged plane surfaces10m
Fluid Statics-Forces on submerged plane surfaces continued9m
Fluid Statics-Buoyancy and stability9m
Continuity and Energy Equations: Continuity and mass conservation7m
Continuity and Energy Equations: Energy equation9m
Continuity and Energy Equations: Energy equation examples9m
Flow Measurement-Pilot tubes10m
Flow Measurement-Venturi meter4m
Flow Measurement-Orifice meter9m
Flow Measurement-Dimensions and units, Pi theorem12m
Flow Measurement-Similitude9m
Flow Measurement-Similitude examples13m
Fluid Mechanics10m
1 practice exercise
Fluid Mechanics Supplemental Questions32m
Week
7
3 hours to complete

Hydraulics and Hydrologic Systems

This module applies basic principles of fluid mechanics to practical problems in hydraulics, hydrology, and groundwater flow. We first discuss the generalized and one-dimensional momentum theorem and apply it to various typical problems. Flow in pipes and non-circular conduits is discussed beginning with the Bernoulli equation accounting for energy losses and gains. Calculation of head loss due to friction and minor losses due to valves and other accoutrements are presented. Friction losses are calculated for laminar Poiseuille flow and turbulent flow using the Moody chart; examples include computation of pressure drop in laminar pipe flow and turbulent water flow. Methods to calculate flow in pipe networks consisting of multiple connecting pipes and other fittings is then discussed with examples for parallel pipes. Pipes and turbines are then discussed along with their basic equations and definitions. Characteristic curves, especially of centrifugal pumps, are presented and it is shown how to match a pump to a system head.Flow in open channels are discussed including classification of flow types and prediction of uniform flow by the Manning equation. The use of specific energy concepts to solve gradually varying flows, and the importance of the Froude number and sub and supercritical flows are presented. Predictions of hydraulic jumps and flow over weirs are given.Hydrological principles include predictions of surface runoff by the curve number method and peak runoff by the rational formula. Groundwater principles include Darcy’s law for flow through porous media and prediction of drawdown by wells in confined and unconfined aquifers by the Dupuit and Thiem equations.In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 3 hours | Difficulty Level: Medium

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12 videos (Total 120 min), 1 reading, 1 quiz
12 videos
Momentum Theorem Continued15m
Flowin Pipesand Conducts12m
Flow in Pipes10m
Flow in Pipes Continued9m
Pumps and Turbines6m
Pumps and Turbines Continued11m
Flow in Open Channels10m
Flow in Open Channels Continued13m
Hydrology5m
Groundwater5m
Groundwater Continued7m
Hydraulics and Hydrological Systems10m
1 practice exercise
Hydraulics Hydrology Supplemental Questions30m
Week
8
2 hours to complete

Structural Analysis

This module reviews basic principles of the structural analysis of trusses and beams. It builds on material covered in Statics (Module 6) and Mechanics of Materials (Module 8). We first review the conditions for static equilibrium, then apply them to simple trusses and beams. We then consider the deflections of beams under various types of loadings and supports. We derive the differential equations that govern the deflected shapes of beams and present their boundary conditions. We show how to solve the equations for a particular case and present other solutions. The method of superposition and its application to predicting beam deflection and slope under more complex loadings is then discussed. Finally the conditions for static determinacy and indeterminacy are presented along with example applications to trusses and beams. In all cases, basic ideas and equations are presented along with sample problems that illustrate the major ideas and provide practice on expected exam questions.Time: Approximately 2.5 hours | Difficulty Level: Medium

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8 videos (Total 91 min), 2 readings, 1 quiz
8 videos
Static Review: Trusses 15m
Static Review: Beams 13m
Beam Deflections: Differential Equations 7m
Beam Deflections: Solutions to Differential Equations 10m
Beam Deflections: Examples12m
Beam Deflections: Methods of Superposition 7m
Static Determinacy: Trusses and Beams11m
Structural Analysis10m
Where to go from here10m
1 practice exercise
Structural Analysis Supplemental Questions26m
4.7
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Top reviews from Fundamentals of Engineering Exam Review

By AKApr 17th 2016

This course was a good refresher which hit a lot of topics covered on the FE exam. I supplemented this course with some reference books and the NCEES manual and I was able to pass the FE Exam.

By TJJan 3rd 2017

Its a good way to start studying for the FE exam, but you will need to get a book with all the FE topics to study with as well.