Offered By

Georgia Institute of Technology

About this Course

51,458

The purpose of this course is to review the material covered in the Fundamentals of Engineering (FE) exam to enable the student to pass it. It will be presented in modules corresponding to the FE topics, particularly those in Civil and Mechanical Engineering. Each module will review main concepts, illustrate them with examples, and provide extensive practice problems.

Start instantly and learn at your own schedule.

Reset deadlines in accordance to your schedule.

Subtitles: English

Start instantly and learn at your own schedule.

Reset deadlines in accordance to your schedule.

Subtitles: English

Week

1This 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....

3 videos (Total 20 min), 3 readings

Course Syllabus10m

Consent Form10m

Get More from Georgia Tech10m

Week

2This 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...

15 videos (Total 123 min), 2 readings, 1 quiz

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

Calculus: Gradient, divergence and curl7m

DifferentialEq: Classification6m

DifferentialEq: Solutions7m

DifferentialEq: Fourier series7m

DifferentialEq: Laplace7m

Learning Objectives10m

Earn a Georgia Tech Badge/Certificate/CEUs10m

Mathematics Supplemental Questions34m

Week

3This 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...

13 videos (Total 91 min), 1 reading, 1 quiz

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

Probability and Statistics Supplemental Questions28m

Week

4This 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...

9 videos (Total 150 min), 1 reading, 1 quiz

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

Statics Supplemental Questions30m

Week

5This 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...

14 videos (Total 188 min), 2 readings, 1 quiz

Stresses and Strains: Mechanical Properties 13m

Stresses and Strains: Shear Stress 13m

Axial Loadings: Axial Loaded Members 14m

Axial Loadings: Statically Indeterminate Structures10m

Axial Loadings: Thermal Effects and Stresses on Inclined Surfaces 18m

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

Earn a Georgia Tech Badge/Certificate/CEUs10m

Mechanics of Materials Supplemental Questions38m

Week

6This 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...

19 videos (Total 190 min), 1 reading, 1 quiz

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

Fluid Mechanics Supplemental Questions32m

Week

7This 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...

12 videos (Total 120 min), 1 reading, 1 quiz

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

Hydraulics Hydrology Supplemental Questions30m

Week

8This 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...

8 videos (Total 91 min), 2 readings, 1 quiz

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

Structural Analysis Supplemental Questions26m

4.7

55 Reviewsstarted a new career after completing these courses

got a tangible career benefit from this course

got a pay increase or promotion

By AK•Apr 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 TJ•Jan 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.

The Georgia Institute of Technology is one of the nation's top research universities, distinguished by its commitment to improving the human condition through advanced science and technology.
Georgia Tech's campus occupies 400 acres in the heart of the city of Atlanta, where more than 20,000 undergraduate and graduate students receive a focused, technologically based education....

When will I have access to the lectures and assignments?

Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

What will I get if I purchase the Certificate?

When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

What is the refund policy?

Is financial aid available?

More questions? Visit the Learner Help Center.

Coursera provides universal access to the world’s best education,
partnering with top universities and organizations to offer courses online.