Georgia Tech - Fundamentals of Engineering Exam Review 

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Analytic Geometry and Trigonometry: Straight Lines

Analytic Geometry and Trigonometry: Polynomials and Conics

Analytic and Geometry and Trigonometry: Trigonometry

Algebra and Linear Algebra: Complex numbers and logarithms

Algebra and Linear Algebra: Matrices and determinants

Vectors: Basic Definitions and operations

Vectors: Examples

Series: Arithmetic and geometric progressions

Calculus: Derivatives and curvature

Calculus: Integration

Calculus: Gradient, divergence and curl

DifferentialEq: Classification

DifferentialEq: Solutions

DifferentialEq: Fourier series

DifferentialEq: Laplace

Learning Objectives

Earn a Georgia Tech Badge/Certificate/CEUs

Mathematics Supplemental Questions

Basic Parameters

Permutation and Combinations

Probability: Laws and Examples

Probability: Bayes Theorem

Probability Distributions: Density Functions

Probability Distributions: Expected Values

Probability Distributions:Binomial Distribution

Probability Distributions:Normal Distribution

Probability Distributions:Central Limit Theorem

Probability Distributions:Other Distributions

Confidence Levels

Hypothesis Testing

Linear Regression

Learning Objectives

Probability and Statistics Supplemental Questions

Basic Concepts

Basic Concepts Continued

Moments and Couples

Equilibrium

Equilibrium Examples

Trusses

Trusses Method of Sections

Centroids and Moments of Inertia

Centroids and Moments of Inertia Continued

Statics

Statics Supplemental Questions

Stresses and Strains: Introduction

Stresses and Strains: Mechanical Properties

Stresses and Strains: Shear Stress

Axial Loadings: Axial Loaded Members

Axial Loadings: Statically Indeterminate Structures

Axial Loadings: Thermal Effects and Stresses on Inclined Surfaces

Torsion: Circular Bars in Pure Torsion

Torsion: Nonuniform Torsion and Power

Shear Force and Bending Moments: Introduction to Bending of Beams

Shear Force and Bending Moments: Shear force and Bending Moment Diagrams

Stresses in Beams: Strains in Pure and Nonuniform Bending

Stresses in Beams: Strains in Pure and Nonuniform Bending (continued)

Stresses in Beams: Stresses, Moment-Curvature Equation, and Geometric Properties

Stresses in Beams: Digression (Centroids and Moments of Areas)

Learning Objectives

Earn a Georgia Tech Badge/Certificate/CEUs

Mechanics of Materials Supplemental Questions

Fluid Properties- Introduction

Fluid Properties-Density and Pressure

Fluid Properties-Stresses Viscosity

Fluid Properties-Surface tension

Fluid Properties-Units and other properties

Fluid Statics- Introduction and Pressure Variation

Fluid Statics-Application to manometers and barometers

Fluid Statics-Forces on submerged plane surfaces

Fluid Statics-Forces on submerged plane surfaces continued

Fluid Statics-Buoyancy and stability

Continuity and Energy Equations: Continuity and mass conservation

Continuity and Energy Equations: Energy equation

Continuity and Energy Equations: Energy equation examples

Flow Measurement-Pilot tubes

Flow Measurement-Venturi meter

Flow Measurement-Orifice meter

Flow Measurement-Dimensions and units, Pi theorem

Flow Measurement-Similitude

Flow Measurement-Similitude examples

Fluid Mechanics

Fluid Mechanics Supplemental Questions

Momentum Theorem

Momentum Theorem Continued

Flowin Pipesand Conducts

Flow in Pipes

Flow in Pipes Continued

Pumps and Turbines

Pumps and Turbines Continued

Flow in Open Channels

Flow in Open Channels Continued

Hydrology

Groundwater

Groundwater Continued

Hydraulics and Hydrological Systems

Hydraulics Hydrology Supplemental Questions

Static Review: Equilibirum

Static Review: Trusses

Static Review: Beams

Beam Deflections: Differential Equations

Beam Deflections: Solutions to Differential Equations

Beam Deflections: Examples

Beam Deflections: Methods of Superposition

Static Determinacy: Trusses and Beams

Structural Analysis

Where to go from here

Structural Analysis Supplemental Questions