University of Washington Aeronautics and Astronautics
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Educational Videos

Christopher Lum

Christopher Lum
Affiliate Associate Professor
lum@uw.edu
Office: AERB 138
Phone: (206)543-0539

PhD, Aeronautical Engineering, University of Washington
MS, Aeronautical Engineering, University of Washington
BS, Aeronautical Engineering, University of Washington

 

This page contains educational videos on the following topics.



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Video ID Thumbnail Title Comment URL
AE501
AE501_01 AE501 Week01
  • Week01 roadmap and homework discussion.
 https://youtu.be/Uo1a7BjjXhM
AE501_02 AE501 Week02
  • Week02 roadmap and homework discussion.
 https://youtu.be/eiNJoTSDrcQ
AE501_03 AE501 Week03
  • Week03 roadmap and homework discussion.
 https://youtu.be/GewSfX29374
AE501_04 AE501 Week04
  • Week04 roadmap and homework discussion.
 https://youtu.be/7r1fbTNiRRQ
AE501_05 AE501 Week05
  • Week05 roadmap and homework discussion.
 https://youtu.be/JC9rqadMUnI
AE501_06 AE501 Week06
  • Week06 roadmap and homework discussion.
 https://youtu.be/OotVyEMfi28
AE501_07 AE501 Week07
  • Week07 roadmap and homework discussion.
 https://youtu.be/yQrGPz4eFL8
AE501_08 AE501 Week08
  • Week08 roadmap and homework discussion.
 https://youtu.be/QsRF81sBjOE
AE501_09 AE501 Week09
  • Week09 roadmap and homework discussion.
 https://youtu.be/I0wwM-kVMyg
AE501_10 AE501 Week10
  • Week10 roadmap and homework discussion.
 https://youtu.be/hoLYMYcsxWk
AE511
AE511_01 AE511 Week01
  • Week01 roadmap and homework discussion.
 https://youtu.be/Lee9QEMmU7g
AE511_02 AE511 Week02
  • Week02 roadmap and homework discussion.
 https://youtu.be/X-GyQxUt2TA
AE511_03 AE511 Week03
  • Week03 roadmap and homework discussion.
 https://youtu.be/R3PImUpBstA
AE511_04 AE511 Week04
  • Week04 roadmap and homework discussion.
 https://youtu.be/S0He2Lcd7LI
AE511_05 AE511 Week05
  • Week05 roadmap and homework discussion.
 https://youtu.be/fR4bhn5AYbI
AE511_06 AE511 Week06
  • Week06 roadmap and homework discussion.
 https://youtu.be/bW6572K7mBY
AE511_07 AE511 Week07
  • Week07 roadmap and homework discussion.
 https://youtu.be/oaW9ZFtuUjE
AE511_08 AE511 Week08
  • Week08 roadmap and homework discussion.
 https://youtu.be/VsEprpkysgI
AE511_09 AE511 Week09
  • Week09 roadmap and homework discussion.
 https://youtu.be/IQwGkxUyC8c
AE511_10 AE511 Week10
  • Week10 roadmap and homework discussion.
 https://youtu.be/Y6L4puRWp54
AE511_Final AE511 Final Project
  • Expectations and logistics associated with the final project.
 https://youtu.be/vG-3wba44Us
AE512
AE512_01 AA516/AE512 Week01
  • Week01 roadmap and homework discussion.
 https://youtu.be/tk1sHdw5PWs
AE512_02 AA516/AE512 Week02
  • Week02 roadmap and homework discussion.
 https://youtu.be/XZt1YLVy6XU
AE512_03 AA516/AE512 Week03
  • Week03 roadmap and homework discussion.
 https://youtu.be/iaM-jMmAp6c
AE512_04 AA516/AE512 Week04
  • Week04 roadmap and homework discussion.
 https://youtu.be/WDMTaNsgYVo
AE512_05 AA516/AE512 Week05
  • Week05 roadmap and homework discussion.
 https://youtu.be/js0jPF_h0wM
AE512_06 AA516/AE512 Week06
  • Week06 roadmap and homework discussion.
 https://youtu.be/-FQzeD9gsS0
AE512_07 AA516/AE512 Week07
  • Week07 roadmap and homework discussion.
 https://youtu.be/aDWz_hbNYzM
AE512_08 AA516/AE512 Week08
  • Week08 roadmap and homework discussion.
 https://youtu.be/EGmKPpV6bXs
AE512_09 AA516/AE512 Week09
  • Week09 roadmap and homework discussion.
 https://youtu.be/JZNORkEnB5c
AE512_10 AA516/AE512 Week10
  • Week10 roadmap and homework discussion.
 https://youtu.be/Z5sWyYpLbnQ
AE512_Final AA516/AE512 Final Project
  • Expectations and logistics associated with the final project.
 https://youtu.be/REIAY8VRjFI
Arduino
Arduino01 Getting Started with Arduino: IDE Installation, Setup, and Getting Connected
  • Installing the Arduino IDE.
  • Connecting to an Arduino.
  • Writing a simple program (sketch) to run on an Arduino.
 https://youtu.be/Celxv69ycIA
Arduino02 Getting Started with the Matlab Support Package for Arduino Hardware
  • Installing and setting up the Matlab Support Package for Arduino Hardware.
  • Writing a simple program (m-file script) to run on an Arduino.
 https://youtu.be/8NQ1h0gGgX8
Arduino03 Getting Started with the Simulink Support Package for Arduino Hardware
  • Installing and setting up the Simulink Support Package for Arduino Hardware.
  • Creating a simple Simulink model (.slx) to run on an Arduino.
 https://youtu.be/nOz3uTi20Jo
Artificial Intelligence and Machine Learning
AIML01 Introduction to Neural Networks
  • Notation and nomenclature in neural networks.
  • Weights and biases in neural networks.
  • Forward propagation.
 https://youtu.be/i2fmaabIs5w
AIML02 Regression Using Numerical Optimization
  • Linear regression.
  • Analytical solution via Moore-Penrose pseudoinverse.
  • Generalized regression via numerical optimization.
 https://youtu.be/FXoyslOwV3o
AIML03 The MNIST Database
  • Downloading the database.
  • Parsing the data.
  • Manipulating in Matlab.
 https://youtu.be/NS2FI6vR3BY
Ardupilot
Ardupilot01 Setting up Windows Subsystem for Linux
  • Install and setup Windows Subsystem for Linux (WSL).
 https://youtu.be/RK3qdoLOcjI
Ardupilot02 Customizing ArduPlane Firmware: Obtaining and Setting Up the Codebase
  • Forking the Ardupilot codebase.
  • Rolling back repo to a desired point
 https://youtu.be/37CP43OogQI
Ardupilot03 Customizing ArduPlane Firmware: Building the Firmware
  • Building with codebase with waf.
 https://youtu.be/PLGezPQYMrs
Blender
Blender01 Getting Started with Blender for Video Editing
  • Downloading and installing Blender.
  • Using Blender for video editing.
 https://youtu.be/m7c45On2eYk
Blender02 Using Blender to Add Images, Text, and Sounds to Video Clips
  • Adding image and text overlays to videos.
  • Adding sound effects and background music to videos.
 https://youtu.be/Gzlk6MKGHrg
Blender03 Blender for Video Editing: Picture-in-Picture (PiP)
  • Adding, sizing, and manipulating picture-in-picture video.
 https://youtu.be/FGe5N4HPQMI
Blender04 Blender for Video Editing: Video Transitions
  • Adding video transitions to Blender projects.
  • Fade in/out, cross, wipe effects.
 https://youtu.be/0wuU-7BmtVE
Blender05 Blender for Video Editing: Working with Landscape and Portrait Movies
  • Rotating and scaling movies.
  • Embed portrait videos into landscape projects.
 https://youtu.be/rw7s84oixl0
Blender06 Blender for Video Editing: Introduction to Keyframes
  • Using keyframes to animate videos.
  • Examples of animating/interpolating image position, text size/color, picture-in-picture, sound levels, etc.
 https://youtu.be/5L-w143fEQA
Blender07 Blender for Video Editing: Privacy Blur Using Masking
  • Masking.
  • Gaussian blur.
 https://youtu.be/NF_Q282V_uo
Computer Science
ComputerScience01 Bit Shifting, Bit Masking, and Bit Manipulation
  • Arithmetic shift vs. logical shift.
  • Directly manipulating bits.
  • MATLAB and C implementations.
 https://youtu.be/4JgtUf5ThqY
ComputerScience02 Obtaining a YouTube Data API Key
  • Enabling the YouTube Data API.
  • Obtaining a key.
 https://youtu.be/l56SPYVBwuw
ComputerScience03 Download All Comments from a YouTube Video or Playlist
  • Using Google Colab.
  • Downloading comments.
 https://youtu.be/POumhaNEOAc
Controls
Controls01 Deriving Percent Overshoot, Settling Time, and Other Performance Metrics
  • Analytical response of a standard second order system to a step input.
  • Derivation of percent overshoot, settling time, rise time, time to first peak, and magnitude at first peak.
 https://youtu.be/QWCLthgJEbc
Controls02 Relationship Between Poles and Performance of a Dynamic System
  • Translating performance requirements (percent overshoot, settling time, etc.) to requisite pole locations.
 https://youtu.be/0tbr4OIufK8
Controls03 Using Root Locus to Meet Performance Requirements
  • Demonstrate how to use the root locus technique to generate a controller that meets performance requirements.
 https://youtu.be/rNYHww84juM
Controls04 Practical Implementation Issues with a Full State Feedback Controller
  • Investigate and address implementation issues with full state feedback controllers.
  • Control saturation.
  • Inability to measure full state of system.
 https://youtu.be/9vCTokJ5RQ8
Controls05 Introduction to Linear Quadratic Regulator (LQR) Control
  • Introduction to optimization.
  • Introduction to LQR control.
  • Solving the Algebraic Ricatti Equation.
  • Understanding the Q and R matrices in LQR.
 https://youtu.be/wEevt2a4SKI
Controls06 Transfer Functions: Introduction and Implementation
  • Introduction to transfer functions.
  • Using the Laplace Transform to obtain a transfer function.
  • Working with transfer functions in Mathematica, Matlab, and Simulink.
 https://youtu.be/Uh_-RZQIaEs
Controls07 Block Diagram Algebra
  • Introduction to block diagrams.
  • Block diagram algebra/reduction.
 https://youtu.be/OE9Va_ky6yU
Controls08 Final Value Theorem
  • Theorem and proof.
  • Example with step and ramp input.
 https://youtu.be/FgF-QfbP7zc
Controls09 DC Gain
  • Relationship between DC gain and system transfer function.
  • Steady state error.
 https://youtu.be/sgTt7v4LYfE
Controls10 Time Domain Analysis: Performance Metrics for a First Order System
  • 1st order system response to step and ramps.
  • Steady state error, settling time, rise time.
 https://youtu.be/5FmXwsrHmpA
Controls11 Introduction to Bode Plots
  • Background for Bode plots.
  • Manually creating Bode plots.
 https://youtu.be/KX7GNqy3k7w
Controls12 Resonant Frequency of a Dynamic System
  • Resonant frequency.
 https://youtu.be/0ZUp07xP--A
Controls13 Understanding and Sketching Individual Bode Plot Components
  • Single real pole/zero.
  • Single pole/zero at origin.
  • Pair of complex conjugate poles/zeros.
  • Constant gain.
 https://youtu.be/aoFakXGYOH0
Controls14 Bode Plots of Complex Transfer Functions
  • Decomposing transfer functions into individual components.
  • Hand sketching bode plots.
 https://youtu.be/cBMgRWOzLnw
Controls15 Understanding and Sketching the Root Locus
  • Theory and equations governing root locus.
  • 5 core rules for sketching the root locus (number of lines/poles, number of zeros at infinity, valid regions on the real axis, angle/centroid of asymptotes, angle of departure from complex poles).
  • 5 additional, supplemental rules.
  • Examples of sketching root locus on various systems.
 https://youtu.be/gA-KOk3SAb0
Controls16 The Routh-Hurwitz Stability Criterion
  • Computing the Routh array.
  • Applications to root locus.
  • Generalization to generic polynomials.
 https://youtu.be/QWb9sq35cNk
Controls17 Bandwidth of a Dynamic System
  • Definition of system bandwidth.
  • Application to linear and nonlinear systems.
  • Using closed loop bode plot to determine bandwidth.
  • Changing controller to change bandwidth.
 https://youtu.be/evVi_D7C6mA
Controls18 Designing a PID Controller Using the Ziegler-Nichols Method
  • The Ziegler-Nichols procedure.
  • Online tuning of a PID controller.
  • Application to a simulation and real system.
 https://youtu.be/n829SwSUZ_c
Controls19 Designing a PID Controller Using the Root Locus Method
  • Using root locus to design a PI, PID, and PI-PseudoD controller.
  • Application to a simulation and real system.
  • Generalization to using the root locus technique to any linear controller.
 https://youtu.be/Hk6YBO_A_PU
Controls20 Controllability of a Linear System: The Controllability Matrix and the PBH Test
  • Controllability matrix.
  • Popov-Belevitch-Hautus (PBH) Test.
  • Matlab 'rank' and 'ctrb'.
 https://youtu.be/oQDi3Giv-DI
Controls21 Introduction to Full State Feedback Control
  • Eigenvalues of closed loop system.
  • Pole placement of controllable, uncontrollable, and controllable with multiple inputs.
  • Matlab 'place' and 'acker'.
 https://youtu.be/1zIIcYfp5QA
Controls22 State Space to Transfer Function
  • Converting a state space representation to a transfer function.
  • Matlab 'ss2tf', 'tfdata', 'minreal', etc.
 https://youtu.be/NNJ0sUmrKu8
Controls23 Transfer Function to State Space
  • Controllable canonical form.
  • Modal canonical form.
  • Controller canonical form.
  • Matlab 'tf2ss'.
 https://youtu.be/RG_tdz1VzwY
Controls24 Equations of Motion for a Planar Vehicle
  • Deriving equations for a boat or hovercraft.
  • Simulink implementation.
 https://youtu.be/kbGal6xKLB4
Controls25 Practical Implementation Issues with a PID Controller
  • Pseudo-derivative.
  • Integrator anti-windup.
 https://youtu.be/yr6om0e0oAQ
Controls26 Similarity Transformation of a Linear Dynamic System
  • Transforming states.
  • Reordering states.
  • Diagonalization.
 https://youtu.be/XMkLNHUmTQM
Controls27 Eigenvalues and Modes of Linear Systems
  • Analytical solution to state space systems.
  • Eigenvalues/poles of system.
  • Exciting specific modes.
  • Eigenvectors as participation factors.
 https://youtu.be/35BTWpaihkI
Controls28 Translating Inputs, Outputs, and Initial Conditions Between Linear and Nonlinear Dynamic Systems
  • Nonlinear vs. linear systems.
  • Equivalent inputs, outputs, and initial conditions.
 https://youtu.be/FDK0bOmOjZo
Controls29 Introduction to Frequency Domain Analysis
  • Deriving the response to a sinusoidal input.
  • Amplification factor and phase shift.
 https://youtu.be/yuT4Mg2NIQs
Controls30 Translating Between State Space, Transfer Function, and Ordinary Differential Equation Models
  • How to move between different dynamic models.
 https://youtu.be/CrkAMiCAp5s
Controls31 Introduction to Root Locus
  • High-level ideas/concepts of the root locus technique.
 https://youtu.be/V3iveC_fa04
Controls32 Introduction to PID Control
  • High-level ideas/concepts of PID control.
  • Analysis of proportional, integral, and derivative components.
  • Physical example of PID control.
 https://youtu.be/_VzHpLjKeZ8
Controls33 Time to Double for a First and Second Order System
  • Time to double for an unstable system.
  • First order unstable system.
  • Second order unstable, underdamped system.
 https://youtu.be/k-mli8-04RQ
Controls34 Open Loop Control Via Lookup Tables
  • Open loop control.
  • Lookup tables.
  • Controlling temperature example.
 https://youtu.be/Bq-wmKQZsgI
Controls35 Bang/Bang Control
  • Bang/bang control.
  • Simulation and hardware implementation.
  • Control chatter.
 https://youtu.be/TT3Wn7dDNYo
Controls36 Bang/Bang Control with a Hysteresis Deadband
  • Hysteresis deadband using memory blocks and finite state machines.
  • Simulation and hardware implementation.
  • Stateflow tutorial.
 https://youtu.be/q0Z3-iDV0Po
Electronics
Electronics01 Bit Shifting, Bit Masking, and Bit Manipulation
  • Arithmetic shift vs. logical shift.
  • Directly manipulating bits.
  • MATLAB and C implementations.
 https://youtu.be/4JgtUf5ThqY
Flight Mechanics
FlightMech01 Simple Vector Mechanics: Inner Product, Scalar/Vector Projection, and Cross Product
  • Inner/dot product.
  • Scalar/vector projection.
  • Cross product.
 https://youtu.be/fAZZJgm096w
FlightMech02 Expressing Vectors in Different Frames Using Rotation Matrices
  • Notation for expressing vectors in different frames.
  • Rotation matrices.
 https://youtu.be/TODDZnOT3ro
FlightMech03 Derivation of Rodrigues’ Rotation Formula
  • History of formula.
  • Derivation of formula.
 https://youtu.be/Fh3nMi87cB8
FlightMech04 Vector Derivatives (the Equation of Coriolis) and the Angular Velocity Vector
  • Derivation using Rodrigues' Rotation Formula.
  • Derivation using small angle analysis.
  • Properties of the angular velocity vector.
 https://youtu.be/-OyRCgv-hPs
FlightMech05 Coriolis Effect Demonstration (with Drones)
  • Demonstration using a merry-go-round.
  • Effect of rotating reference frame on cyclones, aircraft navigation, and projectiles.
 https://youtu.be/okaxKzoyMK0
FlightMech06 Velocity & Acceleration in Non-Inertial Reference Frames (Coriolis & Centrifugal Acceleration)
  • Mathematical derivation of acceleration in rotating reference frames.
  • Derivation of Coriolis and Centrifugal acceleration.
 https://youtu.be/uTabQKD2WMs
FlightMech07 Euler Angles and the Euler Rotation Sequence
  • Definition of Euler angles.
  • Relationship to the direction cosine matrix (DCM).
 https://youtu.be/GJBc6z6p0KQ
FlightMech07B Direction Cosine Matrix from North East Down to East North Up
  • Rotation matrix from NED to ENU.
 https://youtu.be/NI70-AWnO4w
FlightMech08 Computing Euler Angles: The Euler Kinematical Equations and Poisson’s Kinematical Equations
  • How to compute Euler angles based on rate gyro measurements.
  • Simulink implementation of the Euler Kinematical Equations and Poisson's Kinematical Equations.
 https://youtu.be/9GZjtfYOXao
FlightMech09 Computing Euler Angles: Tracking Attitude Using Quaternions
  • Introduction to quaternions.
  • Simulink implementation of quaternion kinematical equations.
 https://youtu.be/98Mfe-Vfgo0
FlightMech10 Using a Homogeneous Transformation Matrix to Combine Rotation and Translation
  • Rotation and translation in a single matrix transformation.
  • Examples.
 https://youtu.be/LftL6dA6tzE
FlightMech11 The Flat Earth Equations of Motion
  • Equations of motion for a flat and non-rotating earth model.
 https://youtu.be/JhwYe7kOJPI
FlightMech12 Angle of Attack/Sideslip and the Stability/Wind Axes
  • Angle of attack/sideslip.
  • Rotation from body to stability to wind axis.
 https://youtu.be/4kaK569ug9Q
FlightMech13 Dimensionless Aerodynamic Coefficients
  • Reducing model dimensionality.
  • Aerodynamic coefficients.
 https://youtu.be/XO8KvIoCNbE
FlightMech14 Wind Tunnel Testing: Introduction and Data Acquisition
  • Intro to wind tunnel testing.
  • Virtual tour of the Kirsten Wind Tunnel at the University of Washington.
 https://youtu.be/c0Lv-mJ_65o
FlightMech15 Wind Tunnel Corrections and Data Reduction
  • Corrections and data reduction for wind tunnel data.
  • Blockage corrections, weight tares, wall corrections, etc.
 https://youtu.be/6FZ6sIZSYrc
FlightMech16 Wind Tunnel Data Analysis and Testing Considerations
  • What should wind tunnel data look like?
  • Considerations for building a wind tunnel model.
  • Considerations for conducting a wind tunnel test.
 https://youtu.be/Nt4Ab2YdiLA
FlightMech17 Manipulating Aerodynamic Coefficients
  • Review of dimensionless aerodynamic coefficients.
  • Adding/subtracting aerodynamic coefficients.
  • Rotating aerodynamic coefficients.
 https://youtu.be/Mv6aUQkK59s
FlightMech18 A Nonlinear, 6 DOF Dynamic Model of an Aircraft: the Research Civil Aircraft Model (RCAM)
  • Intro to the RCAM aircraft.
  • Modelling the forces, moments, and other aspects of the system.
 https://youtu.be/bFFAL9lI2IQ
FlightMech19 Building a Matlab/Simulink Model of an Aircraft: the Research Civil Aircraft Model (RCAM)
  • Calculating state derivatives (RCAM_model.m).
  • Simulink model of the aircraft.
 https://youtu.be/m5sEln5bWuM
FlightMech20 Trimming a Model of a Dynamic System Using Numerical Optimization
  • Equilibrium vs. trim points.
  • Finding trim points for steady state, straight and level flight of the RCAM aircraft.
 https://youtu.be/YzZI1V2mJw8
FlightMech21 Numerically Linearizing a Dynamic System
  • Calculating Jacobian matrices numerically via the symmetric difference quotient.
  • Linearizing the RCAM model about steady state, straight and level flight.
  • Verifying results using the Linear Analysis Tool and linmod.
 https://youtu.be/1VmeijdM1qs
FlightMech22 Aircraft Longitudinal & Lateral/Directional Models & Modes (Phugoid, Short Period, Dutch Roll, etc.)
  • Similarity transformation to rearrange states.
  • Decoupled longitudinal and lateral/directional models.
  • Short period, phugoid, Dutch roll, roll subscidence, and spiral divergence modes.
 https://youtu.be/JZlqctmQ7is
FlightMech23 The Navigation Equations: Computing Position North, East, and Down
  • Rotating velocity vector to NED frame.
  • Simulink implementation.
 https://youtu.be/XQZV-YZ7asE
FlightMech24 Geodetic Coordinates: Computing Latitude and Longitude
  • Geodetic latitude, terrestrial longitude, geodetic altitude.
  • Meridian and Prime Vertical radius of curvature.
  • Time rate of change of lat/lon as a function of velocity noth and east.
 https://youtu.be/4BJ-GpYbZlU
Fusion
Fusion01 Getting Started with Fusion 360
  • Workflow for using Autodesk Fusion 360.
  • Sketches.
  • Extruding.
  • Features.
 https://youtu.be/NTV9anV-TxY
Fusion02 3D Printing Using Fusion 360 and Cura
  • Exporting to a .stl file.
  • Slicing with Cura.
  • Loading .gcode onto 3D printer
 https://youtu.be/f7nODvpmCHw
Fusion03 Turn Pictures Into CAD Models for Fusion 360
  • Preparing images using GIMP and Inkscape.
  • Importing .svg files into Fusion.
 https://youtu.be/Op-usMAGRAc
Fusion04 Autodesk Fusion: Import CSV Points
  • Installing the ImportCSVFile add-in.
 https://youtu.be/Nn5oy3m99pM
Git and GitHub
Git01 Setting up Git on Windows
  • Workflow for using Git on Windows.
  • Installing 'Git for Windows'.
  • Installing 'posh-git'.
  • Installing 'GitHub Desktop'.
 https://youtu.be/Hkky3zcRILc
Git02 Creating and Cloning a Git Repository
  • Cloning a cloud repository to a local repository.
  • Using Git Shell and GitHub Desktop to interact with repositories.
 https://youtu.be/-l7e6mcQrp4
Git03 Basic Git Operations and Workflow
  • Git operations such as pull, add, commit, and push.
  • How these can be used in a typical git workflow.
 https://youtu.be/PI1IgbLhRH8
Git04 Using Branches in Git
  • Branches in Git.
 https://youtu.be/8RG7rdDEo1Y
Jupyter Notebook
Jupyter01 Installing Jupyter Notebook
  • Installing Python.
  • Installing Jupyter Notebook.
  • Starting a notebook.
 https://youtu.be/wzwt-PpdZ9w
LaTeX
Latex01 Getting Started with LaTeX
  • Downloading and installing MikTeK.
  • Setting up Texmaker (a LaTeX IDE).
  • Building a LaTeX document with tables, figures, equations, etc. (sample code provided).
 https://youtu.be/qCgqYNhmmDE
Mathematica
Mathematica01 Getting Started with Mathematica
  • Simple calculations.
  • Cells.
  • Typesetting.
  • Palettes.
  • Using built-in functions.
 https://youtu.be/mXFDAz3S9Uk
Mathematica02 Working with Matrices in Mathematica
  • Defining matrices.
  • MatrixForm.
  • Extracting rows/columns.
  • Concatenation.
  • Matrix operations.
 https://youtu.be/182m2cSyuUs
Mathematica03 2D Plotting in Mathematica
  • Using the 'Plot' command.
  • Decorating a plot.
  • Legends.
  • Multiple plots (Show).
  • ListPlot.
  • ListLinePlot.
  • DiscretePlot.
  • Histogram.
  • PieChart.
 https://youtu.be/j-utznrXmcY
Mathematica04 3D Plotting in Mathematica
  • Plotting a surface using 'Plot3D'.
  • Plotting a line using 'ParametricPlot3D'.
  • Plotting a point using 'Graphics3D'.
 https://youtu.be/s_ehZc5N7Lg
Mathematica05 Creating Movies and Animations in Mathematica
  • Simple animations via 'Manipulate'.
  • Workflow for creating movies in Mathematica.
 https://youtu.be/S03e6dwM100
Mathematica06 Working with Graphics in Mathematica
  • Inserting graphics using Mathematica's native graphics engine.
  • Importing graphics from external sources.
 https://youtu.be/SrT2tPP2f84
Mathematics
    Calculus
Calculus01 Scalar Functions, Vector Functions, and Vector Derivatives
  • Definition of a scalar function.
  • Definition of a vector function.
  • Vector derivative.
 https://youtu.be/haJVEtLN6-k
Calculus02 Parameterizing Curves
  • Parameterizing curves in multiple dimensions.
  • Examples.
 https://youtu.be/MPcfaNIREN0
Calculus03 Tangent to a Curve
  • Computing tangent to a curve using a parametric representation.
  • Examples.
 https://youtu.be/HH367um_Aho
Calculus04 Arc Length (AKA Length of a Curve)
  • Computing arc length of a curve using a parametric representation.
  • Examples.
 https://youtu.be/FoiuvPkFppg
Calculus05 Gradient of a Function and the Directional Derivative
  • Gradient of a function and intuitive definition.
  • Directional derivative.
  • Examples.
 https://youtu.be/obeu4B8mXuw
Calculus06a Line Integrals
  • Definition of a line integral.
  • Examples.
 https://youtu.be/0sIsoJYmVVM
Calculus06b Potential Functions, Fundamental Theorem of Calculus Applied to Line Integrals, & Path Independence
  • Potential Functions.
  • Conservative vector fields.
  • Gradient Theorem.
 https://youtu.be/7zYJYaftPu8
Calculus07 Double Integrals
  • Double integrals.
  • Regions of integration.
  • Type I and II regions.
 https://youtu.be/C-yfMjxxsz0
Calculus08 Green’s Theorem: Relating Closed Line Integrals to Double Integrals
  • Green's Theorem.
  • Example of line vs double integral.
 https://youtu.be/p7PSZW9NhLU
Calculus09 Parameterizing Surfaces and Computing Surface Normal Vectors
  • Simple surfaces.
  • Parameterized surfaces.
  • Surface normal vector.
 https://youtu.be/a3_c4c9PYNg
Calculus10 Surface Integrals of Scalar and Vector Fields/Functions
  • Surface integral of a scalar function.
  • Surface integral to calculate surface area, total mass, CG location, etc.
  • Surface integral of a vector function.
  • Surface integral to calculate mass flux.
 https://youtu.be/34Xfij-7gcI
Calculus11 Triple Integrals (AKA Volume Integrals)
  • Example in Cartesian coordinates.
  • Example in cylindrical cooridates.
  • Example in spherical coordinates.
 https://youtu.be/jd-0thQnddY
Calculus12 Numerically Calculating Partial Derivatives
  • Approximating partial derivatives.
  • Newton quotient.
  • Symmetric difference quotient
 https://youtu.be/G2gxvRjQHxc
Calculus13 The Jacobian Matrix
  • Extending the concept of a function gradient to a Jacobian matrix.
  • Examples.
 https://youtu.be/QexBVGVM690
Calculus14 The Chain Rule
  • Understanding the Chain Rule using composite functions.
  • Chain Rule for multi-input, multi-output functions via the Jacobian matrix.
 https://youtu.be/tfpLFQB-7sU
Calculus15 The Laplace Operator, Divergence, and Curl
  • The Laplace Operator.
  • Divergence of a vector field.
  • Curl of a vector field.
 https://youtu.be/KOlVHPShCOk
Calculus16 Summary of Vector Derivative Operations and Formulation in Cylindrical and Spherical Coordinates
  • Summary of vector derivative operations.
  • Gradient, Laplacian, divergence, and curl in cylindrical and spherical coordinates.
  • Curl of a vector field.
 https://youtu.be/JGDaIzC0o0c
Calculus17 The Divergence Theorem
  • Definition of the Divergence Theorem.
  • Example of trading a surface integral for a volume integral.
  • Example adding a surface to create a closed volume.
 https://youtu.be/y5rABxjF_o8
Calculus18 Stokes’ Theorem
  • Definition of Stokes' Theorem.
  • Example/verification of Stokes' Theorem.
  • Relationship to Green's Theorem.
 https://youtu.be/40UUPvrHN-c
    Fourier Analysis
Fourier01 Fourier Series
  • Derivation of Fourier Series coefficients.
  • Example.
 https://youtu.be/7GXbPYzW5JA
Fourier02 Discrete Fourier Transform
  • Nth Roots of Unity
  • Derivation of Fourier Series coefficients.
  • Example.
 https://youtu.be/W30U_rcThLg
Fourier03 Fast Fourier Transform
  • Matrix form of DFT
  • FFT algorithm.
  • FFT in Matlab.
 https://youtu.be/yfsSDynscEs
    Linear Algebra
LinearAlgebra01 Introduction to Matrices
  • Matrix definitions.
  • Matrix operations.
 https://youtu.be/N5R8IZ0R3PI
LinearAlgebra02 Elementary Row Operations, Row Echelon Form, and Reduced Row Echelon Form
  • Elementary Row Operations.
  • Examples.
  • Computing the matrix inverse.
 https://youtu.be/AxgzzJposVo
LinearAlgebra03 Row/Column Space, Linear Independence, and Rank of a Matrix
  • Row/column space.
  • Linear independence and matrix rank.
 https://youtu.be/eIv8muz9Hsk
LinearAlgebra04 Eigenvalues and Eigenvectors
  • Definition of eigenvalues and eigenvectors.
  • Computing eigenvalues and eigenvectors with Matlab and Mathematica.
 https://youtu.be/PqaoKr1IlTg
LinearAlgebra05 Similarity Transformation and Diagonalization
  • Properties of similar matrices.
  • Diagonalization.
 https://youtu.be/wvRlvDYDIgw
LinearAlgebra06 Linear Transformations and Linear Systems
  • Linear transfomations/functions.
  • Linear superposition.
 https://youtu.be/DAzn8d_A-ic
    Optimization
Optimization01 Introduction to Optimization
  • Intro to optimization
 https://youtu.be/lBXdFu6Rwn4
Optimization02 The Taylor Series
  • Taylor Series definition and derivation.
  • Maclaurin Series.
 https://youtu.be/kbV9LdQXVtg
Optimization03 Unconstrained Optimization
  • Conditions for unconstrained optimality
  • Practical implemention issues
 https://youtu.be/6NB4QiKId2w
Optimization04 Numerical Optimization Algorithms: Gradient Descent
  • Steepest descent algorithm
  • Practical implemention issues
 https://youtu.be/qcFdpBi5i38
Optimization05 Numerical Optimization Algorithms: Constant and Diminishing Step Size
  • Constant and step size
  • Diminishing step size
 https://youtu.be/gU2RVo85E1Q
Optimization06 Numerical Optimization Algorithms: Step Size Via Line Minimization
  • Single iteration of line minimization
  • Challenges with line minimization
 https://youtu.be/7E9y3uAliNs
Optimization07 Numerical Optimization Algorithms: Step Size Via the Armijo Rule
  • Single iteration of the Armijo Rule
  • Analysis of algorithm
 https://youtu.be/Uz3B9fVb4LQ
Optimization08 Constrained Optimization: Linear Programs
  • Linear program definition
  • Example of LPs
  • Simplex algorithm
 https://youtu.be/MpWa1yUrg9o
Optimization09 Converting Constrained Optimization to Unconstrained Optimization Using the Penalty Method
  • Penalty parameters
  • Penalty functions
  • Solving unconstrained optmization using Matlab's fminsearch
 https://youtu.be/RTEpONXUJyE
Optimization10 Solving Systems of Equations Using the Optimization Penalty Method
  • Solving systems of equalities
  • Solving systems of inequalities
  • Solving over constrained problems
 https://youtu.be/rx2vUzjuDc0
    Ordinary Differential Equations
ODEs01 Introduction to Ordinary Differential Equations
  • Definition of ODEs.
  • Examples of ODEs.
  • Roadmap of our lectures on ODEs.
 https://youtu.be/yI7UX76tLeY
ODEs02 Complex Numbers, Complex Variables, and Complex Functions
  • Complex numbers
  • Euler's Theorem
  • Complex functions (poles and zeros)
 https://youtu.be/WEYX-wa9csU
ODEs03 The Laplace Transform
  • Definition of the Laplace Transform.
  • Laplace transform of various functions (exponential, ramp, step, pulse, etc.).
  • Solving ODEs using the Laplace method.
 https://youtu.be/q0nX8uIFZ_k
ODEs04 Finding Roots of a Polynomial Using Matlab, Mathematica, and a TI-83
  • Using 'roots' in Matlab.
  • Using 'Roots' and 'Solve' in Mathematica.
 https://youtu.be/J8il5eB_VS8
ODEs05 Partial Fraction Expansion/Decomposition
  • PFE for distinct real roots, repeated real roots, and complex conjugate roots.
  • Example with an improper complex function.
 https://youtu.be/vlCdCAEtRag
ODEs06 The Inverse Laplace Transform
  • Inverse Laplace transform for distinct real roots, repeated real roots, and complex conjugate roots.
  • Using the Laplace method to solve a linear ODE.
 https://youtu.be/wZkrU1lPObM
ODEs07 Homogeneous Linear Ordinary Differential Equations
  • Solving homogeneous ODEs traditionally.
 https://youtu.be/3Kox-3APznI
ODEs08 Nonhomogeneous Linear Ordinary Differential Equations
  • Solving nonhomogeneous ODEs traditionally.
  • Method of underdetermined coefficients.
 https://youtu.be/t98ILS2YdrU
ODEs09 Standard 2nd Order ODEs: Natural Frequency and Damping Ratio
  • Damping ratio and natural frequency.
  • Overdamped, critically damped, and underdamped systems.
 https://youtu.be/eJMf9CYHr6c
ODEs10 State Space Representation of Differential Equations
  • Linear and nonlinear state space form.
  • Writing an nth order ODE in state space form.
 https://youtu.be/pXvAh1IOO4U
ODEs11 Introduction to the Matrix Exponential
  • Deriving the matrix exponential.
 https://youtu.be/e_guF0dwwA4
ODEs12 Analytically Solving Systems of Linear Ordinary Differential Equations
  • Deriving the solution to state space systems.
  • Example and comparison to numerical techniques.
 https://youtu.be/i2QkjxtXKos
ODEs13 Computing the Matrix Exponential Using the Laplace Method
  • Using the Laplace transform to compute the matrix exponential.
  • Example problem
 https://youtu.be/yf7ywxj7K20
ODEs14 Computing the Matrix Exponential Using the Modal Method
  • Using the diagonalization to compute the matrix exponential.
  • Example problem
 https://youtu.be/belZC9XGBtM
    Partial Differential Equations
PDEs01 Introduction to Partial Differential Equations
  • Introduction to Partial Differential Equations (PDEs).
  • Notations for PDEs.
  • Classification of PDEs.
  • Examples of PDEs.
  • Fundamental Theorem of linear PDEs (superposition).
  • Analytically solving a simple PDE.
 https://youtu.be/THjaxvPBGOU
PDEs02 Standing Waves Demonstration
  • Illustrate standing waves by oscillating a string.
  • Fundamental modes of the string.
 https://youtu.be/42WBuhVJ7sA
PDEs03 Derivation of the 1D Wave Equation
  • Derive the 1D wave equation.
  • Application of this to a vibrating string.
 https://youtu.be/IAut5Y-Ns7g
PDEs04 Solving the 1D Wave Equation
  • Separation of variables method for PDEs (AKA the product method).
  • Eigenvalues and eigenfunctions of the problem.
  • Composition of a complete solution via Fourier analysis.
  • Animation of the solution for a PDE.
 https://youtu.be/lMRnTd8yLeY
PDEs05 Heat Transfer Demonstration
  • Physical demo showing heat transfer in a bar.
 https://youtu.be/FsLFZT44l48
PDEs06 Derivation of the Heat Equation
  • Derive the heat equation (PDE).
 https://youtu.be/ixsRJPlO_rc
PDEs07 Solving the 1D Heat Equation
  • Solution to the 1D heat equation.
 https://youtu.be/I3jiMhVGmcg
PDEs08 Derivation and Solution of Laplace’s Equation
  • Simplification of the heat equation to obtain Laplace's Equation.
  • Solving Laplace's Equation.
 https://youtu.be/GCESkCyZt4g
PDEs09 Derivation of the 2D Wave Equation
  • A simple physical demonstration of vibration of thin membranes.
  • Derive the 2D wave equation.
 https://youtu.be/KAS7JBztw8E
PDEs10 Solving the 2D Wave Equation
  • 2 successive separation of variables.
  • Double Fourier series.
 https://youtu.be/Whp6jolTu34
PDEs11 2D Wave Equation for Circular Membranes
  • TBD.
 TBD
PDEs12 Bessel's Equation and Bessel Functions
  • TBD.
 TBD
PDEs13 Numerically Solving Partial Differential Equations
  • Example of a numerical solution using the Fokker-Planck equation.
  • The Finite Difference Method for approximating partial derivatives.
  • Matlab implementation of a numerical simulation of a PDE.
 https://youtu.be/ZSNl5crAvsw
    Probability
Probability01 Basic Probability: Conditional Probability, Independent Events, and the Law of Total Probability
  • Samples, histograms
  • Random variables
  • Conditional probability
  • Independent events
  • Law of Total Probability
 https://youtu.be/NXjio8N0Gp8
Probability02 Probability Distribution Functions and Cumulative Distribution Functions
  • Discrete and continuous random variables
  • Cumulative distribution functions (CDF)
  • Probability density function (PDF)
 https://youtu.be/80kqz8pMlUc
Probability03 The Binomial Distribution
  • Definition of Binomial distribution function
  • Examples
 https://youtu.be/SbM_ASHpzqM
Probability04 Gaussian/Normal Distributions
  • Definition of Gaussian/Normal distribution function
  • The Error Function (erf)
  • Cumulative Normal distribution function
  • The Standard Normal Distribution and Standard Cumulative Distribution
  • Sampling from a Gaussian distribution using ‘randn’
  • The Central Limit Theorem
 https://youtu.be/Xaju4l9KTE0
    Miscellaneous
MathMisc01 The 4 Quadrant Inverse Tangent (atan2) and Other Inverse Trigonometric Functions
  • atan2
  • Inverse functions
 https://youtu.be/UWrkh_N1bfE
MathMisc02 Cartesian, Polar, Cylindrical, and Spherical Coordinates
  • Definition and geometry of various coordinate systems.
  • Translating between different coordinate systems.
 https://youtu.be/FLQXW6G9P8I
    Math Challenges
MathChallenge01 Find the Radius of the Circle Inside the Triangle
  • Inscribed circles
  • Heron's Formula
 https://youtu.be/AlTYdT7kF38
Matlab
Matlab01 Getting Started with Matlab
  • Starting Matlab.
  • Layouts and windows.
  • Editing and debugging.
 https://youtu.be/_M0mOHn0ink
Matlab02 Working with Matrices in Matlab
  • Defining a matrix.
  • Matrix operations (including elementwise operations).
  • Extracting submatrices.
  • Transpose.
  • Concatenation.
  • Built-in functions (zeros, ones, eye, diag, rand, linspace, size, length).
 https://youtu.be/ZBafH5fss1E
Matlab03 2D Plotting in Matlab
  • Using the 'plot' command.
  • Decorating a plot.
  • Legends.
  • Multiple plots (hold on, subplot).
  • histogram.
  • plotyy.
  • semilogx.
  • pie.
 https://youtu.be/gDmpqn92s5U
Matlab04 3D Plotting in Matlab
  • Discretizing a 3D function.
  • plot3.
  • meshgrid.
  • mesh.
  • surf.
  • contour.
  • surfc.
 https://youtu.be/OUwfE_-tcfo
Matlab05 Creating Movies and Animations in Matlab
  • Workflow for creating animations and movies in Matlab.
  • getframe.
  • VideoWriter.
 https://youtu.be/3I1_5M7Okqo
Matlab06 Getting Started with Simulink
  • Using Simulink.
  • Connecting blocks to create a function.
 https://youtu.be/WLPvCefp6Qo
Matlab07 Ordinary Differential Equations and Dynamic Systems in Simulink
  • Numerically solving differential equations with Simulink.
  • Individual blocks, state space, and transfer function representations of a dynamic system.
  • Nonlinear dynamic systems.
 https://youtu.be/Cvu2zWk3gYw
Matlab08 Interacting with a Simulink Model from a Matlab Script
  • Controlling a Simulink model from Matlab.
  • Sending data generated by Simulink to Matlab.
  • Using Matlab data as input to a Simulink model.
 https://youtu.be/sF_sjFqNFUk
Matlab09 Custom Matlab Initialization Using ‘startup.m’
  • Running a script at Matlab startup.
 https://youtu.be/HhuA_kWQaK0
Matlab10 How to Install the MinGW-w64 Compiler in Matlab
  • MinGW-w64 compiler install.
 https://youtu.be/12XRTUqG94Y
Matlab11 Time Domain Analysis with Matlab: Using the Linear System Analyzer
  • Using the 'tf' function.
  • Using the 'step' function.
  • Using the 'lsim' function.
  • Using the 'linearSystemAnalyzer' function/app.
 https://youtu.be/P5fcgnaYIeQ
Matlab12 Using ‘rlocus’ in Matlab to Plot the Root Locus
  • Manually plotting the root locus.
  • Using the 'zpk' function.
  • Using the 'rlocus' function.
 https://youtu.be/im19KuzjWwo
Matlab13 Using ‘minreal’ in Matlab to Perform Transfer Function Pole/Zero Cancellation
  • Pole/zero cancellation.
  • Using the 'minreal' function.
 https://youtu.be/LQf2Vd-frsA
Matlab14 Using the Control System Designer in Matlab
  • Workflow for using the Control System Designer.
  • Adding design requirements.
  • Quickly iterating on controller design.
 https://youtu.be/RPzFLzKkQGs
Matlab15 Trimming a Simulink Model Using the Linear Analysis Tool
  • Trim, operating, and equilibrium points.
  • Linear Analysis Tool for finding trim points.
 https://youtu.be/kypswO4RLkk
Matlab16 Linearizing a Simulink Model Using the Linear Analysis Tool and ‘linmod’
  • Linear Analysis Tool for linearization.
  • linmod linearization.
 https://youtu.be/M6FQfLmir0I
Matlab17 Using Check Boxes and Radio Buttons in Simulink Masked Blocks
  • Check boxes.
  • Radio buttons.
 https://youtu.be/lGI2FXDq4XE
Matlab18 Using ‘fminsearch’ to Minimize a Function Specified by a File with Extra Parameters
  • Cost function in another file.
  • Cost function in an anonymous function.
  • Cost function in an anonymous function with extra parameters.
  • Cost function in another file with extra parameters.
 https://youtu.be/VMd-z3qBQsI
Matlab19 Using a Joystick to Interact with a Simulink Model
  • Using the Aerospace blockset to interface with a joystick.
  • Examples flying an aircraft and a native Matlab demo.
 https://youtu.be/4TGqICzM5XM
Matlab20 Visualizing the State of an Aircraft Using Simulink 3D Animation
  • Using Simulink 3D Animation to visualize the attitude and position of and aircraft.
  • Matlab's aeroblk_HL20 example.
 https://youtu.be/FUitbiQ2XG4
Matlab21 Visualizing the State of a Simulink Aircraft Model Using FlightGear
  • Using the Aerospace blockset to send data to FlightGear to render the state of an aircraft.
  • Downloading and configuring FlightGear to interact with Simulink.
 https://youtu.be/f8tdTiuj5lo
Matlab22 Visualizing the State of a Simulink Aircraft Model Using FlightGear: Installing Additional Aircraft
  • Downloading and installing additional aircraft models/skins.
 https://youtu.be/mLa5SFW2mrI
Matlab23 Visualizing the State of a Simulink Aircraft Model Using X-Plane
  • Creating custom plugins for X-Plane.
  • Downloading and configuring X-Plane to interact with Simulink.
 https://youtu.be/o8a4d11g5Kw
Matlab24 Obtaining and Using the MatlabLum Repository
  • Downloading/cloning the repository from GitHub.
  • Installing and using the software development kit.
 https://youtu.be/5ROS2-4ShmI
Matlab25 Importing Table Data Into Matlab Using ‘readtable’
  • Using readtable and potential pitfalls.
  • Generating custom settings for readtable using the Data Import Wizard.
  • Importing Excel and CSV files.
 https://youtu.be/tYkIt16bggw
Matlab26 Commenting Code in Matlab and Simulink (Ways You Can Use ‘%’)
  • Comments and comment blocks.
  • Sections.
  • Commenting out/through block in simulink.
 https://youtu.be/x6qkmxxMKEw
Matlab27 Default Arguments in Matlab Functions (varargin and nargin)
  • Default arguments using 'varargin' and 'nargin'.
 https://youtu.be/NF71HPAB2W0
Matlab28 MATLAB Error: All ‘cdata’ fields in FRAMES must be the same size – Solved!
  • Fixing animation frames using axis.
  • Fixing animation frames using MakeMovieVectorFramesSameSize.
 https://youtu.be/zL14nUmyhF8
Microsoft PowerPoint
PowerPoint01 Embedding vs Linking to Movies in PowerPoint
  • The benefits of linking vs. embedding a movie in a presentation.
 https://youtu.be/PmbzzdrJIMU
Microsoft Word
Word01 Automatic Cross References in Microsoft Word
  • Captions for figures, tables, etc. that automatically update.
 https://youtu.be/RLWe8dZeuEs
Word02 Create an Automatic Bibliography in Microsoft Word
  • Generating a bibliography and citation system that can be used across multiple documents.
  • Maintaining and using an external .xml file to contain references.
 https://youtu.be/uWQKSIuYAko
Perforce
Perforce01 Getting Started with Perforce and P4V
  • Version control concepts with Perforce.
  • Using P4V as a GUI to interact with Perforce.
  • Creating a workspace.
 https://youtu.be/Yvgxx2vwsRY
Perforce02 Basic Operations with Perforce
  • Creating a changelist.
  • Checking out files.
  • Modifying files.
  • Submitting files.
  • Workflow for using Perforce.
 https://youtu.be/_5_LK_0H22I
Perforce03 Modifying a Perforce Workspace
  • Adding depots/files to a workspace.
 https://youtu.be/m5huqed5uNc
Perforce04 Deleting a Perforce Workspace
  • Deleting a workspace.
  • Removing version controlled files from your computer.
 https://youtu.be/dHMXgDzV1Hc
Perforce05 Updating the License on a Perforce Server
  • Updating license file on Perforce server.
 https://youtu.be/sEkeHetYkv8
Perforce06 Adding and Deleting Users on a Perforce Server
  • Adding/deleting users.
 https://youtu.be/h9WCEvbu5JI
Perforce07 Creating and Initializing a New Perforce Depot
  • Creating a new depot on the server.
 https://youtu.be/pv4tvwghGCQ
Miscellaneous
Misc01 Unmanned Aerial System (UAS) Ground Control Station (GCS) in a Pelican Case
  • GCS in a Pelican Case.
  • UAS flight testing.
 https://youtu.be/NmMU7Hh6yos
Misc02 GPS Denied Navigation for Unmanned Aerial Systems Using Aviation Transponders
  • Flight testing a UAS in GPS-denied environments.
  • Executive summary of a UAS focused research project.
 https://youtu.be/hg-Xfn92KNE
Misc03 The Best Whiteboard Eraser
  • Mr. Clean Magic Erasers.
 https://youtu.be/f6DW3LKs89k
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