Dave's Web Corner

MTH-264 Week 6 (February 11-17)

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

(weather cancelation)

• Delta College and all of its centers are closed. All in-person class sessions are cancelled.

Assessments

• Deadlines and File Submission
  • All assessments are due to our MTH-264 Assignments folder by 11:59pm on the date indicated.
  • No late assessments are accepted. If you have a conflict with a deadline, contact me before the deadline.
  • Solutions are posted under these links after the deadline.
• Homework
  • due Thursday, February 15: 2.2 - 2.3 - 2.4 - 2.5 -
  • due Thursday, February 22: (none)
  • due Thursday, February 29: 3.1 - 3.2 - 3.3 - 3.4 -
• Exams
  • due Thursday, February 22: Exam 1
    • Exam 1 (solutions)
    • Exam 1 covers sections 1.1-1.9, 2.1-2.5
    • Exam 1 will be released by 11:59pm on Thursday, February 15 and is due by 11:59pm on Thursday, February 22.

Handouts

• Announcements
  • Schmidt Award
  • Math Graduate Award
  • Honors Program introduction
  • Tutoring Center services
• Technology Tips
  • Download and Install Mathematica
  • Install DETools
  • TI-89 Slope Fields
  • TI-89 Direction Fields
• Euler's Method
  • Euler Practice (solution)
  • Euler System Practice (solution)
• First-Order Linear Equations
  • Undetermined Coefficients: Second Guess
• Second-Order Linear Equations
  • Second Order Linear Equations
  • Forced Damped Harmonic Oscillator Graphs
• Linear Systems
  • Introduction to Linear Systems
  • Eigenvectors
  • Constructing Eigenvectors
  • Comparing Second Order Equation to First Order System
  • Sink, Source, Saddle
  • Solution Independent of Complex Eigenvalue Choice
  • Spiral Sink, Spiral Source, Center
  • Almost Spiral Sink and Source
  • Sunburst Sink and Source
  • Equilibrium Line Sink and Source
  • Classification of Linear Systems
  • The Trace Determinant Plane
  • Linear Systems Practice
  • Families of Two-Dimensional Linear Systems

Videos

• First Order System Basics
  • Converting from Second Order Equation to First Order System
  • What is a Phase Portrait
  • Direction Field of a First Order System
  • Relating Solution Graphs in the xy- tx- and ty-Planes
  • Vector Notation for a First Order System
• Linear Systems: Basics
  • Matrices and Vectors
  • Matrix Multiplication
  • Trace and Determinant
  • The Characteristic Equation of a Matrix
  • Quadratic Formula Shortcut
  • A Formula of Euler
  • The Adjusted Matrix
• Linear Systems: Real, Non-zero Eigenvalues
  • Linearly Independent Solutions
  • General Solutions to a Linear System
  • Specific Solutions
  • Basic Eigenvalues and Eigenvectors
  • The Hooked Exponential
  • Straight Line Solutions
  • The Dominant Eigenvalue
  • Phase Portraits - Sink, Saddle, Source
  • The Five Major Cases Completed
• all MTH-264 Videos (YouTube playlist)

Technology

• Communication
  • Zoom
  • Microsoft Lens
  • Apple Notes
  • Adobe Scan
  • Joining a Zoom Webinar
  • MTH-264 Assignments folder
• Excel
  • Euler First-Order Equation.xlsx
  • Euler First-Order System.xlsx
  • Euler System Van-der-Pol-Equation.xlsx
• Mathematica
  • First Order Linear Systems.nb
  • First Order Systems.nb
  • Exercise-02-03-03.nb
  • Partially Decoupled Phase Portrait.nb
  • A Basic Partially Decoupled System.nb
  • The Swaying Skyscraper.nb
  • The VanderPol Equation.nb
  • SIR-model.nb
  • Discrete SIR-model.nb
  • StreamPlot[]-Coloring-Example.nb