Dave's Web Corner

MTH-264 Week 1 (January 7-13)

• Outline
• Assessments
• Handouts
• Videos
• Technology

Outline

1.1 Modeling via Differential Equations

• recommended: 3, 4, 5, 6, 7, 8, 12, 14, 16, 17, 18, 21, 22
• what is a ...
  • ... differential equation?
  • ... first-order system?
  • ... initial value problem?
  • ... solution?
• analytic, qualitative and numerical methods
  • analytic - brute force solution, an explicit formula for the unknown function
  • qualitative - describing the behavior of solutions even without an explicit formula
  • numerical - approximating solutions to give insight into their behavior

1.2 Analytic Technique: Separation of Variables

• recommended: 1, 12, 13, 15, 20, 21, 30, 32, 34, 35, 36, 38, 39, 40, 41
• general and particular solutions
• explicit and implicit solutions
• verifying solutions
• manipulating constants and parameters
• domain and range of solutions

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, January 11: (none)
  • due Thursday, January 18: 1.1 - 1.2 -
  • due Thursday, January 25: 1.3 - 1.4 - 1.5 -
• 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
• Separable Equations
  • The MVPs of ODEs
  • Basic Separable Equation Examples
• Modeling
  • Logistic Growth Solution

Videos

• First Principles
  • The MVP of ODEs
  • Integrating Linear Factors
  • Verifying Implicit Solutions
  • Domain of a Solution
  • 1.2 - 13 alt
  • 1.2 - 35
  • Extracting Explicit from Implicit
  • Equilibrium Solutions
  • 1.3 - 15
• Mixing Problems
  • Setting up a Mixing Problem
  • Solving a Mixing Problem
  • Graphing a Mixing Problem
• all MTH-264 Videos (YouTube playlist)

Technology

• Communication
  • Zoom
  • Microsoft Lens
  • Apple Notes
  • Adobe Scan
  • Joining a Zoom Webinar
  • MTH-264 Assignments folder
• GeoGebra
  • GeoGebra
  • Exercise-01-01-18.ggb
  • Slope Fields.ggb
  • Autonomous and Integral Example.ggb
• Desmos
  • Exercise 1.1 #16
  • Exercise 1.2 #38 alt
• Mathematica
  • Illustrating the DSolve Command.nb
  • Slope Fields and Direction Fields.nb
  • Slope Fields and Solutions.nb
  • 264-mathematica-01-03-10-alt.nb
  • Logistic Growth with Harvesting.nb
  • Autonomous and Integral Equations.nb