Notes on Diffy Qs

Educator Edition

Textbook
Pair this course with Notes on Diffy Qs: Differential Equations for Engineers or a differential equations textbook of your choice.

Overview 

This course is designed to be a companion to Notes on Diffy Qs: Differential Equations for Engineers and was prepared by the book's author, Jiri LeblThe problem sets map contain over 310 interactive, algorithmic problems and map directly to textbook sections.

Edfinity is a full-featured homework system that supports mathematically aware problems with algebraic input, evaluation of mathematical expressions, and randomized variants for personalized learning. Use this problem series as-is, or mix-and-match with other series or your own problems as desired. Edfinity gives you complete control over every aspect of students' online assessment experience.

How to use this course 

  • Develop problem-solving skills: Use the problem sets to help students develop problem-solving skills. Save hours of grading time. 
  • Flip your classroom: Have students work on assignments ahead of class to master the basics and save precious class time for discussions and difficult problems.
  • Make your own tests and quizzes: Edfinity’s flexible assignment templates allow you to create timed quizzes and tests in minutes. Assessments are auto-scored and provide summary statistics and analytics on student outcomes 
  • Remix problems: Select problem sets of your choice. Find more problems in the Edfinity repository, or create your own. 

WeBWorK

This course includes algorithmic WeBWorK problems, with support for randomized variants, algebraic expressions, and mathematical objects such as vectors, matrices, intervals, and complex numbers.

Problem Sets

  1. Edfinity Demo
  2. Sec 0.2: Introduction to differential equations
  3. Sec 0.3: Classification of differential equations
  4. Sec 1.1: Integrals as solutions
  5. Sec 1.2: Slope fields
  6. Sec 1.3: Separable equations
  7. Sec 1.4: Linear equations and the integrating factor
  8. Sec 1.5: Substitution
  9. Sec 1.6: Autonomous equations
  10. Sec 1.7: Numerical methods: Euler's method
  11. Sec 1.8: Exact equations
  12. Sec 2.1: Second order linear ODEs
  13. Sec 2.2: Constant coefficient second order linear ODEs
  14. Sec 2.3: Higher order linear ODEs
  15. Sec 2.4: Mechanical vibrations
  16. Sec 2.5: Nonhomogeneous equations
  17. Sec 2.6: Forced oscillations and resonance
  18. Sec 3.1: Introduction to systems of ODEs
  19. Sec 3.2: Matrices and linear systems
  20. Sec 3.3: Linear systems of ODEs
  21. Sec 3.4: Eigenvalue method
  22. Sec 3.5: Two dimensional systems and their vector fields
  23. Sec 3.6: Second order systems and applications
  24. Sec 3.7: Multiple eigenvalues
  25. Sec 3.8: Matrix exponentials
  26. Sec 3.9: Nonhomogeneous systems
  27. Sec 6.1: The Laplace transform
  28. Sec 6.2: Transforms of derivatives and ODEs
  29. Sec 6.3: Convolution
  30. Sec 6.4: Dirac delta and impulse response
  31. Sec 7.1: Power series
  32. Sec 7.2: Series solutions of linear second order ODEs
  33. Sec 7.3: Singular points and the method of Frobenius
  34. Sec 8.1: Linearization, critical points, and equilibria
  35. Sec 8.2: Stability and classification of isolated critical points
  36. Sec 8.3: Applications of nonlinear systems
  37. Sec 8.4: Limit cycles

License

This is a multi-student, educator license. You will be able to manage an online course with your students, and monitor their progress.

Price: FREE

Contributors

Jiri Lebl
Oklahoma State University
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