Notes on Diffy Qs

Notes on Diffy Qs

Edfinity is supported by the National Science Foundation

About this Course

This is an online homework companion to Notes on Diffy Qs: Differential Equations for Engineers by Jiri Lebl. It comprises hundreds of algorithmic problems carefully organized into problem sets mapped to textbook sections. Use this course as-is, or customize at any level. You can mix-and-match problems from other catalog courses, add problems from the Edfinity problem repository, or write your own

How to use this course

  1. Homework: Assign high quality problems with hints and personalized feedback to develop problem-solving skills.
  2. Testing: Create summative secure online quizzes and tests in minutes. 
  3. Supplementary resources: Embed videos, class notes, and applets alongside assignments.
  4. Intervention: Use rich analytics to identify and monitor at-risk students for timely intervention.
  5. Analytics: Drill down into student performance and identify problematic or difficult topics.
  6. Flipped classroom: Assign pre-class assignments. Save precious class time for discussions.
  7. Emporium classes: Use Edfinity for individual/group work for large enrollment sections in labs.

Edfinity is a full-featured homework system that supports mathematically-aware problems with algebraic input, evaluation of mathematical expressions, randomized variants, prerequisite pathways for personalized learning, collaboration, coordinated courses, flexible configuration of students’ experience, and complete customization of assignments. Edfinity is WeBWorK-compatible - existing WeBWorK courses can be automatically imported, and you can author new WeBWorK problems using our problem authoring tool.

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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
  11. Sec 1.8: Exact equations
  12. Sec 1.9: First order linear PDE
  13. Sec 2.1: Second order linear ODEs
  14. Sec 2.2: Constant coefficient second order linear ODEs
  15. Sec 2.3: Higher order linear ODEs
  16. Sec 2.4: Mechanical vibrations
  17. Sec 2.5: Nonhomogeneous equations
  18. Sec 2.6: Forced oscillations and resonance
  19. Sec 3.1: Introduction to systems of ODEs
  20. Sec 3.2: Matrices and linear systems
  21. Sec 3.3: Linear systems of ODEs
  22. Sec 3.4: Eigenvalue method
  23. Sec 3.5: Two dimensional systems and their vector fields
  24. Sec 3.6: Second order systems and applications
  25. Sec 3.7: Multiple eigenvalues
  26. Sec 3.8: Matrix exponentials
  27. Sec 3.9: Nonhomogeneous systems
  28. Sec 4.10: Dirichlet problem in the circle and the Poisson kernel
  29. Sec 4.1: Boundary value problems
  30. Sec 4.2: The trigonometric series
  31. Sec 4.3: More on the Fourier series
  32. Sec 4.4: Sine and cosine series
  33. Sec 4.5: Applications of Fourier series
  34. Sec 4.6: PDEs, separation of variables, and the heat equation
  35. Sec 4.7: One dimensional wave equation
  36. Sec 4.8: D’Alembert solution of the wave equation
  37. Sec 4.9: Steady state temperature and the Laplacian
  38. Sec 5.1: Sturm-Liouville problems
  39. Sec 6.1: The Laplace transform
  40. Sec 6.2: Transforms of derivatives and ODEs
  41. Sec 6.3: Convolution
  42. Sec 6.4: Dirac delta and impulse response
  43. Sec 6.5: Solving PDEs with the Laplace transform
  44. Sec 7.1: Power series
  45. Sec 7.2: Series solutions of linear second order ODEs
  46. Sec 7.3: Singular points and the method of Frobenius
  47. Sec 8.1: Linearization, critical points, and equilibria
  48. Sec 8.2: Stability and classification of isolated critical points
  49. Sec 8.3: Applications of nonlinear systems
  50. Sec 8.4: Limit cycles
  51. Sec A.1: Vectors, mappings, and matrices
  52. Sec A.2: Matrix algebra
  53. Sec A.3: Elimination
  54. Sec A.4: Subspaces, dimension, and the kernel
  55. Sec A.5: Inner product and projections
  56. Sec A.6: Determinant


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