1 / 70

Number derivatives: A treasure trove of student research projects

Number derivatives: A treasure trove of student research projects. Mike Krebs, Cal State LA. Based on joint work with:. Caleb Emmons, Pacific University. Anthony Shaheen , Cal State LA. (Product Rule). Number derivative : . Number derivative : . Questions:. Number derivative : .

asha
Download Presentation

Number derivatives: A treasure trove of student research projects

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Number derivatives: A treasure trove of student research projects Mike Krebs, Cal State LA Based on joint work with: Caleb Emmons, Pacific University Anthony Shaheen, Cal State LA

  2. (Product Rule)

  3. Number derivative:

  4. Number derivative: Questions:

  5. Number derivative: Questions: (A) Do they exist?

  6. Number derivative: Questions: (A) Do they exist? (2) What neat-o properties do they have?

  7. Number derivative: Questions: (A) Do they exist? (2) What neat-o properties do they have? (iii) Can we classify all of them?

  8. Number derivative: (A) Do they exist?

  9. Number derivative: (A) Do they exist?

  10. Number derivative: (A) Do they exist? BAWWWW

  11. Number derivative: (A) Do they exist? BAWWWW-RING

  12. Number derivative: (A’)Do any non-trivial number derivatives exist?

  13. Number derivative: (A’)Do any non-trivial number derivatives exist? Stay tuned . . .

  14. Number derivative:

  15. Number derivative: (2) What neat-o properties do they have?

  16. Number derivative: (2) What neat-o properties do they have?

  17. Number derivative: (2) What neat-o properties do they have?

  18. Number derivative: (2) What neat-o properties do they have?

  19. Number derivative: (2) What neat-o properties do they have?

  20. Number derivative: (2) What neat-o properties do they have?

  21. Number derivative: (2) What neat-o properties do they have?

  22. Number derivative: (2) What neat-o properties do they have?

  23. Number derivative: (2) What neat-o properties do they have?

  24. Number derivative: (2) What neat-o properties do they have?

  25. Number derivative: (2) What neat-o properties do they have? (Power Rule)

  26. Number derivative: (2) What neat-o properties do they have? (Power Rule)

  27. Number derivative: (2) What neat-o properties do they have?

  28. Number derivative: (2) What neat-o properties do they have?

  29. Number derivative: (2) What neat-o properties do they have? (by Fermat’s ) theorem

  30. Number derivative: (2) What neat-o properties do they have? (by Fermat’s ) theorem (by the Power Rule)

  31. Number derivative: (2) What neat-o properties do they have? (by Fermat’s ) theorem (by the Power Rule)

  32. Number derivative: (A’)Do any non-trivial number derivatives exist?

  33. Number derivative: (A’)Do any non-trivial number derivatives exist?

  34. Number derivative: (A’)Do any non-trivial number derivatives exist?

  35. Number derivative: (A’)Do any non-trivial number derivatives exist?

  36. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one.

  37. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one.

  38. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one.

  39. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s one. and so on . . .

  40. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  41. Number derivative: (A’)Do any non-trivial number derivatives exist?

  42. Number derivative: (A’)Do any non-trivial number derivatives exist?

  43. Number derivative: (A’)Do any non-trivial number derivatives exist?

  44. Number derivative: (A’)Do any non-trivial number derivatives exist?

  45. Number derivative: (A’)Do any non-trivial number derivatives exist?

  46. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  47. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  48. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

  49. Number derivative: (A’)Do any non-trivial number derivatives exist? Yes! For example, here’s an infinite family.

More Related