Math-328, Methods of Applied Mathematics
Dr. Kevin G. TeBeest
Spring 2021



Course Policy * Read immediately! Dr. TeBeest's Schedule
Mathematical Writing Style * Read immediately! Maple Help Sheets
ANNOUNCEMENTS
  1. I expect you to review the previous day's (sometimes days') lecture notes before each lecture.

  2. On all assignments, be sure to follow the rules for proper Mathematical Writing Style.
    If you use software (Maple, Matlab, etc.), be sure to print all such worksheets and include them when you submit your homework.

  3. If you are interested in purchasing the student version of Maple at a discounted price for your personal computer, please email me for the necessary information. Only students registered for my course qualify.

  4. How much should a college student study?

  5. It is important that you start homework immediately and complete it promptly.

  6. If you have difficulty with a topic or an assigned problem, you should take it upon yourself to seek my help and not put it off.

 



Assignments:



  1. If you need to review Maple, read through and do all the examples in the first Maple Tutorial entitled Basics.
    Also read and do the Maple example for Approximating a Zero of a Function. April 6

  2. Study and work all examples in the Maple tutorial Formatted Printing and Plot Options. April 6

    NOTE:  In advanced courses, you should first work your solution to completion on scratch paper. Then re-write your steps (everything) neatly, systematically, and clearly on ruled paper for possible submission. I.e., at this time in your academic career your write-ups should be well-written and complete enough for someone who is knowledgable of the subject to be able to read and understand your steps without struggling to understand them or having to mentally fill in missing steps. See the document Mathematical Writing Style. Use correct mathematical notation at ALL times.

  3. Due Monday, April 12 3:30pm. Upload your scanned pages to Bb under Week 1. Dimensional Logistic Model. April 6

  4. Dimensional Analysis – Supersonic Duct Flow. Due Tuesday, April 13 at 3:30. Upload your scanned pages to Bb under Week 1. April 8

  5. Section 1.2 – Scaling and Non-dimensionalization. April 9

  6. Section 1.1 Part I – Dimensional Analysis. April 19

  7. Work through the examples in the 7th Maple Tutorial entitled Matrix Algebra/Linear Systems.
    Also work through these Maple examples. April 19

  8. Section 1.1 Part II – Dimensional Analysis and the Pi Theorem. April 20
    Do Assignment 6 first, however.

  9. Section 4.1 – Variational Problems. May 3

  10. Section 4.3 – The Simplest Problem in Calculus of Variations. May 17

  11. Section 4.4 – Higher Order Functionals. May 17

  12. Section 4.4 – Natural Boundary Conditions (Undetermined Endpoints). May 17

  13. Section 4.4 – Several Functions. May 25

  14. Section 4.6 – Isoperimetric Problems. May 25

  15. Section 4.5 – Hamilton's Principle. June 3

  16. Section 4.5 – Confirm the following from the lecture. June 3

  17. Section 3.1.4 Part III – Big O and Little o. June 11