See Local Weather Conditions Math-305, Numerical Methods & Matrices See Local Weather Conditions
Dr. Kevin G. TeBeest
Summer 2016

Course Policy Dr. TeBeest's Schedule
Rules Regarding Programming Projects Maple Tutorials
Comments about Final Exams Journal Format Guidelines
Course Syllabus Developing Good Study Habits
Accessing Kettering's Cloud (and Maple) via the Citrix Receiver


  1. FINAL EXAM:   Mark your calendars IMMEDIATELY!   (published by Admin and posted here Monday of Week 4)
    Friday, Sept. 23 (Week 11)
    10:00 a.m. to 12p.m. noon
    ROOM:  AB 2-907

    The final exam may include anything from Assignment 13 to the end of the course.
    Click here for information about our final exam. Includes the crib sheet I will give you during the exam.

    Click here for      Kettering's Final Exam Schedules.

    NOTE: University policy states that is your responsibility to check for scheduling conflicts with other final exams immediately. If you have a scheduling conflict please resolve it immediately per university policy here. However, if another instructor reschedules one of your final exams and causes a scheduling conflict, then it is that instructor's responsibility to resolve the conflict.

  2. You are expected to review your lecture notes before each lecture. (For example, when I ask specific questions about the previous lecture, you should be able to answer them without looking at your notes.)

  3. All electronic devices (phones, computers, ear-buds, etc.) must be turned off and stowed before coming to class.
    Recording devices are strictly prohibited. Using electronic devices during class without my permission may result in their being confiscated and in academic discipline.

  4. Does anyone other than university students and university faculty use Maple?   (I do not receive compensation from MapleSoft.)
    See News Article 1 >>
    See News Article 2 >>

  5. Although I teach multiple sections of MATH-305, university policy requires that you attend only the section for which you are registered. Consequently, you may not "float" from one section to another as a matter of convenience.

  6. If you miss a class, please obtain copies of the lecture notes from a classmate.

  7. I strongly encourage you to study with "study buddies." (On projects, however, you are NOT allowed to work with members of other teams.)

  8. How much should a college student study?



  1. Do all the examples in the first Maple tutorial entitled Basics. July 11
    1. Do not use the shortcut menu buttons in the left panel of Maple. Rather, manually type the commands as they appear in the Maple examples.
    2. You should work all assigned Maple examples immediately after they are posted to help you prepare for the programming assignments.
    3. There may be Maple related questions on exams (see the course policy).

    Kettering has made Maple amply available on many PCs throughout the AB.

    Read Sections 0.1, 0.4, and 0.6. July 11
    (Because you should always read sections as we cover the material, normally I do not post reading assignments.)

  2. Do this problem on truncation error. (pdf document) July 12

    To expedite my taking attendance each day, please note the desk you sit in on Wednesday of Week 1. I will have you sit at that desk the remainder of the term.

  3. Section 0.7 – Polynomials:  Nested Form (Horner's Method). July 13

    Since the use of Maple is required in this course, you should be finished with Assignment 1 by now.

    Recall that you should be forming your teams of 4 for working the Programming Assignments.
    (No more than 4 per team.) Your team may include students from either of my two sections.

    Read Section 1.1 on the Bisection Method (Interval Halving).

  4. Do all the examples in the second Maple tutorial entitled Solutions of Equations. July 15
    You should complete Assignment 1 before doing this one. Remember that these assignments will
    acquaint (or reacquaint) you with Maple and prepare you for the programming assignments.

  5. Section 1.1 – Bisection Method. July 18

    Finish forming your teams of 4 as soon as possible (for the Programming Assignments).
    I will give you until 1:20 Wednesday to form your teams. After that I may shuffle members around as I see fit. Each team should have 4 members and may include students from any of my 2 sections of MATH-305.

  6. Write the Maple code for the Bisection Method. July 19
    NOTE: Do this immediately, and play with the code by changing the starting interval, the tolerance, even the function.
    You will use this code as the template for writing the codes for other methods and for our first programming assignment.

  7. Afer writing the Maple code for the bisection method, read and work through all the examples in the 8th Maple tutorial entitled Formatted Printing and Plot Options. July 20
    Then change your Maple code for the bisection method so that it uses formatted printing and prints
    each xm in decimal form showing 8 decimal places, f(xm) in scientific notation showing 6 decimal places,
    and the interval length in scientific notation showing 4 decimal places.
    From now on we will use the printf command for printing.

  8. Section 1.2(a) – False Position. July 20

  9. Section 1.3 – Newton's Method. July 22

  10. Program Assignment 1.   Due Wed., Aug. 3 at 1:20.   (posted and handed out July 22)
    Read this document before beginning this assignment.
    • You should have Assignments 6 & 7 successfully completed before you attempt this.
    • You should also study the pseudocode for Newton's method (Assignment 9) and use formatted printing as explained in Assignment 7.
    • Here are some of the results you should obtain in Part I. Do NOT proceed until Part I works correctly.

  11. Section 1.5 – Fixed Point Method. July 25

  12. Section 1.5(b) – Fixed Point Method with Aitken Acceleration. July 26



    Click here for more details.

  13. Section 3.2 – Newton-Gregory Interpolating Polynomials. August 1

    Here are some of the results you should obtain in Part I of Program Assignment 1.
    Do NOT proceed until Part I works correctly.

    You should rework Exam 1 immediately to learn from your errors.

  14. Determine the Optimal Interpolation Degree. August 3

  15. Do this example that shows how to use Maple to generate an interpolating polynomial through points. August 8

  16. Sections 5.2 & 5.3 – Proper Integrals: Trapezoidal Rule and Simpson's Rules. August 8
    Note:   This is a running assignment — do the problems on this sheet as we cover the material.

  17. Write the Maple code for the trapezoidal rule. August 10
    NOTE: Do this immediately, and play with the code by changing the number of subintervals, the limits of integration, even the integrand f(x).
    You will use this code as the template (model) for writing the codes for other methods and for the second programming assignment.

  18. Section 5.3:   Simpson's – 1/3 Rule. August 10

    Recall that Assignment 16 is a running assignment.

  19. Do all the examples in the third Maple Tutorial entitled Derivatives and Integrals. August 12

  20. Section 5.3:   Simpson's – 3/8 Rule. August 12

  21. Program Assignment 2.   Due Wednesday, Aug. 24 (Week 7).   (Posted and emailed Sat. morning, Aug. 13)
    You should have the trapezoidal rule code (see Assignment 17) running properly before you attempt this program assignment.
    Read this document before beginning this assignment.

  22. Section 5.6 – Gauss Quadrature. August 16

  23. Section 5.1 – Numerical Differentiation. August 23

    You should rework Exam 2 immediately after it is returned. (Recall that a score below 64% is failing. See the course policy.)
    I will post updated estimates of your midterm course grade on BannerWeb on Thursday.

    Start reading Chapter 6.

  24. Chapter 6 – Numerical Solutions of ODEs. August 29    This is a running assignment.

  25. Chapter 6 (a) – Implicit Euler Method. August 29

    BEWARE:    The math faculty regularly observe that during the final 3 to 4 weeks of a term, many students tend to: 1) skip class more, and 2) let their studies in math courses slide as they complete term projects or term papers in other courses. Be careful not to do that! I often see students leave entire pages blank on our final exam (because they did not do the assigned homework), and they end up significantly lowering their course grade. Remember that the final exam is worth 30% of the course grade, so make sure you continue to study and do all the assigned homework. Also, realize that one purpose of a final exam is so you can show that you have mastered a concept that you might have scored poorly on in one of the exams. So view the final exam as an opportunity to raise rather than lower your course grade.

  26. Write this Maple code for Euler's Method. August 30
    NOTE: Do this immediately, and play with the code by changing the nodal stepsize, the interval endpoints, the IC, even the ODE.
    Use it to check your work on some of the homework problems. You will use this code as the template (model) for writing the codes for other methods and for the third project.

    Review the Maple tutorial entitled Formatted Printing and Plot Options.

  27. Do Problem 2 of Assignment 24. August 31

  28. Do Problem 3 of Assignment 24. August 31

  29. Do Problem 4 of Assignment 24. September 6

  30. Do Problem 5 of Assignment 24. September 7

  31. Program Assignment 3.   Due Friday, September 16 (Week 10).   (Posted Wed., Sept. 7)
    You should have the code for the Euler method (see Assignment 26) running properly before you attempt this program assignment.
    Read this document before beginning this assignment.

    See SOME of the results for the sample problem in Part I.

  32. Additional Programs for Solving IVPs. September 9

  33. Section 6.3: Runge-Kutta-Fehlberg and Runge-Kutta-Verner Methods. September 9

    Start reading Section 2.1.

  34. Section 2.1 – Matrix Introduction. September 12

  35. Section 2.2 – Gauss Elimination. September 13
    On Wednesday I will finish the example I started on Tuesday. (You could actually finish it yourself as there is little left to do.)

  36. Section 2.2(b) – LU Decomposition. September 14

  37. Read and do these Maple examples for solving a system of linear equations. June 9

  38. Section 2.2(c) – Determinants and Existence–Uniqueness of Solutions. September 14

    Have you read the information about our final exam under the Announcements at the top of this web page?

  39. Section 2.2(d) – Homogeneous Systems. September 16

  40. Section 2.3 – Matrix Inversion. September 20

Facie (noun)   \'fā • cē,    'fay • see\    pl. facies   \'fā • cēz,    'fay • seez\ :
  1. an image of one's face taken by oneself or by another person using a digital camera or phone,
    especially for posting on social networking sites or smartphones for personal identification.
  2. a photo ID showing only the face.
First Known Use of FACIE – 16:34 UTC, October 12, 2014 by Kevin G. TeBeest, Michigan USA
Formerly:   "profile photo" (archaic)
Usage:  Professor TeBeest sent a photo of himself playing his drums to his brother who wanted a photo ID for his smartphone. The brother whined saying, "Send me a photo of your ugly face you stupid. . .!" So Professor TeBeest sent his brother a facie.
Etymology:  French façade ("a false, superficial, or artificial appearance or effect," Merriam–Webster); Italian facciata, a derivative of faccia ("front"), from Latin facies ("face");
Geographical Use:  worldwide
Not to be confused with selfie, which is a photo taken by oneself of ones own body or part of the body, usually due to vanity.
The photo on a driving license is an example of a facie, although it is not a selfie.


Remember that:

  1. You are responsible for successfully completing all assigned problems in all your courses.
  2. The exams may include problems similar to these assignments and lecture examples and may include questions about Maple.
  3. We must maintain a steady pace to cover the material that constitutes Math-305. If you have difficulty with a section, be sure to see me for help immediately.
  4. No matter how simple a topic appears when you see my examples or read the text, you will almost certainly have difficulty completing an exam if you do not practice the examples and do the assignments beforehand.

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