See Local Weather Conditions Math-305, Numerical Methods & Matrices See Local Weather Conditions
Dr. Kevin G. TeBeest
Summer 2015

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


    Friday, Sept. 25 (Week 11)
    10:00 a.m. to 12:00 noon     (published by Admin on Tuesday of Week 3)
    ROOM: AB 1-817

    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:      by Day and Time    |    by Course

    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. I expect you 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. You should have all electronic devices (phones, i-whatevers, MP3 players, ear-buds, etc.) completely 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. 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.

  5. 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.

  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 13
    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 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 13
    (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. (requires Acrobat Reader) July 15

  3. Section 0.7 – Polynomial Nested Form / Truncation Error. July 15

    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.

  4. Do all the examples in the second Maple tutorial entitled Solutions of Equations. July 17
    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 20

  6. Write the Maple code for the Bisection Method. July 21
    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. Read and work all the examples in the 8th Maple tutorial entitled Formatted Printing and Plot Options. July 22
    Then change your Maple code for the bisection method so that it uses formatted printing.
    From now on we will use the printf command for printing.

  8. Section 1.2(a) – False Position. July 24

  9. Section 1.3 – Newton's Method. July 27

  10. Program Assignment 1.   Due Monday, August 10 at 1:20.   (posted July 28)
    Read this document before beginning this assignment.
    • You should have the code for the bisection method and Assignment 6 successfully completed before you attempt this.
    • You should also study the pseudocode for false position (assignment 8) and use formatted printing as explained in Assignment 7.

  11. Section 1.5 – Fixed Point Method. July 28

  12. Section 1.5(b) – Fixed Point Method with Aitken Acceleration. July 29


  13. Section 3.2 – Newton-Gregory Interpolating Polynomials. August 5    (covered Monday–Tuesday)

  14. Do this example that shows how to use Maple to generate an interpolating polynomial through points. August 10

    You should rework Exam 1 immediately after it is returned. (Recall that a score below 64% is an F. See the course policy.)

  15. Sections 5.2 & 5.3 – Proper Integrals: Trapezoidal Rule and Simpson's Rules. August 12
    Note:   This is a running assignment — do the problems on this sheet as we cover the material.

  16. Write the Maple code for the trapezoidal rule. August 14
    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.

  17. Section 5.3:   Simpson's – 1/3 Rule. August 14
    We began this friday. I will finish it on do examples on Monday.

  18. Section 5.3:   Simpson's – 3/8 Rule. August 18

    Recall that Assignment 15 is a running assignment.

  19. Program Assignment 2.   Due Friday, August 28 (Week 7).   (Posted Wed., Aug.19)
    You should have the trapezoidal rule code (see Assignment 16) running properly before you attempt this program assignment.
    Read this document before beginning this assignment.

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

  21. Section 5.6 – Gauss Quadrature. August 19

  22. Section 5.1 – Numerical Differentiation. August 26

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

    Start reading Chapter 6.

  23. Chapter 6 – Numerical Solutions of ODEs. August 31    This is a running assignment.

    BEWARE:    The math faculty have observed that during the final 3 to 4 weeks of a term, many students have a tendency 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 the final exam (indicating that they did not do the assigned homework), and they end up seriously 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.

  24. Write this Maple code for Euler's Method. September 1
    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.

  25. Review the Maple tutorial entitled Formatted Printing and Plot Options. September 1

    Don't forget that Assignment 23 is a running assignment.

  26. Turn your Maple code for the Euler method (see Assignment 26) into the code for:
    1. the modified Euler method, and
    2. the classical Runge–Kutta method.
    September 2

  27. Section 6.3: Runge-Kutta-Fehlberg and Runge-Kutta-Verner Methods. September 8

  28. Additional Programs for Solving IVPs. September 8

  29. Program Assignment 3.   Due Friday, September 18 (Week 10).   (Posted Tues., Sept. 8)
    You should have the code for the Euler method (see Assignment 24) 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.

    Start reading Section 2.1.

  30. Section 2.1 – Matrix Introduction. September 11

  31. Section 2.2 – Gauss Elimination. September 15

  32. Section 2.2(b) – LU Decomposition. September 16

  33. Read and do these Maple examples for solving a system of linear equations. September 16

  34. Determinants and Existence–Uniqueness of Solutions. September 18

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

  35. Section 2.2(d) – Homogeneous Systems. September 21

  36. Section 2.3 – Matrix Inversion. September 21

  37. Section 2.3(b) – Determinants and Singular Matrices. September 21

  38. Section 2.4 – Vector & Matrix Norms. September 22

  39. Section 2.4(c) – Residuals, Condition Number, and Ill-Conditioned Matrices. September 22

    Click here for more details and to view the crib sheet I will give you during the exam.


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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