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


  1. Here are the corrected results for the sample problem in Part I.

    Thursday, March 26 (Week 11)
    1:00 to 3:00 p.m.
        (posted here Wed. of Week 5, Feb. 11)
    ROOM: AB 4-102 (our normal classroom)
    The final exam may include anything from Assignment 12 to the end of the course. See below.

    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 Schedule by Date and Time.
    Click here for Kettering's Final Exam Schedule 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.

  3. I strongly encourage you to work with "study buddies."

  4. 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.)

  5. 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.

  6. 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 >>

  7. Kettering University has a site (on-campus) license that makes Maple available on most PCs and workstations on campus.

  8. If you miss a class, you should obtain copies of the lecture notes from a classmate.

  9. How much should a college student study?


Assignments will be posted below AS we cover the material.

  1. Do all the examples in the first Maple tutorial entitled Basics. January 12
    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. January 12
    (Because you should always read sections as we cover the material, normally I do not post reading assignments.)

    Recall that you should be forming your teams of 3 for working the Programming Assignments. (No more than 3 per team.)

  2. Section 0.7 – Polynomial Nested Form. January 14

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

    Read Sections 1.1 and 1.2. Also play with Maple.   January 14

  3. Section 1.1 – Bisection Method. January 16

  4. Write the Maple code for the Bisection Method. January 20
    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.

  5. Do all the examples in the 8th Maple tutorial entitled Formatted Printing and Plot Options. January 21
    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.

  6. Section 1.2(a) – False Position. January 21

  7. Do all the examples in the second Maple tutorial entitled Solutions of Equations. January 22
    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.

  8. Section 1.3 – Newton's Method. January 23

  9. Program Assignment 1.   Due Wednesday, Feb. 4 at the beginning of class.   (Posted Thursday, Jan. 22)
    Read this document before beginning this assignment.
    • You should have the code for the bisection method and Assignment 5 successfully completed before you attempt this.
    • You should also study the pseudocode for Newton's method (assignment 8) and use formatted printing as explained in Assignment 5.
    • Here are some of the results you should obtain in the first 4 iterations of Part I. Do NOT proceed until Part I works correctly.

  10. Section 1.5 – Fixed Point Method. January 26

  11. Section 1.5(b) – Fixed Point Method with Aitken Acceleration. December 27


    Click here for more details.

  12. Section 3.2 – Newton-Gregory Interpolating Polynomials. Feb. 4    (covered Wednesday, Friday, & Wednesday)

  13. Do this example that shows how to use Maple to generate an interpolating polynomial through points. February 6

    You should rework Exam 1 immediately after it is returned. (Recall that a score below 64% is an F. See the course policy.)
    The median score was 89%! (So half the class scored above 89 and half scored below 89.)
    See the grade distribution.

  14. Sections 5.2 & 5.3 – Proper Integrals: Trapezoidal Rule and Simpson's Rules. February 10
    Note:   This is a running assignment — do the problems on this sheet as we cover the material.

  15. Write the Maple code for the trapezoidal rule. February 12
    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.

  16. Section 5.3:   Simpson's – 1/3 Rule. February 13

  17. Section 5.3:   Simpson's – 3/8 Rule. February 13

    Recall that Assignment 15 is a running assignment.

  18. Do all the examples in the third Maple Tutorial entitled Derivatives and Integrals. February 16

  19. Section 5.6 – Gauss Quadrature. February 17

  20. Program Assignment 2 is posted on BlackBoard.   Due Monday, March 2 (Week 8).   (Posted Tues., Feb. 17)
    You should have the trapezoidal rule code (see Assignment 15) running properly before you attempt this program assignment.
    Read this document before beginning this assignment.
    Here are the abscissas and weights for the 6 point Gauss quadrature.

  21. Section 5.1 – Numerical Differentiation. February 20

  22. Chapter 6 (a) – Implicit Euler Method. February 25

  23. Chapter 6 – Numerical Solutions of ODEs. February 25    This is a running assignment.

  24. Write this Maple code for Euler's Method. March 2
    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.

    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 probably 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.

  25. Review the Maple tutorial entitled Formatted Printing and Plot Options. March 3

    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.
    March 4

  27. Section 6.3: Runge-Kutta-Fehlberg and Runge-Kutta-Verner Methods. March 4

  28. Additional Programs for Solving IVPs. March 4

  29. Program Assignment 3 is posted on Blackboard. Due Friday, March 20 (Week 10) at 10:15. Posted and emailed March 9.
    Also read this document Programming Requirements.
    See some of the results for the sample problem in Part I.   Corrected!

  30. Section 2.1 – Matrix Introduction. March 10

  31. Section 2.2 – Gauss Elimination. March 11

  32. Section 2.2(b) – LU Decomposition. March 13

    Here are the corrected results for the sample problem in Part I.

  33. Read and do these Maple examples for solving a system of linear equations. March 17

  34. Determinants and Existence–Uniqueness of Solutions. March 17

  35. Section 2.2(d) – Homogeneous Systems. March 18

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

  36. Section 2.3 – Matrix Inversion. March 20

  37. Section 2.3(b) – Determinants and Singular Matrices. March 20

  38. Section 2.4 – Vector & Matrix Norms. March 23

  39. Section 2.4(c) – Residuals, Condition Number, and Ill-Conditioned Matrices. March 24

    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 your state driving license is an example of a facie, although it is not a selfie.

Inform your friends and family! Let's make it go viral. Start using it in conversations and online and explain it when they ask you what it means. It's fun!


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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