See Local Weather Conditions Math-203, Multivariate Calculus See Local Weather Conditions
Dr. K. G. TeBeest
Fall 2014

Course Policy Dr. TeBeest's Schedule
Comments about Final Exams Maple Tutorials
Journal Format Guidelines Developing Good Study Habits
Stuff You Must Know before MATH-203 Course Syllabus


  1. FINAL EXAM:    This reflects a time and room change. Please mark your calendars IMMEDIATELY!
    DAY:  Thursday, Dec. 18 (Week 11)
    NEW TIME:    1:00 p.m. to 3:00 p.m.
    NEW ROOM:   AB 2–225

    The final exam is comprehensive (may include anything we covered in class.
    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 it 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.

    READ THIS for more detailed information of what to expect on the final exam.


  1. Review Problems. October 6

  2. Do all the examples in the first Maple tutorial entitled Basics. October 6
    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 Maple assignments.
    3. There also may be Maple related questions on exams.

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

  3. Section 10.1 – Parametric Representations of Curves. October 8
    NOTE: I also posted examples there.

  4. Section 10.2 – Calculus with Parametric Curves. October 9
    I will finish this section on Friday, but you should do what you can asap.

  5. Do all the examples in the second Maple tutorial entitled Solutions of Equations. October 10
    You should complete Assignment 2 before doing this. Remember that these assignments will acquaint (or reacquaint) you with Maple and prepare you for the Maple assignments.

  6. Section 10.3 – Polar Coordinates. October 13

    Happy Columbus Day!

  7. Do all the examples in the second Maple tutorial entitled Solutions of Equations. October 16

  8. Section 10.4 – Areas in Polar Coordinates. October 17

  9. Section 12.1 – 3-D Cartesian (Rectangular) Coordinates. October 17

  10. Maple Assignment 1.    posted Oct. 19

  11. Section 12.2 – Vectors in 2-D and 3-D Cartesian (Rectangular) Coordinates. October 22

  12. Section 12.3 – Dot Product & Projections. October 24

  13. Section 12.4 – Cross Product. October 27

  14. Section 12.5 – Lines & Planes. October 29

    I've added these two documents summarizing the vector products and their properties:

  15. Section 10.5 – Conic Sections. October 31

  16. Section 12.6 – Cylinders & Quadric Surfaces. November 5

  17. Section 14.1 – Functions of Several Variables. November 10    (covered on Friday)

  18. Section 14.3 – Partial Derivatives. November 12

  19. Supplemental Problems on Partial Derivatives. November 13

  20. Section 14.4 – Tangent Planes & Approximations. November 13

  21. Section 14.5 – Chain Rule. November 14

  22. Section 14.6 – Gradient & Directional Derivatives. November 17

  23. Maple Assignment 2 – Due at 10:15 on Wednesday, Nov. 26.   (posted Nov. 17)

  24. Section 14.7 – Maxima & Minima (Local Extrema). November 24

  25. Read Section 15.1.   November 24

  26. Section 15.2 – Iterated Integrals. November 25

  27. Section 15.3 – Double Integrals over General Regions. December 1

  28. Section 15.5 – Applications of Double Integrals. December 3

  29. Section 15.4 – Double Integrals in Polar Coordinates. December 5
    Now also work problems 11, 13, 14, 23 from Section 15.5 (using polar coordinates).

  30. Section 15.7 – Triple Integrals.  (covered Mon & Wed)  December 11

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

  31. Section 15.8 – Triple Integrals in Cylindrical Coordinates. December 12

  32. Section 15.9 – Triple Integrals in Spherical Coordinates . December 16


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 one's own body or part of the body, usually due to vanity.
The photo on your state driving license is an example of a facie.

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-203. 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.
Tutors are available in the SARC (AB 3-341) and at various other places and times.

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