Math-305, Numerical Methods & Matrices
Dr. Kevin G. TeBeest
Winter 2025 






  
      
      
         Course Policy

  
  
      
      
         Dr. TeBeest's Schedule
  




  
      
      
         Abbreviations and Math Notation

  
  
      
      Maple Tutorials
  




  
      
      
         Rules Regarding Programming Projects

  
      
      
         Journal Format Guidelines

  




  
      
      
         Course Syllabus
  
                           
      
      
         Developing Good Study Habits
  




  
     
     
        Accessing Kettering's Cloud (and Maple) via the
        Citrix Receiver
  

                               


   
   

     
     ANNOUNCEMENTS
     

     YOU ARE EXPECTED TO CHECK THE ANNOUNCEMENTS DAILY.
     
   






    




















  1. 

Work on forming your teams of 4 as soon as possible (for the Programming
(Coding) Assignments).



    









  2.  I expect you to review your lecture notes before each lecture.

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

    


  3. 

All electronic devices (phones, ear-buds, etc.) must be turned off and
stowed before coming to class.

    Recording and photographic 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.  You say we should check the
course web site daily for assignments and announcements. When is the best
time of day to check the web site so that we don't have to check it several
times throughout the day?
    
I will usually have new assignments or new announcements posted by
4:00pm.    

    











  6. I strongly encourage you to study with "study buddies."
(However, you are NOT allowed to work on program (coding) assignments
with members of other teams.)

    


  7.  How much should a college student study?

    


  8.  THIS IS A MUST READ!  

Test Anxiety: The Importance of Sleep for Your Brain

    













 
























Assignments:




    



  1.  Do all the examples in the first Maple tutorial entitled

Basics.
Jan. 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 and tutorials 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 and
on the "KU Cloud" (Citrux Receiver).

    




  2.  Watch this
Maple Video Tutorial 1
and work through every example in a Maple session.
Jan. 13

    


  3.  Do these problems on truncation
error. (pdf document)
Jan. 17

    



  4.  Section 0.7 – Polynomial
Nested Form / Truncation Error.
Jan. 17

    






  5. Watch this
Maple Video Tutorial 2
over functions v. expressions, and work
through every example in a Maple session.
Jan. 21

    


  6.  Section 1.1 – Bisection Method.
Jan. 21

    

Please form
teams of 4 for working the Programming Assignments.

    Your team may include students from either
of my two sections of MATH-305.
    

    



  7.  Watch this
Maple Video Tutorial 3
and work through every example in a Maple session.

    It is very important that you work through these tutorials!
They prepare you for the Program Assignments.
    
Jan. 21

    


  8.  Write this Maple code
for the Bisection Method.
Jan. 24

    
NOTE:    DO NOT COPY AND PASTE the commands into a Maple
session!
Doing so will introduce hidden control characters into the Maple
session and it will produce errors!
    
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.

    


  9. After getting the Maple code for the bisection method to run correctly,
read and work through ALL the examples in the Maple tutorial entitled
    
Formatted Printing
and Plot Options. ESPECIALLY STUDY how to do formatted printing;
i.e., how to use the printf command.
Jan. 24

    


  10. Do
this assignment
immediately after completing the previous assignment.
Jan. 24

    


  11. See these examples of
Bad Tables.
Explain why these tables are bad.
(Would you give these tables to your supervisor at work or include them in your thesis?)

Jan. 24

    





  12.  Section 1.2(a) – False Position.
Jan. 26

    



  13.  Section 1.3 – Newton's Method.
Jan. 28

    


  14.  Do all the examples in the second Maple tutorial entitled
Solutions of Equations.
Jan. 28

    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 program (coding) assignments.

    


  15.  Section 1.5 – Fixed Point Method.
Jan. 28

    




  16.  Watch this
Maple Video Tutorial 4: Part-I
and work through it in a Maple session.

    It is very important that you work through these tutorials!
They prepare you for the Program Assignments.
    
Jan. 29

    


  17.  Section 1.5(b) –
Fixed Point Method with Aitken Acceleration.
Jan. 30

    


  18.  Watch this
Maple Video Tutorial 4: Part-II
and work through it in a Maple session.

    It is very important that you work through these tutorials!
They prepare you for the Program Assignments.
    
Jan. 30

    


Because our class meets in 2-hour sessions, most days will have multiple assignments.


    


EXAM 1 CONTENT ENDS HERE. . .



    
Here is the Crib Sheet
that I will provide you during the exam.

    
It may include anything from Assignment 1 through 18.
    
Read this for helpful
info about the exam.
See more exam information here >>.


    



    

    






    

    

    

    



EXAM 2 CONTENT BEGINS HERE. . .



    




  19.  Section 3.1 – Binomial Coefficients and Differences.
Feb. 7


    


  20.  Section 3.2 – Newton-Gregory Interpolation.
Feb. 7

    



  21.  Determine the  Optimal Interpolation
Degree.
Feb. 11

    




  22.  Sections 5.2 & 5.3 – Proper Integrals:
Trapezoidal Rule and Simpson's Rules.
Feb. 14

    
Note:   This is a running assignment — do the problems on
this sheet as we cover the material.
    
ALWAYS rework my examples successfully by yourself BEFORE attempting the assignments.
    

    


  23.  Write the Maple code for the trapezoidal rule.
Feb. 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.

    


  24.  Section 5.3:   Simpson's – 1/3 Rule.
Feb. 14

    


  25.  Do all the examples in the third
Maple Tutorial entitled
Derivatives and Integrals.
Feb. 18

    


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

    














 























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.