Math-305, Numerical Methods & Matrices
Dr. Kevin G. TeBeest
Fall 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.  FINAL EXAM:

    

    

Saturday, Dec. 20 (Week 11)
    
10:00 a.m. to 12:00 noon
    
Room: AB 2-225
    
    

    

    
The final exam may include anything from Assignment 19 to the end of the course and
questions about Maple.

    
Click here for information about our final exam.
Includes the crib sheet I will give you during the exam.


    
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.

     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 both 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.  If you are interested in purchasing the student version of Maple
at a discounted price for your personal computer, please email me for the
necessary information. Only students registered for my MATH-305 course qualify.
(You are not required to purchase it.)

    




  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.
Oct. 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 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).

    4.  Your goal should be to have this completed by midnigth Saturday.

    

    
Maple is available on the KU Cloud using the Citrux Receiver.

    


  2.  Watch this
Maple Video Tutorial 1
and work through every example in a Maple session.
Oct. 6

    



  3.  Do these problems on truncation
error. (pdf document)
Oct. 9

    



  4.  Section 0.7 – Horner's Method / Truncation Error.
Oct. 10

    



Here is Slide Deck 03-Bisection B and W

    
Here is Slide Deck 03-Bisection Color

    






  5. Watch this
Maple Video Tutorial 2
over functions v. expressions, and work
through every example in a Maple session.
Oct. 14

    







  6.  Section 1.1 – Bisection Method.
Oct. 14

    

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.  Write this Maple code
for the Bisection Method.
Oct. 16

    
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.

    
  

  8. 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.
Oct. 16

    


  9. Do
this assignment on Maple's printf command
immediately after completing the previous assignment.
Oct. 17

    


  10.  Section 1.2 – False Position.
Oct. 17

    




  11.  Section 1.3 – Newton's Method.
Oct. 20

    



  12.  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.
    
Oct. 20

    


  13. 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?)

Oct. 20

    


  14.  Do all the examples in the second Maple tutorial entitled
Solutions of Equations.
Oct. 23

    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.
Oct. 23

    

Recall that the date indicates the day on which the assignment was posted. It is NOT a due date.
Complete the assigned homework immediately after successfully reworking the class examples
so that you do not start falling behind.

    
Also remember that you are required to record in your Study Journal DAILY.


    


  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.
    
Oct. 24

    


  17.  Section 1.5(b) –
Fixed Point Method with Aitken Acceleration.
Oct. 27

    


  18.  AFTER doing ALL the examples in Maple Video Tutorial 4 Part-I, do all the examples in
Maple Video Tutorial 4: Part-II.

    It is very important that you work through these tutorials!
They prepare you for the Program Assignments.
    
Oct. 27

    



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 >>.

    




    



    

    

    

    





THE FINAL EXAM CONTENT BEGINS
HERE. . .

    
Click here for more details.

    




  19.  Section 3.1 – Binomial Coefficients and Differences.
Oct. 30

    


  20.  Section 3.2 – Newton-Gregory Interpolation.
Nov. 3

    




  21.  Determine the  Optimal Interpolation
Degree.
Nov. 4

    


  22. 
Program Assignment 1.  
It is due Sunday, Nov. 16 at 11:59 p.m. on Bb
   (It was posted on Bb on Nov. 6 under Week 1, and students were notified on Nov. 6)

      

    • Here are some of the

results
you should obtain in Part I.
Do NOT proceed to Part II until Part I works correctly.

    •  You should have Assignments 7, 8, 9, 11, and all Maple video turorials successfully completed
before you attempt this assigment.

    •  You should also study the pseudocode for Newton's Method
(Assignment 11) and use formatted printing as explained in
Assignments 8 and 9.

    • Here is a picture of the
22° ice halo.

    

    


  23.  Do this example that shows how to use Maple to generate an
interpolating polynomial through
points.
Nov. 9

    


  24.  Sections 5.2 & 5.3 – Proper Integrals:
Trapezoidal Rule and Simpson's Rules.
Nov. 10

    
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.
    

    






  25.  Write the Maple code for the trapezoidal rule.
Nov. 11

    
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.

    


  26.  Section 5.3:   Simpson's – 1/3 Rule.
Nov. 11

    


  27.  Do all the examples in the third
Maple Tutorial entitled
Derivatives and Integrals.
Nov. 14

    


  28.  Section 5.3:   Simpson's – 3/8 Rule.
Nov. 14

    


  29.  Section 5.6 – Gauss Quadrature.
Nov. 17

    






  30.  Section 5.1 – Numeric Differentiation.
Nov. 23

    


  31.  Chapter 6 – Numerical Solutions of ODEs.
Dec. 2
   This is a running assignment.

    




  32.  Do Problem 2 of This Assignment. (Implicit Euler)
Dec. 4

    


Here are the answers to the
Running Assignment.


    


  33.  Write this
Maple code for
Euler's Method.
Dec. 5


    




  34.  Do Problem 3 of This Assignment once the method is covered.
Dec. 5

    


  35.  Do Problem 4 of This Assignment once the method is covered.
Dec. 8

    



  36.  Turn the
Explicit Euler code
(Assignment 31)
into the Modified Euler code.   (very easy)
Dec. 8

    



  37.  Do Problem 5 of This Assignment.
Dec. 8

    


  38.  Additional Programs for Solving IVPs.
Dec. 9

    


  39.  Section 6.3: Runge-Kutta-Fehlberg
and Runge-Kutta-Verner Methods.
Dec. 9

    


  40.  Section 6.3: Questions.
Dec. 9

    



Have you checked your final exam schedule? Info for our final exam is shown
at the top of this page.

    






  41.  Section 2.1 – Matrix Introduction.
Dec. 12

    














 























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.