Math-305, Numerical Methods & Matrices
Dr. Kevin G. TeBeest
Fall 2024 






  
      
      
         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:



    

    

Thursday, December 19 (Week 11)
    
7:30 a.m. to 9:30 a.m. (MORNING)
    
Room: AB 3-338
    
    

    

    
The final exam may include anything from Assignment 15 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.


    
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.

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

    


  3. 

All electronic devices (phones, computers, 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.  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 >>

    






  6.  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
1:00pm.    

    











  7. 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.)

    


  8.  How much should a college student study?

    


  9.  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.
October 7

      

    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 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.
Oct. 7

    


  3.  Do these problems on truncation
error. (pdf document)
October 10

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


    


Since the use of Maple is required in this course, you should be
finishing Assignments 1 and 2 by now.

Oct. 10

    

Are you recording your study time in your
Study Journal DAILY as required?

    





Maple Video Tutorial 2
over functions v. expressions, and work
through every example in a Maple session.
Oct. 11

    


  4.  Section 1.1 – Bisection Method.
Oct. 15

    

Please form
teams of 4 for working the Programming Assignments.

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

    



  5.  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. 17

    


  6.  Write the Maple code
for the Bisection Method.
Oct. 17

    
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.

    


  7.  Section 1.2(a) – False Position.
Oct. 18

    



  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. 21

    


After learning how to use the printf command correctly, then change your Maple
code for the bisection method so that it uses formatted printing
(printf)
and prints:

      

    •  the iteration number as an integer to 5 digits,

    •  each iterate xm in floating point (decimal) form showing 8 decimal places,

    •  f(xm) in scientific notation showing 6 decimal places, and

    •  the interval length in scientific notation showing 5 decimal places.

    

    

YOU CANNOT SIMPLY REPLACE 
lprint WITH
printf !
Doing so will not work.
    
If you have problems using
printf
on this assignment or on Program Assignment 1,
I WILL instruct you to carefully and thoroughly study this tutorial
and watch the video tutorials I posted!
    
They CLEARLY explain how to use
printf.

    
From now on we will use the 
printf command when printing output in 
table form.
    

    

See these examples of
Bad Tables.
Explain why these tables are bad.
(Would you give these tables to your supervisor at work?)


    






  9.  Section 1.3 – Newton's Method.
Oct. 21

    


  10.  Do all the examples in the second Maple tutorial entitled
Solutions of Equations.
Oct. 24

    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.

    




  11.  Section 1.5 – Fixed Point Method.
Oct. 24

    


  12.  Section 1.5(b) –
Fixed Point Method with Aitken Acceleration.
Oct. 24

    


  13.  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

    


  14.  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.
    
Oct. 25

    




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 14.
    
Read this for helpful
info about the exam.
See more exam information here >>.


    



    

    




    

    

    

    




THE FINAL EXAM CONTENT BEGINS
HERE. . .

    
Click here for more details.

    




  15.  Section 3.1 – Binomial Coefficients and Differences.
Oct. 29
    
This will NOT be on Exam 1, but it is a simple assignment that you might want
to do immediately while it is fresh. DEFINITELY do this assignment
BEFORE
Friday's lecture!

    






  16.  Section 3.2 – Newton-Gregory Interpolating
Polynomials.
Nov. 1 (begun early Week 4)

    


  17.  Determine the  Optimal Interpolation
Degree.
Nov. 1

    


  18. 
Program Assignment 1.  
Due Tuesday, Nov. 19 at 11:59 p.m. on Bb
   (posted on Bb under Week 1 and notified on Nov. 7)

    


Here are some of the

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


    


  19.  Do this example that shows how to use Maple to generate an
interpolating polynomial through
points.
Nov. 7

    



  20.  Sections 5.2 & 5.3 – Proper Integrals:
Trapezoidal Rule and Simpson's Rules.
Nov. 7

    
Note:   This is a running assignment — do the problems on
this sheet as we cover the material.

    


  21.  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.

    


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

    


  23.  Do all the examples in the third
Maple Tutorial entitled
Derivatives and Integrals.
Nov. 12

    


  24.  Section 5.3:   Simpson's – 3/8 Rule.
Nov. 12

    




  25.  Section 5.6 – Gauss Quadrature.
Nov. 15

    




  26.  Section 5.1 – Numeric Differentiation.
Nov. 22

    


  27.  Chapter 6 – Numerical Solutions of ODEs.
Nov. 26
   This is a running assignment.

    


Here are the answers to the 
Running Assignment.


    


  28. 
Program Assignment 2.  
Due Tuesday, Dec. 10 at 11:59 p.m. on Bb
   (posted on Bb under Week 1 and notified on Nov. 26)

    


  29.  Write this
Maple code for
Euler's Method.
Dec. 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.

    









  30.  Do Problem 2 of This Assignment.
Dec. 3

    



BEWARE:
   The math faculty regularly observe that during the final
3 weeks of a term, many students tend 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 our final exam (because
they did not do the assigned homework), and they end up significantly
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.


    



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

    


  32.  Do Problem 4 of This Assignment once the method is covered.
Dec. 5

    


  33.  Turn the
Explicit Euler code
(Assignment 29)
into the Modified Euler code.   (very easy)
Dec. 5

    


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

    




  35.  Section 6.3: Runge-Kutta-Fehlberg
and Runge-Kutta-Verner Methods.
Dec. 6

    


  36.  Section 6.3: Questions.
Dec. 6

    


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

    



  37.  Section 2.1 – Matrix Introduction.
Dec. 9

    




  38.  Section 2.2 – Gauss Elimination.
Dec. 13

    




  39.  Section 2.2(b) – LU Decomposition. 
Dec. 16

    
  

  40.  Section 2.2(c) – Determinants and
Existence–Uniqueness of Solutions.
Dec. 16

    


  41.  Section 2.2(d) – Homogeneous Systems.
Dec. 16

    



  42.  Section 2.3(b) – Determinants and
Singular Matrices.
Dec. 17

    



  43.  Section 2.3 – Matrix Inversion.
Dec. 17

    


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

    
Have you checked for scheduling conflicts with your other final exams?
    
    

    



THE FINAL EXAM CONTENT ENDS HERE.


    
Click here for detailed information about the    
final exam and for the crib sheet I will give you.


    















 























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.