Assignments:
 Do all the examples in the first Maple tutorial entitled
Basics.
July 11
 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.
 You should work all assigned Maple examples immediately after
they are posted to help you prepare for the programming assignments.
 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.
July 11
(Because you should always read sections as we cover the material,
normally I do not post reading assignments.)
 Do this problem on truncation error. (pdf document)
July 12
To expedite my taking attendance each day, please note the desk you
sit in on Wednesday of Week 1. I will have you sit at that desk the
remainder of the term.
 Section 0.7 –
Polynomials: Nested Form (Horner's Method).
July 13
Since the use of Maple is required in this course, you should be
finished with Assignment 1 by now.
Recall that you should be forming your
teams of 4 for working the Programming Assignments.
(No more than 4 per team.) Your team may include students from either
of my two sections.
Read Section 1.1 on the Bisection Method (Interval Halving).
 Do all the examples in the second Maple tutorial entitled
Solutions of Equations.
July 15
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.
 Section 1.1 – Bisection Method.
July 18
Finish forming your teams of 4 as soon as possible (for
the Programming Assignments).
I will give you until 1:20 Wednesday to form your teams.
After that I may shuffle members around as I see fit.
Each team should have 4 members and may include students from any of my 2
sections of MATH305.
 Write the Maple code for the
Bisection Method.
July 19
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.
 Afer writing the Maple code for the bisection method, read and work through
all the examples in the 8th Maple tutorial entitled
Formatted Printing and Plot
Options.
July 20
Then change your Maple code for the bisection method so that it uses
formatted printing and prints
each xm in decimal form showing 8 decimal
places, f(xm) in scientific notation showing 6 decimal places, and the
interval length in scientific notation showing 4 decimal places.
From now on we will use the
printf command for printing.
 Section 1.2(a) – False Position.
July 20
 Section 1.3 – Newton's Method.
July 22

Program Assignment 1.
Due Wed., Aug. 3 at 1:20.
(posted and handed out July 22)
Read this
document before beginning this assignment.
 You should have Assignments 6 & 7 successfully completed before you
attempt this.
 You should also study the pseudocode for Newton's method
(Assignment 9) and use formatted printing as explained in
Assignment 7.
 Here are some of the results
you should obtain in Part I.
Do NOT proceed until Part I works correctly.
 Section 1.5 – Fixed Point Method.
July 25
 Section 1.5(b) – Fixed Point Method
with Aitken Acceleration.
July 26
EXAM 1 CONTENT ENDS HERE. . .
THE FINAL EXAM CONTENT BEGINS HERE. . .
Click here for more details.
 Section 3.2 – NewtonGregory Interpolating
Polynomials.
August 1
Here are some of the results
you should obtain in Part I of Program Assignment 1.
Do NOT proceed until Part I works correctly.
You should rework Exam 1 immediately to learn from your errors.
 Determine the Optimal Interpolation
Degree.
August 3
 Do this example that shows how to use Maple to generate an
interpolating polynomial through
points.
August 8
 Sections 5.2 & 5.3 – Proper Integrals:
Trapezoidal Rule and Simpson's Rules.
August 8
Note: This is a running assignment — do the problems on
this sheet as we cover the material.
 Write the Maple code for the trapezoidal rule.
August 10
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.
 Section 5.3: Simpson's – 1/3 Rule.
August 10
Recall that Assignment 16 is a running assignment.
 Do all the examples in the third
Maple Tutorial entitled
Derivatives and Integrals.
August 12
 Section 5.3: Simpson's – 3/8 Rule.
August 12

Program Assignment 2.
Due Wednesday, Aug. 24 (Week 7).
(Posted and emailed Sat. morning, Aug. 13)
You should have the trapezoidal rule code (see Assignment 17)
running properly before you attempt this program assignment.
Read this document before
beginning this assignment.
 Section 5.6 – Gauss Quadrature.
August 16
 Section 5.1 – Numerical Differentiation.
August 23
You should rework Exam 2 immediately after it is returned.
(Recall that a score below 64% is failing. See the course policy.)
I will post updated estimates of your midterm course grade on BannerWeb on
Thursday.
Start reading Chapter 6.
 Chapter 6 – Numerical Solutions of ODEs.
August 29
This is a running assignment.
 Chapter 6 (a) – Implicit Euler Method.
August 29
BEWARE: The math faculty regularly observe that during the final 3
to 4 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.
 Write this
Maple code for Euler's Method.
August 30
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.
Review the Maple tutorial entitled
Formatted Printing and
Plot Options.
 Do Problem 2 of Assignment 24.
August 31
 Do Problem 3 of Assignment 24.
August 31
 Do Problem 4 of Assignment 24.
September 6
 Do Problem 5 of Assignment 24.
September 7

Program Assignment 3.
Due Friday, September 16 (Week 10).
(Posted Wed., Sept. 7)
You should have the code for the Euler method (see Assignment 26)
running properly before you attempt this program assignment.
Read this document before
beginning this assignment.
See SOME of the results for the
sample problem in Part I.
 Additional Programs for Solving IVPs.
September 9
 Section 6.3: RungeKuttaFehlberg
and RungeKuttaVerner Methods.
September 9
Start reading Section 2.1.
 Section 2.1 – Matrix Introduction.
September 12
 Section 2.2 – Gauss Elimination.
September 13
On Wednesday I will finish the example I started on Tuesday.
(You could actually finish it yourself as there is little left to do.)
 Section 2.2(b) – LU Decomposition.
September 14
 Read and do these Maple
examples for solving a system of linear equations.
June 9
 Section 2.2(c) – Determinants and
Existence–Uniqueness of Solutions.
September 14
Have you read the information about
our final exam under the Announcements at the top of this web page?
 Section 2.2(d) – Homogeneous Systems.
September 16
 Section 2.3 – Matrix Inversion.
September 20
Facie (noun) \'fā • cē, 'fay
• see\
pl. facies \'fā • cēz, 'fay •
seez\ :
 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.
 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 a driving license is an example of a facie, although
it is not a selfie.
