Assignments:
- Do all the examples in the first Maple tutorial entitled
Basics.
April 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.
- 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 and
on the "KU Cloud" (Citrux Receiver).
To expedite my taking attendance each day, please note the place you
sit in on Thursday of Week 1. I will have you sit in that place the
remainder of the term.
- Do this problem on truncation
error. (pdf document)
April 2
(Recall that the date indicates the date on which the assignment was posted. It is NOT a due date.)
- Section 0.7 Polynomial
Nested Form / Truncation Error.
April 4
Since there are no new assignments on April 5, you should:
- finish Assignments 1 and 2,
- finish the Maple Video Tutorial posted on Bb under Week 1, and
- thoroughly review Friday's lecture notes BEFORE we meet Tuesday.
Since the use of Maple is required in this course, you should be
finished with Assignment 1 and the first Maple Video Tutorial by now.
- Section 1.1 Bisection Method.
April 9
Please form
teams of 4 for working the Programming Assignments.
Your team may include students from either
of my two sections of MATH-305.
- Write the Maple code
for the Bisection Method.
April 11
NOTE: DO NOT COPY AND PASTE the commands into a Maple
session!
Doing so will introduce hidden control characters into the Maple
session!
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. There will be a follow-up assignment based on this code.
Work on forming your teams of 4 as soon as possible (for
the Programming Assignments).
See the Class Cafe (in Discussions) on Bb and follow the instructions.
Each team should have 4 members and may include students from any of my 2
sections of MATH-305.
- After getting the Maple code for the bisection method to run properly,
STUDY and work through ALL the examples in the Maple tutorial entitled
Formatted Printing
and Plot Options.
April 12
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 5 decimal places, and
- the interval length in scientific notation showing 4 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 post!
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?)
- Section 1.2(a) False Position.
April 12
April 13, 1743 was Thomas Jefferson's birthday.
Three very interesting facts about Thomas Jefferson, the 3rd president of
the United States, one of which is his connection to Isaac Newton:
- He wrote the American Declaration of Indepence at the age of 33.
- He and very close friend John Adams, 2nd president of the U.S.,
died within 3 hours of one another on July 4, 1826 —
the 50th anniversary of the adoption of the Declaration
of Independence.
- As a boy in Virginia Thomas Jefferson's private tutor was a student of
Isaac Newton's who had come to the American Colonies to teach.
Under Newton's student the young Jefferson learned calculus, which was
then called "fluxions."
- Section 1.3 Newton's Method.
April 15
- Do all the examples in the second Maple tutorial entitled
Solutions of Equations.
April 16
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.
- Section 1.5 Fixed Point Method.
April 16
- Section 1.5(b)
Fixed Point Method with Aitken Acceleration.
April 18
EXAM 1 CONTENT ENDS
HERE. . .
THE FINAL EXAM CONTENT BEGINS
HERE. . .
Click here for more details.
- Section 3.1 Binomial Coefficients and Differences.
April 23
- Section 3.2 Newton-Gregory Interpolating
Polynomials.
April 25
- Determine the Optimal Interpolation
Degree.
April 28
- Sections 5.2 & 5.3 Proper Integrals:
Trapezoidal Rule and Simpson's Rules.
April 30
Note: This is a running assignment — do the problems on
this sheet as we cover the material.
Rework my examples successfully on your own first.
- Write the Maple code for the trapezoidal rule.
May 2
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.
May 2
- Do all the examples in the third
Maple Tutorial entitled
Derivatives and Integrals.
May 3
- Section 5.3: Simpson's 3/8 Rule.
May 3
Summary of
Newton-Cotes integration formulas
- Section 5.6 Gauss Quadrature.
May 7
- Section 5.1 Numeric Differentiation.
May 10
- Chapter 6 Numerical Solutions of
ODEs.
May 17
This is a running assignment.
- Write this
Maple code for
Euler's Method.
May 20
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.
Review the Maple tutorial entitled
Formatted
Printing and Plot Options.
- Chapter 6 (a) Implicit Euler Method.
May 20
- Do Problem 2 of This Assignment.
May 21
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.
- Do Problem 3 of This Assignment once the method is covered.
May 21
- Do Problem 4 of This Assignment once the method is covered.
May 21
- Turn the
Explicit Euler code
(Assignment 24)
into the Modified Euler code. (very easy)
May 23
- Do Problem 5 of This Assignment once the method is covered.
May 23
- Additional Programs for Solving IVPs.
May 24
- Section 6.3: Runge-Kutta-Fehlberg
and Runge-Kutta-Verner Methods.
May 24
- Section 6.3: Questions.
May 24
Have you checked your final exam schedule? Info for our final exam is shown
at the top of this page.
- Section 2.1 Matrix Introduction.
May 28
- Section 2.2 Gauss Elimination.
May 30
- Section 2.2(b) LU Factorization.
May 31
- Read and do these Maple
examples for solving a system of linear equations.
May 31
- Section 2.2(c) Determinants and
ExistenceUniqueness of Solutions.
June 3
- Section 2.2(d) Homogeneous Systems.
June 3
- Section 2.3(b) Determinants and
Singular Matrices.
June 3
- Section 2.3 Matrix Inversion.
June 4
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?
- Section 2.4 Vector & Matrix Norms.
June 6
- Section 2.4(c) Residuals, Condition
Number, and Ill-Conditioned Matrices.
June 7
What we don't finish Friday, we'll finish Monday.
THE FINAL EXAM CONTENT ENDS HERE.
Click here for detailed information about the
final exam and for the crib sheet I will give you.
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