Welcome to MATH4Q03/6Q03
NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS
Winter 2011
Time & Place: Monday, Thursday,
9.3010.20, Tuesday, 10.3011.20 in DSB/AB 102
Computer Lab: Friday, 10.3011.20, in BSB/241
Instructor:
Ramesh Yapalparvi
Office: HH/403A, Ext. 27364
email: ramesh@math.mcmaster.ca
Office hours: Monday & Tuesday 1.302.30 pm
Teaching
Assistant: Jonathan
Gustafsson
Office: HH 403, Ext.24411
email: gustafjc@math.mcmaster.ca
Office hours: Monday 3.304.30 pm & Friday 11.30 am12.30 pm
Announcements :
The webpage is up and running
Welcome to Math 4Q03/6Q03
I have created a Math 4Q03 blog where I shall be writing about
what I did in the lectures.
The first assignment has been posted. Please see the table with
Home work posts and due dates.
The solutions and marks for the HW1 has been posted. Please make
sure you follow the guidelines given below. Those who have not
followed them will be penalized next time.
Information regarding Midterm is given here
The marks for the midterm are here.
Information regarding Final exam is given here
Outline of the Course:
This course focuses on numerical methods and algorithms for solutions of ordinary and partial differential equations. Lectures will cover
problems of polynomial interpolation and approximation, numerical differentiation and integration, ODE solvers, finitedifference and finiteelement
solutions for PDEs, and spectral methods with Matlab.
Course
Outline
Prerequisites:
Calculus, Ordinary and Partial Differential Equations, Numerical Algebra, Basic programming skills in MATLAB.
Math 4Q03 Blog:
Math 4Q03 blog
Lecture Notes:
Lecture
notes on Scientific computing with MATLAB
Matlab Tutorials:
Tutorial at the University of Florida
Tutorial at the University of Michigan
Tutorial at MichiganTech
Tutorial at the University of New Hampshire
Tutorials:
An important element of the course are the tutorials during which the
Teaching Assistant will introduce MATLAB programming techniques
necessary for the solution of homework assignments. MATLAB files
containing the material of the tutorials will be posted in advance on
the course website, and should be downloaded and reviewed before
attending the tutorial. Students are strongly encouraged to bring
their own laptops, so that they can actively follow the presentation.
Primary Reference:
1) C. F. Gerald and P. O. Wheatley,
Applied Numerical Analysis , Pearson, (2004).
Secondary Reference:
1) M. Grasselli and
D. Pelinovsky, Numerical
Mathematics, Jones and Bartlett, (2008)
[ISBN13: 9780763737672,
ISBN10: 0763737674].
Additional Reference:
1) S. S. Rao,
Applied Numerical Methods for Engineers and Scientists ,
Prentice Hall Publishers, (2001).
Software:
All homework assignments will
have to be completed using MATLAB. This software will also be used for
presentations during tutorials. While MATLAB can be used in a number
of computer labs on the campus, students are encouraged to purchase
The
Student Edition of MATLAB to be able to work with MATLAB at
home.
Review Questions:
Review Questions
Assignments:
Five homework assignments
will be posted on the course website on the dates indicated in the
table below. The assignments will be due by midnight on the dates
indicated in the table and should be sent to the following email
address math4q03@math.mcmaster.ca
. Solutions to the assignments must be prepared using
the current
template file ; note that you must use
the current version of the template file
(i.e., not the one you may have downloaded for an earlier assignment) available from the course webpage;
submissions non compliant with this template will not be accepted.
Note that the character 0 in the Email
addresses is the digit "zero", not a letter. Submissions sent to an
incorrect Email address will not be graded.
You must submit your assignment as an attachment; the file containing your assignment must be named Name_0XXXXXX_hwN.m, where:
 Name is your last name,
 XXXXXX is your student number,
 N is the consecutive number of the assignment;
assignments submitted in plain text will not be considered.
Make sure to enter your name and student I.D. number in the appropriate section of the template file.
The subject line of the Email should have Name_hwN
All graphs generated by your assignment should contain suitable titles and legends.
Do not copy your email to regular
email accounts of the instructor or the TA. It is the responsibility
of a student to follow all the
instructions mentioned above and send correct versions of Mfiles before the
deadline. Late submissions and files not
agreeing with the instructions will not be accepted under any
circumstances. The solutions will be posted on the course website
after the due date.
Computer Programs:
Chapter
 Labs
 Other Codes

1
 2  Bisection
method, Secant
method
 
2
 8 

5
 5, 7, 9, 15, 12, 13 
Vandermonde,
Vandermondeillconditionned,
Lagrange

6
 2, 4, 11, 19 

9
 1, 4, 8, 16, 18 

10
 1, 3, 6, 11 

11
 4, 10, Shooting
Method , FiniteDifference
Method , Elliptic , Tridiagonal solver , Heat01 

Homework Post & Due Dates:
# 
Post Date 
Due Date 
Marks 
HW1 
Friday, January
14 HW1 Sol 1 
Friday, January 21 
HW1 Marks 
HW2 
Friday, January 28 HW2 Sol 2 
Friday, February 4 
HW2 Marks 
HW3 
Friday, February 11 HW3 Sol 3 
Friday, February 18 
HW3 Marks 
HW4 
Friday, March 4 HW4 Sol 4 
Friday, March 11 
HW4 Marks 
HW5 
Friday, March 18 HW5 Sol 5 
Friday, March 25 
HW5 Marks 
Tests:
There will be one test scheduled tentatively on February
17 starting around 6pm.
Only the McMaster standard
calculator Casio fx991 will be allowed during the tests.
Final Exam:
The course will be completed by a threehour final examination.
The date and location of the final exam will be announced by the
Registrar's office in midterm.
Excused Absences:
For absences from classes lasting up to 5 days:
Using the McMaster student absence form (MSAF) online, selfreporting tool, undergraduate students may
report absences lasting up to 5 days and may also request relief for missed academic work. The submission of
medical or other types of supporting documentation is normally not required. Students may use this tool to submit
a maximum of two requests for relief of missed academic work per term. Students must immediately follow up
with their course instructors regarding the nature of the relief. Failure to do so may negate the opportunity for
relief. It is the prerogative of the instructor of the course to determine the appropriate relief for missed term work
in his/her course.
For absences from classes lasting more than five days:
Students who are absent more than five days cannot use the online, selfreporting tool to request relief. They
MUST report to their Faculty Office to discuss their situation and may be required to provide appropriate
supporting documentation. If warranted, students will be approved to use a discretionary version of the MSAF
online, selfreporting tool.
Unexcused absence from an assignment or test will result in a mark of zero. In the event of an
excused absence, the portion of the missed work contributing to the final mark in the course will
be added to that of the final examination.
Please note that once a test or a final examination is written, the final grade cannot be
adjusted to take into account any special situation.
Academic Integrity:
You are expected to exhibit honesty and use ethical behaviour in all
aspects of the learning process. Academic credentials you earn are
rooted in principles of honesty and academic integrity.
Academic dishonesty is to knowingly act or fail to act in a way that
results or could result in unearned academic credit or advantage. This
behaviour can result in serious consequences, e.g., the grade of zero
on an assignment, loss of credit with a notation on the transcript
(notation reads: "Grade of F assigned for
academic dishonesty"), and/or suspension or expulsion from the
university.
It is your responsibility to understand what constitutes academic
dishonesty. For information on the various types of academic
dishonesty please refer to the Academic Integrity
Policy,. The following illustrates only three forms of
academic dishonesty:
1) Plagiarism, e.g., the submission of work that is not one's own or for
which other credit has been obtained.
2) Improper collaboration in group work.
3) Copying or using unauthorized aids in tests and examinations.
Important Notice:
The instructor and university reserve the right to modify elements of
the course during the term. The university may change the dates and
deadlines for any or all courses in extreme circumstances. If either
type of modification becomes necessary, reasonable notice and
communication with the students will be given with explanation and the
opportunity to comment on changes. It is the responsibility of the
student to check their McMaster email and course websites weekly
during the term and to note any changes.