| INFORMATION BOOKLET FOR MATH3102 |
|
|
SEMESTER 1, 2002 |
SUBJECT CO-ORDINATOR
- Yao-Zhong Zhang
- Mathematics Department
- Office 67-702, Priestly
Building
- Tel: (+61 7) 33653256
- Fax: (+61 7) 33651477
- Email: yzz@maths.uq.edu.au
- Consultation Times: Mon 11am-12pm, Wed 12pm-1pm, Fri 12pm-1pm
|
General
Information
Welcome to MATH3102.
All web based information for this course can be accessed through
the subject Homepage
http://www.maths.uq.edu.au/student/index.php?courses.
Lecture notes and assignment sheets will be available on the web,
as the semester progresses.
Vist the mathematics
FAQs page
for some general questions.
Any student with a disability who may require
alternative academic arrangements in the course is encouraged to
seek advice at the commencement of the semester from a Disability
Adviser at Student Support Services.
PURPOSE OR GOAL:
Aims and objectives of the subject. This subject aims to
consolidate students' knowledge and skills in vector analysis,
complex analysis, Fourier and Laplace transformations,
and their applications to various physical models. Main applications
discussed in this unit are heat conduction/diffusion, perfect fluid
flow, potential theory and spread of pollutants.
ASSUMED BACKGROUND:
Students should have taken MATH2100 or MT253. A basic knowledge of
vector analysis, PDE's, ODE's and complex variable methods (contour
integration) will be assumed, as indicated by the prerequisites.,
INFORMATION CHANGES:
Information about any changes to MATH3102 will be announced in
lectures and a copy placed on the front notice board of the
Priestley Building, building 67. Such information will also be
placed on the subject Homepage.
It is your responsibility to keep up to date with all information
posted on noticeboards and notified in lectures.
CLASS CONTACT
Each week students must attend:
3 hours of lectures, and 1 hour of tutorial, and
Lectures start in week 1.
Tutorials start in week 2. Times and Rooms
may change...keep checking this site
THE PURPOSES OF THE VARIOUS FORMS OF CLASS CONTACT ARE AS FOLLOWS:
Lectures define the subject material; they set out the basic
theory and demonstrate techniques for problem solving. They cover
all the basic material required for the subject. They are also
used
to provide information on the organisation of this subject.
Tutorials give assistance on assignment work and any
problems you may have. You hand in your assignments to your tutor
and receive back marked assignments from your tutor.
CALCULATOR POLICY:
While we will not discuss, use,
or supply Graphics Calculators, students may use them for their
work and in exams.
SYLLABUS:
The following list of topics is intended as a guide only. It
is not a strict list of topics in order, and may be varied at
times as the semester proceeds.
- Elements of vector analysis
- Gradient, divergence, curl, curvilinear coordinates, line
integrals and surface integrals,
Stoke's theorem, Gauss theorem and Green's theorem.
- Heat conduction in solids
- Heat conduction equation,
one-dimensional heat flow and its fundamental solution, generalized
functions, convolution integrals.
- Inviscid/perfect fluid flow -- continuum mechanics
- Spatial and material description of flow, continuity equation,
incompressible fluid, potential flow, Euler's and Bernoulli's
equations.
- Potential theory.
- Spread of pollutants
- Convection-diffusion equation, steady
one-dimensional problem, two-dimensional problem.
- Separation of variables and Sturm-Liouville theory.
- Review of complex variables
- Analytic functions, multi-valued
functions, Cauchy's residue theorem and contour integrals.
- Fourier transforms
- Fourier transform of delta function,
properties and applications of Fourier transforms, Green's
functions and convolution theorem.
- Laplace transforms
- Properties, Laplace transform and PDE's,
Laplace transform convolution and applications to physical models.
LECTURE NOTES AND ASSIGNMENT
SHEETS:
Lecture notes and assignment sheets can be downloaded from
MATH3102 LECTURE NOTES and ASSIGNMENT SHEETS
You need a password to get into this link,
which will be advised during the first lecture.
TEXTBOOKS/RESOURCE
MATERIALS:
There is no set textbook for this course.
The reference books are:
"Applied Vector Analysis" by H.P. Hsu, Harcourt
Brace Jovanovich College outline series
"Advanced Engineering Mathematics", by E.
Kreyszig, John Willy, PS & E Library QA401.K7 1999
"Advanced Calculus for Applications", by
F.B. Hildebrand, Prentice-Hall, PS & E Library QA303.H55 1976
"Functions of a Complex Variable" by G.F.
Carrier, M. Krook and C.E. Pearson, McGraw-Hill, PS & E Library
QA331.C315 1996
"Fourier Series and Boundary Value Problems", by
R.V. Churchill, McGraw-Hill, PS & E Library QA404.C6 1993
Many books can be found in the library under QA303, QA330, QA331, QA377,
QA401, QA403, QA404 and QA433.
IMPORTANT DATES:
- Public Holidays-March 29, April
25, May 6.
METHOD OF ASSESSMENT:
Assessment will be based on the following two
components:
| Assessment Item |
Brief Description |
Weighting
|
|
Assignments |
5 assignments |
40
|
| End
of semester Exam |
2
hours |
60
|
- Failure to complete any part of any item
of the assessment will result in your receiving a mark of
0 for that part of that item of the assessment.
To determine your grade for MATH3102 we will use the the sum
of marks from the assignments and end of semester exam
and apply the
``ASSESSMENT CRITERIA'' listed at the end of this guide.
- Collaboration on assignments is allowed, but must write out
your own solutions in your own way. Identical assignment
solutions will share the marks!
- Two hour written examination at the end
of the semester held at a time to be advised by
Examinations Section.
- Anything discussed in lectures is
examinable. In addition problems from assignments and
tutorials as well as similar problems may form part of
the written exam.
Examinations
- END OF SEMESTER EXAMINATION
This will be 2 hours long, plus 10 minutes for perusal,
and will be held in the usual examination period. It is
timetabled centrally by examinations section, and your
lecturer has no power over the
choice of the date or time!
Special Examinations
- If a few students have extremely good
reasons for being unable to attend end of semester
examination, then they should request
in writing, to take a special end of semester exam at a time and
place to be advised.
- Contact your Faculty Office for policy and
procedures.
Assignments and tutorials
The purposes of assignment work are to
reinforce understanding of various concepts and also to
learn good presentation of mathematics. Assignment work
should be neat --- but there is no need to type your
work! Often neatly handwritten mathematics is easier to
read than typed mathematics, unless you have a good word
processor that deals with mathematical expressions.
Please also note that your assignment
work should be written in coherent sentences. Some
abbreviation is normal (such as "=>" for
"implies'') but your work should still be
grammatically correct!
PLEASE ensure that each assignment includes:
your name and student number, printed
CLEARLY;
the subject name, MATH3102;
your tutor's name;
the assignment number, and perhaps the due date.
You hand in the set questions
which form the assignment, to your tutor. These
will be marked and handed back with comments. There will be about
five assignments.
Weekly tutorials are one of the main
opportunities that you have to obtain help with your
problems. In order to obtain the maximum benefit from,
you should try assignment questions beforehand, and bring your
lecture notes and working attempts with you to
show your tutor. Remember that your tutor does not attend
your lectures. Tutors do not usually accept late assignments, so
please hand in your work on time!
ADDITIONAL HELP:
Please note that almost all the tutors
are hourly paid, and so are not available for
consultation outside the actual tutorial hour.
Please see your lecturer with any
problems outside the tutorial times. See your
lecturer's door for times when they are available. There
are set consultation times for students,
although you can always make an appointment for a
different time if you are unable to come during these set
consultation times. Appointments for a mutually
convenient time can be made by email or a note under the
door with your phone number for contact.
You may also seek help from the Student
Support Services, in the Relaxation Block of the Student
Union Complex, or by phoning 3365 1704.
Don't leave problems until the last minute!
It is important to understand early
work, so please tell me of any problems at all. Lecturer
needs some uninterrupted times each week to spend on
research; lecturing is only one part of the job! There is
a vast array of new and exciting mathematics awaiting
discovery. ..
SOME FINAL
ADVICE
Don't fall asleep
and then wake up and find yourself out of your depth
because you switched off! It is most important to
understand fully the basic concepts, so that you have a
proper foundation for new work. Don't expect to follow
every word in every lecture!
You will need to go over your lecture notes and
spend at least as long again working each week as you
spend in contact hours. The subject is worth 2 units,
which in theory means 12 hours work a week, 4 of which
are in the form of class contact. (And 12-4=....) I
stress again, please do NOT leave problems, but tell me
about anything which isn't going well. The earlier
problems are tackled, the easier a resolution will be.
Finally, please note that learning takes place best in an
atmosphere of cooperation and mutual help.
HAVE FUN WITH MATH3102!!
Good luck! Yao-Zhong Zhang.
ASSESSMENT CRITERIA:
- Solutions will be marked for accuracy,
appropriateness of mathematical
techniques and clarity of presentation, as demonstrated
by examples presented in lectures.
- To earn a Grade of 7, a student
must demonstrate an excellent understanding of the course material.
This includes clear expression of nearly all their deductions and
explanations, the use of appropriate and efficient
mathematical techniques and accurate answers to nearly
all questions and tasks with appropriate justification.
They will be able to apply techniques to completely solve
both theoretical and practical problems.
- To earn a Grade of 6, a student
must demonstrate
a comprehensive understanding of the course material. This includes
clear expression of most of their deductions and
explanations, the general use of appropriate and
efficient mathematical techniques and accurate answers to
most questions and tasks with appropriate justification.
They will be able to apply techniques to partially solve
both theoretical and practical problems.
- To earn a Grade of 5, a student must demonstrate
an adequate understanding of the course material. This includes clear
expression of some of their deductions and explanations,
the use of appropriate and efficient mathematical
techniques in some situations and accurate answers to
some questions and tasks with appropriate justification.
They will be able to apply techniques to solve
fundamental problems.
- To earn a Grade of 4, a student must demonstrate
an understanding of the basic concepts of the course material. This
includes occasionally expressing their deductions and
explanations clearly, the occasional use of appropriate
and efficient mathematical techniques and accurate
answers to a few questions and tasks with appropriate
justification. They will have demonstrated knowledge of
techniques used to solve problems and applied this
knowledge in some cases.
- To earn a Grade of 3, a student must demonstrate
some knowledge of the basic concepts of the course material. This
includes occasional expression of their deductions and
explanations, the use of a few appropriate and efficient
mathematical techniques and attempts to answer a few
questions and tasks accurately and with appropriate
justification. They will have demonstrated knowledge of
techniques used to solve problems.
- To earn a Grade of 2, a student must demonstrate
some knowledge of the basic concepts of the course material. This
includes attempts at expressing their deductions and
explanations and attempts to answer a few questions
accurately.
- A student will receive a Grade of 1
if they demonstrate extremely poor knowledge of the basic
concepts in the course material. This includes attempts
at answering some questions but showing an extremely poor
understanding of the key concepts.