Engineering Math III (Part 1) Outlines
and Reference Books
P. V. OíNeil, Advanced
Engineering Mathematics, Latest or Any Ed., PWS.
E. Kreyszig, Advanced
Engineering Mathematics, Latest or Any Ed., Wiley.
Lectures will follow closely
(but not 100%) the materials in the lecture notes, which are available
at this web site.
However, certain parts
of the materials will not be covered and examined and this will be made
known during the classes.
ASK any question at any
time during the lecture.
The tutorials will start
on Week 4 of the semester.
Although you should make
an effort to attempt each question before the tutorial, it is NOT necessary
to finish all the questions.
Some of the questions are
straightforward, but quite a few are difficult and meant to serve as a
platform for the introduction of new concepts.
Tutorial Set 2 is an interactive
one. You are required to come out with your own solutions.
ASK your tutor any question
related to the tutorials and the course.
The examination paper is
2-hour in duration.
You will be allowed to
bring with you an A4 sheet (both sides) of formulae into the exam hall.
To prepare for the examination,
you may wish to attempt some of the questions in exams held in previous
years (no solutions to these problems will be given out to the class).
However, note that the
topics covered may be slightly different and some of the questions may
not be revelant. Use your own judgement to determine the questions you
Your performance in
the interactive tutorial will consists 10% of your final grade.
Your final grade in
the Part 1 (FG1) of this course will be computed as follows:
1. Series and Power
Sequences and series;
convergence and divergence; a test for divergence; comparison tests for
positive series; the ratio test for positive series; absolute convergence;
2. Bessel's Equation
and Bessel Functions
Besselís equation and
Bessel functions; the Gamma function; solution of Besselís equation in
terms of Gamma function; Modified Besselís equations; Applications of Besselís
3. Legendre's Equation
and Legendre Polynomials
Legendre polynomials and their properties.
4. Partial Differential
Boundary value problem
in partial differential equations; wave equation; heat equation; Laplace
equation; Poissonís equation; Dirichlet and Nuemann Problems. Solutions
to wave and heat equations using method of separation of variables.