This document provides information about the mathematical methods course JIF 315 for the 2014/2015 academic year, including: - Five video conferencing sessions that will cover topics like integral transforms, special functions, Fourier series, and partial differential equations. - Two written assignments that are due on December 12, 2014 and February 9, 2015. - A continuous assessment during the intensive course that covers integral transforms, special functions, and Sturm-Liouville problems. - Details on the intensive course dates, final exam details, and how the course grade is calculated based on the exam, assignments, and continuous assessment. - Information about the e-learning portal and reference textbooks for the course.

1. ACADEMIC PLANNER
JIF 315
MATHEMATICAL
METHODS

2. ACADEMIC SESSION 2014/2015
VIDEO CONFERENCING
Date
Session Regional Regional Time
Centre A Centre B
1
2
3
4
5
[Students need to fill the date and time of video conference session. Please refer to the
video conference time-table for Academic Session 2014/2015 provided.]

3. JIF 315/3 - MATHEMATICAL METHODS
COURSE MANAGER: MS. PHOONG SEUK WAI
E-MAIL: wai_phoong@yahoo.com
COURSE CONTENTS
This course is a three unit course and divided into five main areas, namely Integral transforms,
Special functions, Sturm-Liouville problems, Fourier series, and Partial differential equation.
VIDEO CONFERENCING
There will be five video conferencing as follows
VIDEO
CONFERENCING
AGENDA TOPICS REFERS TO
TEXTBOOK
1st Video
conferencing
Chapter 1
Integral Transforms
1.1 Laplace Transform
1.2 Fourier Transform
Chapter 6
Laplace
Transforms
Chapter 11
Fourier analysis
2nd Video
conferencing
Chapter 2
Special Functions
2.1 Gamma Function
2.2 Bessel Function
2.3 Legendre Function
2.4 Associated
Legendre Function
Chapter 5
Series Solutions of
ODEs.
Special Functions
3rd Video
conferencing
Chapter 3
Sturm-Liouville
Problem
3.1 Regular Sturm-
Liouville Problems
3.2 Periodic Sturm-
Liouville Problems
3.3 Singular Sturm-
Liouville Problems
3.4 Orthogonal
Functions
Chapter 11
Fourier Analysis
4th Video
conferencing
Chapter 4
Fourier Series
4.1 FourierSeries
4.2 Fourier Sine and
Cosine Series
4.3 Complex Form of
Fourier Series
4.4 Application of
Fourier Series
Chapter 11
Fourier Analysis
5th Video
conferencing
Chapter 4
Partial Differential
Equation
5.1 Partial differential
equation in physics
5.2 Wave equation
5.3 Heat equation
5.4 Laplace equation
Chapter 12
Partial Differential
Equation
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4. ASSIGNMENTS
There will be two written assignments
Assignment 1: Dateline for assignment submission is 12 December 2014.
Assignment 2: Dateline for assignment submission is 9 February 2015.
These assignments must be sent to the General Office, PPPJJ.
CONTINUOUS ASSESSMENT
One continuous assessment will be conducted during the Intensive Course. The part covered
by this continuous assessment is
Chapter 1: Integral Transforms
Chapter 2: Special functions Chapter
Chapter 3: Sturm-Liouville problems
INTENSIVE COURSE
The date for the intensive course is available in the Academic Calendar provided. Face-to-
face tutorials will be conducted during the intensive course.
CONTRIBUTION OF COURSE WORKS AND FINAL EXAMINATION
The duration of the final examination for this course is 3 hours.
The grade for this course is based on:
Final examination: 70%
Course works: Assignment
10% 30%
Continuous assessment 20%
E-LEARNING PORTAL
The assignment questions, sample examination questions and other course resources are
available at the school electronic portal. The url is http://el.pppjj.usm.my. There is also a
provision of forum for course facilitation.
REFERENCE BOOKS
E. Kreyszig, Advanced Engineering Mathematics, 10th Edition, John Wiley & Sons,
inc., 2011.
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