ACADEMIC PLANNER

JIF 315MATHEMATICAL

METHODSACADEMIC SESSION 2015/2016

VIDEO CONFERENCINGDate

SessionRegional Regional TimeCentreA Centre B

123

4

5

[Students need to fill the date and time of video conference session. Please refer to thevideo conference time-table for Academic Session 2015/2016 provided.]

JIF 315/3 - MATHEMATICAL METHODS

COURSE MANAGER: DR. NOR ZAKIAH BINTI YAHAYAE-MAIL: norzakiah@usm.my

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 SIX video conferencing as follows

VIDEOCONFERENCING

AGENDA TOPICS REFERS TOTEXTBOOK

1st Videoconferencing Chapter 1

Integral Transforms

1.1 Laplace Transform

1.2 Fourier Transform

Chapter 6Laplace

TransformsChapter 11

Fourier analysis

2nd Videoconferencing

Chapter 2Special Functions

2.1 Gamma Function2.2 Bessel Function2.3 Legendre Function2.4 AssociatedLegendre Function

Chapter 5Series Solutions of

ODEs.Special Functions

3rd Videoconferencing

Chapter 3Sturm-Liouville

Problem

3.1 Regular Sturm-Liouville Problems3.2 Periodic Sturm-Liouville Problems3.3 Singular Sturm-Liouville Problems3.4 OrthogonalFunctions

Chapter 11Fourier Analysis

4th Videoconferencing

Chapter 4Fourier Series

4.1 FourierSeries4.2 Fourier Sine andCosine Series4.3 Complex Form ofFourier Series4.4 Application ofFourier Series

Chapter 11Fourier Analysis

5th Videoconferencing

Chapter 4Partial Differential

Equation5.1 Partial differentialequation in physics5.2 Wave equation

Chapter 12Partial Differential

Equation

6th Videoconferencing

Chapter 4Partial Differential

Equation5.3 Heat equation5.4 Laplace equation

Chapter 12Partial Differential

Equation- 1 -

ASSIGNMENTS

There will be two written assignmentsAssignment 1: Dateline for assignment submission is 1 December 2015.Assignment 2: Dateline for assignment submission is 1 Mac 2016.These assignments must be sent to the General Office, PPPJJ.

CONTINUOUS ASSESSMENT

One continuous assessment will be conducted during the Intensive Course. The part coveredby this continuous assessment isChapter 1: Integral TransformsChapter 2: Special functions ChapterChapter 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: Assignment10% 30%

Continuous assessment20%

E-LEARNING PORTAL

The assignment questions, sample examination questions and other course resources areavailable at the school electronic portal. The url is http://el.pppjj.usm.my. There is also aprovision of forum for course facilitation.

REFERENCE BOOKS

E. Kreyszig, Advanced Engineering Mathematics, 10th Edition, John Wiley & Sons,inc., 2011.

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