

Articles
by
Z.M. Nopiah 
Total Records (
12 ) for
Z.M. Nopiah 





N.M. Tawil
,
A. Zaharim
,
I. Shaari
,
N.A. Ismail
,
Z.M. Nopiah
and
H. Othman


This study discusses a study on eLearning as an alternative
mode for teaching mathematics for engineering students, focusing on vector calculus
as an instance of application. Mastery of mathematics is vital for engineering
students. A strong foundation in mathematics is necessary to ensure engineering
students mastery of other engineering courses. Difficulties in mastering mathematics
often adversely affect the achievement of enginering students academically.
Among the mathematics courses, vector calculus stand out as challenging to many
students. This study thus covers the strategy of this alternativemode to enable
students comprehension and mastery of the vector calculus. Implementation of
eLearning is supported by learning softwares, maths websites, WileyPlus^{®}
and Hot Potatoes^{®}. The eLearning mode enabled students to communicate
with the lecturer at any time through an interactive facebook. Similarly, the
use of wordpress and google.doc enabled students to communicate or access learning
materials at any time. Evidently, the method has enabled students to master
vector calculus and engineering mathematics, through visualization enabled by
the eLearning tools. 





S. Abdullah
,
S.N. Sahadan
,
M.Z. Nuawi
and
Z.M. Nopiah


This study explores an application of the wavelet denoising technique
in a fatigue road load variable amplitude data set. In this study, the
wavelet denoising application has been implemented using the 4th order
of Daubechies family, with the adaptation of fifteen levels decomposition
process. From the view of current research trend, the waveletbased denoising
approach is widely used using vibration random signal, but it is rarely
been used in the scope of fatigue road loadings, or also known as fatigue
strain signals. The idea of this study came from the some previous vibration
analysis research and it was found to be suited to the approach of fatigue
signal denoising process. High amplitude events in a fatigue road signal
are very important and they should be retained because of these features
caused significant damage of the components, particularly in automotive
applications. After the fatigue signal has been denoised, the global signal
statistical calculation and fatigue damage/life analysis were performed
in order to validate the applicability of this denoising technique. From
the analysis, it was found that the wavelet denoising approach was not
suitable to analyse fatigue data and the major concern is the omission
of high amplitude events from the original road loading, hence to a significant
fatigue damage difference when compared to the edited road loading. 




T.E. Putra
,
S. Abdullah
,
M.Z. Nuawi
and
Z.M. Nopiah


An extraction computational algorithm for fatigue feature
editing is presented in this study. The magnitude of the time domain Morlet
wavelet coefficient level was used as the parameter to set gate value
for the eliminating process of the 60 sec original signal. It was important
to maintain the signal statistical parameters and the total fatigue damage
of the mission signal as close as to the original signal, with the retention
of the original load sequences. At the end of the process, by using this
approach, segments containing the higher Morlet wavelet coefficients that
contribute to the more fatigue damaging events were retained and were
then joined so produce the optimum mission signal length of 13.8 sec.
This short signal gave a 77% reduction in length with only 8.7% reduction
in the fatigue damage. In conclusion, the extraction of the fatigue features
using the Morlet wavelet successfully created a new mission signal which
retains the majority of the higher fatigue damaging events in the time
history. 




Z.M. Nopiah
,
M.N. Baharin
,
S. Abdullah
and
M.I. Khairir


Abrupt changes are changes that occur at a time instant at which properties suddenly change, but before and after which properties are constant in some sense. The detection of abrupt changes refers to the determination whether, such a change occurred in the characteristics of the considered subject. Running Damage Extraction (RDE) method is a new technique that was developed based on the fatigue damage calculation in detecting the abrupt changes. The objective of this study was to observe the capability of RDE method in analyzing fatigue data for detection of abrupt changes. For the purpose of this study, a collection of nonstationary data that exhibits a random behavior was used. This random data was measured in the unit of microstrain on the lower suspension arm of a car. Experimentally, the data was collected for 60 sec at a sampling rate of 500 Hz, which gave 30,000 discrete data points. By using RDE algorithm, a running damage plot was constructed in monitoring the damage changes for fatigue data. Global signal statistical value indicated that the data were non Gaussian distribution in nature. The result of the study indicates that RDE technique is applicable in detecting the abrupt changes that exist in fatigue time series data by isolating the high and low amplitude event into different segmentation. 




A. Lennie
,
S. Abdullah
,
Z.M. Nopiah
and
M.N. Baharin


This study presents an analysis on variable amplitude loading strains data by using amplitude probability distribution function, power spectral density function and cross correlation function techniques. The objectives of this study are to observe the capability of these techniques in investigating the time series behaviour in terms of distribution and statistical values and also detecting the similarity of pattern signal. In this study, the data consisting of nonstationary variable amplitude loading strains data exhibiting a random behaviour was used as a set of case study. This random data was collected on the lower suspension arm of an automobile component travelling on pavé and highway route. The data was repetitively measured for 60 sec at the sampling rate of 500 Hz, which provided 30,000 discrete data points. The collected data was then calculated and analysed for the signal distribution, statistics parameter and cross correlation values. Higher calculated cross correlation values were then selected to analyse fatigue damage prediction. From amplitude probability distribution function and power spectral density function diagrams, the result can be concluded that the nonGaussian distribution can be related to a broad band signal, while for Gaussian distribution for a narrow band signal. The findings from this study are expected to be used in determining the pattern behavior that exists in VA signals. 





N. Lohgheswary
,
Z.M. Nopiah
,
E. Zakaria
,
A.A. Aziz
and
F.N.D.A. Samah


The era of education transformation in the teaching of engineering mathematics aims to be consistent
with the revolution of technology. Thus, the teaching methods in engineering mathematics needs to be aligned
with this revolution. The objective of this study is to develop engineering mathematics lab module with
Mathematica. Engineering Mathematics lab module comprises subjects such as Vector Calculus, Linear Algebra
and differential equation. A preliminary test was conducted for Vector Calculus, Linear Algebra and differential
equation subjects. Each of the test results was analyzed using Rasch Model. Difficult course outcomes from
each test was identified as the topic of lab module. A total of 8 course outcomes were identified as the topics
for the lab module. Questions were gathered for each topic and the mathematica solutions were derived. All the
questions and mathematica solutions were verified by three experts. The course outcome for the third lab is to
be able to apply green’s theorem, stoke’s theorem and gauss’s theorem in solving engineering problems. Nine
questions were developed based on the application level of bloom taxonomy. Mathematica captures student’s
interest in learning Engineering Mathematics as it is less timeconsuming in solving mathematical problems. 




N. Lohgheswary
,
Z.M. Nopiah
,
E. Zakaria
,
A.A. Aziz
and
S. Salmaliza


Engineering Mathematics is a compulsory and core subject for any engineering disciplines. Students
face problem in applying the Engineering Mathematics concepts in engineering application problems. Thus,
an innovation in learning Engineering Mathematics is needed to satisfy the student’s need and further to
improve student’s grades in the examination. A pretest was designed based on the difficult and very difficult
course outcome obtained from the previous preliminary tests. Sixty students from Electrical Engineering
Department participated in the pretest. The students were later divided into control group and experimental
group. Control group students underwent 8 weeks of tutorial while the experimental group students studied
the same materials in the lab using Mathematica Software. The following week, both groups of students
participated in a posttest. Prepost test results were combined and run against the Rasch analysis. Prepost
test result categorized the difficulties of the questions into four groups. They are very difficult, difficult, easy
and very easy. The experimental group students did well compared to their control group counterparts. This
study showed a significant improvement between the control group and the experimental group. Engineering
Mathematics lab should be embedded in the Engineering Mathematics curriculum to improve the learning of
Engineering Mathematics. 




N. Lohgheswary
,
Z.M. Nopiah
,
E. Zakaria
,
A.A. Aziz
and
S. Salmaliza


Innovative teaching and learning is an alternative way for educators to deliver the lessons to
students. Incorporating computer algebra system is a branch under the innovative teaching and learning. This
study incorporates computer algebra system in teaching differential equations subject, a common engineering
mathematics subject in Universiti Kebangsaan Malaysia (UKM). This study aims to introduce laboratory
classes for engineering mathematics students in UKM. These laboratory sessions align with the course
outcome of the subject. The 14 weeks syllabus of the subject is compared with that of 60 universities across
the world. The common topics between UKM’s differential equations syllabus with other countries are
identified. Firstorder differential equations, higherorder differential equations and Laplace transform are the
common topics with UKM’s differential equations syllabus. Thus, the 3 topics will be chosen for laboratory
sessions. In addition, recent researchers who had conducted laboratory sessions in differential equations
subject is discussed in this study. Positive feedback and enormous benefits were obtained by students through
this innovative way of teaching differential equations. Thus, by incorporating computer algebra system in
differential equations syllabus in UKM it is hoped that the engineering mathematics students will get a better
understanding of the conceptual knowledge. 




N. Lohgheswary
,
Z.M. Nopiah
,
E. Zakaria
,
A.A. Aziz
and
S. Salmaliza


Poor performance in Engineering Mathematics is classified as a global issue as educators both locally
and internationally faced this scenario. Poor learning environment and class coordination, poor prior knowledge
of Mathematics are some of the causes for poor performance in Engineering Mathematics. Thus, to overcome
this issue, some recent researchers has incorporated usage of software in learning Engineering Mathematics.
Thus, the objective of this study is to review in detail on the researchers who has used software in Linear
algebra and differential equation subjects. Maple was used extensively in teaching of Linear algebra. Besides,
MATLAB is another software used to teach Linear algebra. Software namely, MATLAB, CoNum, Maple,
Maxima and Mathematica are used to teach differential equation subject. Incorporating software boost
student’s interest in learning Engineering Mathematics, visualize abstract concept, improved understanding
of Engineering Mathematics, helped to validate solutions and helped students in achieving better grades.
Incorporating software in Engineering Mathematics is a substitution of traditional teaching method. Teaching
via. software also overcome poor performance of Engineering Mathematics students. 




N. Lohgheswary
,
Z.M. Nopiah
,
E. Zakaria
,
A.A. Aziz
and
S. Salmaliza


A need urge to investigate the curriculum of Engineering Mathematics to identify the common
Engineering Mathematics topics between Universiti Kebangsaan Malaysia and some other world top
universities. This study aimed to introduce an innovative way for learning Engineering Mathematics. The 59
universitie’s vector calculus syllabi, 61 universitie’s Linear algebra syllabi and 60 universitie’s differential
equation syllabi were compared with UKM’s syllabus. Line integral, double integral, green’s theorem and triple
integral, matrix and basic operation, vector space, eigen value and eigen vector, firstorder differential equation,
higherorder differential equation and laplace transform are popular topics in Engineering Mathematics. Lab
sessions will be introduced in these topics to increase students understanding in the subject and to improve
their performance. 




N. Lohgheswary
,
Z.M. Nopiah
,
E. Zakaria
,
A.A. Aziz
and
S. Salmaliza


Failure in Engineering Mathematics is a concern of the academician both locally and internationally.
Various reason were identified for the poor performance in Engineering Mathematics and remedial steps were
taken to overcome this issue. One of the step to improve the performance of students in Engineering
Mathematics by including teaching via. computational tool which help the students to understand the subject
better. Thus, the objective of this study is to investigate the recent usage of computational tools in the teaching
and learning of vector calculus. The scope of this study is on the software’s that are mostly used in the
teaching and learning of vector calculus. MATLAB, Maple, Mathematica, GeoGebra and Sage are used in the
teaching and learning of vector calculus. Students were excited learning vector calculus, motivated to learn the
subjects, avoided wasting time in normal computation, agreed that software is a powerful tool for simulation
and enhanced the comprehension of vector calculus. 





Wan Siti Adibah Wan Dahalan
,
Intan Nadia Ghulam Khan
and
Z.M. Nopiah


Sustainable solid waste management is one of the main environmental challenges faced by many countries and legislation plays an important role as an instrument to implement it. The lack of a policy and legal framework is among the factors that contribute to an ineffective sustainable solid waste management. This study presents a preliminary study on the legal framework for household solid waste management and explores the issues and challenges that stand in the way of Malaysia’s objective to establish a waste management system which is holistic, integrated, cost effective, sustainable and acceptable to the community as stated in its national solid waste management policy. The study shows that although Malaysia has her own legal framework for such a purpose, the lack of uniformity of the solid waste and public cleansing management Act 2007 (Act 672) for all states pose a challenge in the implementation of a solid waste management policy. 





