Jabatan Matematik diperkuatkan dengan 4 Professor, 2 di dalam bidang Matematik Tulin dan 2 di dalam bidang Matematik Gunaan. 9 Professor Madya, 10 Pensyarah Kanan, 22 Pensyarah dan 13 Tutor.
Di bawah adalah 3 bidang penyelidikan kami. Sila klik untuk bacaan lanjut.
Cabang penyelidikan di dalam Matematik Tulin adalah:
Kumpulan Penyelidikan Matematik Tulin mengkhususkan kepada pembangunan
kaedah dan keputusan dalam cabang Persaman Pembezaan, Teori Graf, Teori Nombor dan
Sejarah Matematik.
Teori Graf
We investigate three new graphical parameters, namely the factor-index, the factor-thickness
and the edge-toughness of a graph. The area of graph vulnerability concerns the question
of how much communication in a network is disrupted by the deletion of edges from the
graph. One of the motivations in studying the edge-roughness of a graph is that it can be
used as a more refined measure of graph vulnerability than that based on simple-edge
connectivity. The number of vertex-colouring of a graph G in not more than ( colours is
a polynomial in (. This polinomial, denoted by P(G,(), is called the chromatic polynomial
of G. A graph G is said to be chromatically unique if H is isomorphic with G for any graph
H with P(H,() = P(G,(). Since the appearance of the first paper on chromatic uniqueness
graphs by Cho and Whitehead in 1978, various families of such graphs have been obtained
successively.
Teori Nombor
Research in analytical Number Theory is focused on the study of multiple exponential sums
of the form where f is a polynomial with integer coefficients and the summation is taken over
a complete set of residues of each of the components of x modulo q. Estimates of the sum
find several uses in the field of analytic number theory. Several approaches to arrive at the
estimate were employed by researchers in the past. Ours is through applying a technique
that we developed, a p-adic analogue of the Newton polygon technique whose origin is found
in works of
Newton as laid out in the "Method of Fluxions".
Sejarah Matematik
This group concentrates on the documentation of mathematical writings during the Medieval
Period, in particular 10th to 17th centuries, by prominent Muslim mathematicians. Further
research is carried out for the documentation of mathematical manuscripts produced in the
Malay Archipelago during the last two centuries. Topics of mathematical importance are
detailed studies on continuity in the development from ancient mathematics to contemporary
mathematical concepts. Consultancy Experience The History of mathematics group has been
engaged in consultancy work with the
Academy of
Malay Studies ,
University of
Malaya for the
compilation of their monograph series.
Dalam Matematik Gunaan, cabang penyelidikan kami adalah :
- Model Matematikal
- Pengoptimuman
- Kestabilan
- Pengaturcaraan Matematik
- Penyelidikan Operasi
- Kaedah Berangka
- Dinamik Cecair Berangka
- Aljabar Linear Berangka
- Analisis Berangka
- Dinamik Cecair
The Interval Analysis group attempts to find the complex zeroes of a mathematical function.
Their research work involves the use of complex and analysis and interval computations.
The Numerical Analysis group is looking at ordinary differential equations (ode's) and partial
differential equations (pde's) The main research emphasis is on the development of direct
methods for solving ode's and pde's. Development of these methods will involve the
construction and testing of algorithms as well as a study of their convergence and
stability properties.
The Stability Theory group undertakes research into autonomous and non-autonomous
systems. Their main interest lies in the stability and domain of attraction of higher order
autonomous and non-autonomous systems.
The Operations Research group looks at the usage of operations research techniques in
problem solving. Current research involves the use of OR techniques to combine both
software and hardware reliability models to optimise the overall system reliability of
computer systems.
The Optimisation group is looking at problems which involve nonlinear functions and
two-level objective functions.
The Mathematical Modelling group studies physical systems. The main objective of their
work is to represent, as closely as possible, a complex physical system with a
mathematical model. The solutions in the model (whether solved analytically or
numerically) would provide some insight into the real physical system.
Cabang penyelidikan kami dalam Statistik adalah:
- Kebolehpercayaan Statistik dan Analisis Mandirian.
- Analisis Data Multi-Varian.
- Rekabentuk Permukaan Respons.
- Statistik Nilai Ekstrim.
- Statistik Ekonomi dan Kewangan.
- Model Stokastik Hydro-Metrology
- Generalized Linear Models
- Censored Data
- Statistik Bayesian
- Rekabentuk Eksperimental
- Analisis Komponen Varians
The Experimental Design group concentrates on research related to the generation of
criterion-based optimal designs for the estimation of both linear and non-linear response surfaces.
The Survival Analysis and Diagnostic group works on statistical analysis and
diagnostic of duration of life. The emphasis is on the examination of the effect of explanatory
variables as applicable in medical statistics, industrial life-testing, econometrics and various
sciences.
The Bayesian statisticians undertake research in many statistical areas via the Bayesian
approach, particularly in obtaining Bayesian estimators for many models of current interest.
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