M.
PHIL. IN MATHEMATICS
M.PHIL.
PROGRAM
Now
the department is running degree program of M.Phil. in mathematics, which of
course is an aspect of our enthusiasm for the advancement of mathematics.
This M.Phil. will be full time, in the evening
and of 2 years length. The program focuses on the quality of education and original
research in mathematics.
For
this purpose, student-teacher liaison is ensured by allowing admission to an
appropriate number (12-20) student on the basis of merit (see below).
The students are taught and supervised by highly qualified
mathematicians with distinct experiences of both teaching and research needed
for higher levels of study such as M.Phil.
Program
Structure
This
M.Phil. Program consists of 4 semesters.
The following table gives the semester wise program structure:
| Semester
I |
3
Core Course |
Each
course of 3 credit hours |
| Semester
II |
1
Core + 2 Special Courses |
As
above |
| Semester
III & IV |
Thesis |
12
credit hours |
LIST
OF CORE COURSES:
From
this list, the department will offer 3 courses in semester I and 1 semester II
as core courses:
Math-701
Foundation of Mathematics
Math-702
Algebra
Math-703
Functional Analysis
Math-704
Numerical Analysis
Math-705
Theoretical Physics
Math-706
Number Theory
Math-707
General Theory of Relativity
LIST
OF SPECIAL COURSES:
Two
courses from this list will be offered in semester II as special courses:
Math-708
Ordered Vector Spaces
Math-709
Lie Algebras
Math-710
Jordan Algebra
Math-711
Banach Algebra
Math-712
C*-algebras
Math-713
Von Neumann Algebras
Math-714
Radical Theory of Rings
Math-715
Numerical Solutions of P.D. Eqs.
Math-716
Numerical Solutions of Integral Eqs.
Math-717
Unconstrained Optimization
Math-718
Theory of Categories and its applications
Math-719
Theory of Diff. Eqs.
Math-720
Banach Jordan Algebra
Math-721
Astrophysics
Math-722
Simulation and Mathematical modeling
Math-723
Generalized Group Theory
Math-724
Topological Vector Spaces
Math-725
Spectral Theory in Hilbert Spaces
Math-726
Module Theory and Group Representations
Math-727
Approximately Theory
Math-728
Topological Algebras
Math-729
Analytical Dynamics I
Math-730
Analytical Dynamics II
Math-731
Numerical Analysis with Computer Applications
Thesis
The
thesis is compulsory and will be of 200 marks.
It requires > 3.00 GPA in the comprehensive examination for
eligibility. Those students who
fail to score fail to score this level of requirement shall be given a chance
to reappear in an especially arranged examination for improvement.
In case of failure in this special examination, student shall be
dropped out and he/she may seek admission afresh in the next session.
After
successful completion of the course work (i.e; Semester I & II with
score> 3.00 GPA), candidates will have to do research on a specific topic
approved by the academic committee of the college. The candidates are supposed to submit thesis (containing
his/her research work) at the end of semester IV without fail.
The
M.Phil degree will be awarded after the approval of the thesis by the Board of
Examiners. The minimum GPA
requirement for the award of degree of M. Phil is 3.00.
ELIGIBILITY
FOR ADMISSION:
A
candidates shall be eligible to apply for admission in the M.Phil program in
Mathematics if he/she possesses at least 45% marks or 2.00 GPA in his/her
B.A./B.Sc. and M.A./M.Sc. or equivalent thereof.
Admission
to M.Phil will not be opened for non-subject candidates.
However, the criterion of related fields for eligibility will be
determined by the admission committee.
Persons
employed by the government or semi-government agencies will also be eligible
to seek admission in the M. Phil. Program.
Such candidates will be required to submit N.O.C. from their employer
to be enrolled as a full time student in this 2 years program of M.Phil. in
mathematics.
Upper
age limit for admission to this M.Phil program is 30 years, relaxable in
genuine cases.
ADMISSION
CRITERION
Each
candidate shall be selected admission in the M.Phil program on the basis of
cumulative merit out of 200 marks, to be determined from his/her previous
academic record and written and oral tests.
The allocation of the marks for determining the merit shall be as
follows:
Academic
Record
100 marks
Written
Test
60 marks
Oral
Test
40 marks
FACILITIES
Library
The college main library
contains thousands of books in its mathematical section. In addition to this,
the department of mathematics has its own postgraduate library containing more
than 4 thousand books, encyclopedias and more than 50 Mathematical research
journals from different countries like U.S.A., Canada, U.K., Russia, Japan,
Eastern Europe, China, Turkey, Iran and India. Mathematical Reviews (Published
in America) are also available for reference. In the main library, computing
facilities include network of PCs linked to a wide range of software along
with online catalogue, communication and printing services.
Internet facilities are linked to a broad based information network
connecting many national and international universities. The main library
offers reasonably suitable place for reading. The department will be happy to
provide limited photocopying and stationary facility to M.PhiI. students.
Mathematical Society
This society was named
in 1974 as the "Chawla
Mathematical Society", in recognition of the contribution of Professor
L.M. Chawla to the Department of Mathematics. The society regularly holds
meetings of its members. It invites eminent scholars/mathematicians and
arranges lectures/seminars for the advancement of Mathematics. The society
also arranges educational trips to provide an opportunity to the
mathematicians for an outward exposure.
Research
Facilities
The department has highly
qualified and enthusiastic research oriented teaching faculty. Almost all the
teachers in the department hold research degrees including 5 Ph.Ds. Presently,
the department is receiving more than 50 well reputed international research
journals. The department is a main contributor to the internationally
recognized and subscribed research journal "Journal of Natural Sciences
and Mathematics". The journal is published biannually by the Department
of Mathematics in collaboration with the Departments
of Physics
and Chemistry,
under the supervision of the College Research Council. The College
provides a network of PCs and Internet facilities for the needful computing in
research. This facility is also available in
the department.
The department
has its
own ~0mpUting/research lab, which includes several latest
PCs, Scanners and laser printers etc.
TEACHING FACULTY:
* Dr. A. A. Siddiqui Chairman and Professor
B.Ed, M.Sc., M.Phil. (BZU) , Ph.D. UK
Functional Analysis,
Non-associative
* Dr. M.Kalim Associate Professor
M.Sc. (Pb), M.Sc. (UK) Ph.D. UK
Differential
* Dr. M.Aslam Awan Associate Professor
M.Sc. M.Phil, (OAU) Ph.D. UK
Numerical Analysis,
*
Dr. M. Aslam
Associate Professor
M.Sc, M.Phil, Ph.D. (QAU)
BCK-Algebras, Ring
Theory
* Dr. S.A. Taj Associate Professor
M.Sc. (Pb), M.Sc. (UK), Ph.D (UK)
Numerical Analysis,
* Dr.G Murtaza Salam Professor
M.A.(Pb), Ph.D. DIC,(l.C.,UK)
Mathematical,
Physics, Particle Physics, Plasma
* Prof. Dr. lftikhar Hussain Shah
Visiting Professor and Chairman Computer
Science
Department Govt.
College, Lahore
* Prof. Dr. Karamat H. Dar Visiting Professor
M.A.(Pb) Ph.D. (U.K)
Algebra, Group Theory
*
Prof Dr. Khalid Latif Mir
Visiting Professor,
Ex-Chairman, Punjab University,
Lahore
Theoretical Physics
* Dr. Mehmood ul Hassan Resource Person
M.Sc. (Pb.), Ph.D. (UK)
Theoretical Physics
© 2003 Chief Librarian Government College University, Lahore - All Rights Reserved
