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Introduction
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The
Department of Mathematics is the oldest centre of Mathematics in the
north-western Subcontinent. It was founded by eminent mathematician,
Prof. W. H. Crank in 1864, after he took over as Officiating Principal,
Government College Lahore. The Department has maintained high standards
ever since. One of the Departments graduates, Mr Ram Parkash Bambah,
obtained 600/600 marks in his MA Mathematics Examination in 1946, which
is still an unbroken record. Celebrated Number Expert of the
Subcontinent, Dr. S. Chawla was a Pre-partition old boy of GC, who went
on to become Chairperson, Department of Mathematics, serving from 1935
to 1947. He conducted research in collaboration with leading
mathematicians of his time including C. Bose and Prof. Artin. Recently,
the American Mathematical Society (AMS) has acknowledged his
contributions to Mathematics.
The
year 1966 marked the advent of a new era for the Department as the
Postgraduate Programme was launched independently here at Government
College Lahore, on the initiative of a competent teacher and
administrator, Prof. L. M. Chawala. Prof. Chawala had earlier launched
the publication of the "Journal of Natural Sciences and Mathematics" in
1961. He was able to put together a team of dedicated teachers to
undertake Postgraduate instructions in the subject of Mathematics. One
of his pupils, later to win fame and fortune, Dr. Abdus Salam
(1924-1997), went on to win laurels for Pakistan. An esteemed Ravian
(session 1944-1946), a great mathematician of the 20th
century, and later Chairperson, Department of Mathematics (1951-1952),
Prof. Salam earned international distinction by bagging over 20
prestigious awards, finally winning the Nobel Prize for Theoretical
Physics in 1979. The Old Hall of GCU has been renamed Salam Hall in
memory of the great Professor who remains a source of inspiration for
all Ravians for all times to come.
During the last 70 years, the Department has had the following
Professors as Chairpersons:
Prof S Chawla (1935 - 47)
Prof S A Hamid (1947 - 51)
Prof Abdus Salam (1951 - 52)
Prof Lal Mohammad Chawla (1952-55,1957-65,1967-69)
Prof Sultan Bukhsh (1955 - 57)
Prof M. A Saeed (1965-67)
Prof M Yasin (1969-70)
Prof Capt Abdul Majeed (1970 - 73)
Prof Dr Mirza M Ahmed (1973-74)
Prof Dr Munawar Hussain (1974-82)
Prof Mohammad Amin (1982-88)
Prof Mohammad Hafeez (1988 - 95)
Prof Dr Karamat H Dar (1995 - 2001)
Prof Dr Akhlaq A Siddiqul (2001-2004)
Prof Dr Muhammad Aslam (2004-2007)
Prof.
Karamat Hussain Dar (2007 )
The
torch of GCU continues to burn with the flame of the Courage to Know
here at the Department of Mathematics. One of our recent graduates, Mr.
Muhammad Ali Khan, has been awarded the lzaz-e-Sabqat, 2002 and
the Rhodes Scholarship, 2003 for DPhil at the University of Oxford.
Facilities
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Computing Laboratory
The
University provides a network of PCs and Internet facility to its
students for conducting research. This facility is also available at the
Department. The Department has its own computing Research Lab, which has
PCs, projectors, scanners and laser-printers. The Lab is equipped with
all the necessary equipment for computing and processing. The Math
Scinet facility on which work will be completed soon will be
available to students in addition to electronic resources.
Research
Presently, the Department is receiving hard copies of more than 50
reputed international research journals and has electronic access to
more than 100 research journals. The Department of Mathematics is the
only Department in Pakistan subscribing to the AMS Mathematical Reviews
(containing reviews of almost all international journals). The
Department is the main contributor to an internationally recognised
research journal "Journal of Natural Sciences and Mathematics" (JNSM),
published biannually by the Department of Mathematics in collaboration
with the Departments of Physics and Chemistry, under the supervision of
the University Research Council. The Journal has earned critical acclaim
in the AMS Mathematical Reviews and Zentra lblatt for Mathematik (also a
reputed mathematical review). It attracts more than 45 research journals
in exchange, including Annals of Mathematics, Bulletin of AMS, Bulletin
of London Mathematical Society, Pacific Journal of Mathematics,
Mathematical Proceedings of Cambridge Philosophical Society and Michigan
Mathematical Journal. The Department has a highly qualified and
enthusiastic research-oriented teaching faculty. Almost all the teachers
at the Department hold Research Degrees including four PhDs.
Research Groups
·
Group Theory and Algebraic Modelling Group
·
BCK Algebra, Semi Rings Group
·
Numerical Analysis Group
·
Algebraic Topology Group
·
Control Theory Group
·
Topology Group
·
Fixed Point Theory Group
·
Radical Theory of Rings Group
·
General Relativity Group
Future
Prospects
The
Department of Mathematics currently offers BSc (Hons.) Programme in
Mathematics. This Programme equips the students with the finest possible
tools to excel in the job market. In addition to providing better job
prospects, we train our students to conduct research in Mathematical
Sciences. The quality of our output has been appreciated worldwide.
Equipment in Mathematics Department
|
Sr.No. |
Description |
|
1 |
Multimedia Projector |
|
2 |
Overhead Projector |
|
3 |
PCs |
|
4 |
Projector Screen with Stand |
|
5 |
UPS |
|
6 |
Flash Memory |
|
7 |
CD Writer |
|
8 |
HP Laser Jet Printer 1100 |
|
9 |
Epson LX-300 Printer |
|
10 |
Hub (Internet server) |
Academic Programmes
The
Department of Mathematics offers BSc (Hons.) Degree Programme.
Courses
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Courses of B.Sc. (Hons) MATHEMATICS
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Year 1
|
|
Course
Code |
Course Title
|
Credit
Hours |
Semester
|
|
MATH 1101
|
Calculus
I |
3 |
I |
|
MATH 1201 |
Calculus
II |
3 |
II |
|
Year 2
|
|
Course
Code |
Course
Title |
Credit
Hours |
Semester
|
|
MATH 2101 |
Real
Analysis I |
3 |
III |
|
MATH 2201 |
Complex
Analysis I |
3 |
IV |
|
MATH 2202 |
Group
Theory I |
3 |
IV |
|
Year 3
|
|
Course
Code |
Course
Title |
Credit
Hours |
Semester
|
|
MATH 3101 |
Numerical
Analysis I |
3 |
V |
|
MATH 3102 |
Mechanics
II |
3 |
V |
|
MATH 3103 |
Group
Theory II |
3 |
V |
|
MATH 3104 |
Real
Analysis II |
3 |
V |
|
MATH 3105 |
Complex
Analysis II |
3 |
V |
|
MATH 3201 |
Fluid
Mechanics |
3 |
VI |
|
MATH 3202 |
Numerical
Analysis II |
3 |
VI |
|
MATH 3203 |
Linear
Algebra II |
4 |
VI |
|
MATH 3204 |
Topology
|
3 |
VI |
|
MATH 3205 |
Differential Geometry |
3 |
VI |
|
Year
4 |
|
Course
Code |
Course
Title |
Credit
Hours |
Semester
|
|
MATH 4101 |
Functional
Analysis |
4 |
VII |
|
|
Optional |
3 |
VII |
|
MATH 4102 |
Mathematical Physics I |
3 |
VII |
|
MATH 4103 |
Operations
Research |
3 |
VII |
|
MATH 4299 |
Research
Project/Internship |
3 |
VII |
|
MATH 4201 |
Measure
Theory |
4 |
VIII |
|
|
Optional |
3 |
VIII |
|
MATH 4202 |
Mathematical Physics II |
3 |
VIII |
|
MATH 4203 |
Computer
Application in Mathematics |
3 |
VIII |
|
MATH 4299 |
Research
Project/Internship |
3 |
VIII |
Optional Courses
|
Course
Code |
Course
Title |
Credit
Hours |
|
MATH 4104 |
Representation Theory |
3 |
|
MATH 4105 |
Advanced
Group Theory |
3 |
|
MATH 4106 |
Abstract
Set Theory |
3 |
|
MATH 4107 |
Category
Theory with Applications |
3 |
|
MATH 4108 |
Differential Equations II |
3 |
|
MATH 4109 |
Graph
Theory |
3 |
|
MATH 4110 |
Continuum
Mechanics |
3 |
|
MATH 4204 |
Lie
Algebras |
3 |
|
MATH 4205 |
Algebraic
Topology |
3 |
|
MATH 4206 |
Integral
Equations |
3 |
|
MATH 4207 |
Analytical
Dynamics and Relativity |
3 |
|
MATH 4208 |
Quantum
Mechanics |
3 |
|
MATH 4209 |
Mathematical Statistics |
3 |
|
MATH 4210 |
Theoretical
Physics |
3 |
Mathematics as an Allied Subject
|
Year 1
|
|
Course
Code |
Course
Title |
Credit
Hours |
Semester
|
|
MATH 1101
|
Calculus
I |
3 |
I |
|
MATH 1201 |
Calculus
II |
3 |
II |
|
Year 2
|
|
Course
Code |
Course
Title |
Credit
Hours |
Semester
|
|
MATH 2101 |
Real
Analysis I |
3 |
III |
|
MATH 2201 |
Complex
Analysis I |
3 |
IV |
Faculty
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