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Introduction
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The Department 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
of Government College Lahore. The Department maintained high standards
ever since its inception. Celebrated Number Expert of the Subcontinent,
Dr. S. Chawla was a Pre-partition old Ravain who later became
Chairperson of the Department and served from 1935 to 1947. He conducted
research in collaboration with leading Mathematicians of his time
including C. Bose and Prof. Artin and his contributions were
acknowledged by the American Mathematical Society.
The year 1966 marked the advent of a new era for the
Department where Master Programme was launched independently at
Government College Lahore, on the initiative of a competent teacher and
administrator, Prof. L. M. Chawala, who had earlier launched the
publication of the journal of "Natural Sciences and Mathematics" in 1961.
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 receiving over 20
prestigious awards, finally winning the Nobel Prize for Theoretical
Physics in 1979.
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 (20072011)
Mr. Tahir Saeed
Mir (2011)
Prof Dr Muhammad Aslam (2011-)
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
facilities for the needful computing in research. The facility is also
available in the Department and has its own computing research lab,
which includes latest PCs, projectors, scanners and laser printers etc.
The lab is equipped with internet and all the necessary packages for
computing and processing. The Math Sci. net facility which is to be set
up soon, will be available in addition to the electronic resources.
Career Scope / Opportunities
The programmes are designed in such a way that the
graduates can work in banking sector, industries and education
department. Research of the graduates and faculty members is recognized
worldwide and published in international journals.
Academic Programmes
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The Department of Mathematics offers following programmes:
Research Strengths
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 is the main
contributor to the "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 Department gets a regular
subscription of journals like 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.
Research Groups
Currently following research groups are contributing and
training the graduates in various fields of Mathematics:
Courses
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Courses of B.Sc. (Hons) MATHEMATICS
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|
Year 1
|
|
Semester I |
|
Course
Code |
Course Title
|
Credit
Hours |
|
MATH 1101
|
Calculus
I (Major Course) |
3 |
|
MATH 1102 |
Discrete
Mathematics (Major Course) |
3 |
|
ALMATH 1102 |
Basic Mathematics
(Allied Course) |
3 |
|
ALMATH 1102 |
Calculus (for students of Physics and Electronics)
(Allied Course) |
3 |
|
Semester II |
|
MATH 1201 |
Calculus
II (Major Course) |
3 |
|
MATH 1202 |
Number
Theory (Major Course) |
3 |
|
ALMATH-1201
|
Pre Calculus (Allied Course)
|
3 |
|
ALMATH-1202
|
Advanced Calculus (for
students of Physics and Electronics) (Allied Course)
|
3 |
|
Year 2
|
|
Semester III |
|
Course
Code |
Course
Title |
Credit
Hours |
|
MATH 2101 |
Calculus
III |
3 |
|
MATH 2102 |
Programming
Languages for Mathematicians |
3 |
|
ALMATH 2101 |
Differential Equations (for
students of Physics and Electronics) (Allied Course) |
3 |
|
ALMATH 2102 |
Calculus (for students of
Chemistry, Economics,
Statistics and Business
Accounting & Finance) (Allied Course) |
3 |
|
Semester IV |
|
MATH 2201 |
Algebra I |
3 |
|
MATH 2202 |
Computing
Tools for Mathematicians |
3 |
|
MATH 2203 |
Probability
Theory |
3 |
|
ALMATH-2203 |
Optimization Theory I (for
students of Economics, Statistics and Business Accounting &
Finance) |
3 |
|
ALMATH-2204 |
Coordinate Geometry
(for students of Physics and
Electronics) |
3 |
|
ALMATH-2205 |
Calculus of Several Variable
(for students of Chemistry) |
3 |
|
Year 3
|
|
Semester V |
|
Course
Code |
Course
Title |
Credit
Hours |
|
MATH 3101 |
Algebra II |
3 |
|
MATH 3102 |
Vector &
Tensor Analysis |
3 |
|
MATH 3103 |
Mathematical Statistics |
3 |
|
MATH 3104 |
Numerical
Analysis |
3 |
|
MATH 3105 |
Ordinary
Differential Equations |
3 |
|
MATH 3106 |
Real
Analysis-I |
3 |
|
Semester VI |
|
MATH 3201 |
Algebra III |
3 |
|
MATH 3202 |
Classical
Mechanics |
3 |
|
MATH 3203 |
Complex
Analysis |
3 |
|
MATH 3204 |
Mathematical Spaces |
3 |
|
MATH 3205 |
Partial
Differential Equations |
3 |
|
MATH 3206 |
Real
Analysis - II |
3 |
|
Year
4 |
|
Semester VII |
|
Course
Code |
Course
Title |
Credit
Hours |
|
MATH 4101 |
Functional
Analysis |
3 |
|
|
Elective
Course-I |
3 |
|
|
Elective
Course-II |
3 |
|
MATH 4299 |
Research
Project/Dissertation |
3 |
|
Students can opt one of the
following Elective Course |
|
MATH 4102 |
Abstract Algebra I |
3 |
|
MATH 4103 |
Advanced
Calculus-I (Numerical
Solutions of PDE) |
3 |
|
MATH 4104 |
Advanced
Numerical Analysis - I |
3 |
|
MATH 4105 |
Astronomy -
I |
3 |
|
MATH 4106 |
Differential Geometry - I |
3 |
|
MATH 4107 |
Electromagnetism - I |
3 |
|
MATH 4108 |
Fluid
Dynamics - I |
3 |
|
MATH 4109 |
Group
Theory - I (Fundamentals) |
3 |
|
MATH 4110 |
History and
Philosophy of Mathematics-I |
3 |
|
MATH 4111 |
Measure
Theory - I |
3 |
|
MATH 4112 |
Modern
Algebra - I (Galios Theory & Applications) |
3 |
|
MATH 4113 |
Non-Linear
Systems - I |
3 |
|
MATH 4114 |
Numerical
Solutions
of Partial Differential Equations-I |
3 |
|
MATH 4115 |
Operation
Research - I |
3 |
|
MATH 4116 |
Projective
Geometry - I |
3 |
|
MATH 4117 |
Quantum
Mechanics - I |
3 |
|
MATH 4118 |
Relativity
- I |
3 |
|
MATH 4119 |
Software
Engineering - I (Design and Development) |
3 |
|
MATH 4120 |
Theory of
Processes - I |
3 |
|
MATH 4121 |
Theory of
Splines - I |
3 |
|
MATH 4122 |
Topology -
I (Topological Dimension Theory) |
3 |
|
Semester VIII |
|
MATH 4201 |
Modeling &
Simulation |
3 |
|
MATH 4202 |
Optimization Theory |
3 |
|
|
Elective
Course |
3 |
|
MATH 4299 |
Research Project/Dissertation |
3 |
|
Students can opt one of the
following Elective Course |
|
MATH 4203 |
Abstract Algebra II |
3 |
|
MATH 4204 |
Advanced
Calculus-II (Integral
Equations) |
3 |
|
MATH 4205 |
Advanced
Numerical Analysis - II |
3 |
|
MATH 4206 |
Astronomy -
II |
3 |
|
MATH 4207 |
Differential Geometry - II |
3 |
|
MATH 4208 |
Electromagnetism - II |
3 |
|
MATH 4209 |
Fluid
Dynamics - II |
3 |
|
MATH 4210 |
Group
Theory - II (Study of Symmetries) |
3 |
|
MATH 4211 |
History and
Philosophy of Mathematics - II |
3 |
|
MATH 4212 |
Measure
Theory - II |
3 |
|
MATH 4213 |
Modern
Algebra - II (Commutative Rings and Fields) |
3 |
|
MATH 4214 |
Non-Linear
Systems - II |
3 |
|
MATH 4215 |
Numerical
Solutions
of Partial Differential Equations-II |
3 |
|
MATH 4216 |
Operation
Research - II |
3 |
|
MATH 4217 |
Projective
Geometry - II |
3 |
|
MATH 4218 |
Quantum
Mechanics - II |
3 |
|
MATH 4219 |
Relativity
- II |
3 |
|
MATH 4220 |
Software
Engineering - II (Analysis) |
3 |
|
MATH 4221 |
Theory of
Processes - II |
3 |
|
MATH 4222 |
Theory of
Splines - II |
3 |
|
MATH 4223 |
Topology -
II (Differential Topological) |
3 |
M.Phil Mathematics
|
Year - I |
|
Semester I |
|
Course
Code |
Course
Title |
Credit
Hours |
|
|
Students will study
Two Core Courses |
3+3 |
|
|
Students will study
Two Optional Courses |
3+3 |
|
Semester II |
|
|
Students will study Four
Optional Courses |
3+3+3+3 |
|
Year - II |
|
Semester III & IV |
|
Course
Code |
Course
Title |
Credit
Hours |
|
MATH-7499 |
Thesis |
12 |
|
Core Subjects |
|
MATH-7101 |
Advanced Topology |
3 |
|
MATH-7102 |
Algebraic Geometry |
3 |
|
MATH-7103 |
Foundation of Mathematics |
3 |
|
MATH-7104 |
Functional Analysis in Applied Mathematics and Engineering |
3 |
|
MATH-7105 |
Numerical analysis |
3 |
|
Optional Subjects |
|
MATH-7106 |
Advanced Group Theory |
3 |
|
MATH-7107 |
Advance Ring Theory |
3 |
|
MATH-7108 |
Algebraic Topology |
3 |
|
MATH-7109 |
Algebraic Number Theory |
3 |
|
MATH-7110 |
Approximation Theory |
3 |
|
MATH-7111 |
Commutative Algebras |
3 |
|
MATH-7112 |
Computer Algebra |
3 |
|
MATH-7113 |
Constructive Approximation |
3 |
|
MATH-7114 |
C*-algebras |
3 |
|
MATH-7115 |
Differential Topology |
3 |
|
MATH-7116 |
Di Topology |
3 |
|
MATH-7117 |
Distribution Theory |
3 |
|
MATH-7118 |
Fixed Point Theory |
3 |
|
MATH-7119 |
Fourier Analysis and its Applications in Signal Analysis and
Image Processing |
3 |
|
Math-7120 |
Galois Theory |
3 |
|
Math-7121 |
Geo Mathematics |
3 |
|
Math-7122 |
Generalization of Groups |
3 |
|
Math-7123 |
Graph Theory and Applications |
3 |
|
Math-7124 |
Inverse Problem |
3 |
|
Math-7125 |
Interpolation through Wavelets and Saplines |
3 |
|
Math-7126 |
Knot Theory |
3 |
|
Math-7127 |
Spectral Theory in Hilbert Spaces |
3 |
|
Math-7128 |
Special Functions and their applications |
3 |
|
Math-7129 |
Theory of Splines |
3 |
|
Math-7130 |
Theory of Wavelets |
3 |
|
Math-7131 |
Theory of Differential Equations |
3 |
|
Math-7132 |
Theory of Relativity |
3 |
|
Math-7133 |
Numerical Approximation Theory |
3 |
|
Math-7134 |
Numerical Solution of Partial Differential Equations |
3 |
|
Math-7135 |
Non linear Dynamics and Control theory |
3 |
|
Math-7136 |
Valuation Theory |
3 |
Note: An optional course will
be offered subject to availability of the instructor.
Faculty
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|
Name |
Designation |
Area of Interest |
|
Prof.
Dr. Muhammad Aslam,
PhD (QAU) |
Chairperson/Professor
|
Theory of Ring, BCK Algebra
and their Generalisations, Theory of Semi-rings |
|
Dr. Muhammad Akram,
M.Phil (BZU), PhD, (Univ. of
Kaiserslautern Germany) |
Associate Professor |
Open Mapping and Fixed Point
Theorems |
|
Dr. Muhhamad Maroof Gohar,
PhD (Hacettepe) |
Assistant Professor |
Compactness in Ditopological
Texture Spaces |
|
Dr. Khurram Shabbir,
PhD (GCUL), Postdoctoral from
IM-UNAM Mexico |
Assistant Professor |
Singularity Theory; Algebraic
Topology; Mathematical Physics |
|
Dr.
Saifullah,
PhD (GCUL) |
Assistant Professor |
Control Theory Application in
Non-linear Dynamics; Fluid Mechanics |
|
Dr.
Asim Naseem,
MCS, MCP, M.Sc. Mathematics (UET),
Ph.D (ASSMS GCU) |
Assistant Professor |
Valuation Theory, Theory of
fields and polynomials |
|
Dr. Nahid Akhtar,
Ph.D (Germany), M.Phil, M.Sc.
(GCU) |
Assistant Professor |
Approximation Techniques and
Functional Analysis |
|
Dr. Azhar Iqbal Kashif Butt,
MSc. M.Phil. (QAU) MIT, PMAS-AAU
Rawalpindi, PhD Mathematics (Industrial), Germany,
|
Assistant Professor |
Numerical treatment of
Differential Equations, optimization with PDE constrains |
|
Tanveer Iqbal,
MPhil (PU) |
Lecturer |
General Relativity |
|
Ms. Qaisra Fazal,
MPhil (PU) |
Lecturer |
Spline Theory |
|
Azhar Ali Zafar,
(on study leave)
MPhil (GCUL) |
Lecturer |
Fixed Point Theory,
Mathematical Statistics |
|
Muhammad Zulfiqar, (on PhD Study Leave)
MPhil (GCUL) |
Lecturer |
Radicals of Semi-rings Radical
Theory |
|
Dr. Hasan Mahmood,
PhD (GCUL) |
Lecturer |
Algebraic Topology
|
|
Tariq Ismaeel, (on PhD Study Leave to China)
MPhil (PU) |
Lecturer |
General Relativity |
|
Tanveer Sohail,
MPhil (GCUL) |
Lecturer |
|
|
Ghulam Meram Shah,
MSc (ULM) |
Lecturer |
|
|
Visiting Faculty |
|
Tahir Saeed Mir,
MSc (PU), M.Phil (QAU) |
|
Syed Rizwan Ahmed,
MSc (PU) |
|
Javed Iqbal Khan,
MSc (PU) |
Journals & Publications
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The "Journal of Natural Sciences and Mathematics"
is published under the Departments of Mathematics GC University, Lahore
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