Vice Chancellor: Prof. (Meritorious) Dr. M. Khaleeq-ur-Rahman, Izaz-i-Kamal

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Since 02-08-13

Department of Mathematics

 

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 (2007–2011)

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:

  • B.Sc (Hons)

  • M.Sc (Evening Programme)

  • MPhil

  • PhD

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:

  • Algebraic Topology

  • BCK Algebra, Semi Rings

  • Control Theory

  • Fixed Point Theory

  • Geo Mathematics

  • Group Theory and Algebraic Modeling

  • Industrial Mathematics

  • Radical Theory of Rings

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

Dr. Shahid Ahmed

Assistant Professor

 

 
Dr. Nayyer Iqbal

Assistant Professor

 

 

Dr. Hasan Mahmood,

PhD (GCUL)

Lecturer

Commutative Algebra, Algebraic Combinatorics, Homological Algebra, Algebraic Systems Theory

Tanveer Iqbal,

MPhil (PU)

Lecturer

General Relativity

Ms. Qaisra Fazal,  

MPhil (PU)

Lecturer

Spline Theory

Dr. Azhar Ali Zafar,

Ph.D (GCUL)

Lecturer

Fluid Mechanics, Fixed Point Theory, Mathematical Statistics

Muhammad Zulfiqar, (on PhD Study Leave)

MPhil (GCUL)

Lecturer

Radicals of Semi-rings Radical Theory

Tariq Ismaeel, (on PhD Study Leave to China) 

MPhil (PU)

Lecturer

General Relativity

Visiting/Adjunct Faculty

Syed Rizwan Ahmed,

MSc (PU)

Iqbal Akhtar

 

 

Journals & Publications

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The "Journal of Natural Sciences and Mathematics" is published under the Departments of Mathematics GC University, Lahore

 

 

Contact Us

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Prof. Dr. Muhammad Aslam

Chairperson

Department of Mathematics

GC University, Lahore

UAN: +92 (42) 111-000-010 Ext: 291

Email: aslam298@gcu.edu.pk

 

 


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