INTRODUCTION
The Department is the oldest centre of Mathematics in the northwestern 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 Prepartition 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 19441946), 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.
Professors as Chairpersons
During the last 82 years, the Department has had the following Professors as Chairpersons  
Prof. S. Chawla (1935 – 1947)  Prof. S. A. Hamid (1947 – 1951) 
Prof. Abdus Salam (1951 – 1952)  Prof. Lal Mohammad Chawla (19521955,19571965,19671969) 
Prof. Sultan Bukhsh (1955 – 1957)  Prof. M. A. Saeed (19651967) 
Prof. M. Yasin (19691970)  Prof. Capt. Abdul Majeed (19701973) 
Prof. Dr. Mirza M. Ahmed (19731974)  Prof. Dr. Munawar Hussain (19741982) 
Prof. Mohammad Amin (19821988)  Prof. Mohammad Hafeez (1988 – 1995) 
Prof. Dr. Karamat H Dar (1995 – 2001)  Prof. Dr. Akhlaq A. Siddiqul (20012004) 
Prof. Dr. Muhammad Aslam (20042007)  Prof. Karamat Hussain Dar (2007–2011) 
Mr. Tahir Saeed Mir (2011)  Prof. Dr. Muhammad Aslam (20112015) 
Dr. Maroof Gohar(Incharge) (20152017)  Prof. Dr. Mujahid Abbas (2017 – ) 
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 lzazeSabqat, 2002 and the Rhodes Scholarship, 2003 for DPhil at the University of Oxford.
FACILITIES
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.
Programme Aim
The Department of Mathematics offers following programmes:
 B.Sc (Hons)
 M.Sc (Evening Programme)
 MPhil
 PhD
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.
 The applicant should have obtained at least 60% marks in Intermediate or Diploma of Associate Engineers/BTech. (Pass) in Electrical or Electronics or Instrument Technology/ Telecom / Avionics / IT / Precision Mechanical & Instrument / Radar Technology / Radio Technology / Automation / Instrumentation Process Control.
 The applicant must have passed the entry test for admission to engineering institutions, arranged by the University of Engineering and Technology, Lahore, for the academic session to which the applicant is seeking admission.
 The applicant should not have 3rd division throughout his/her academic career.
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
Year – 1  
Semester – I 

Course Code 
Course Title 
Credit Hours 
MATH – 1101  Calculus– I (Major Course) 
3 
MATH – 1102  Discrete Structures (Major Course) 
3 
ALMATH – 1101 
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 
ALMATH1201 
Pre Calculus (Allied Course) 
3 
ALMATH1202 
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 
ALMATH2203 
Optimization Theory I (for students of Economics, Statistics and Business Accounting & Finance) 
3 
ALMATH2204 
Coordinate Geometry (for students of Physics and Electronics) 
3 
ALMATH2205 
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 AnalysisI 
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 CourseI 
3 

Elective CourseII 
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 CalculusI (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 MathematicsI 
3 
MATH – 4111  Measure Theory – I 
3 
MATH – 4112  Modern Algebra – I (Galios Theory & Applications) 
3 
MATH – 4113  NonLinear Systems – I 
3 
MATH – 4114  Numerical Solutions of Partial Differential EquationsI 
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 CalculusII (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  NonLinear Systems – II 
3 
MATH – 4215  Numerical Solutions of Partial Differential EquationsII 
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 
Year – I 

Semester – I 

Course Code 
Course Title 
Credit Hours 
MATH – 301  Real Analysis – I 
3 
MATH – 302  Abstract Algebra 
3 
MATH – 303  Complex Analysis 
3 
MATH – 304  Ordinary Differential Equations 
3 
MATH – 305  Vector and Pencil Analysis 
3 
MATH – 306  Discrete Structures & Computer Tools 
3 
Semester – II 

MATH – 351  Real Analysis – II  3 
MATH – 352  Typology  3 
MATH – 353  Numerical Analysis – I  3 
MATH – 354  Classical Mechanics  3 
MATH – 355  Linear Algebra  3 
MATH – 356  Partial Differential Equations  3 
Year – 2 

Semester – III 

Course Code 
Course Title 
Credit Hours 
MATH – 401  Measure Theory 
3 
MATH – 402  Functional Analysis 
3 
MATH – 403  Numerical Analysis – II 
3 
MATH – 404  Mathematical Statistics – I 
3 
Optional Course 
3 

Optional Course 
3 

Optional Course 

MATH – 405  Advanced Abstract Algebra – I  3 
MATH – 406  Advanced Calculus – I (Numerical Solution of PDE)  3 
MATH – 407  Advanced Numerical Analysis  3 
MATH – 408  Astronomy – I  3 
MATH – 409  Advanced Differential Geometry – I  3 
MATH – 410  Electromagnetism – I  3 
MATH – 411  Fluid Dynamics – I  3 
MATH – 412  Modern Algebra – I (Galios Theory & Applications)  3 
MATH – 413  NonLinear System – I  3 
MATH – 414  Numerical Solutions of Partial Differential Equations – I  3 
MATH – 415  Operation Research – I  3 
MATH – 416  Projective Geometry – I  3 
MATH – 417  Relativity – I  3 
MATH – 418  Software Engineering – I (Design & Development)  3 
MATH – 419  Rings and Modules  3 
Semester – IV 

Course Code 
Course Title 
Credit Hours 
MATH – 451  Mathematical Statistics 
3 
MATH – 452  Differential Geometry 
3 
MATH – 453  Graph Theory 
3 
MATH – 454  Mathematical Statistics – II 
3 
Optional Course 
3 

Optional Course 
3 

Optional Course 

MATH – 455  Advanced Abstract Algebra – II  3 
MATH – 456  Advanced Calculus – II (Integral Equations)  3 
MATH – 457  Advanced Numerical Analysis – II  3 
MATH – 458  Astronomy – II  3 
MATH – 459  Advanced Differential Geometry – II  3 
MATH – 460  Electromagnetism – II  3 
MATH – 461  Fluid Dynamics – II  3 
MATH – 462  Modern Algebra – II  3 
MATH – 463  NonLinear System – II  3 
MATH – 464  Numerical Solutions of Partial Differential Equations – II  3 
MATH – 465  Operation Research – II  3 
MATH – 466  Projective Geometry – II  3 
MATH – 467  Relativity – II  3 
MATH – 468  Software Engineering – II (Design & Development)  3 
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 
MATH7299  Thesis 
12 
Core Subjects  
MATH7101 
Advanced Topology 
3 
MATH7103 
Advanced Algebra 
3 
MATH7102 
Algebraic Geometry 
3 
MATH7104 
Advance Functional Analysis 
3 
MATH7105 
Numerical analysis 
3 
Optional Subjects for M. Phil/PhD Programmes  
MATH7106 
Advanced Group Theory 
3 
MATH7108 
Algebraic Topology 
3 
MATH7109 
Algebraic Number Theory 
3 
MATH7110 
Approximation Theory 
3 
MATH7111 
Commutative Algebras 
3 
MATH7112 
Computer Algebra 
3 
MATH7113 
Constructive Approximation 
3 
MATH7115 
Differential Topology 
3 
MATH7116 
Di Topology 
3 
MATH7117 
Distribution Theory 
3 
MATH7119 
Fourier Analysis and its Applications in Signal Analysis and Image Processing 
3 
Math7120 
Galois Theory 
3 
Math7121 
Geo Mathematics 
3 
Math7123 
Graph Theory and Applications 
3 
Math7124 
Inverse Problem 
3 
Math7126 
Knot Theory 
3 
Math7128 
Advanced Special Functions and their applications 
3 
Math7133 
Numerical Approximation Theory 
3 
Math7134 
Numerical Solution of Partial Differential Equations 
3 
Math7135 
Non linear Dynamics and Control theory 
3 
Math7136 
Valuation Theory 
3 
Math7137 
Theory of Semi Rings 
3 
Math7138 
Fluid Dynamics 
3 
Math7139 
Discrete Mathematics 
3 
Math7140 
Number Theory 
3 
Math7141 
Theory of Semi Rings 
3 
Math7142 
Advanced Topics in Rings and Modules 
3 
Math7143 
Nonlinear Systems 
3 
Math7144 
Functional Mathematics 
3 
Math7145 
Homological Algebra 
3 
Math7146 
Graph Labeling 
3 
Math7147 
Numerical methods for Partial Differential Equations – I 
3 
Math7148 
Numerical methods for Partial Differential Equations – II 
3 
FACULTY
Prof. Dr. Mujahid Abbas
Ph.D (Universitat Politecnica De Valencia, Spain),
Ph.D Applied Mathematics (NCBAE, Lahore)
PostDoc (University of Birmingham),
PostDoc (Indiana University Bloomington),
Designation:
Chairperson / Professor
Dr. Khurram Shabbir,
PhD (GCUL), Postdoc (IMUNAM Mexico)
Designation:
Associate Professor
Dr. Saifullah Khalid,
PhD (GCUL)
Designation:
Associate Professor
Dr. Asim Naseem,
MCS, MCP, M.Sc. Mathematics (UET), Ph.D (ASSMS GCU)
Designation:
Assistant Professor
Dr. Muhammad Zulfiqar,
Ph D (QAU), MPhil (GCUL)
Designation:
Assistant Professor
Engr. Prof. Dr Noor Muhammad Sheikh
PhD Electrical Engineering (UET, Lahore)
Designation:
Professor
Dr. Azhar Iqbal Kashif Butt, (on Leave)
MSc. M.Phil. (QAU) MIT, PMASAAU Rawalpindi, PhD Mathematics (Industrial), Germany,
Designation:
Assistant Professor
Dr. Nahid Akhtar,
Ph.D (Germany), M.Phil, M.Sc. (GCU)
Designation:
Assistant Professor
Dr. Muhammad Zulfiqar,
Ph D (QAU), MPhil (GCUL)
Designation:
Assistant Professor
Dr. Tariq Ismaeel,
PhD (Xi’an P.R China), M.Phil.(PU)
Designation:
Assistant Professor
Dr. Waqas Nazeer,
Designation:
Assistant Professor
Mr. Hafiz Usman Afzal
M.Phil (GCU)
Designation:
Lecturer
Mr. Waheed Ahmad
M. Phil (GCUL), M. Sc (GCUF)
Designation:
Lecturer
Mr. Muhammad Aamir Javed
M.Phil (PU)
Designation:
Lecturer