Courses

 

Course Code Course Title Credit Hours (Theory) Credit Hours (Practical)
B. Sc. (Hons) First Years
Semester - I
300.1 (Comp.) Pakistan Studies (Compulsory) 3 0
301 (H) Algebra 3 0
Semester - II
300.2 (Comp.) English (Compulsory) 3 0
302 (H) Calculus 3 0
Semester - III
400.1 (Comp.) Islamic Studies (Compulsory) 3 0
401 (H) Geometry 3 0
403 (H) Data Processing & Programming-I 2 1
Semester - IV
400.2 (Comp.) Urdu (Compulsory) 3 0
402 (H) Mechanics 3 0
404 (H) Data Processing & Programming-II 2 1
Semester - V
501 Analysis - I 3 0
503 Algebra - I 3 0
505 Numerical Analysis - I 2 1
507 Applicable Differential Geometry - I 3 0
509 Methods of Mathematical Physics - I 3 0
Semester - VI
502 Analysis - II 3 0
504 Algebra - II 3 0
506 Numerical Analysis - II 2 1
508 Applicable Differential Geometry - II 3 0
510 Methods of Mathematical Physics - II 3 0
Semester - VII
601 Abstract Algebra 3 0
603 Commutative Rings 3 0
605 Measure Theory – I 3 0
609 Bio Mathematics – I 3 0
611 Functional Analysis – I 3 0
615 Summability Theory – I 3 0
621 Algebraic Topology – I 3 0
631 Numerical Analysis – I 2 1
633 Mathematical Statistics – I 3 0
637 Applied Algebra – I 2 1
643 Complex Analysis  – I 3 0
645 Operations Research – I 2 1
647 Projective Geometry – I 3 0
649 Stochastic Processes 3 0
651 Classical Mechanics – I  3 0
653 Integral Equations 3 0
655 Fluid Dynamics – I 2 1
657 Nonlinear Systems – I 3 0
661 Electromagnetics - I 3 0
663 Software Engineering 2 1
665 Quantum Mechanics - I 3 0
671 Relativity - I 3 0
685 Astronomy - I 3 0
Semester - VIII
602 Glaois Theory and Its Applications 3 0
604 Field Theory 3 0
606 Measure Theory – II 3 0
610 Bio Mathematics – II 3 0
612 Functional Analysis – II 3 0
616 Summability Theory – II 3 0
622 Algebraic Topology – II 3 0
632 Numerical Analysis – II 2 1
634 Mathematical Statistics – II 3 0
638 Applied Algebra – II 2 1
644 Complex Variable  – II 3 0
646 Operations Research – II 2 1
648 Projective Geometry – II 3 0
650 Renewal Processes & Theory of Queues 3 0
652 Classical Mechanics – II 3 0
654 Partial Differential Equations 3 0
656 Fluid Dynamics – II 2 1
658 Nonlinear Systems – II 3 0
662 Electromagnetics – II 3 0
664 Software Programming & Analysis 2 1
666 Quantum Mechanics - II 3 0
672 Relativity - II 3 0
686 Astronomy - II 3 0
Four Year Degree Program BS (Financial Mathematics)
Semester - I
FM-300.1 Pakistan Studies (Compulsory) 3 0
FM-301 Pre-Calculus 3 0
FM-303 Introductory Statistics for Business 2 1
FM-305 Microeconomics 3 0
FM-307 Business Mathematics 3 0
Semester - II
FM-300.2 English (Compulsory) 3 0
FM-302 Calculus with Applications 3 0
FM-304 Multivariate Statistical Analysis 2 1
FM-306 Macroeconomics 3 0
FM-308 Introduction  to Business Finance 3 0
Semester - III
FM-400.1 Islamic Studies (Compulsory) 3 0
FM-401 Mathematical Methods 3 0
FM-403 Inferential Statistics for Business 2 1
FM-405 Money, Banking and Trade 3 0
FM-407 Financial Accounting-I 3 0
FM-409 Programming Language-I 2 1
Semester - IV
FM-400.2 Urdu (Compulsory) 3 0
FM-402 Multivariate Calculus and Geometry 3 0
FM-404 Quantitative Methods in Business 2 1
FM-406 Pakistan Economics 3 0
FM-408 Financial Accounting-II 3 0
FM-410 Programming Language-II 2 1
Semester - V
FM-501 Real and Complex Analysis 3 0
FM-503 Linear Algebra with Applications 3 0
FM-505 Numerical Analysis - I 3 0
FM-507 Differential Equations-I 3 0
FM-509 Cost and Management Accounting-I 3 0
Semester - VI
FM-502 Actuarial Mathematics 3 0
FM-504 Discrete Mathematics 3 0
FM-506 Numerical Analysis – II 3 0
FM-508 Differential Equations-II 3 0
FM-510 Cost and Management Accounting-II 3 0
Semester - VII
FM-601 Operations Research 2 1
FM-603 Financial Derivatives 3 0
FM-605 Stochastic Processes 3 0
  Optional-I    
  Optional-I    
Optional Courses For Semester - VII
FM-607 Corporate Finance 3 0
FM-609 Management Information System 3 0
FM-611 Discrete time Modelling and Derivative Security 3 0
FM-613 Principles of Risk 3 0
FM-615 Equities Foreign Exchange and Commodities Modelling 3 0
FM-617 Financial Computer Simulation-I 2 1
FM-619 Analysis of Financial Time Series 3 0
Semester - VIII
FM-602 Analysis of Financial Report Writing 3 0
FM-604 Portfolio theory and Management 3 0
FM-606 Stochastic Calculus 3 0
  Optional-II    
  Optional-II    
Optional Courses For Semester - VIII
FM-608 Games, Markets and Information 3 0
FM-610 Financial Modelling and Stmulation 3 0
FM-612 Life Insurance and Institutional Investment 3 0
FM-614 Global Financial Market 3 0
FM-616 Interest Rate and Credit Modelling 3 0
FM-618 Financial Computer Simulation-II 2 1
Four Year Degree Program BS (Computational Mathematics)
Semester - I
CM-300.1 Pakistan Studies (Compulsory) 3 0
CM-301 Algebra 3 0
CM-303 Number Theory 3 0
STA 301 Subsidiary-I (Statistics) 2 1
Phy 301 / SST 301 Subsidiary-II (Physics / ISST) 2 1
Semester - II
CM-300.2 English (Compulsory) 3 0
CM-302 Calculus 3 0
CM-304 Discrete Mathematics 3 0
STA 302 Subsidiary-I (Statistics) 2 1
Phy 302 / SST 302 Subsidiary-II (Physics / ISST) 2 1
Semester - III
CM-400.1 Islamic Studies (Compulsory) 3 0
CM-401 Multivariable Calculus and Geometry 3 0
CM-403 Tensors and Fourier Analysis 3 0
CM-405 Functional Biology-I 3 0
STA 401 Subsidiary-I (Statistics) 2 1
Phy 401 / SST 401 Subsidiary-II (Physics / ISST) 2 1
Semester - IV
CM-400.2 Urdu (Compulsory) 3 0
CM-402 Mechanics 3 0
CM-404 Set Topology 3 0
CM-406 Functional Biology-II 3 0
STA 402 Subsidiary-I (Statistics) 2 1
Phy 402 / SST 402 Subsidiary-II (Physics / ISST) 2 1
Semester - V
CM-501 Mathematical Analysis 3 0
CM-503 Linear Algebra 3 0
CM-505 Differential Equations 3 0
CM-507 Fluid Dynamics-I 3 0
CM-509 Programming Language-I 2 1
Semester - VI
CM-502 Functional Anallysis 3 0
CM-504 Probability & Statistics 3 0
CM-506 Numerical Analysis 3 0
CM-508 Fluid Dynamics-II 3 0
CM-510 Programming Language-II 2 1
Semester - VII
CM-601 Advanced Partial Differential Equations 3 0
CM-603 Advanced Numerical Analysis 3 0
CM-605 Modelling & Simulation 3 0
CM-607 Software Applications-I 2 1
Optional-I Courses For Semester - VII
CM-609 Perturbation Methods-I 3 0
CM-611 Fractional Calculus-I 3 0
CM-613 Boundary Layer Theory-I 3 0
CM-615 Fuzzy Mathematics-I 3 0
CM-617 Graph Theory & Applications-I 2 1
CM-619 Bioinformatics 2 1
CM-621 Computational Finance 2 1
CM-623 Operations Research-I 2 1
CM-625 Computational  Fluid Dynamics-I 2 1
CM-627 Numerical Linear Algebra-I 2 1
Semester- VIII
CM-602 Integral Equations 3 0
CM-604 Stochastic Process 3 0
CM-606 Wavelets 3 0
CM-608 Software Applications-II 2 1
Optional-II Courses For Semester - VII
CM-610 Perturbation Methods-II 3 0
CM-612 Fractional Calculus-II 3 0
CM-614 Boundary Layer Theory-II 3 0
CM-616 Fuzzy Mathematics-II 3 0
CM-618 Graph Theory & Applications-I 2 1
CM-620 Cryptography 2 1
CM-622 Data Mining 2 1
CM-624 Operations Research-II 2 1
CM-626 Computational  Fluid Dynamics-II 2 1
CM-628 Numerical Linear Algebra-I 2 1
Four Year BS Degree Program
Semester - I
M-301 Algebra 3 0
M-303 Methematical Logic and Number Theory 3 0
Semester - II
M-302 Calculus 3 0
M-304 Introduction to Computer Programming 2 1
Semester - III
M-401 Multivariable Calculus and Geometry 3 0
M-403 Discrete Mathematics and Graphs Theory 3 0
Semester - III
M-402 Mechanics 3 0
M-404 Topology 3 0
Semester - VI
M-501 Real Analysis 3 0
M-503 Linear Algebra 3 0
M-505 Numerical Analysis-I 2 1
M-507 Differential Geometry 3 0
M-509 Methods of Mathematical Physics 3 0
Semester - VI
M-502 Complex Analysis 3 0
M-504 Abstract Algebra 3 0
M-506 Numerical Analysis-II 2 1
M-508 Functional Analysis-I 3 0
M-510 Integral Transforms and Special Functions 3 0
Semester - VII (Pure Mathematics Courses)
M-601 Theory of Rings & Modules 3 0
M-605 Measure Theory-I 3 0
M-611 Functional Analysis-II 3 0
  Optional - I    
  Optional - II    
Semester - VIII (Pure Mathematics Courses)
M-602 Galois Theory and its Applications 3 0
M-606 Measure Theory-II 3 0
M-612 Algebraic Topology 3 0
  Optional - I    
  Optional - II    
Semester - VII (Applied Mathematics Courses)
M-651 Classical Mechanics-I 3 0
M-655 Fluid Dynamics-I 3 0
M-653 Tensor Analysis 3 0
  Optional - I    
  Optional - II    
Semester - VIII (Applied Mathematics Courses)
M-651 Classical Mechanics-II 3 0
M-655 Fluid Dynamics-II 3 0
M-653 Partial Differential Equations 3 0
  Optional - I    
  Optional - II    
Semester - VII (Optional Courses)(Only for Pure Mathematics Students)
M-615 Summability Theory-I 3 0
M-647 Projective Geometry-I 3 0
Semester - VII (Optional Courses)(Only for Applied Mathematics Students)
M-661 Electromagnetics-I 3 0
M-671 Relativity-I 3 0
M-685 Astronomy-I 3 0
Semester - VII (Optional Courses)(Only for Applied & Pure Mathematics Students)
M-631 Numerical Methods 3 0
M-633 Methmatical Statistics-I 3 0
M-637 Applied Algebra-I 2 1
M-645 Operations Research-I 3 0
M-649 Stochastic Processes 3 0
M-657 Nonlinear Systems-I 3 0
M-687 Advance Statistics-I 3 0
M-689 Methematical Finance-I 3 0
M-691 Biological Modeling 3 0
M-693 Optimization Theory 3 0
M-695 Computational Number Theory 3 0
M-697 Acturial Mathematics-I 3 0
Semester - VIII (Optional Courses)(Only for Pure Mathematics Students)
M-616 Summability Theory-II 3 0
M-648 Projective Geometry-II 3 0
Semester - VIII (Optional Courses)(Only for Applied Mathematics Students)
M-662 Electromagnetics-II 3 0
M-672 Relativity-II 3 0
M-686 Astronomy-II 3 0
Semester - VIII (Optional Courses)(Only for Applied & Pure Mathematics Students)
M-632 Integral Equations 3 0
M-634 Methmatical Statistics-II 3 0
M-638 Applied Algebra-II 2 1
M-646 Operations Research-II 3 0
M-650 Stochastic Processes 3 0
M-658 Nonlinear Systems-II 3 0
M-688 Advance Statistics-II 3 0
M-690 Methematical Finance-II 3 0
M-692 Discrete Maps 3 0
M-694 Machine Learning & Data Science 2 1
M-696 Scientific Computing 2 1
M-698 Acturial Mathematics-II 3 0
Note: 01.Courses M-301, M-302, M-401, M-402 for Subsidiary Students.
02. Courses M-633 may be opted by those students who studied B.A./B. Sc. Without minor Statistics, however M-687, M-688 be opted by those students who studied B.A./B. Sc. With minor Statistics.
03. The Optional Course M-691 to M-696 are independent Courses.
04. A Student who transfer from any department to MathematicsDepartment (as a Major Subject) must Pass the courses M-303 and m-304 in second / third year.

 

Applied Mathematics M. Phil Program
Semester – I
MTHN-701 Differential Geometric Techniques-I 3 0
MTHN-703 Differential Equations-I 3 0
MTHN-705 Group Theory & Symmetries 3 0
MTHN-707 Lie Algebra-I 3 0
MTHN-709 Topics in Fluid Dynamics-I 3 0
MTHN-711 Classical Electrodynamics-I 3 0
MTHN-713 Topics in Relativity-I 3 0
MTHN-715 Some Exact Solutions Of Einstein’s Vacuum Field Equations 3 0
MTHN-717 Continuum Mechanics-I 3 0
MTHN-719 Classical Field Theory-I 3 0
MTHN-721 Topics in Quantum Mechanics-I 3 0
MTHN-723 Quantum Field Theory-I 3 0
MTHN-725 Representation Theory-I 3 0
MTHN-727 Gauge Theory Of Gravitation-I 3 0
MTHN-729 Topics in Numerical Analysis-I 3 0
MTHN-731 Plasma Dynamics-I 3 0
MTHN-733 Atmospheric Study-I 3 0
MTHN-735 Solar-System Astrophysics 3 0
MTHN-737 Extra-Galactic Astronomy 3 0
MTHN-747 Operations Research-I 3 0
MTHN-751 General Topology-I 3 0
MTHN-753 Topological-Dimension Theory 3 0
MTHN-755 Topological Groups-I 3 0
MTHN-757 Functional Analysis-I 3 0
MTHN-759 Combina Rorics & Measure Theory-I 3 0
MTHN-761 Summability Theory-I 3 0
MTHN-763 Fouries Series-I 3 0
MTHN-765 Almost Periodic Functions-I 3 0
MTHN-767 Homological Algebra-I 3 0
MTHN-769 Abelian Groups 3 0
MTHN-771 Theory of Rings-I 3 0
MTHN-773 Special Classes of Rings-I 3 0
MTHN-775 Near Rings 3 0
MTHN-777 Galois Theory & Applications-I 3 0
Semester – II
MTHN-702 Differential Geometric Techniques-II 3 0
MTHN-704 Differential Equations-II 3 0
MTHN-708 Lie Algebra-II 3 0
MTHN-710 Topics in Fluid Dynamics-II 3 0
MTHN-712 Classical Electrodynamics-II 3 0
MTHN-714 Topics in Relativity-II 3 0
MTHN-718 Continuum Mechanics-II 3 0
MTHN-720 Classical Field Theory-II 3 0
MTHN-722 Topics in Quantum Mechanics-II 3 0
MTHN-724 Quantum Field Theory-II 3 0
MTHN-726 Representation Theory-II 3 0
MTHN-728 Gauge Theory of Gravitation-II 3 0
MTHN-730 Topics in Numerical Analysis-II 3 0
MTHN-732 Plasma Dynamics-II 3 0
MTHN-734 Atmospheric Study-II 3 0
MTHN-736 Stellar & Galactic Astronomy 3 0
MTHN-738 Cosmology 3 0
MTHN-748 Operations Research-II 3 0
MTHN-752 General Topology-II 3 0
MTHN-754 Differential Topology 3 0
MTHN-756 Topological Groups-II 3 0
MTHN-758 Functional Analysis-II 3 0
MTHN-760 Combina Torics & Measure Theory-II 3 0
MTHN-762 Summability Theory-II 3 0
MTHN-764 Fouries Series-II 3 0
MTHN-766 Almost Periodic Functions-II 3 0
MTHN-768 Homological Algebra-II 3 0
MTHN-770 Soluble & Nilpotent Groups 3 0
MTHN-772 Theory of Rings-II 3 0
MTHN-774 Special Classes of Rings-II 3 0
MTHN-776 Special Classes of Near Rings 3 0
MTHN-778 Galois Theory & Applications-II 3 0
New M. Phil Program
Semester - I
ASR 701 Research Methodology-I 3 0
MATH-703 Compressible Flow-I       2 1
MATH-705 Fourier Series-I 3 0
MATH-707 Homological Algebra-I 3 0
MATH-709 Abelian Groups 3 0
MATH-711 Theory of Rings-I 3 0
MATH-713 Near Rings 3 0
MATH-715 Galois Theory and Applications-I 3 0
MATH-717 Astrodynamics-I 3 0
MATH-719 Abelian Groups-I 3 0
MATH-721 Integral Equation 3 0
MATH-723 Non-linear System-I 3 0
MATH-749 Convex Analysis-I 3 0
MTHN-779 Geometry-I 3 0
MTHN-781 Number Theory-I 3 0
MTHN-783 Coding Theory-I 3 0
Semester - II
ASR 702 Research Methodology-II 3 0
MATH-704 Compressible Flow-II       2 1
MATH-706 Fourier Series-II 3 0
MATH-708 Homological Algebra-II 3 0
MATH-710 Soluble and Nilpotent Groups 3 0
MATH-712 Theory of Rings-II 3 0
MATH-714 Special Classes of Rings 3 0
MATH-716 Galois Theory and Applications-II 3 0
MATH-718 Astrodynamics-II 3 0
MATH-720 Abelian groups-II 3 0
MATH-722 Partial Differential Equation 3 0
MATH-724 Non-linear System-II 3 0
MATH-750 Convex Analysis-II 3 0
MATH-780 Geometry-II 3 0
MATH-782 Number Theory-II 3 0
MATH-784 Coding Theory-II 3 0
Ph. D. Program
Semester - I
MATH-801 Computational Methods for Fluid Flow-I 3 0
MATH-803 Modelling and Simulation of Biological Systems-I 3 0
MATH-805 Special Classes of Rings-I 3 0
MATH-807 Stochastic Processes 3 0
MATH-809 Theory of Mathematical Inequalities and Applications-I 3 0
MATH-813 Theory of Matrix Rings and Matrix Near Rings-I 3 0
MATH-815 Mathematical Biosciences 3 0
MATH-817 Optimization Algorithms 3 0
Semester - II
MATH-802 Computational Methods for Fluid Flow-II 3 0
MATH-804 Modelling and Simulation of Biological Systems-II 3 0
MATH-806 Special Classes of Rings-II 3 0
MATH-808 Renewal Processes and Queuing Theory 3 0
MATH-810 Theory of Mathematical Inequalities and Applications-II 3 0
MATH-814 Theory of Matrix Rings and Matrix Near Rings-II 3 0
MATH-816 Mathematical Epidemiology 3 0