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Scheme of Study

BS Mathematics and AD Mathematics

MODEL SCHEME OF STUDIES FOR BS (4-YEAR) IN MATHEMATICS

Semester-I

Sr.# Course Code Title of the Course Class Credit Hours
1 AAA-XXXX Logic-I Logic 3
2 AAA-XXXX Writing-I Writing 3
3 AAA-XXXX GAH-I General 3
4 AAA-XXXX GNS-I General 3
5 AAA-XXXX GSS-I General 3
6 PAKS-1113 Pakistan Studies Civilization 2
Total 17

Semester-II

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-1101 Calculus-I Foundation 3
2 AAA-XXXX GSS-II General 3
3 AAA-XXXX GAH-II General 3
4 AAA-XXXX GNS-II General 3
5 AAA-XXXX Writing-II Writing 3
6 Writing-II Logic-II Logic 3
Total 18

Semester- III

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-1102 Calculus-II Foundation 3
2 AAA-XXXX Writing-III Writing 3
3 MATH-2103 Linear Algebra Foundation 3
4 MATH-2106 Number Theory General 3
5 ISLS/ETIC-1112 Islamic Studies/Ethics Civilization 2
Total 14

Semester- IV

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-2104 Affine & Euclidean Geometry Foundation 3
2 MATH-2101 Calculus-III Foundation 3
3 MATH-3121 Algebra-I Foundation 3
4 MATH-2106 Number Theory General 3
5 MATH-3105 Ordinary Differential Equations Foundation 3
Total 15

Semester- V

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-3117 Topology Foundation 3
2 MATH-3104 Partial Differential Equations Foundation 3
3 MATH-3103 Algebra-II Foundation 3
4 MATH-3107 Real Analysis-I Foundation 3
5 MATH-3131 Software Packages for Mathematics Foundation 3
Total 15

Semester- VI

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-3126 Analytical Mechanics Foundation 3
2 MATH-4103 Functional Analysis Foundation 3
3 MATH-4104 Integral Equations Foundation 3
4 MATH-3110 Real Analysis-II Foundation 3
5 MATH-3119 Complex Analysis Foundation 3
Total 15

Semester- VII

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-XXX Elective-1 Elective 3
2 MATH-XXX Elective-2 Elective 3
3 MATH-4104 Elective-3 Elective 3
4 MATH-3116 Numerical Analysis Major 3
5 MATH-4101 Introduction to Vectors & Tensor Analysis Major 3
Total 15

Semester- VIII

Sr.# Course Code Title of the Course Class Credit Hours
1 MATH-XXX Elective-4 Elective 3
2 MATH-XXX Elective-5 Elective 3
3 MATH-XXX Elective-6 Elective 3
4 MATH-4122 Mathematical Methods Major 3
5 MATH-4105 Operation Research Major 3
Total 15

LIST OF GENERAL COURSES FOR ARTS AND HUMANITIES (GAH)

  • History of Human Civilization
  • Introduction to Geography
  • Heritage studies
  • General History
  • Introduction to City and Regional Planning
  • Planning Theory
  • Islamic Arts
  • Digital media
  • Art and Society
  • History of arts and Design
  • Physical Education and Sports

LIST OF GENERAL COURSES FOR SOCIAL SCIENCES (GSS)

  • Business Administration (Entrepreneurship)
  • Home Economics
  • Human Resource Management
  • Principles of Management & Marketing
  • Basic Financial Management
  • Rural and Urban Studies
  • Mass Communication
  • Gender and Islam
  • Pakistan – Tourist Destinations
  • Tourism Marketing
  • Mass Media and Society
  • History of Mathematics
  • Introduction to Philosophy
  • Introduction to Physiology
  • Introduction to Sociology

LIST OF GENERAL COURSES FOR NATURAL SCIENCES (GNS)

  • Environmental Sciences
  • Introduction to Botany
  • Introduction to Genetics
  • Introduction to Physiology
  • Basic Agriculture
  • Food Chemistry
  • Applied Physics-I
  • Applied Physics-II
  • Introduction to ICT
  • ICT Lab
  • Introduction to Probability
  • Applied Mathematics
  • Mathematics-I
  • Mathematics-II
  • Introduction of Mathematics

List of Foundation Courses for BS Mathematics Program

Course Code Title of the Course Credit Hours
MATH-1101 Calculus-I 3
MATH-1102 Calculus-II 3
MATH-2101 Linear Algebra 3
MATH-2105 Introduction to Mechanics 3
MATH-3121 Algebra-I 3
MATH-3119 Complex Analysis 3
MATH-3105 Ordinary Differential Equations 3
MATH-4104 Integral Equations 3
MATH-2104 Affine & Euclidean Geometry 3
MATH-3124 Algebra-II 3
MATH-3107 Real Analysis-I 3
MATH-3110 Real Analysis-II 3
MATH-3118 Differential Geometry 3
MATH-3117 Topology 3
MATH-3104 Partial Differential Equations 3
MATH-3116 Numerical Analysis 3
MATH-4103 Functional Analysis 3
MATH-2108 Introduction to Probability Theory 3
MATH-3126 Analytical Mechanics 3
MATH-4105 Operation Research 3
MATH-4102 Mathematical Statistics 3

List of Elective Courses for BS Mathematics Program

This list is divided into three specialization

  • Pure Mathematics
  • Applied Mathematics
  • Computational Mathematics
List of Pure Mathematics Elective
  • Measure Theory
  • Algebraic Topology
  • Galois Theory Lie Groups
  • Rings and Modules
  • Projective Geometry
  • Riemannian Geometry
  • History of Mathematics
  • Pointless Topology
List of Applied Mathematics
  • Fluid Mechanicsy
  • Electromagnetismy
  • Analytical Dynamics
  • Quantum Mechanics
  • General Relativity
  • Dynamical Systems
  • Computational Fluid Dynamic
  • History of Mathematics
  • Econometrics Special Relativity
  • Optimization Theory
  • Statistical Inferences
List of Computational Mathematics
  • Simulation
  • Mathematical Modeling
  • Computational Fluid Dynamics
  • Graph Theory
  • Statistical Inferences
  • Cryptography
  • Numerical Partial Differential Equations
  • Convex Analysis Numerical
List of Logic Courses for BS Mathematics Program
  • Elements of Set Theory and Mathematics Logic
  • Discrete Mathematics
List of Writing Courses for BS Mathematics Program
  • English-I (ENGL-1118 Functional English)
  • English-II (ENGL-1119 Communication Skills)
  • English-II (ENGL-2111 Technical Writing and Representation)

BS Statistics and AD Statistics

MODEL SCHEME OF STUDIES FOR BS (4-YEAR) IN STATISTICS

Semester-I

Sr.# Name of Subject Subjet Class Credits
1 Introductory statistics Logic 3
1 English-I (Functional English) Writing expository 3
1 GSS-I General 3
4 GNS-1 General 3
5 GAH-I General 3
6 Introduction to ICT Compulsory 2
Total 18

Semester-II

Sr.# Name of Subject Subjet Class Credits
1 GAH-II General 3
1 GSS-II General 3
1 English-II Writing expository 3
4 Calculus-I Compulsory 3
5 Introduction to logic Logic 3
6 GNS-II General 2
Total 18

Semester- III

Sr.# Name of Subject Subjet Class Credits
1 Introduction to probability distribution Foundation 3
1 English-III Writing expository 3
1 Pak studies Civilization 3
4 Calculus-II Compulsory 3
5 Introduction to logic Compulsory 3
6 Basic Statistical Inference Foundation 3
Total 14

Semester- IV

Sr.# Name of Subject Subjet Class Credits
1 Applied Statistics Foundation 3
2 Introduction to Regression Analysis & Experimental Design Foundation 3
3 Linear Algebra Foundation 3
4 Sampling Technique-I Foundation 3
5 Islamic studies/Ethics Civilization 2
Total 15

Semester- V

Sr.# Name of Subject Subjet Class Credits
1 Statistical Packages Foundation 3
2 Sampling Technique-II Foundation 4
3 Regression Analysis Foundation 4
4 Probability Distribution-I Foundation 3
Total 14

Semester- VI

Sr.# Name of Subject Subjet Class Credits
1 Design & Analysis of Experiment-I Major 4
2 Probability Distribution-II Major 3
3 Econometrics Major 4
4 Official Statistics Major 3
Total 14

Semester- VII

Sr.# Name of Subject Subjet Class Credits
1 Statistical Inference-1 Major 4
2 Multivariate Analysis Major 3
3 Design & Analysis of Experiment-II Major 4
3 Elective I Major-elective 4
4 Elective-II Major-elective 3
Total 16

Semester- VIII

Sr.# Name of Subject Subjet Class Credits
1 Statistical Inference-II Major 4
2 Population Studies Major 3
3 Design & Analysis of Experiment-II Major 4
3 Research Project / Internship Project/Internship 0
4 Elective-III Major-elective 3
4 Elective-IV Major-elective 3
Total 13

LIST OF GENERAL COURSES FOR ARTS AND HUMANITIES (GAH)

  • History of Human Civilization
  • Introduction to Geography
  • Heritage studies
  • General History
  • Introduction to City and Regional Planning
  • Planning Theory
  • Mathematics for Art and Design/ Statistics
  • Islamic Arts
  • Digital media
  • Art and Society
  • History of arts &Design
  • Physical Education and Sports
  • Languages and Literature
  • Museology (Museum Science)

LIST OF GENERAL COURSES FOR NATURAL SCIENCES (GNS)

  • Business Administration (Entrepreneurship)
  • Anthropology
  • Home Economics
  • Human Resource Management
  • Principles of Management & Marketing
  • Basic Financial Management
  • Data Base Management
  • Gender & Human Rights
  • Rural and Urban Studies
  • Mass Communication
  • Gender and Islam
  • Pakistan – Tourist Destinations
  • Tourism Marketing
  • Mass Media and Society

LIST OF GENERAL COURSES FOR NATURAL SCIENCES (GNS)

  • Environmental Sciences
  • Introduction to Biology
  • Introduction to Physics
  • Introduction to Botany
  • Introduction to Genetics
  • Object Oriented Programming
  • Software Packages for Mathematics/Statistics
  • Introduction to computer programs and Mathematics
  • Data Structure & Algorithms
  • Applied Physics
  • Introduction to Physiology
  • Basic Agriculture
  • Food Chemistry
  • Information Security

Elective Courses for BS (4-Year) Program for Statistics

  • Operations Research
  • Stochastic Process
  • Reliability Analysis
  • Decision Theory
  • Robust Methods
  • Survival Analysis
  • Bio-Statistics
  • Data Mining
  • Actuarial Statistics-I
  • Actuarial Statistics-II
  • Mathematical Models and Simulation
  • Categorical Data Analysis
  • Numerical Methods
  • Bayesian Inference
  • Statistical Quality Control

MS Mathematics

Semester-I

Course Code Course Title Credits Hours
MATH-XXXX Core-1 3
MATH-XXXX Core-2 3
MATH-XXXX Elective-1 3
MATH-XXXX Elective-2 3
Total 12

Semester-II

Course Code Course Title Credits Hours
MATH-XXXX Core-3 3
MATH-XXXX Core-4 3
MATH-XXXX Elective-3 3
MATH-XXXX Elective-4 3
Total 12

Semester-III

Course Code Course Title Credits Hours
MATH-6601 Thesis 6
Total 6
Note: Courses can be swapped according to the resources of the University

List of Core Courses

Course Code Course Title Credits Hours
MATH-5101Advanced Algebra3(3-0)
MATH-5102Advanced Mathematical Analysis3(3-0)
MATH-5103Advanced Partial Differential Equations3(3-0)
MATH-5104Advanced Integral Equations3(3-0)
MATH-5105Fractional Calculus3(3-0)
MATH-5106Fuzzy Set Theory3(3-0)
MATH-5107Advanced Linear Algebra3(3-0)
MATH-5108Advanced Graph Theory3(3-0)
MATH-6129Advanced Functional Analysis 3(3-0)
MATH-6152Rings and Modules3(3-0)
MATH-6135Mathematical Techniques for Boundary Value Problems3(3-0)
MATH-6160Numerical Solutions of Ordinary Differential Equations3(3-0)
MATH-6151Advanced Numerical Analysis 3(3-0)

List of Elective Courses

Course Code Course Title Credits Hours
MATH-6118Topics in Operator Theory3(3-0)
MATH-6119Integral inequalities3(3-0)
MATH-6120Fuzzy Topological Analysis3(3-0)
MATH-6121Advanced Measure Theory3(3-0)
MATH-6122Advanced Topology3(3-0)
MATH-6123Lie Algebra3(3-0)
MATH-6124Topological Groups3(3-0)
MATH-6125Theory of Group Graphs3(3-0)
MATH-6126Theory of Group Actions3(3-0)
MATH-6127Approximation Theory3(3-0)
MATH-6128Complex Analysis of Several Variables3(3-0)
MATH-6130Magneto-hydrodynamics3(3-0)
MATH-6131Advanced Analytical Dynamics3(3-0)
MATH-6132Advanced General Relativity 3(3-0)
MATH-6133Astrophysics 3(3-0)
MATH-6134The Classical Theory of Fields 3(3-0)
MATH-6136Sampling Techniques3(3-0)
MATH-6137Multivariate Analysis3(3-0)
MATH-6138Finite Mixture Distributions3(3-0)
MATH-6139Computer Aided Geometric Design3(3-0)
MATH-6140Topics in Complex Analysis3(3-0)
MATH-6141Topics in Functional Analysis 3(3-0)
MATH-6142Topics in Measure Theory 3(3-0)
MATH-6143Topics in Topology3(3-0)
MATH-6144Banach Algebras 3(3-0)
MATH-6145Lie Groups 3(3-0)
MATH-6146C* -Algebras 3(3-0)
MATH-6147Topological Algebras 3(3-0)
MATH-6148Geometric Function Theory3(3-0)
MATH-6149Heat and Mass Transfer3(3-0)
MATH-6150Cosmology 3(3-0)
MATH-6153Linear Groups and Group Representations3(3-0)
MATH-6154Lattice Theory3(3-0)
MATH-6155Representation Theory3(3-0)
MATH-6156Numerical Optimization3(3-0)
MATH-6157Random Number Generation and Monte Carlo Methods 3(3-0)
MATH-6158Advanced Mathematical Statistics3(3-0)
MATH-6159Topological Vector Spaces3(3-0)
MATH-6161Newtonian Fluid Mechanics3(3-0)
MATH-6162Fixed Point Theory3(3-0)
MATH-6163Fuzzy Analysis3(3-0)
MATH-6164Topics in Fuzzy Decision Theory3(3-0)
MATH-6165Logical Reasoning3(3-0)
MATH-6166Research Methodology3(3-0)
MATH-6201Numerical Solution of Partial Differential Equations3(3-0)
MATH-6202Non-Newtonian Fluid Mechanics3(3-0)
MATH-6203Calculus of Finite Differences3(3-0)
MATH-6204Advanced Magneto Hydrodynamics3(3-0)
MATH-6205Advanced Electrodynamics3(3-0)
MATH-6206Topics in Analytical Dynamics 3(3-0)
MATH-6207Group Methods for Differential Equations3(3-0)
MATH-6208Advanced Sampling Techniques 3(3-0)
MATH-6209Advanced Multivariate Analysis3(3-0)
MATH-6210Advanced Finite Mixture Distributions 3(3-0)
MATH-6211Fractional Differential Equations3(3-0)
MATH-6212Advances in Discrete Mathematics and Applications3(3-0)
MATH-6213Strict Convexity3(3-0)
MATH-6214Theory of Differential Equations3(3-0)
MATH-6215Advanced Fluid Dynamics3(3-0)
MATH-6216Advanced Computer Aided Geometric Design3(3-0)
MATH-6217Advanced Analytical Methods3(3-0)
MATH-6218Elasto-dynamics3(3-0)
MATH-6219Convex Analysis3(3-0)
MATH-6220BCK Algebra3(3-0)
MATH-6221Computer Graphics3(3-0)
MATH-6222Lie Group Analysis of Difference Equations3(3-0)
MATH-6223Theory of Complex Manifolds3(3-0)
MATH-6224BCI Algebra3(3-0)
MATH-6225Advanced Theory of Rings and Modules3(3-0)
MATH-6226Representation and Character Theory of Groups3(3-0)
MATH-6227Spectral and Fractional Graph Theory3(3-0)

PhD Mathematics

Semester-I

Course Code Course Title Credits Hours Remarks
MATH-XXXX Course I 3 Optional
MATH-XXXX Course II 3 Optional
MATH-XXXX Course III 3 Optional
MATH-XXXX Course IV 3 Optional
Total 12  

Semester-II

Course Code Course Title Credits Hours Remarks
MATH-XXXX Course V 3 Optional
MATH-XXXX Course VI 3 Optional
MATH-XXXX Course VII 3 Optional
MATH-XXXX Course VIII 3 Optional
Total 12  

Semester-III and onward

Course Code Course Title Credits Hours Remarks

Semester – V and onward

Course Code Course Title Credits Hours Remarks
MATH-8601 Thesis 30 Compulsory

List of Courses

Course Code Course Title Credits Hours
MATH-5101Advanced Algebra3(3-0)
MATH-5102Advanced Mathematical Analysis3(3-0)
MATH-5103Advanced Partial Differential Equations3(3-0)
MATH-5104Advanced Integral Equations3(3-0)
MATH-5105Fractional Calculus3(3-0)
MATH-5106Fuzzy Set Theory3(3-0)
MATH-5107Advanced Linear Algebra3(3-0)
MATH-5108Advanced Graph Theory3(3-0)
MATH-6129Advanced Functional Analysis 3(3-0)
MATH-6152Rings and Modules3(3-0)
MATH-6135Mathematical Techniques for Boundary Value Problems3(3-0)
MATH-6160Numerical Solutions of Ordinary Differential Equations3(3-0)
MATH-6151Advanced Numerical Analysis 3(3-0)
MATH-6118Topics in Operator Theory3(3-0)
MATH-6119Integral inequalities3(3-0)
MATH-6120Fuzzy Topological Analysis3(3-0)
MATH-6121Advanced Measure Theory3(3-0)
MATH-6122Advanced Topology3(3-0)
MATH-6123Lie Algebra3(3-0)
MATH-6124Topological Groups3(3-0)
MATH-6125Theory of Group Graphs3(3-0)
MATH-6126Theory of Group Actions3(3-0)
MATH-6127Approximation Theory3(3-0)
MATH-6128Complex Analysis of Several Variables3(3-0)
MATH-6130Magneto-hydrodynamics3(3-0)
MATH-6131Advanced Analytical Dynamics3(3-0)
MATH-6132Advanced General Relativity 3(3-0)
MATH-6133Astrophysics 3(3-0)
MATH-6134The Classical Theory of Fields 3(3-0)
MATH-6136Sampling Techniques3(3-0)
MATH-6137Multivariate Analysis3(3-0)
MATH-6138Finite Mixture Distributions3(3-0)
MATH-6139Computer Aided Geometric Design3(3-0)
MATH-6140Topics in Complex Analysis3(3-0)
MATH-6141Topics in Functional Analysis 3(3-0)
MATH-6142Topics in Measure Theory 3(3-0)
MATH-6143Topics in Topology3(3-0)
MATH-6144Banach Algebras 3(3-0)
MATH-6145Lie Groups 3(3-0)
MATH-6146C* -Algebras 3(3-0)
MATH-6147Topological Algebras 3(3-0)
MATH-6148Geometric Function Theory3(3-0)
MATH-6149Heat and Mass Transfer3(3-0)
MATH-6150Cosmology 3(3-0)
MATH-6153Linear Groups and Group Representations3(3-0)
MATH-6154Lattice Theory3(3-0)
MATH-6155Representation Theory3(3-0)
MATH-6156Numerical Optimization3(3-0)
MATH-6157Random Number Generation and Monte Carlo Methods 3(3-0)
MATH-6158Advanced Mathematical Statistics3(3-0)
MATH-6159Topological Vector Spaces3(3-0)
MATH-6161Newtonian Fluid Mechanics3(3-0)
MATH-6162Fixed Point Theory3(3-0)
MATH-6163Fuzzy Analysis3(3-0)
MATH-6164Topics in Fuzzy Decision Theory3(3-0)
MATH-6165Logical Reasoning3(3-0)
MATH-6166Research Methodology3(3-0)
MATH-6201Numerical Solution of Partial Differential Equations3(3-0)
MATH-6202Non-Newtonian Fluid Mechanics3(3-0)
MATH-6203Calculus of Finite Differences3(3-0)
MATH-6204Advanced Magneto Hydrodynamics3(3-0)
MATH-6205Advanced Electrodynamics3(3-0)
MATH-6206Topics in Analytical Dynamics 3(3-0)
MATH-6207Group Methods for Differential Equations3(3-0)
MATH-6208Advanced Sampling Techniques 3(3-0)
MATH-6209Advanced Multivariate Analysis3(3-0)
MATH-6210Advanced Finite Mixture Distributions 3(3-0)
MATH-6211Fractional Differential Equations3(3-0)
MATH-6212Advances in Discrete Mathematics and Applications3(3-0)
MATH-6213Strict Convexity3(3-0)
MATH-6214Theory of Differential Equations3(3-0)
MATH-6215Advanced Fluid Dynamics3(3-0)
MATH-6216Advanced Computer Aided Geometric Design3(3-0)
MATH-6217Advanced Analytical Methods3(3-0)
MATH-6218Elasto-dynamics3(3-0)
MATH-6219Convex Analysis3(3-0)
MATH-6220BCK Algebra3(3-0)
MATH-6221Computer Graphics3(3-0)
MATH-6222Lie Group Analysis of Difference Equations3(3-0)
MATH-6223Theory of Complex Manifolds3(3-0)
MATH-6224BCI Algebra3(3-0)
MATH-6225Advanced Theory of Rings and Modules3(3-0)
MATH-6226Representation and Character Theory of Groups3(3-0)
MATH-6227Spectral and Fractional Graph Theory3(3-0)
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