Institute of Mathematics

Scheme of Study

BS Mathematics and AD Mathematics

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

Semester-I

Sr.#Course CodeTitle of the CourseClassCredit Hours
1AAA-XXXXLogic-ILogic3
2AAA-XXXXWriting-IWriting3
3AAA-XXXXGAH-IGeneral3
4AAA-XXXXGNS-IGeneral3
5AAA-XXXXGSS-IGeneral3
6PAKS-1113Pakistan StudiesCivilization2
Total17

Semester-II

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-1101Calculus-IFoundation3
2AAA-XXXXGSS-IIGeneral3
3AAA-XXXXGAH-IIGeneral3
4AAA-XXXXGNS-IIGeneral3
5AAA-XXXXWriting-IIWriting3
6Writing-IILogic-IILogic3
Total18

Semester- III

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-1102Calculus-IIFoundation3
2AAA-XXXXWriting-IIIWriting3
3MATH-2103Linear AlgebraFoundation3
4MATH-2106Number TheoryGeneral3
5ISLS/ETIC-1112Islamic Studies/EthicsCivilization2
Total14

Semester- IV

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-2104Affine & Euclidean GeometryFoundation3
2MATH-2101Calculus-IIIFoundation3
3MATH-3121Algebra-IFoundation3
4MATH-2106Number TheoryGeneral3
5MATH-3105Ordinary Differential EquationsFoundation3
Total15

Semester- V

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-3117TopologyFoundation3
2MATH-3104Partial Differential EquationsFoundation3
3MATH-3103Algebra-IIFoundation3
4MATH-3107Real Analysis-IFoundation3
5MATH-3131Software Packages for MathematicsFoundation3
Total15

Semester- VI

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-3126Analytical MechanicsFoundation3
2MATH-4103Functional AnalysisFoundation3
3MATH-4104Integral EquationsFoundation3
4MATH-3110Real Analysis-IIFoundation3
5MATH-3119Complex AnalysisFoundation3
Total15

Semester- VII

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-XXXElective-1Elective3
2MATH-XXXElective-2Elective3
3MATH-4104Elective-3Elective3
4MATH-3116Numerical AnalysisMajor3
5MATH-4101Introduction to Vectors & Tensor AnalysisMajor3
Total15

Semester- VIII

Sr.#Course CodeTitle of the CourseClassCredit Hours
1MATH-XXXElective-4Elective3
2MATH-XXXElective-5Elective3
3MATH-XXXElective-6Elective3
4MATH-4122Mathematical MethodsMajor3
5MATH-4105Operation ResearchMajor3
Total15

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 CodeTitle of the CourseCredit Hours
MATH-1101Calculus-I3
MATH-1102Calculus-II3
MATH-2101Linear Algebra3
MATH-2105Introduction to Mechanics3
MATH-3121Algebra-I3
MATH-3119Complex Analysis3
MATH-3105Ordinary Differential Equations3
MATH-4104Integral Equations3
MATH-2104Affine & Euclidean Geometry3
MATH-3124Algebra-II3
MATH-3107Real Analysis-I3
MATH-3110Real Analysis-II3
MATH-3118Differential Geometry3
MATH-3117Topology3
MATH-3104Partial Differential Equations3
MATH-3116Numerical Analysis3
MATH-4103Functional Analysis3
MATH-2108Introduction to Probability Theory3
MATH-3126Analytical Mechanics3
MATH-4105Operation Research3
MATH-4102Mathematical Statistics3

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 SubjectSubjet ClassCredits
1Introductory statisticsLogic3
1English-I (Functional English)Writing expository3
1GSS-IGeneral3
4GNS-1General3
5GAH-IGeneral3
6Introduction to ICTCompulsory2
Total18

Semester-II

Sr.#Name of SubjectSubjet ClassCredits
1GAH-IIGeneral3
1GSS-IIGeneral3
1English-IIWriting expository3
4Calculus-ICompulsory3
5Introduction to logicLogic3
6GNS-IIGeneral2
Total18

Semester- III

Sr.#Name of SubjectSubjet ClassCredits
1Introduction to probability distributionFoundation3
1English-IIIWriting expository3
1Pak studiesCivilization3
4Calculus-IICompulsory3
5Introduction to logicCompulsory3
6Basic Statistical InferenceFoundation3
Total14

Semester- IV

Sr.#Name of SubjectSubjet ClassCredits
1Applied StatisticsFoundation3
2Introduction to Regression Analysis & Experimental DesignFoundation3
3Linear AlgebraFoundation3
4Sampling Technique-IFoundation3
5Islamic studies/EthicsCivilization2
Total15

Semester- V

Sr.#Name of SubjectSubjet ClassCredits
1Statistical PackagesFoundation3
2Sampling Technique-IIFoundation4
3Regression AnalysisFoundation4
4Probability Distribution-IFoundation3
Total14

Semester- VI

Sr.#Name of SubjectSubjet ClassCredits
1Design & Analysis of Experiment-IMajor4
2Probability Distribution-IIMajor3
3EconometricsMajor4
4Official StatisticsMajor3
Total14

Semester- VII

Sr.#Name of SubjectSubjet ClassCredits
1Statistical Inference-1Major4
2Multivariate AnalysisMajor3
3Design & Analysis of Experiment-IIMajor4
3Elective IMajor-elective4
4Elective-IIMajor-elective3
Total16

Semester- VIII

Sr.#Name of SubjectSubjet ClassCredits
1Statistical Inference-IIMajor4
2Population StudiesMajor3
3Design & Analysis of Experiment-IIMajor4
3Research Project / InternshipProject/Internship0
4Elective-IIIMajor-elective3
4Elective-IVMajor-elective3
Total13

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 CodeCourse TitleCredits Hours
MATH-XXXXCore-13
MATH-XXXXCore-23
MATH-XXXXElective-1 3
MATH-XXXXElective-23
Total12

Semester-II

Course CodeCourse TitleCredits Hours
MATH-XXXXCore-33
MATH-XXXXCore-43
MATH-XXXXElective-3 3
MATH-XXXXElective-43
Total12

Semester-III

Course CodeCourse TitleCredits Hours
MATH-6601Thesis6
Total6
Note: Courses can be swapped according to the resources of the University

List of Core Courses

Course CodeCourse TitleCredits 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 CodeCourse TitleCredits 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 CodeCourse TitleCredits HoursRemarks
MATH-XXXXCourse I3Optional
MATH-XXXXCourse II3Optional
MATH-XXXXCourse III 3Optional
MATH-XXXXCourse IV3Optional
Total12 

Semester-II

Course CodeCourse TitleCredits HoursRemarks
MATH-XXXXCourse V3Optional
MATH-XXXXCourse VI3Optional
MATH-XXXXCourse VII 3Optional
MATH-XXXXCourse VIII3Optional
Total12 

Semester-III and onward

Course CodeCourse TitleCredits HoursRemarks

Semester – V and onward

Course CodeCourse TitleCredits HoursRemarks
MATH-8601Thesis30Compulsory

List of Courses

Course CodeCourse TitleCredits 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)