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Scheme of Studies

Degree Programs Offred

  • BS Mathematics
  • M.Sc. Mathematics
  • MS Mathematics
  • Ph.D. Mathematics

BS PROGRAMS

Eligibility Criteria

Over all first division in intermediate or equivalent exams. At least 60% marks in elective Mathematics of 200 marks.

Merit formula

Total marks obtained in intermediate or equivalent exams + marks obtained in elective Mathematics out of 200 marks.

Duration:            4 years Total Credit Hours:         135

SCHEME OF STUDY

 BS (4-Year) Mathematics

STRUCTURE OF SCHEME OF STUDY

 

Nature of Courses

Numbers of Course

Credits Hours

Compulsory Courses (No choice)

06

16

Minor Courses form other discipline

05

19

Foundation Courses

09

34

Major Courses

22

66

Total Credit Hours

 

135

YEAR-1

 

SEMESTER-I

Course No

Course Title

Credits

CC/Eng-101

Language in Use

3(3+0)

CC/Isl-101/ CC/Phil-101

Islamic Education / Ethics (For Non Muslims)

2(2+0)

Maj/Math-101

Calculus-I

4(4+0)

Maj/Math-105

Linear Algebra

4(4+0)

Min/Phy-101

Min/Stat-101

Min/Eco-101

Applied Physics

Introductory Statistics

Micro Economics

(Minor – I Choose Any One)

4(3+1)

4(3+1)

4(4+0)

 

Total Credits

17

 

SEMESTER-II

Course No

Course Title

Credits

CC/Eng-102

Academic Reading & Writing

3(3+0)

CC/PS-101

Pakistan Studies

2(2+0)

Maj/Math-103

Calculus-II

4(4+0)

Maj/Math-104

Infinite Series and  Metric Spaces

4(4+0)

Min/Phy-102

Min/Stat-102

Min/Eco-102

Computational Physics

Introduction to Probability Distribution

Macro Economics

(Minor – II Choose Any One)

4(3+1)

4(3+1)

4(4+0)

 

Total Credits

17

YEAR-2

SEMESTER-III

Course No

Course Title

Credits

CC/Eng-201

Communication Skills

3(3+0)

Maj/Math-201

Calculus-III

4(4+0)

Maj/Math-202

Vector Algebra and Dynamics

4(4+0)

Maj/Math-205

Discrete Mathematics

2(2+0)

Min/Phy-201

Min/Stat-201

Min/Eco-201

Cosmology

Statistical Inference

Mathematical Economics

(Minor – III Choose Any One)

4(3+1)

4(3+1)

4(4+0)

 

Total Credits

17

SEMESTER-IV

Course No

Course Title

Credits

CC/Eng-202

Advanced Academic Reading & Writing

3(3+0)

Maj/Math-203

Calculus-IV

4(4+0)

Maj/Math-204

Statics

4(4+0)

Maj/Math-206

Programming Fundamentals

3(2+1)

Min/Phy-202

Min/Stat-202

 

Min/Eco-202

Semiconductor Devices

Introduction to Regression Analysis and Experimental Designs

Economics of Pakistan

(Minor – IV Choose Any One)

4(3+1)

4(3+1)

4(4+0)

 

Total Credits

18

YEAR-3

SEMESTER-V

Course No

Course Title

Credits

Maj/Math-301

Real Analysis-I

3(3+0)

Maj/Math-314

Group Theory-I

3(3+0)

Maj/Math-303

Numerical Analysis-I

3(3+0)

Maj/Math-304

Vector Analysis & Cartesian Tensor

3(3+0)

Maj/Math-312

Methods of Mathematical Physics

3(3+0)

 

Total Credits

15

 

SEMESTER-VI

Course No

Course Title

Credits

Maj/Math-307

Real Analysis-II

3(3+0)

Maj/Math-315

Group Theory-II

3(3+0)

Maj/Math-309

Numerical Analysis-II

3(3+0)

EC/Math-306

EC/Math-310

EC/Math-313

Differential Geometry

Mechanics

Transform Methods

(Choose Any Two)

3(3+0)

3(3+0) 3(3+0)

 

 

Total Credits

15

 

YEAR-4

SEMESTER-VII

Course No

Course Title

Credits

CC/Math-401

Comprehensive-I

3(3+0)

Maj/Math-401

Set  Theory and Lattices

3(3+0)

Maj/Math-402

Functional Analysis

3(3+0)

Maj/Math-403

Complex Analysis

3(3+0)

EC/Math-404

EC/Math-405

EC/Math-412

EC/Math-414

 

Mathematical Statistics

Graph Theory

Operations Research

Analytical Dynamics

(Choose Any Two)

3(3+0)

3(3+0)

3(3+0)

 

Total Credits

18

 

SEMESTER-VIII

Course No

Course Title

Credits

CC/Math-402

Comprehensive-II

3(3+0)

Maj/Math-406

Measure Theory

3(3+0)

EC/Math-413

EC/Math-408

EC/Math-409

EC/Math-410

EC/Math-411

Rings and Modules

Topology

Theory of Differential Equations

Programming in MATLAB

Number Theory

(Choose Any Four)

3(3+0)

3(3+0)

3(3+0)

3(2+1)

3(3+0)

 

Total Credits

18

Total Credit Hours:  17+17+17+18+15+15+18+18=135 CR

M.Sc. Mathematics

M.Sc. Mathematics two years self-supporting afternoon degree program

The program aims

  • To facilitate the students having 2-years of Bachelor degree (with Mathematics as major subject).
  • To provide an opportunity to in-service females to get a Master degree in Mathematics.
  • To provide a female friendly atmosphere for higher studies at LCWU.

Lahore College for women have been offering M.Sc. program in past (1996-2000) being a Post graduate college affiliated with University of the Punjab. We are proud to share that our students achieved high position along with a gold medal.

Eligibility Criteria

l Over all second division in two years BSc/BA. With at least 60% marks in elective Mathematics (A&B course) of 400 marks.

l Those who have degree with general mathematics/BCom of 200 marks are not eligible.

Merit formula

Total marks obtained in BSc/BA exams + marks obtained in elective Mathematics out of 400 marks

Duration:            2 years Total Credit Hours:         86

 

SCHEME OF STUDY

YEAR-1

SEMESTER-I

Course No

Course Title

Credits

CC/M.Sc.Math-101

Real Analysis-I

4(4+0)

CC/M.Sc.Math-102

Group Theory

4(4+0)

CC/M.Sc.Math-103

Numerical Analysis-I

4(4+0)

CC/M.Sc.Math-104

Vector Analysis & Cartesian Tensor

4(4+0)

EC/M.Sc.Math-101

Differential Geometry

4(4+0)

 

Total Credits

20

 

SEMESTER-II

Course No

Course Title

Credits

CC/M.Sc.Math-105

Comprehensive-I

3(3+0)

CC/M.Sc.Math-106

Real Analysis-II

4(4+0)

CC/M.Sc.Math-107

Algebra

4(4+0)

CC/M.Sc.Math-108

Numerical Analysis-II

4(4+0)

EC/M.Sc.Math-102

EC/M.Sc.Math-103

Mechanics

Methods of Mathematical Physics

4(4+0)

4(4+0)

 

Total Credits

23

 

YEAR-2

SEMESTER-III

Course No

Course Title

Credits

CC/M.Sc.Math-201

Set  Theory and Lattices

4(4+0)

CC/M.Sc.Math-202

Functional Analysis

4(4+0)

CC/M.Sc.Math-203

Complex Analysis

4(4+0)

EC/M.Sc.Math-201

EC/M.Sc.Math-202

EC/M.Sc.Math-203

EC/M.Sc.Math-204

EC/M.Sc.Math-205

 

 

Mathematical Statistics

Graph Theory

Operations Research

Fluid Dynamics I

Quantum Mechanics I

(Choose Any Two)

4(4+0)

4(4+0)

4(4+0)

4(4+0)

4(4+0)

 

Total Credits

20

 

SEMESTER-IV

Course No

Course Title

Credits

CC/M.Sc.Math-204

Comprehensive - II

3(3+0)

CC/M.Sc.Math-205

Measure Theory

4(4+0)

CC/M.Sc.Math-206

Number Theory

4(4+0)

EC/M.Sc.Math-206

EC/M.Sc.Math-207

EC/M.Sc.Math-208

EC/M.Sc.Math-209

EC/M.Sc.Math-210

EC/M.Sc.Math-211

EC?M.Sc.Math-212

 

 

Fluid Dynamics II

Quantum Mechanics II

Rings and Modules

Topology

Theory of Differential Equations

Programming in MATLAB

Special Theory of Relativity

(Choose any three)

4(4+0)

4(4+0)

4(4+0)

4(3+1)

4(4+0)

4(4+0)

4(4+0)

 

Total Credits

23

Total Credit Hours:  20+23+20+23=86 Cr hours

 

MS Mathematics

MS PROGRAM

Eligibilitycriteria

  • 16 years of education (BS/M.Sc.)
  • All other requirements are as per university admission policy (Please see University eligibility criteria for MS admission 

SCHEME OF STUDY

 MS (2-Year) Mathematics

YEAR-1

SEMESTER-I

Course No

Course Title

Credits

Math-501

Advanced Functional Analysis*

3(3+0)

Math-502

Advanced Numerical Analysis*

3(3+0)

Math-520

Computer Aided Geometric Design** 

3(3+0)

Math-526

Perturbation Techniques*

3(3+0)

 

Total Credits

12

 SEMESTER-II

Course Code

Name of Subject

Credits

Math-514

Field Extension and Galois Theory**

3(3+0)

Math-517

Numerical Solutions of PDEs**

3(3+0)

Math-521

Optimization Theory**

3(3+0)

Math-524

Advanced Graph Theory**

3(3+0)

 

Total Credits

12

 

YEAR-2

SEMESTER-III & IV

 

Course Code

Name of Subject

Credits

Math-601

Research Work

12(6+6)

 

Total Credits

12

 

Total Credit Hours:  12+12+12=36 CR

 

* The course will be selected by the student from Annexure A on the availability of faculty member expertise and number of students.

**The course will be selected by the student from Annexure B and C on the availability of faculty member expertise and number of students.

 

ANNEXURE A

LIST OF COURSES

Course Code

Course  Title

Credit Hours

Math-503

Special Theory of Relativity

3(3+0)

Math-504

Riemannian geometry

3(3+0)

Math-505

Operations Research

3(3+0)

Math-506

Research Methodology  

3(3+0)

Math-507

Algebraic Topology

3(3+0)

Math-508

Advanced Mathematical Physics

3(3+0)

ANNEXURE B

LIST OF COURSES

(PURE MATHEMATICS)

Course Code

Course  Title

Credit Hours

Math-509

Advanced Group Theory-I

3(3+0)

Math-510

Advanced Group Theory-II

3(3+0)

Math-511

Topological Vector Spaces

3(3+0)

Math-512

Algebraic Number Theory

3(3+0)

Math-513

Theory of Rings and Modules

3(3+0)

Math-515

Lattices and  Boolean Algebra

3(3+0)

ANNEXURE C

LIST OF COURSES

(COMPUTATIONAL MATHEMATICS)

Course Code

Course  Title

Credit Hours

Math-516

Design Theory

3(3+0)

Math-518

Computer Programming

3(2+1)

Math-519

General Theory of Relativity

3(3+0)

Math-522

Approximation Theory

3(3+0)

Math-523

Numerical Solutions of Integral Equations

3(3+0)

Math-525

Combinatorics

3(3+0)

Ph.D.  Mathematics

PhDPROGRAM

Eligibilitycriteria

  • Eighteen years of education (M.Phil./MS)
  • Duration:    3-5 years Total Credit Hours:      30
  • All other requirements are as per university admission policy (Please see University eligibility criteria for Ph.D. admission

SCHEME OF STUDY

YEAR-1

SEMESTER-I

Course No

Course Title

Credits

Math-701

Advanced Functional Analysis*

3(3+0)

Math-721

Computer Aided Geometric Design**

3(3+0)

Math-725

Advanced Graph Theory**

3(3+0)

 

Total Credits

09

 

SEMESTER-II

Course Code

Name of Subject

Credits

Math-715

Field Extension and Galois Theory**

3(3+0)

Math-722

Optimization Theory**

3(3+0)

Math-723

Approximation Theory**

3(3+0)

 

Total Credits

09

 

Total Credit Hours:  09+09=18 CR

 

*The course will be selected by the student from Annexure A on the availability of faculty member expertise and number of students.

**The course will be selected by the student from Annexure B and C on the availability of faculty member expertise and number of students.

Ph.D.
MATHEMATICS

ANNEXURE A

LIST OF COURSES

Course Code

Course  Title

Credit Hours

Math-702

Advanced Numerical Analysis

3(3+0)

Math-703

Special Theory of Relativity

3(3+0)

Math-704

Riemannian geometry

3(3+0)

Math-705

Operations Research

3(3+0)

Math-706

Research Methodology  

3(3+0)

Math-707

Algebraic Topology

3(3+0)

Math-708

Advanced Mathematical Physics

3(3+0)

Math-709

Research Reading

3(3+0)

ANNEXURE B

LIST OF COURSES

(PURE MATHEMATICS)

Course Code

Course  Title

Credit Hours

Math-710

Advanced Group Theory-I

3(3+0)

Math-711

Advanced Group Theory-II

3(3+0)

Math-712

Topological Vector Spaces

3(3+0)

Math-713

Algebraic Number Theory

3(3+0)

Math-714

Theory of Rings and Modules

3(3+0)

Math-716

Lattices and  Boolean Algebra

3(3+0)

ANNEXURE C

LIST OF COURSES

(COMPUTATIONAL MATHEMATICS)

Course Code

Course  Title

Credit Hours

Math-717

Design Theory

3(3+0)

Math-718

Numerical solutions of PDEs

3(2+1)

Math-720

General Theory of Relativity

3(3+0)

Math-724

Numerical Solutions of Integral Equations

3(3+0)

Math-726

Combinatorics

3(3+0)

Math-727

Perturbation Techniques

3(3+0)