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SCHEME OF STUDIES

BS (4 Years) Programme in Mathematics

Eligibility Criterion: FSC Maths with at least 45% marks

Semester I

Sr. No  Course Code  Subject:  Cr. Hors
1  Eng-100  English -I (Functional English)  3
2  Isl-101  Islamic studies  2
3  CS-102  Introduction to Computer  3
4  Math-104  Elements of Set theory and Mathematical Logic  3
5  Math-105  Calculus-I  4
6  PHY-103  Physics-I (Mechanics-I) (G-1)  3

Total Credit Hours

 18

Semester II

Sr. No  Course Code  Subject:  Cr. Hors
1  ENG-200  English - II (Communication Skills)  3
2  PAK-201  Pak Studies  2
3  STAT-202  Statistics  3
4  MATH-204  Software Packages  02+01*
5  MATH-205  Calculus - II  3
6  PHY-203  Physics-II (Heat And Thermodynamics) (G-2)  3

Total Credit Hours

 17

Semester III

Sr. No  Course Code  Subject:  Cr. Hors
1  ENG-300  English -III (Technical Writing and presentation skills)  3
2  MATH-301  Group Theory  3
3  CS-302  Computer Programming  2+1*=3
4  MATH-303  Calculus-III  4
5  SOC-304  Sociology (G-4)  3
Total Credit Hours  16

Semester IV

Sr. No  Course Code  Subject:  Cr. Hors
1  ENG-400  English - IV (Advance Academic R+W)  3
2  MATH-401  Affine and Euclidean Geometry  3
3  MATH-402  Discrete Mathematics  3
4  MATH-403  Linear Algebra  3+1*=4
5  PSY -404  Psychology(G-4)  3

Total Credit Hours

 16

Semester V

Sr. No  Code  Subject:  Cr. Hors
1  Math-501  Probability Theory  3
2  Math-502  Differential Geometry  3
3  Math-503  Algebra - II (Rings Theory)  3
4  Math-504  Real Analysis- I  3
5  Math-505  Ordinary Differential Equations  3

Total Credit Hours

 15

Semester VI

Sr. No  Code  Subject:  Cr. Hors
1  Math-601  Classical Mechanics  3
2  Math-602  Complex Analysis  3
3  Math-603  Functional Analysis  3
4  Math-604  Real Analysis - II  3
5  Math-605  Partial Differential Equations  3

Total Credit Hours

 15

Semester VII

Sr. No  Code  Subject:  Cr. Hors
1  Math-701  Numerical Analysis  3+1=4
2  Math-702  Number Theory  3
3  MATH-703  Mathematical Methods  3
4  Math-704  Measure Theory I(E-1)  3
5  Math-  Statistical Inferences(E-2)  3

Total Credit Hours

 16

Semester VIII

Sr. No  Code  Subject:  Cr. Hors
1  Math-801  Topology  3
2  Math-802  Integral Equation  3
3  Math-803  Measure Theory I( E-3)  3
4  Math-805  Econometrics (E-4)  3
5  Math-  Project / E-5  3

Total Credit Hours

 15

 

General Courses for BS Mathematics

The courses G-1, G-2, G-3 and G-4 may be chosen from following titles. This list may be extended by consent of the Board of Studies keeping in view the availability of expertise in the University.

Semester 1  Semester 2  Semester 3  Semester 4
PHY-103 Physics-I
(Mechanics-I)
 PHY-203 Physics-II
 (Heat And Thermodynamics)
 SOC-304 Sociology  PSY -403 Psychology
CHEM-104Chemistry  BIO-204 Biology  ECO-304 Economics  ACC-404 Accounting
PHIL-103 Philosophy  ENV-203 Environmental Sciences    

 

Electives for BS (Mathematics)

Elective paper will be selected from the following courses for Semester VII

Elective - A

Elective Subjects for Semester VII

Sr. No  Code  Subjects  Credit Hours
1  MATH - 704  Measure Theory I  3
2  MATH - 705  Operational Research I  3
3  MATH - 706  Statistical Inferences  3
4  MATH - 707  Electromagnetism I  3
5  MATH - 708  Algebraic Topology  3
6  MATH - 709  Fluid Mechanics  3
7  MATH - 710  Simulation  3
8  MATH - 711  Graph Theory  3
9  MATH - 712  Computational Fluid Dynamics  3
10  MATH - 713  Optimization Theory  3
11  MATH -714  Axiomatic Set Theory  3

Elective paper will be selected from the following courses for Semester VIII

Elective - B

Elective Subjects for Semester VIII

Sr. No  Code  Code  Credit Hours
1  MATH - 803  Measure Theory II  3
2  MATH - 804  Operational Research II  3
3  MATH - 805  Econometrics  3
4  MATH - 806  Electromagnetism II  3
5  MATH - 807  Rings and Modules  3
6  MATH - 808  Quantum Mechanics  3
7  MATH - 809  Mathematical Modeling  3
9  MATH - 810  Special Relativity  3
10  MATH - 811  Computational Fluid Dynamics  3
11  MATH - 812  Dynamical Systems  3

Elective paper will be selected from the following courses for alternative of the Project

Elective - C

Sr. No  Code  Subjects  Credit Hours
1  MATH - 814  Project  3
2  MATH - 815  General Relativity  3
3  MATH - 816  Advanced Group Theory  3
4  MATH - 817  Spline  3


M.Sc. (2 YEARS) Programme in Mathematics

Eligibility Criterion: BSC Maths / Math A / Math B, with at least 45% marks

Semester I

Sr. No  Code  Subject:  Cr. Hors
1  Math-501  Probability Theory  3
2  Math-502  Differential Geometry  3
3  Math-503  Algebra - II (Rings Theory)  3
4  Math-504  Real Analysis- I  3
5  Math-505  Ordinary Differential Equations  3

Total Credit Hours

 15

Semester II

Sr. No  Code  Subject:  Cr. Hors
1  Math-601  Classical Mechanics  3
2  Math-602  Complex Analysis  3
3  Math-603  Functional Analysis  3
4  Math-604  Real Analysis - II  3
5  Math-605  Partial Differential Equations  3

Total Credit Hours

 15

Semester III

Sr. No  Code  Subject:  Cr. Hors
1  Math-701  Numerical Analysis  3+1=4
2  Math-702  Number Theory  3
3  MATH-703  Mathematical Methods  3
4  Math-704  Measure Theory I(E-1)  3
5  Math-  Statistical Inferences(E-2)  3
Total Credit Hours  16

Semester VI

Sr. No  Code  Subject:  Cr. Hors
1  Math-801  Topology  3
2  Math-802  Integral Equation  3
3  Math-803  Measure Theory I( E-3)  3
4  Math-805  Econometrics (E-4)  3
5  Math-  Project / E-5  3

Total Credit Hours

 15

 

Electives for M.Sc Mathematics

Elective paper will be selected from the following courses for Semester III

Elective - A

Elective Subjects for Semester III

Sr. No  Code  Subjects  Credit Hours
1  MATH - 704  Measure Theory I  3
2  MATH - 705  Operational Research I  3
3  MATH - 706  Statistical Inferences  3
4  MATH - 707  Electromagnetism I  3
5  MATH - 708  Algebraic Topology  3
6  MATH - 709  Fluid Mechanics  3
7  MATH - 710  Simulation  3
8  MATH - 711  Graph Theory  3
9  MATH - 712  Computational Fluid Dynamics  3
10  MATH - 713  Optimization Theory  3
11  MATH -714  Axiomatic Set Theory  3

 

Elective paper will be selected from the following courses for Semester IV

Elective - B

Elective Subjects for Semester IV

Sr. No  Code  Code  Credit Hours
1  MATH - 803  Measure Theory II  3
2  MATH - 804  Operational Research II  3
3  MATH - 805  Econometrics  3
4  MATH - 806  Electromagnetism II  3
5  MATH - 807  Rings and Modules  3
6  MATH - 808  Quantum Mechanics  3
7  MATH - 809  Projective Geometry  3
8  MATH - 810  Mathematical Modeling  3
9  MATH - 811  Special Relativity  3
10  MATH - 812  Computational Fluid Dynamics  3
11  MATH - 813  Dynamical Systems  3

 

Elective paper will be selected from the following courses for alternative of the Project

Elective - C

Sr. No  Code  Subjects  Credit Hours
1  MATH - 814  Project  3
2  MATH - 815  General Relativity  3
3  MATH - 816  Advanced Group Theory  3
4  MATH - 817  Spline  3

 

M.Phil in Mathematics (Two Year Program)

Eligibility Criterion: M.Sc Math / BS Math, with at least 2.5 CGPA

First Year - First Semester

Course Title Cr. Hr.
Elective - I  3
Elective - II  3
Elective - III  3
Elective - IV  3

Total

 12

Second Semester

Course Title  Cr. Hr.
Elective - I  3
Elective - II  3
Elective - III  3
Mathematics Teaching Techniques & Research Methodology  3

Total

 12

Second Year

Course Title  Credit Hours
Thesis\Courses  6

Optional Courses

Sr. No    Pure Mathematics  Cr. Hr
1  MATH- 901  Rings and Modules  3
2  MATH- 902  MATH- 901 Topological Groups  3
3  MATH- 903  MATH- 901 General Topology  3
4  MATH- 904  MATH- 901 Advanced Group Theory  3
5  MATH- 905  MATH- 901 Topological Vector Spaces  3
6  MATH- 906  MATH- 901 Algebraic Number Theory  3
7  MATH- 907  MATH- 901 Field Extension andGalois Theory  3
8  MATH- 908  Mathematics Teaching Techniques & Research Methodology  3

 

Sr. No    Applied Mathematics  Cr. Hr
1  MATH- 910  General Relativity-I  3
2  MATH- 911  General Relativity-II  3
3  MATH- 912  Cosmology  3
4  MATH- 913  Classical Field Theory  3
5  MATH- 914  Electrodynamics-I  3
6  MATH- 915  Electrodynamics-II  3
7  MATH- 916  Plasma Physics  3

 

Sr. No    Applied Mathematics  Cr. Hr
1  MATH- 920  Theory of Spline Functions I  3
2  MATH- 921  Theory of Spline Functions II  3
3  MATH- 922  Theory of Spline Functions III  3
4  MATH- 923  Graph Theory  3
5  MATH- 924  Mathematical Modeling I  3
6  MATH- 925  Mathematical Modeling II  3
7  MATH- 926  Numerical Solutions of PDEs  3
8  MATH- 927  Design Theory  
9  MATH- 928  Minimal Surfaces  


More courses are given below for enriching lists given above subject to availability of faculty to teach these courses. Experts in the Department of Mathematics of a university may extend this list further. Consent of Board of Studies is advised.

More Courses

Sr. No  Code  More Course  Cr. Hr
1  MATH- 930  Combinatorics  3
2  MATH- 931  Advanced Number Theory  3
3  MATH- 932  Advanced Measure Theory  3
4  MATH- 933  Harmonic analysis  3
5  MATH- 934  Spectral Theory in Hilbert Spaces  3
6  MATH- 935  BCK Algebra  3
7  MATH- 936  BCI Algebra  3
8  MATH- 937  Lattice Theory  3
9  MATH- 938  Homology Theory  3
10  MATH- 939  Lie Algebra & Lie Groups  3
11  MATH- 940  Hilbert Space Methods  3
12  MATH- 941  Optimization Theory  3
13  MATH- 942  Perturbation Methods  3
14  MATH- 943  Fixed point Theory and Application  3
15  MATH- 944  Approximation Theory and application  3
16  MATH- 945  Integral Inequalities  3
17  MATH- 946  Time Series Analysis and Forecasting  3
18  MATH- 947  Linear Statistical Models  3
19  MATH- 948  Advanced Topics in Graph Theory  3
20  MATH- 949  Geometric Function Theory  3
21  MATH- 950  Advanced Convex Analysis  3
22  MATH- 951  Representation Theory of Finite Groups  3
23  MATH- 952  Fluid and Thermodynamics  3
24  MATH- 953  Group Theoretic Methods  3
2  MATH- 954  Advanced Analytical Dynamics  3
26  MATH- 955  Numerical Methods for Variational Inequalities  3
27  MATH- 956  Simple Linear Regression Models  3
28  MATH- 957  Multiple Linear Regression Models  3
29  MATH- 958  Category Theory  3
30  MATH- 959  Pointless Topology  3
31  MATH- 960  Sheaf Theory  3
32  MATH- 961  Topos Theory  3
33  MATH- 962  Topological Groups  3
34  MATH- 963  Special Functions  3
35  MATH- 964  Geometric Functions  3
36  MATH- 965  Mathematical Biology  3
37  MATH- 966  Symmetries and Exact solution of ODE  3
38  MATH- 967  Symmetries and Exact solution of PDE  3
39  MATH- 968  Operation Research  3
40  MATH- 969  Simulation and Modeling  3
41  MATH- 970  Fuzzy Logic and Neural Networks  3
42  MATH- 971  Financial Modeling and Risk Management  3
43  MATH- 972  Probability and Stochastic Processes  3
44  MATH- 973  Monte Carlo Techniques for Simulations  3

 

Sr. No  Code  Thesis  Cr. Hr
1  MATH -990  Thesis  6