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MS (Mathematics) – COMSATS – Lahore

March 30, 2015

Course name:     MS (Mathematics)

Course overview:

Mathematics is one of the oldest academic subjects and is still very much alive and is growing very fast. It is considered to be very important in the learning and understanding of science subjects in particular and other subjects in general. The advent of computers and data acquisition facilities has stretched the limits of what is possible in Mathematics to all branches of human endeavor. New developments are taking place all the time; some as result of fresh ideas or review of old techniques and problems from a fresh standpoint and others prompted by the applications to new and emerging physical, biological and social sciences, economics, computing and so on. This has given rise to new IT based techniques of mathematical study and has created new computational methodologies. Mathematics is one of the most mature and well developed disciplines of the basic sciences. The study of Mathematics is not only exciting but important Mathematicians have an opportunity to make a lasting contribution to the society by helping to solve problems in such diverse fields as medicine, biology, management, economics, computer sciences, physics, psychology, engineering, and social sciences.

No. of semesters:     2 semester

Requirements:

  • A 16 years degree in the relevant field from an accredited educational institution with first division (annual system) or CGPA 2.5/4.0 (semester system) with no third division(Annual System) or D grade(Semester System) throughout the academic career.
  • NTS GAT(General) with 50% marks

Course duration: N/A

How to apply:

  • N\A

Curriculum:

Course Name                    Credit Hours   

Hilbert Space Methods                3(3, 0)

Optimization Theory                    3(3, 0)

Perturbation Methods I                3(3, 0)

Fixed Point Theory and Applications            3(3, 0)

Numerical Solution of ODEs                3(3, 0)

Advanced Numerical Analysis                3(3, 0)

Numerical Linear Algebra                3(3, 0)

Approximation Theory and Applications        3(3, 0)

Advanced Partial Differential Equations        3(3, 0)

Variational Inequalities and Applications        3(3, 0)

Integral Inequalities                    3(3, 0)

Numerical Solutions of PDEs I                3(3, 0)

Advanced Mathematical Statistics            3(3, 0)

Time Series Analysis and Forecasting            3(3, 0)

Linear Statistical Models                3(3, 0)

Advanced Topics in Graph Theory            3(3, 0)

Commutative Algebra                    3(3, 0)

Advanced Topology I                    3(3, 0)

Algebraic Topology                    3(3, 0)

Mathematical Analysis                3(3, 0)

General Relativity                    3(3, 0)

Probability Models and Application            3(3, 0)

Numerical Optimization                3(3, 0)

Introductory Cryptography                3(3, 0)

Complexity Theory                    3(3, 0)

Finite Fields                        3(3, 0)

Fuzzy Logic and Applications                3(3, 0)

Fuzzy Probability and Statistics            3(3, 0)

Topology                        3(3, 0)

Geometric Function Theory                3(3, 0)

Advanced Convex Analysis                3(3, 0)

Advanced Modern Algebra with Applications    3(3, 0)

Theory of Groups                    3(3, 0)

Representation Theory of Finite Groups        3(3, 0)

Field Extensions and Galois Theory            3(3, 0)

Advanced Topology II                    3(3, 0)

Differential Subordinations and Applications        3(3, 0)

Convolutions in Geometric Function Theory        3(3, 0)

Semigroup Theory                    3(3, 0)

Further Algebraic Geometry                3(3, 0)

Lattice Boltzmann Transport Method            3(3, 0)

Homological Algebra                    3(3, 0)

Relativistic Theory of Black Holes            3(3, 0)

Classical Theory of Fields                3(3, 0)

Theory of Abel Grassmann’s Groupoids        3(3, 0)

Symmetry Methods in Differential Equations    3(3, 0)

General Linear Model                    3(3, 0)

Multivariate Analysis in Mathematics        3(3, 0)

Direct and Inverse Problems in Wave Propagation    3(3, 0)

Commutative Algebra and Algebraic Geometry    3(3, 0)

Rough Set Theory and Its Applications        3(3, 0)

Viscous Fluids I                    3(3, 0)

Viscous Fluids II                    3(3, 0)

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