M.Phil Mathematics-University of Punjab, Lahore

March 27, 2015

Course Name: M.Phil Mathematics

Course Overview: Since 1990 the Department has started an M. Phil program and from 2004, admission for M. Phil. classes are conducted regularly on annual basis.

No. of Semesters: 4

Requirements: M.Sc / BS 4-years Mathematics or equivalent.

And Clause 24 (b), Admission regulations 2012, page (7)

Admission Criteria: Basic

Merit Formula: As per basic criteria

Course duration: 2 years

Curriculum:

Course Name			Term/ Semester/ Year #	Credit Hour / Marks

Functional Analysis			Core Courses	3
Riemannian Geometry			Core Courses	3
Mathematical Techniques			Core Courses	3
ODEs and Computational Linear Algebra			Core Courses	3
Partial Differential Equations			Core Courses	3
Integral Equations			Core Courses	3
Group Theory			Core Courses	3
Advanced Mathematical Physics			Core Courses	3
General Relativity-I			Applied Mathematics	3
General Relativity-II			Applied Mathematics	3
Cosmology			Applied Mathematics	3
Relativistic Astrophysics			Applied Mathematics	3
Classical Field Theory			Applied Mathematics	3
Electrodynamics-I			Applied Mathematics	3
Electrodynamics-II			Applied Mathematics	3
Magnetohydrodynamics-I			Applied Mathematics	3
Magnetohydrodynamics-II			Applied Mathematics	3
Fluid Dynamics			Applied Mathematics	3
Elastodynamics			Applied Mathematics	3
Plasma Physics			Applied Mathematics	3
Advanced Course in Plasma Physics			Applied Mathematics	3
Quantum Field Theory			Applied Mathematics	3
Theory of Spline Functions I			Computational Mathematics	3
Theory of Spline Functions II			Computational Mathematics	3
Theory of Spline Functions III			Computational Mathematics	3
Subdivision Schemes			Computational Mathematics	3
Approximation Theory			Computational Mathematics	3
Numerical Solution of PDEs			Computational Mathematics	3
Graph Theory			Computational Mathematics	3
Design Theory			Computational Mathematics	3
Mathematical Modeling-I			Computational Mathematics	3
Mathematical Modeling-II			Computational Mathematics	3
Minimal Surfaces			Computational Mathematics	3
Computer Graphics			Computational Mathematics	3
Rings and Modules			Pure Mathematics	3
Operator Theory			Pure Mathematics	3
Lie Algebras & Lie Groups			Pure Mathematics	3
Field Extensions & Galois Theory			Pure Mathematics	3
Linear Groups & Group Representations			Pure Mathematics	3
General Topology			Pure Mathematics	3
Homotopy Theory			Pure Mathematics	3
Topological Groups			Pure Mathematics	3
Homological Theory			Pure Mathematics	3
Lattice Theory			Pure Mathematics	3
Representation Theory			Pure Mathematics	3
BCK Algebra			Pure Mathematics	3
BCI Algebra			Pure Mathematics	3
Advanced Theory of Rings and Modules			Pure Mathematics	3
Spectral Theory in Hilbert spaces – I			Pure Mathematics	3
Spectral Theory in Hilbert spaces – II			Pure Mathematics	3
Harmonic Analysis			Pure Mathematics	3
Banach Algebras-I			Pure Mathematics	3
Banach Algebras-II			Pure Mathematics	3
Advanced Measure Theory			Pure Mathematics	3
Advanced Number Theory			Pure Mathematics	3
Combinatorics			Pure Mathematics	3
Reading & Research-MA1			Reading and Research	3
Reading & Research-MA2			Reading and Research	3
Reading & Research-MC1			Reading and Research	3
Reading & Research-MC2			Reading and Research	3
Reading & Research-MP1			Reading and Research	3
Reading & Research-MP2			Reading and Research	3
Seminar Attendance			Non-Credit Courses	0
Seminar Delivered-G			Non-Credit Courses	0
Seminar Delivered-T			Non-Credit Courses	0
Seminar Delivered-R			Non-Credit Courses	0
M.Phil. Thesis			–	6
– : Note:-
	Subjects having Asterisk (*) and Plus (+) sign are as…
	*	Specialization-I
	**	Specialization-II
	*******	Auxiliary Non-Credit Courses, Supporting Courses
	+	Optional Papers