Ph.D Mathematics-University of Punjab,Lahore

March 26, 2015

Course Name: Ph.D Mathematics

Course Overview: A regular Ph.D. program has been started from March 2001

Requirements: MS / M. Phil Mathematics or equivalent

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

Admission Criteria: Basic

Merit Formula: As per basic criteria

Course duration: 3-5 years

Curriculum:

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

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
Functional Analysis	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
Ph.D. Thesis	–	48

– : Note:- Subjects having Asterisk (*) and Plus (+) sign are as…

Specialization-I

Specialization-II

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Auxiliary Non-Credit Courses, Supporting Courses

Optional Papers