Ph.D Mathematics

PhD Mathematics is a 3 – 5 years research degree. Students will be required to complete 30 credit hours of course of MS level and 12 credit hours of Ph.D level course work on the recommendations of research supervisor. Rest of the degree requirement will include comprehensive examination, carrying out research work of original nature, writing and defending of thesis.

Eligibility: As per Advertisement

Medium of Study: English

Program Level: Graduate

Program For: Male (50 Seats) & Female (50 Seats)

Scheme of Studies for Ph.D Mathematics Programs From Fall 2016

1st Semester 3 Courses 9	2nd Semester 3 Courses 9
3rd Semester MATH 891 Ph.D. Thesis 9	4th Semester MATH 891 Ph.D. Thesis 9
5thSemester MATH 891 Ph.D. Thesis 9	6th Semester MATH 891 Ph.D. Thesis 9

Eligibility:

18 years of education in Mathematics with minimum CGPA 3.00/4.00 or 65% marks in annual system. GRE/GAT (Subject) with minimum 60% score.

Details of PHD program are given in Procedure for regulating post graduate studies in Department of Mathematics.

List of Core Courses for PhD Mathematics

Sr. No.	Course Code	Course Title
1.	MATH 821	Group Rings
2.	MATH 841	Advanced Perturbation Methods
3.	MATH 861	Advances in Analysis
4.	MATH 881	Advanced Heat Transfer

Note: Out of four courses student will have to study at least two courses from the list of core courses.
List of Elective Courses for Ph. D. Mathematics From Fall 2016

Sr. No.	Course Code	Course Title
1.	MATH 822	Theory of Group Graphs
2.	MATH 823	LA-Semigroups
3.	MATH 824	Advanced Ring Theory-II
4.	MATH 825	Hopf Algebra and Quantum Groups
5.	MATH 826	Algebraic Number Theory
6.	MATH 827	Homological Algebras
7.	MATH 831	Advanced Analytical Dynamics-II
8.	MATH 832	Spectral Methods in Fluid Dynamics
9.	MATH 842	Group Analysis of Partial Differential Equations
10.	MATH 843	Advanced Nonlinear Differential Equations
11.	MATH 851	Advanced Algebraic Geometry
12.	MATH 862	Non-Standard Analysis
13.	MATH 863	Numerical Ranges of Operators on Normal Spaces
14.	MATH 864	Strict Convexity
15.	MATH 871	Modeling and Simulation of Dynamical Systems
16.	MATH 872	Advanced Finite Element Analysis
17.	MATH 873	Advanced Multivariate Methods and Analysis
18.	MATH 882	Advanced Magnetohydrodynamics
19.	MATH 883	Convective Heat Transfer: Porous Media
20.	MATH 884	Robotics
21.	MATH 892	Topics in Algebra
22.	MATH 893	Topics in Mechanics
23.	MATH 894	Topics in Differential Equations
24.	MATH 895	Topics in Topology
25.	MATH 896	Topics in Analysis
26.	MATH 897	Topics in Computational Mathematics
27.	MATH 898	Topics in Applied Mathematics
28.	MATH 891	PhD Thesis (9 credit hours)

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