(To be introduced from the Academic session beginning from August 2011)
Main Features of the Revised Syllabus:
This is a revised syllabus of the Post Graduate Mathematics in the University of North Bengal to be introduced from the academic session 2011-2012 and was approved in the Faculty Council Meeting of 19^{th} July, 2011. The revision is made keeping in view of the current trends and expectations in the curricula of Post Graduate Mathematics in the major Indian Universities.
This syllabus prescribes a general outline of the intended courses. The respective teacher shall have the freedom to improvise the actual course material depending on his/her requirements keeping in view of the level of awareness of the students in a particular year/semester.
The Optional papers shall be decided on the availability of teaching staffs and will be notified before the beginning of the Semester.
SYLLABUS for POST GRADUATE STUDIES in MATHEMATICS
University of North Bengal
(To be introduced from the Academic session beginning from August 2011)
SEMESTER 1
Paper: Full marks:
Paper I: Abstract Algebra I 60
Paper II: Real Analysis 60
Paper III: Topology I 60
Paper IV: Complex Analysis 60
Paper V: Ordinary Differential Equations 60
Class Test: 5 x 10 = 50
Seminar and viva-voce: 25 + 25 =50
SEMESTER 2
Paper: Full marks
Paper VI: Abstract Algebra II 60
Paper VII: Calculus on R^{n} 60
Paper VIII: Topology II 60
Paper IX: Partial Differential Equations &
Integral Equations 60
Paper X: Differential Geometry 60
Class Test: 5 x 10 = 50
Seminar and viva-voce: 25 + 25 =50
SEMESTER 3
Paper: Full marks
Paper XI: Integration Theory 60
Paper XII: Functional Analysis 60
Paper XIII: Computer Aided Numerical
Analysis 60
OPTIONAL PAPERS: Papers XIV and XV 60 + 60
(Two sets of papers to be taken out of the following. The students will have to inform their choices before the beginning of 3^{rd} semester. However combinations will be decided by the Departmental Committee on the basis of the availability of teaching staffs and/or other requirements. The corresponding papers are to be continued in the next semester also)
3^{rd} Semester
4^{th} Semester
A
Advanced Real Analysis I
A
Advanced Real Analysis II
B
Advanced Complex Analysis I
B
Advanced Complex Analysis II
C
Advanced Topology I
C
Advanced Topology II
D
Advanced differential Geometry I
D
Advanced differential Geometry II
E
Advanced Discrete Mathematics I
E
Advanced Discrete Mathematics II
F
Advanced Functional Analysis I
F
Advanced Functional Analysis II
G
Nonlinear Diff. Equations
G
Dynamical Systems
H
Fluid & Plasma Dynamics I
H
Fluid & Plasma Dynamics II
I
Theory of General Relativity and Astrophysics
I
Cosmology
Class Test 5 X 10 = 50
Seminar and Viva-voce: 25 + 25 =50
SEMESTER 4
Paper: Full marks
Paper XVI: Graph Theory/ Operation Research/
Fuzzy Sets and Applications 60
Paper XVII: Analytical Dynamics,
Chaos & Fractals 60
Paper XVIII: Computer Aided Numerical Analysis 60
- Practical
OPTIONAL PAPERS: Papers XIX and XX 60 + 60
(Students have to continue with the optional papers offered to them in the 3^{rd} semester. Every student of Semester 4 shall make a seminar presentation on a topic outside the prescribed syllabus).