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  #2  
9th July 2015, 12:45 PM
Super Moderator
 
Join Date: Apr 2013
Re: Madras university M.Sc Maths syllabus

As you want to know about the Madras University M.Sc Maths syllabus so here I am providing you the syllabus below.


First Year

Paper Subjects Duration Max.
Hours Marks
I Algebra 3 100
II Real Analysis 3 100
III Differential Equations 3 100
IV Probability Theory and
Mathematical Statistics 3 100
V Elective-I
Computer Oriented Paper
Programming with C++ and 3 100
Numerical Methods
Theory: Maximum 60 marks
Practical Maximum 40 marks


SECOND YEAR


Paper Subjects Duration Max.
Hours Marks

VI Complex Analysis 3 100
VII Mechanics 3 100
VIII Topology and Functional Analysis 3 100
IX Differential Geometry and
Tensor Analysis 3 100
X Elective-II
Computer Oriented Paper
Java Programming 3 100
Theory: Maximum 60 marks
Practical Maximum 40 marks
Madras university M.Sc Maths syllabus






Contact Details:

University of Madras
Chepauk, Chennai, Tamil Nadu 600005
Phone: 044 2539 9422

[MAP]University of Madras[/MAP]
For more PDF file attached;
Attached Files
File Type: pdf Madras university M.Sc Maths syllabus.pdf (166.7 KB, 718 views)
  #3  
26th November 2019, 11:05 AM
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Re: Madras university M.Sc Maths syllabus

Can you provide me the syllabus of M.Sc. (Mathematics) Program offered by Department of Mathematics Dhanraj Baid Jain College, affiliated to the University of Madras?
  #4  
26th November 2019, 11:07 AM
Super Moderator
 
Join Date: Aug 2012
Re: Madras university M.Sc Maths syllabus

The syllabus of M.Sc. (Mathematics) Program offered by Department of Mathematics Dhanraj Baid Jain College, affiliated to the University of Madras is as follows:


COURSE CODE
14P631A


COURSE
ALGEBRA - I


UNIT 1

Another counting principle - class equation for finite groups and its applications - Sylow's theorems (For theorem 2.12.1, First proof only).
Chapter 2: Sections 2.11 and 2.12 (Omit Lemma 2.12.5)


UNIT 2
Solvable groups - Direct products - Finite abelian groups- Modules (Definition and Examples)
Chapter 2: Sections 2.13 and 2.14 (Theorem 2.14.1 only)
Chapter 4: Section 4.5 (Omit theorem 4.5.1)
Chapter 5 : Section 5.7 (Lemma 5.7.1, Lemma 5.7.2, Theorem 5.7.1)


UNIT 3
Linear Transformations: Canonical forms –Triangular form – Nilpotent transformations.
Chapter 6: Sections 6.4 , 6.5


UNIT 4
Jordan form - rational canonical form.
Chapter 6 : Sections 6.6 and 6.7


UNIT 5
Trace and transpose - Hermitian, unitary, normal transformations, real quadratic form.
Chapter 6 : Sections 6.8, 6.10 and 6.11 (Omit 6.9)


Recommended Text
I. N. Herstein. Topics in Algebra (II Edition) Wiley Eastern Limited, New Delhi, 1975.

Reference Books
1. M.Artin, Algebra, Prentice Hall of India, 1991.
2. P.B.Bhattacharya, S.K.Jain, and S.R.Nagpaul, Basic Abstract Algebra (II Edition)
Cambridge University Press, 1997. (Indian Edition)
3. I.S.Luther and I.B.S.Passi, Algebra, Vol. I –Groups(1996); Vol. II Rings, Narosa
Publishing House , New Delhi, 1999
4. D.S.Malik, J.N. Mordeson and M.K.Sen, Fundamental of Abstract Algebra, McGraw Hill
(International Edition), New York. 1997.
5. N.Jacobson, Basic Algebra, Vol. I & II W.H.Freeman (1980); also published by
Hindustan Publishing Company, New Delhi.



Syllabus M.Sc. (Mathematics) Dhanraj Baid Jain College




Attached Files
File Type: pdf Syllabus M.Sc. (Mathematics) Dhanraj Baid Jain College.pdf (769.4 KB, 103 views)


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