A GRADE : 70 A GRADE : 3
B GRADE : 55 B GRADE : 6
C GRADE : 45 C GRADE : 6
D GRADE : 35 D GRADE : Nil
E GRADE : 30 E GRADE : Nil
TEACHERS : Professor P. V. Subrahmanyam Signature :
Dr. Satyajit Roy Signature :
DEPARTMENT OF MATHEMATICS
INDIAN INSTITUTE OF TECHNOLOGY MADRAS
CHENNAI – 600 036
COURSE NAME : ADVANCED MATHEMATICAL ANALYSIS AND DIFFERENTIAL EQUATIONS
COURSE NUMBER : MA733 SEMS.: JULY-NOV, 2003
Sl.
No.
|
Roll No.
|
Name
|
Grade
|
Att.
|
1.
|
MA03D001
|
K. PARAMA SIVAM
|
C
|
H
|
2.
|
MA03D002
|
J. ANURADHA
|
B
|
H
|
3.
|
MA03D003
|
G. RAMESH
|
B
|
H
|
4.
|
MA03D006
|
ANTONY VIJESH
|
B
|
H
|
5.
|
MA03D008
|
S. LAVANYA
|
B
|
H
|
6.
|
MA03D009
|
PALLAVI MAHALE
|
C
|
H
|
7.
|
MA03D010
|
SURAVITA ROY
|
C
|
H
|
8.
|
MA03D011
|
SANKAR RAJ
|
C
|
H
|
9.
|
MA03D014
|
V. MURUGAN
|
C
|
H
|
10.
|
MA03D016
|
H. RAMESH
|
C
|
H
|
11.
|
MA03D017
|
T. JOHNSON
|
B
|
H
|
12.
|
MA02D001
|
R. SUDHESH
|
A
|
H
|
13.
|
MA02D002
|
G. CHANDHINI
|
B
|
H
|
14.
|
MA02D003
|
T. DIMPLE
|
A
|
H
|
15.
|
MA01D008
|
A. ANTHONY ELDRED
|
A
|
H
|
TOTAL NUMBER OF STUDENTS : 15
NO. OF STUDENTS WITH S GRADE : Nil
A GRADE : 3
B GRADE : 6
C GRADE : 6
D GRADE : Nil
E GRADE : Nil
TEACHERS : Professor P. V. Subrahmanyam Signature :
Dr. Satyajit Roy Signature :
MA 509 ORDINARY DIFFERENTIAL EQUATIONS 3 1 0 4
First order differential equations: Initial value problem – Uniqueness and continuity of solutions, comparison theorem
Second order linear differential equations: Basis of solutions, Wronskian, oscillation theorems, adjoint differential equations, Green’s functions for initial and boundary value problems, power series solutions.
Differential equations in the complex plane: Regular and singular points, hypergeometric series, Bessel, Lagrange and Jacobi differential equations and properties of their solutions. Sturm-Liouville systems
Systems of differential equations: Plane autonomous system, Poincare phase plane analysis, existence and uniqueness theorems, theorems on continuous dependence of solutions on initial values and parameters
BOOKS
G. Birkhoff and G.C.Rota : Ordinary differential equations, Ginn and Co.
E.A.Coddington and N.Levinson : An introduction to ordinary differential equations, Prentice Hall of India Limited.
E.A.Coddington and N.Levinson : Theory of ordinary differential equations, Tata McGraw-Hill
G.F.Simmons : Ordinary differential equations, Tata McGraw-Hill
S.L.Ross : Differential equations
M. Braun : Differential equations, Springer-Verlag
BIO – DATA
1. Name of the student : VENKAT SUMAN ROY
2. Date of birth : 04 – 03 – 1995
3. Father’s name : Dr. SATYAJIT ROY
4. Mother’s name : Dr. S. V. SUBHASHINI
5. Father’s profession : PROFESSOR
6. Office address with phone number : DEPARTMENT OF MATHEMATICS
INDIAN INSTITUTE OF TECHNOLOGY MADRAS
CHENNAI – 600 036
PHONE NUMBER – 2257 8492
7. Monthly income : Rs.25, 000/-
8. House address with phone number : Qr. No. – D/2/9, 1st CROSS ROAD,
I.I.T. MADRAS CAMPUS
PHONE NUMBER – 2257 9492
9. Whether SC/ ST ? : NO
To: Professor A.C.Eringen, DATE : July 08, 2004
Editor – in – chief ,
Int. J. Engg. Sci.
Dear Sir,
Received your E-mail today regarding the acceptance of my paper MS#8845 entitled “Non-uniform slot injection(suction)………yawed cylinder” by S. Roy and P. Saikrishnan for which you had sent acceptance letter in DEC 13,2003 . It is very unfortunate that I did not receive that post.
I request you to sent me urgently the acceptance letter of the above paper along with the necessary documents required for the publication process in the following address by post as well as by Fax
DR. SATYAJIT ROY
ASSOCIATE PROFESSOR
DEPARTMENT OF MATHEMATICS
INDIAN INSTITUTE OF TECHNOLOGY MADRAS
CHENNAI – 600 036, INDIA
Fax – 91 – 44 – 2257 8470 / 2257 0509
Thanking you ----------yours sincerely – Dr. S. Roy
Maths. Deptt.
I.I.T. Madras
Chennai – 600 036
The above paper is a useful contribution. I recommend that the paper to be accepted for publication in JEHMT and the author(s) are requested to modify the manuscript as follows:
-
Results and discussion section is needed to modify as figures.8, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 26, 28, 30, and 32 should be removed. These figures do not provide much extra insight of the problem but some of the points can be mentioned in the results and discussion section without writing the detailed results of these figures.
-
Conclusion section should be included for describing the importance of the results obtained in this investigation.
Author wants to solve a free convection flow under Boussinesq approximation as mentioned in the section “ Mathematical Analysis” but governing equation (2) do not contain the buoyancy force terms due to temperature and concentration differences. Further, boundary conditions show the presence of external free stream flow which means a mixed convection flow. As a whole, the formulation of equations is completely wrong. After correct formulation of equations, the transformations may not reduce the system of partial differential equations to a set of ordinary differential equations. Even then the problem would be a very simple one and may be considered as a simple extension like exercise of the recent book entitled “Convective Heat Transfer” by I. Pop and D.B. Ingham published in the year 2001.
I strongly feel that the problem would not be of any interest in IJHMT and this paper can be rejected for publication in IJHMT.
CHENNAI – 600 036
COURSE NAME : ADVANCED MATHEMATICAL ANALYSIS AND DIFFERENTIAL EQUATIONS
COURSE NUMBER : MA733 SEMS.: JULY-NOV, 2003
Sl.
No.
|
Roll No.
|
Name
|
Marks
|
Grade
|
Att.
|
|
|
Grade
|
Att.
|
1.
|
MA03D001
|
K. PARAMA SIVAM
|
48
|
C
|
H
|
|
|
C
|
H
|
2.
|
MA03D002
|
J. ANURADHA
|
63
|
B
|
H
|
|
|
B
|
H
|
3.
|
MA03D003
|
G. RAMESH
|
58
|
B
|
H
|
|
|
B
|
H
|
4.
|
MA03D006
|
ANTONY VIJESH
|
65
|
B
|
H
|
|
|
B
|
H
|
5.
|
MA03D008
|
S. LAVANYA
|
63
|
B
|
H
|
|
|
B
|
H
|
6.
|
MA03D009
|
PALLAVI MAHALE
|
51
|
C
|
H
|
|
|
C
|
H
|
7.
|
MA03D010
|
SURAVITA ROY
|
51
|
C
|
H
|
|
|
C
|
H
|
8.
|
MA03D011
|
SANKAR RAJ
|
50
|
C
|
H
|
|
|
C
|
H
|
9.
|
MA03D014
|
V. MURUGAN
|
47
|
C
|
H
|
|
|
C
|
H
|
10.
|
MA03D016
|
H. RAMESH
|
50
|
C
|
H
|
|
|
C
|
H
|
11.
|
MA03D017
|
T. JOHNSON
|
62
|
B
|
H
|
|
|
B
|
H
|
12.
|
MA02D001
|
R. SUDHESH
|
72
|
A
|
H
|
|
|
A
|
H
|
13.
|
MA02D002
|
G. CHANDHINI
|
62
|
B
|
H
|
|
|
B
|
H
|
14.
|
MA02D003
|
T. DIMPLE
|
72
|
A
|
H
|
|
|
A
|
H
|
15.
|
MA01D008
|
A. ANTHONY ELDRED
|
73
|
A
|
H
|
|
|
A
|
H
|
TOTAL NUMBER OF STUDENTS : 15
CUT OFF MARKS FOR S GRADE : 80 NO. OF STUDENTS WITH S GRADE : Nil
A GRADE : 70 A GRADE : 3
B GRADE : 55 B GRADE : 6
C GRADE : 45 C GRADE : 6
D GRADE : 35 D GRADE : Nil
E GRADE : 30 E GRADE : Nil
TEACHERS : Professor P. V. Subrahmanyam Signature :
Dr. Satyajit Roy Signature :
DEPARTMENT OF MATHEMATICS
INDIAN INSTITUTE OF TECHNOLOGY MADRAS
CHENNAI – 600 036
COURSE NAME : ADVANCED MATHEMATICAL ANALYSIS AND DIFFERENTIAL EQUATIONS
COURSE NUMBER : MA733 SEMS.: JULY-NOV, 2003
Sl.
No.
|
Roll No.
|
Name
|
Grade
|
Att.
|
1.
|
MA03D001
|
K. PARAMA SIVAM
|
C
|
H
|
2.
|
MA03D002
|
J. ANURADHA
|
B
|
H
|
3.
|
MA03D003
|
G. RAMESH
|
B
|
H
|
4.
|
MA03D006
|
ANTONY VIJESH
|
B
|
H
|
5.
|
MA03D008
|
S. LAVANYA
|
B
|
H
|
6.
|
MA03D009
|
PALLAVI MAHALE
|
C
|
H
|
7.
|
MA03D010
|
SURAVITA ROY
|
C
|
H
|
8.
|
MA03D011
|
SANKAR RAJ
|
C
|
H
|
9.
|
MA03D014
|
V. MURUGAN
|
C
|
H
|
10.
|
MA03D016
|
H. RAMESH
|
C
|
H
|
11.
|
MA03D017
|
T. JOHNSON
|
B
|
H
|
12.
|
MA02D001
|
R. SUDHESH
|
A
|
H
|
13.
|
MA02D002
|
G. CHANDHINI
|
B
|
H
|
14.
|
MA02D003
|
T. DIMPLE
|
A
|
H
|
15.
|
MA01D008
|
A. ANTHONY ELDRED
|
A
|
H
|
TOTAL NUMBER OF STUDENTS : 15
NO. OF STUDENTS WITH S GRADE : Nil
A GRADE : 3
B GRADE : 6
C GRADE : 6
D GRADE : Nil
E GRADE : Nil
TEACHERS : Professor P. V. Subrahmanyam Signature :
Dr. Satyajit Roy Signature :
MA 509 ORDINARY DIFFERENTIAL EQUATIONS 3 1 0 4
First order differential equations: Initial value problem – Uniqueness and continuity of solutions, comparison theorem
Second order linear differential equations: Basis of solutions, Wronskian, oscillation theorems, adjoint differential equations, Green’s functions for initial and boundary value problems, power series solutions.
Differential equations in the complex plane: Regular and singular points, hypergeometric series, Bessel, Lagrange and Jacobi differential equations and properties of their solutions. Sturm-Liouville systems
Systems of differential equations: Plane autonomous system, Poincare phase plane analysis, existence and uniqueness theorems, theorems on continuous dependence of solutions on initial values and parameters
BOOKS
G. Birkhoff and G.C.Rota : Ordinary differential equations, Ginn and Co.
E.A.Coddington and N.Levinson : An introduction to ordinary differential equations, Prentice Hall of India Limited.
E.A.Coddington and N.Levinson : Theory of ordinary differential equations, Tata McGraw-Hill
G.F.Simmons : Ordinary differential equations, Tata McGraw-Hill
S.L.Ross : Differential equations
M. Braun : Differential equations, Springer-Verlag
BIO – DATA
1. Name of the student : VENKAT SUMAN ROY
2. Date of birth : 04 – 03 – 1995
3. Father’s name : Dr. SATYAJIT ROY
4. Mother’s name : Dr. S. V. SUBHASHINI
5. Father’s profession : PROFESSOR
6. Office address with phone number : DEPARTMENT OF MATHEMATICS
INDIAN INSTITUTE OF TECHNOLOGY MADRAS
CHENNAI – 600 036
PHONE NUMBER – 2257 8492
7. Monthly income : Rs.25, 000/-
8. House address with phone number : Qr. No. – D/2/9, 1st CROSS ROAD,
I.I.T. MADRAS CAMPUS
PHONE NUMBER – 2257 9492
9. Whether SC/ ST ? : NO
To: Professor A.C.Eringen, DATE : July 08, 2004
Editor – in – chief ,
Int. J. Engg. Sci.
Dear Sir,
Received your E-mail today regarding the acceptance of my paper MS#8845 entitled “Non-uniform slot injection(suction)………yawed cylinder” by S. Roy and P. Saikrishnan for which you had sent acceptance letter in DEC 13,2003 . It is very unfortunate that I did not receive that post.
I request you to sent me urgently the acceptance letter of the above paper along with the necessary documents required for the publication process in the following address by post as well as by Fax
DR. SATYAJIT ROY
ASSOCIATE PROFESSOR
DEPARTMENT OF MATHEMATICS
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