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05.04.2014
PG AND RESEARCH DEPARTMENT OF MATHEMATICS
MINUTES OF THE BOARD OF STUDIES 2014-2015
The Board of Studies meeting was held on 05.04.2014 at 10.00 a.m.in
the PG and Research Department of Mathematics to discuss the changes in the B.Sc.,
and M.Sc syllabi.
The experts present were
1. Dr. B. Gayathri, M.Sc.,M.Phil.,Ph.D, Associate Professor, Department of
Mathematics, Periyar EVR College, Trichy.
2. Dr. U. Karuppiah, M.Sc.,M.Phil.,Ph.D, Associate Professor, Department of
Mathematics,St. Joseph’s College(Autonomous), Trichy.
3. Prof.T.R.Usha Rani,M.Sc.,M.Phil.,B.Ed.,HOD, Department of Mathematics,
Shrimathi Indira Gandhi College, Trichy.
The meeting was called to order by the chairman who welcomed the members of the board.
The Course pattern for UG and PG Course were scrutinized.
The contents in the following papers have been revised.
U.G.
S.No. Semester Title of the paper
1 II Major Core 2:Classical Algebra & Trigonometry
2 III Major Core 4: Sequences and Series
3 IV Major Core 6:Algebra
4 IV Major Elective- 1: Numerical Methods
5 V Major Core 7-Real Analysis
6 V Major Core 9: Graph Theory
7 VI SBE 5: Application of Algorithms
8 I Allied-2: Applied Mathematics-I
P.G.
S.No. Semester Title of the paper
1 I Major Core 1: Algebra
2 I Major Core 4: Differential Equations
3 I Major Core 5: Graph theory
In U.G. the book ‘Analytical Geometry’ by Shanthi Narayan has been suggested to be
included in the reference for MAJORE CORE 3: ANALYTICAL GEOMETRY OF THREE
DIMENSIONS AND VECTOR CALCULUS. In P.G. suggestion had been given to change
the content of PROBABILITY THEORY as in Mathematical Probability and Statistics by
Rohatgi.in future. For differential equation the prescribed book for unit II has been changed to
George F. Simmons.
ANNEXURE:
U.G.
The revision were made for the following UG papers
1. Major Core 2: Classical Algebra & Trigonometry
Some of the Sections: In unit-III approximation, unit-IV-general value of logarithms, unit-
V- Summation of Series using Complex Quantities have been excluded. In unit-II, Lagranges’s
& Wilson’s theorems-No Proof-Statements only.
To concentrate more on problems.
2. Major Core 3: Analytical Geometry of Three Dimensions and Vector Calculus
The book ‘Analytical Geometry’ by Shanthi Narayan has been suggested to be included
in the book for study.
3. Major Core 4: Sequences and Series
In Unit IV-Approximations has been excluded.
Students learnt in their higher secondary level
4. Major Core 6: Algebra
In Unit-IV Matrix of linear transformation has been omitted.
This could be included in PG level
5. Major Elective 1: Numerical Methods
In Unit I-Generalized Newton’s Method
Unit II-Central Differences
Unit IV –Consistency
Unit V- Picard’s Method, Predictor –Corrector, Adams Moulton, Milne’s method have
been excluded.
These programs are not of much significance in writing C programs.
6. Major Core 7: Real Analysis
In Unit III-Inverse function theorem
Unit II- Compactness and Connectedness
Unit IV – Inverse function theorem for derivates and power series expansions of some
standards functions have been omitted.
To learn the basic concepts in detail and depth these higher level concepts are
deleted. These concepts could be studied in PG level.
7. Major Core 9: Graph Theory
In Unit –I Ramsey Numbers, Intersection Graphs and Line Graphs have been
excluded.
They are not related to the content of this unit
8. SBE 5: Application of Algorithms
In Unit-III Connectedness and components Algorithms and spanning tree algorithm have
been omitted. Prim’s algorithms for finding Minimal Spanning tree has been included.
To include Prim’s algorithms which has more applications the primitive
contents are excluded
9. Allied 2: Applied Mathematics-I
In Unit –IV solving differential equations using Laplace Transforms has been excluded.
It is beyond the scope of the computer science students in allied level
P.G
The revision were made for the following PG papers
1. Major Core 1: Algebra
In unit III- Modules, unit V- Canonical and Triangular form have been excluded.
This could be included in higher level
2. Major Core 5: Graph Theory
In unit IV Kuratowski’s theorem and the four color conjecture have been omitted.
This could be included in higher level
3. Major Core 4: Differential Equations
For unit II the text book has been changed as George F. Simmons.
To concentrate more on problems.
4. The suggestion had been given to change the content of the syllabus, Major Core-11
Probability Theory according to the book Mathematical Probability and Statistics by
Rohatgi.
To concentrate more on problems.
The chairman thanked the members for their participation and contribution.
Based on the suggestions given by various stakeholders, courses which focused on skill
development, employability and entrepreneurship were introduced to make the students ready
to be effective employees or dynamic/ smart employers. The details of these courses are given
below. Skill development (SD), Entrepreneurship (EN) and Employability (EM)
SEM COURSE CODE TITLE OF THE
COURSE
OLD/
NEW
SD EN EM
I U08MA1MCT01 Major Core – 1: Calculus
and Fourier Series
Old
II U08MA2MCT02 Major Core – 2: Classical
Algebra and Trigonometry
Old
II U08MA2MCT03 Major Core – 3: Analytical
Geometry of Three
Dimensions and Vector
Calculus
Old
III U12MA3MCT04 Major Core - 4: Sequences
and series
Old
III U08MA3MCT05 Major Core – 5: Statics Old
IV U08MA4MCT06 Major Core – 6: Algebra Old
IV U08MA4MET01/
U13MA4MET04/
U13MA4MET05
Major Elective – 1:
Numerical Methods/
Combinatorics/
Mathematical Modelling
Old
V U08MA5MCT07 Major Core – 7: Real
Analysis
Old
V U08MA5MCT08/
U08MA5MCT09
Major Core – 8: Differential
equations and Laplace
transforms/ Data structures
and algorithms.
Old
V U08MA5MCT10/
U08MA5MCT11
Major Core – 9: Graph
theory / Statistical packages
Old
V U08MA5MCT12/
U08MA5MCT13
Major Core – 10:
Optimization Techniques- I
/ Operations Research and
Graph Theory
Old
V U08MA5MET02/
U13MA5MET06
Major Elective -2: C
Programming and its
application to Numerical
Methods/ Astronomy
Old
VI U08MA6MCT14 Major Core – 11: Theory of
Functions of a Complex
Variable.
Old
V U08MA6MCT15/
U08MA6MCT16
Major Core – 12:
Optimization Techniques
II/Programming in C++
Old
V U08MA6MCT17/
U08MA6MCT18
Major Core – 13:
Introduction to fuzzy
Mathematics/ Introduction
to visual Basic
Old
VI U08MA6MET03/
U13MA6MET07
Major Elective 3:
Dynamics/
Number Theory
Old
V U08MA5SBT04 SBE 4: Programming Skills Old
VI U08MA6SBT05 SBE 5: Application of
Algorithms
Old
VI U13DS6SBT06 Skill Based Elective - 6
Research Methodology
Old
V U08MA5NMT01 NME 1: Quick Mathematics Old
VI U08MA6NMT02 NME 2: Art of
Programming
Old
I U10MA1ACT01 Allied – 1: Mathematical
Statistics-I
Old
I U10MA1ACT02 Allied1:Allied Mathematics
–I
Old
I U08MA1ACT03 Allied1:Business
Mathematics
Old
I U08MA1ACT04 Allied 1: Business
Mathematics and Statistics
Old
I U08MA1ACT05 Allied 2:Applied
Mathematics -I
Old
I U10MA1ACT06 Allied 2: Mathematical
Statistics-II
Old
I U10MA1ACT07 Allied 2: Allied
Mathematics –II
Old
II U10MA2ACT08 Allied 3: Mathematical
Statistics –III
Old
II U10MA2ACT09 Allied 3:Allied Mathematics
-III
Old
II U08MA2ACT10 Allied 3:Business Statistics Old
II U08MA2ACT11 Allied 3: Applied
Mathematics –II
Old
II U08MA2ACT12 Allied 3:Business
Mathematics and Statistics
for Managers
Old
III U11MA3AOT22 Allied Optional 4:
Computer Fundamentals
and PC Softwares
Old
III U11MA3AOT13 Allied Optional 4:Applied
Mathematics –III
Old
III U11MA3AOT14 Allied Optional 4: Calculus
and Trigonometry
Old
III U11MA3AOT21 Allied Optional 4 :
Mathematics For
Competitive Examinations
Old
IV U11MA4A0T19 Allied Optional 5:Analytical
Geometry of three
Dimensions, Vector
Calculus and Laplace
Transforms
Old
IV U11MA4AOT23 Allied Optional 5: Decision
Making Techniques
Old
IV U11MA4AOT24 Allied Optional 5: Formal
Languages and Automata
Theory
Old
IV U11MA4AOT25 Allied Optional 6:
Numerical And Statistical
Methods
Old
IV U11MA4AOT26 Allied Optional 6: Internet
and Web Designing
Old
IV U11MA4A0T27 Allied Optional 6:
Numerical Methods and
Testing Hypothesis
Old
I P08MA1MCT01 Major Core 1 :Algebra Old
I P08MA1MCT02 Major Core 2 :Data
Structures Using C
Old
I P08MA1MCT03 Major Core 3:Real Analysis Old
I P08MA1MCT04 Major Core 4:Differential
Equations
Old
I P08MA1MCT05 Major Core 5 :Graph
Theory
Old
II P08MA2MCT06 Major Core 6 :Measure &
Integration
Old
II P08MA2MCT07 Major Core 7 :General
Topology
Old
II P08MA2MCT08 Major Core 8 :Complex
Analysis
Old
II P08MA2MCT09 Major Core 9:Discrete
Mathematics
Old
II P08MA2NMT01 Non Major Elective
1:Statistical methods
Old
III P08MA3MCT10 Major Core 10:Functional
Analysis
Old
III P08MA3MCT11 Major Core 11:Probability
Theory
Old
III P08MA3MCT12 Major Core 12:Classical
Mechanics
Old
III P08MA3MET01/
P08MA3MET02
Major Elective 1:Theory of
Numbers/ Automata Theory
Old
III P08MA3NMT02 Non Major Elective
2:Quantitative Techniques
Old
IV P08MA4MCT13 Major Core 13:Operations
Research
Old
IV P08MA4MCT14 Major Core 14:Methods of
Applied Mathematics
Old
IV P08MA4MET01/
P08MA4MET02
Major Elective 2: Coding
Theory/ Theory of Fuzzy
Sets
Old
IV P12MA4MET03/
P12MA4MET04
Major Elective 3:Stochastic
Processes/ Differential
Geometry
Old