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