PG AND RESEARCH DEPARTMENT OF MATHEMATICS

MINUTES OF THE BOARD OF STUDIES 2018-2019

The Board of Studies meeting was held on 03.02.2018 at 10.00 a.m.in the PG

and Research Department of Mathematics to discuss the changes in the B.Sc., M.Sc and

M.Phil syllabi.

The experts present were

1. Dr. A. Nagoor Gani, Associate Professor, PG and Research Department of Mathematics,

Jamal Mohamed College(Autonomous), Trichy.

2. Dr. S. Koilraj, Associate Professor, PG and Research Department of Mathematics,

St. Joseph’s College(Autonomous), Trichy.

3. Dr. M. Maragatham, Associate Professor, PG and Research Department of Mathematics,

Periyar E.V.R College(Autonomous), Trichy.

The experts made a number of suggestions during the course of the meeting.

Agenda:

1. Swapping of courses in the semesters IV, V and VI for the programme B.Sc

Mathematics.

2. Introduction of a new non major elective course titled “Discrete Mathematics” for PG

programmes other than Mathematics.

3. Introduction of two course optional papers for the programme M.Phil Mathematics.

4. Minor revisions of a few topics in B.Sc and M.Sc Mathematics syllabus.

Purpose of revision:

1. For consecutive learning of topics in B.Sc Mathematics in tune with the need of the

hour for a stronger foundation.

2. To build skills in Mathematics for PG programmes other than Mathematics.

3. The courses were introduced in order to develop research methodology among students

to pursue further research.

Suggestions and Revisions:

The course pattern and syllabus for UG, PG and M.Phil courses were presented in the board

for review and suggestions.

The following were the revisions made:

I B.Sc Mathematics (Semesters I &II):

Major Core 3: Analytical Geometry of Two and Three Dimensions

The presented syllabus was accepted by the experts and a few revision were given as follows

Contents of units I, II are to be changed

Straight line in Unit I and Circle in Unit II (Chapter IV- Sections from 1 to 10).

For strong foundation and consecutive learning.

II B.Sc Mathematics (Semesters III &IV):

Allied 6: Programming in C is replaced by SPSS Package.

To provide a better application oriented software cum package.

III B.Sc Mathematics (Semesters V&VI):

Major Core 9: Graph Theory

Title to be changed as “Major Core 9: Introduction to Graph Theory”.

To emphasize the inclusions of foundations.

Major Elective 3: Programming in C++

Course to be changed to “Major Elective 3 :Programming in C for Numerical Methods ”.

To highlight the application of C programming.

Allied Papers:

Allied 1: Business Mathematics (for Commerce students)

The presented syllabus was accepted by the experts and a few revision were given as follows

Unit V- Travelling Salesman problem is to be included.

For more clarity in the topic.

Allied 1: Business Mathematics and Statistics (for Commerce - vocational students),

The presented syllabus was accepted by the experts and a few revision were given as follows

Unit I – Matrices is to be introduced instead of Differentiation,

Unit II – Assignment problem, Hungarian method is to be removed,

Unit III – Cumulative frequency is to be removed and Measures of central tendency,

Measures of Dispersion (Range, Quartile deviation and Mean deviation) from Unit IV

are shifted to Unit III.

For strong foundation and consecutive learning.

The following papers from II and III B.Sc Mathematics were accepted by the experts and a few

revisions were made.

(i) In Semester IV, Major Core 6: Real Analysis – II

(ii) In Semester V, Major Core 7: Differential Equations , Laplace Transforms and

Fourier Series

(iii) In Semester V, Major Core 10: Modern Algebra - I

(iv) In Semester VI, Major Core 12: Modern Algebra – II

For consecutive learning of topics in tune with the need of the hour.

I M.Sc Mathematics (Semesters I &II):

Major Core 2: Ordinary Differential Equations

The presented syllabus was accepted by the experts and a few revision were given as follows

The prescribed text book authored by ‘George F. Simmons’ is suggested and complete revision

of the content to be done.

For advancement in the PG level.

Major Core 4: Graph Theory

The presented syllabus was accepted by the experts and a few revision were given as follows

Unit V – Directed Graphs Chapter 7: Sections 7.1 and 7.3 are to be included.

For advancement in the PG level.

Major Core 5: Complex Analysis

The reference books authored by Dr. Karunakaran and Dr.Venkatachalabathy are suggested.

Non Major Elective 1: Quantitative Techniques

The presented syllabus was accepted by the experts and a few revision were given as follows

Unit I is named as Formulation of LPP and Graphical method.

Unit II is omitted.

Units III, IV and V are rearranged as Units II, III and IV respectively.

Unit V is to be replaced by Unit I.

For advancement in the PG level.

The following papers from I M.Sc Mathematics were accepted by the experts and a few

revisions were made.

Major Core 5: ‘Complex Analysis’ and Semester II, Major Core 8: ‘Operations Research’ will

be interchanged.

For consecutive application in accordance to the need of the hour.

New Courses added:

In addition to the above revisions in the syllabus, a new non major elective course titled

Discrete Mathematics was introduced for PG programme other than Mathematics.

II M.Sc Mathematics (Semesters III &IV):

Major Elective 1: Theory of Fuzzy Sets

The presented syllabus was accepted by the experts and a few revision were given as follows

Fuzzy LPP in unit V is shifted to Unit IV

Fuzzy Transportation problem is deleted from Unit V.

Fuzzy relations form Unit V authored by Dr. A. NagoorGani.

For advancement in the PG level.

NME 2: Statistical Methods

The presented syllabus was accepted by the experts and a few revision were given as follows

Standard Deviation, Skewness and Kurtosis are shifted to Unit II from Unit I.

For Unit III; the content will be Binomial Distribution-Poisson Distribution- Normal

Distribution – Mean and Variance of Binomial, Poisson and Normal Distributions.

Unit IV is omitted and the content will be from unit V,tests for large samples are shifted to

Unit IV.

T and F tests for small samples are included in Unit V.

For consecutive learning and advancement in the PG level.

M.Phil:

Course II: Algebra and Analysis:

Homotopy authored by James Munkers is to be introduced in unit V and’ positive Borel

Measures’ from unit III is to be deleted.

To emphasize the topological properties in Algebra and analysis.

New Courses added:

Two new elective(optional) courses titled Inventory Management, Inventory and Logistics

Management was introduced.

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 U15MA1MCT01 Major Core – 1: Calculus Old

I U15MA1ACT01 Allied – 1: Mathematical

Statistics-I

Old

I U15MA1ACT06 Allied – 2: Mathematical

Statistics-II

Old

II U15MA2MCT02 Major Core – 2:

Multivariate Calculus

Old

II U15MA2MCT03

Major Core – 3: Analytical

Geometry of Two and Three

Dimensions

Old

II U15MA2ACT08 Allied – 3: Mathematical

Statistics –III

Old

III U15MA3MCT04 Major Core - 4: Algebra

and Trigonometry

Old

III U15MA3MCT05 Major Core – 5: Real

Analysis – I

Old

III U15MA3SBT03 SBE 3: Aptitude

Mathematics

Old o

IV U15MA4MCT06 Major Core – 6: Modern

Algebra – I

Old

IV

U15MA4MET01/

U15MA4MET04/

U15MA4MET05

Major Elective – 1:

Numerical Methods /

Combinatorics /

Mathematical Modelling

Old

V U15MA5MCT07 Major Core – 7: Modern

Algebra – II

Old

V U15MA5MCT08 Major Core -8:

Optimization Techniques

Old

V U15MA5MCT09 Major Core – 9: Graph

Theory

Old

V U15MA5MCT10 Major Core – 10: Real

Analysis – II

Old

V U15MA5MET02/

U15MA5MET06

Major Elective -2:

Mechanics/ Astronomy

Old

V U15MA5SBT04 SBE 4: MATLAB

Applications

Old o

VI U15MA6MCT11

Major Core – 11:Theory of

Functions of a Complex

Variable.

Old

VI U15MA6MCT12 Major Core – 12:

Differential Equations ,

Old

Laplace Transforms and

Fourier Series

VI U15MA6MCT13

Major Core – 13:

Introduction to Fuzzy

Mathematics

Old

VI U15MA6MET03/

U15MA6MET07

Major Elective 3:

Programming in C++/

Number Theory

Old o

VI U15MA6SBT05 SBE 5: Application of

Algorithms

Old

VI U15DS6SBT06 Skill Based Elective – 6:

Research Methodology

Old

V U15MA5NMT01 NME 1: Quick Mathematics Old o

VI U15MA6NMT02 NME 2: Art of

Programming

Old

I U15MA1ACT02 Allied 1: Algebra ,

Calculus and Trigonometry

Old

I U15MA1ACT03 Allied 1 Business

Mathematics

Old

I U15MA1ACT04 Allied 1: Business

Mathematics and Statistics

Old

I U15MA1ACT05 Allied 2: Applied

Mathematics –I

Old

I U15MA1ACT07

Allied 2: Analytical

Geometry of Three

Dimensions and Vector

Calculus

Old

II U15MA2ACT09

Allied 3: Laplace

Transforms , Partial

Differential Equations and

Fourier Series

Old

II U15MA2ACT10 Allied 3: Business Statistics Old

II U15MA2ACT11 Allied 3: Applied

Mathematics –II

Old

III U15MA3AOP12 Allied Optional 4: Windows

Accessories and MS- Office

Old o

III U15MA3AOT13 Allied Optional 4: Applied

Mathematics –III

Old

III U15MA3AOT14

Allied Optional 4:

Differential Calculus and

Trigonometry

Old

III U15MA3AOT15

Allied Optional 4:

Mathematics for

Competitive Examinations

Old

IV U15MA4AOT16 Allied Optional 5: Internet

and Web Designing

Old o

IV U15MA4AOT17 Allied Optional 5: Algebra

and Integral Calculus

Old

IV U15MA4AOT18 Allied Optional 5: Decision

Making Techniques

Old

IV U15MA4AOT19 Allied Optional 6:

Programming in C

Old o

IV U15MA4AOT20

Allied Optional 6:

Analytical Geometry of

Three Dimensions, Vector

Calculus and Differential

Equations

Old

IV U15MA4AOT21

Allied Optional 6:

Numerical Methods and

Testing Hypothesis

Old

I P15MA1MCT01 Major Core 1:Linear

Algebra

Old

I P15MA1MCT02 Major Core 2:Ordinary

Differential Equations

Old

I P15MA1MCT03 Major Core 3:Mathematical

Analysis

Old

I P15MA1MCT04 Major Core 4:Graph Theory Old

I P15MA1MCT05 Major Core 5:Complex

Analysis

Old

o

II P15MA2MCT06 Major Core 6:Algebra Old

II P15MA2MCT07

Major Core 7:Partial

Differential Equations and

Integral Transforms

Old

II P15MA2MCT08 Major Core 8:Operations

Research

Old

II P15MA2MCT09 Major Core 9:Classical

Mechanics

Old

III P15MA3MCT10 Major Core 10:Topology Old

III P15MA3MCT11 Major Core 11:Measure and

Integration

Old

III P15MA3MCT12 Major Core 12:Number

Theory

Old

III P15MA3MET01/

P15MA3MET02

Major Elective-1:Theory of

Fuzzy Sets/ Automata

Theory

Old

IV P15MA4MCT13 Major Core 13:Functional

Analysis

Old

IV P15MA4MCT14

Major Core

14:Computational

Mathematics Lab

Old o

IV P15MA4MET01/

P15MA4MET02

Major Elective-2: Coding

Theory/ Fluid Dynamics

Old

IV P15MA4MET03/

P15MA4MET04

Major Elective-3: Stochastic

Processes/ Differential

Geometry

Old

II P15MA2NMT01 NME 1: Quantitative

Techniques

Old

o

III P15MA3NMT02 NME 2: Statistical Methods Old

o

IV P17MA4SST01 LATEX-Type Setting(Self

Study Paper)

Old

II P18MA2NMT01 NME 1:Discrete

Mathematics

New

I MPH16MA1C01 Course I: General Research

Methodology

Old

I MPH16MA1C02 Course II: Algebra and

Analysis

Old

I MPH18MA1C03

Course III: Professional

Skills for Teaching –

Learning

New

I MPH18MA1E04 Course IV: Environmental

Management and Risk

Assessment

Old

I MPH18MA1E05 Course IV: Fuzzy Queueing Old

I MPH18MA1E06 Course IV: Fuzzy Cognitive

Map Model

Old

I MPH18MA1E07 Course IV: Transportation

Theory

Old

I MPH18MA1E08 Course IV: Inventory

Control Systems

Old

I MPH18MA1E09 Course IV: Inventory

Management

New

I MPH18MA1E10 Course IV: Inventory

Models and Environmental

Sustainability

Old

I MPH18MA1E11 Course IV: Inventory and

Logistics Management

New