mlsu.ac.in B.A I-Year Syllabus : Mohanlal Sukhadia University

University : Mohanlal Sukhadia University
Degree : B.A
Applicable For : First Year
Announcement : Syllabus
Website : https://www.mlsu.ac.in/index.php

MLSU B.A I-Year Syllabus

Maths :
UNIT-I :
Symmetric, Skew Symmetric, Hermition and skew Hermition matrices. Linear independence of row and column matrices. Row rank, column rank and rank of a matrix. Equivalence of column and row ranks.

Related : AIEEA PG Syllabus Indian Council of Agricultural Research : www.syllabus.gen.in/1003.html

Eigen values, Eigen vectors and characteristic equation of a matrix. Cayley-Hamilton theorem and its use in finding inverse of a matrix. Theorems and examples of consistency of a system of linear equations.

UNIT- II :
Relation between the roots and coefficients of general polynomial equation in one variable. Transformation of equations. Descarte’s Rule of signs, solution of Cubic equations (Cardon method). Biquadratic equations. Horner’s Method, Ferrari’s Method.

UNIT-III :
Groups and their defining theorems. Various examples, order of an element and related theorems, Permutation Groups, even and odd permutations, cyclic groups, subgroups, union, intersection of two and finite subgroups and various examples, product of two subgroups.

UNIT –IV :
Left and right cosets and their properties, Lagrange’s theorem, index of a subgroup. Normal subgroups their examples and elementary basic theorems, Quotient group.

Simple group, centre of group, Normalizer of an element and that of a subgroup, Conjugacy relation, class equation for finite groups.

UNIT-V :
Group homomorphism and isomorphism with elementary basic properties, Cayley’s theorem for finite groups, fundamental theorem of homomorphism in groups. The three isomorphism theorems of groups. Automorphisms and inner automorphisms.

Statistics :
UNIT – I :
Definition and History of Statistics, Concept of statistical population. Attributes and Variables, different methods of collection, classification and tabulation of statistical data.

Representation of Data : Discrete and continuous variates, Construction of frequency tables for grouped and ungrouped data in uni-variate and bivariate cases, Histogram, Frequency polygon, curves and ogives, One, two and three-dimensional diagrams.

UNIT – II :
Measures of Location : Arithmetic mean, weighted arithmetic mean, geometric mean and harmonic mean, Median and Mode.

Requisites of an ideal measure of central tendency, merits and demerits of various measures of central tendency. Partition Values: Quartiles, Deciles and Percentiles.

UNIT – III :
Measures of Dispersion: Range, Semi-interquartile range, Mean deviation, Root mean square deviation, Standard deviation and coefficient of variation. Lorenz curve, Requisites of an ideal measure of dispersion.

UNIT – IV :
Moments: Raw, central, factorial and absolute moments, Relationship between central, raw and factorial moments. Charlier’s checks and Sheppard’s corrections (without proof), effect of change of origin and scale on moments. Different measures of Skewness and Kurtosis.

UNIT – V :
Theory of Attributes: Class frequencies and their order ( up to three attributes only), consistency of data, association and independence of attributes. Yule’s coefficient of association and coefficient of colligation.

Download Syllabus :
Maths : http://www.syllabus.gen.in/uploads/1006-Maths.pdf
Statistics : http://www.syllabus.gen.in/uploads/1006-Statistics.pdf
Economics : http://www.syllabus.gen.in/uploads/1006-Economics.pdf
English : http://www.syllabus.gen.in/uploads/1006-English.pdf
Psychology : http://www.syllabus.gen.in/uploads/1006-Psychology.pdf