Basic Mathematics
Paper Code:
GMAT 301
Credits:
4
Contact Hours:
60.00
Max. Marks:
100.00
Unit I:
I
9.00
Permutations and Combinations :Fundamental principle of counting. Factorial n. (n!) Permutations and combinations, derivation of Formulae for nPr and nCr and their connections, simple applications.
Unit II:
II
9.00
Sequence and Series: Sequence and Series. Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), relation between A.M. and G.M.
Unit III:
III
9.00
Matrices : Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication.
Unit IV:
IV
9.00
Determinants: Determinant of a square matrix (up to 3 x 3 matrices), minors, co-factors. Adjoint and inverse of a square matrix. Consistency, inconsistency, and number of solutions of system of linear equations in two variables, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix and Cramer's law.
Unit V:
V
9.00
Vectors: Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, scalar (dot) product, vector (cross) product with properties.
Academic Year:
