MA6151 Mathematics-I Units 1 and 2 Scanned Lecture Notes - Sridhar Edition

[Srini]

   

Anna University , Chennai

Common to All Department

First Semester

MA6151 Mathematics-I 

(Regulation 2013)

Content :

UNIT-1

Introduction to matrices
Matrix addition
Matrix multiplication
Eigen values and eigenvectors
Properties of eigenvalue
Uses of cayley-hamilton theorem
Working rule
Diagonalisation of a matrix
Working rule for orthogonal diagonalisation
Canonical form
Nature of Q.F
Quadratic form
Reduction of quadratic form to conical form 

UNIT-2

SEQUENCES AND SERIES
Sequence
Convergent sequence
Divergent sequence
Oscillation sequence
Monotonically increasing sequence
Monotonically decreasing sequence
Alternating sequence
Bounded sequence
Necessary condition for convergence
Geometric series
D’Alembert’s ratio test
Cauchys integral test
Alternating series
Leibnitz test
Series of positive and negative terms
Absolute and conditional convergence 

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