ANNA UNIVERSITY, CHENNAI
REGULATIONS 2013
(Common to all B.E. / B.Tech. Degree Full – Time Programmes of
Affiliated Institutions)

MA6151 MATHEMATICS I

Important Topics  

UNIT I MATRICES

Eigen values and Eigenvectors

Cayley-Hamilton Theorem

Quadratic form to canonical form

UNIT II SEQUENCES AND SERIES

Tests of convergence

D‟Alembert‟s ratio test

Leibnitz‟s test

UNIT III APPLICATIONS OF DIFFERENTIAL CALCULUS

Centre and radius of curvature

Envelopes

UNIT IV DIFFERENTIAL CALCULUS OF SEVERAL VARIABLES

Jacobian and properties

Taylor‟s series

Maxima and minima

Lagrange‟s method

UNIT V MULTIPLE INTEGRALS

Change of order of integration

Triple integrals

Change of variables in double integrals