Lecture Notes || SNS Courseware

Subject Details

Dept : AIDS

Sem : 1

Regul : 2023

Faculty : Dr. A. Stephan Antony Raj

phone : 9976962816

E-mail : stephan.a.maths@snsce.ac.in

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Lecture Notes

UNIT 1:

1.1 INTRODUCTION TO MATRICES

1.2 Eigen Values And Eigen Vectors

1.3 Problems On Eigen Value And Eigen Vector

1.4 Tutorial 1

1.5 Properties

1.6 Cayley Hamilton Theorem

1.7 DIAGONALIZATION OF MATRICES

1.8 TUTORIAL

UNIT 2:

Curvature in Cartesian coordinates

Centre and radius of curvature

Tutorial 4

Circle of curvature

Evolutes

Envelopes

UNIT 3:

3.1-INTRODUCTION TO FUNCTIONS OF SEVERAL VARIABLES

3.2-PARTIAL DERIVATIVES

3.3-TOTAL DERIVATIVES

3.4 -TUTORIAL 7

3.5-JACOBIAN

3.6-PROBLEMS ON JACOBIAN

3.7-MAXIMA AND MINIMA OF FUNCTIONS OF TWO VARIABLES

3.8-TUTORIAL 8

3.9 PROBLEMS ON MAXIMA AND MINIMA OF FUNCTIONS OF TWO VARIABLES

3.10 LAGRANGE'S METHOD

3.11-PROBLEMS ON LAGRANGES

3.12-TUTORIAL 9

Lecture Notes