Subject Details
Dept     : MCT
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:
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1.1 INTRODUCTION TO MATRICES
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1.2 Eigen Values And Eigen Vectors
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1.3 Problems On Eigen Value And Eigen Vector
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1.4 Tutorial 1
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1.5 Properties
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1.6 Cayley Hamilton Theorem
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1.7 DIAGONALIZATION OF MATRICES
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1.8 TUTORIAL 2
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1.9 Reduction to Quadratic form
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1.10 Problems on Reduction To Quadratic form
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1.12 TUTORIAL 3
UNIT 2:
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Curvature in Cartesian coordinates
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Centre and radius of curvature
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Centre and radius of curvature
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Circle of curvature
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Circle of curvature
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Evolutes
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Evolutes
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Envelopes
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Envelopes
UNIT 3:
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3.1-INTRODUCTION TO FUNCTIONS OF SEVERAL VARIABLES
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3.2-PARTIAL DERIVATIVES
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3.3-TOTAL DERIVATIVES
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3.4 -TUTORIAL 7
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3.5-JACOBIAN
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3.6-PROBLEMS ON JACOBIAN
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3.7-MAXIMA AND MINIMA OF FUNCTIONS OF TWO VARIABLES
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3.8-TUTORIAL 8
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3.10 LAGRANGE'S METHOD
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3.11-PROBLEMS ON LAGRANGES
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3.12-TUTORIAL 9