Engineering Mathematics - I (SMTA1101) Full Course Bundle

label_important 1.1 Introduction

label_important1.2 Characteristic Equation

label_important 1.3 Eigen values and Eigen vectors

label_important 1.4 Properties of Eigen values and Eigen vectors

label_important 1.5 Cayley Hamilton Theorem

label_important 1.6 Diagonalisation of matrix (Orthogonal Transformation)

label_important 1.7 Quadratic forms and Nature of quadratic forms

label_important 2.1 Radius of curvature in cartesian

label_important2.2 Radius of curvature in parametric

label_important 2.3 Radius of curvature in polar

label_important2.4 Centre of Curvature

label_important2.5 Evolute and Involute

label_important2.6 Envelopes

label_important 3.1 Partial Differentiation

label_important3.2 Total Derivatives (Chain Rule)

label_important 3.3 Jacobian's

label_important 3.4 Taylors Series & Maclaurin Series

label_important 3.5 Maxima & Minima

label_important 3.6 Lagrange's Method

label_important 4.1 Definite Integral

label_important4.2 Properties of Definite Integral

label_important 4.3 Beta Functions

label_important 4.4 Gamma Function

label_important 4.5 Relation Between Gamma and Beta Function

label_important 5.1 Double Integral

label_important5.2 Change of Order of Integration

label_important 5.3 Change of Variables (Double Integral)

label_important 5.4 Application of Double Integral (Area)

label_important 5.5 Triple Integral

label_important 5.6 Change of Variables (Triple Integral)

label_important 5.7 Application of Triple Integral (Volume)