Engineering Mathematics - I (BTBS101)

label_important 1.1 Matrix Introduction

label_important1.2 Rank of a matrix (Echelon form)

label_important 1.3 Rank of a matrix (Normal form or Canonical form)

label_important 1.4 Inverse of a matrix by Gauss – Jordan method

label_important 1.5 Consistency of Non-Homogenous Linear Equations

label_important 1.6 Consistency of Homogenous Linear Equations

label_important 1.7 Characteristic Equation

label_important 1.8 Eigen values and Eigen vectors

label_important 1.9 Properties of Eigen values and Eigen vectors

label_important 1.10 Cayley Hamilton Theorem

label_important 2.1 Partial Differentiation

label_important2.2 Euler's Theorems

label_important 2.3 Total Derivatives (Chain Rule)

label_important 2.4 Change of variable

label_important 3.1 Jacobian's

label_important3.2 Taylors Series & Maclaurin Series

label_important 3.3 Maxima & Minima

label_important 3.4 Lagrange's Method

label_important 4.1 Reduction formula for ∫sin^n xdx

label_important4.2 Reduction formula for ∫cos^n xdx

label_important 4.3 Reduction formula for ∫sin^m x . cos^n x dx

label_important 5.1 Double Integral

label_important5.2 Change of Order of Integration

label_important 5.3 Change of Variables (Double Integral)

label_important5.4 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)