Engineering Mathematics-I (BTCE104)

label_important 1.1 Matrix Introduction

label_important1.2 Real matrices: Symmetric, skew – symmetric, orthogonals

label_important 1.3 Complex matrices: Hermitian, Skew - Hermitian, Unitary Matrices

label_important 1.4 Rank of a matrix (Echelon form)

label_important 1.5 Rank of a matrix (Normal form or Canonical form)

label_important 1.6 Inverse of a matrix by Gauss – Jordan method

label_important 1.7 Consistency of Non-Homogenous Linear Equations

label_important 1.8 Consistency of Homogenous Linear Equations

label_important 1.9 Characteristic Equation

label_important 1.10 Eigen values and Eigen vectors

label_important 1.11 Properties of Eigen values and Eigen vectors

label_important 1.12 Cayley Hamilton Theorem

label_important 1.13 Diagonalisation of matrix (Orthogonal Transformation)

label_important 3.1 Partial Differentiation

label_important3.2 Euler's Theorems

label_important 3.3 Total Derivatives

label_important 3.4 Taylors Series & Maclaurin Series

label_important 3.5 Maxima & Minima

label_important 3.6 Lagrange's Method

label_important 3.7 Jacobian's

label_important 3.8 Errors and Approximation

label_important 4.1 Double Integral

label_important4.2 Triple Integral

label_important 4.3 Change of Order of Integration

label_important 4.4 Change of Variables (Double Integral)

label_important 4.5 Change of Variables (Triple Integral)

label_important 4.6 Application of Double Integral (Area)

label_important 4.7 Application of Triple Integral (Volume)

label_important 5.1 Gradient

label_important5.2 Directional derivatives

label_important 5.3 Curl & Divergence

label_important 5.4 Solenoidal and Irrotational

label_important 5.5 Line Integral

label_important 5.6 Surface Integral

label_important 5.7 Volume Integral

label_important 5.8 Greens Theorem

label_important 5.9 Gauss divergence Theorem

label_important 5.10 Stokes Theorem