Engineering Mathematics - I (BAS103)

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 1.11 Complex matrices: Hermitian, Skew - Hermitian, Unitary Matrices

label_important 2.1 Derivation of nth Derivative

label_important2.2 Leibnitz's Theorem

label_important 2.3 Curve Tracing in Cartesian

label_important 2.4 Partial Differentiation

label_important2.5 Euler's Theorems

label_important 2.6 Total Derivatives (Chain Rule)

label_important 2.7 Change of variable (Composite Function)

label_important 3.1 Taylors Series & Maclaurin Series

label_important3.2 Maxima & Minima

label_important3.3 Lagrange's Method

label_important 3.4 Jacobian's

label_important 4.1 Double Integral

label_important4.2 Change of Order of Integration

label_important 4.3 Change of Variables (Double Integral)

label_important 4.4 Application of Double Integral (Area)

label_important 4.5 Triple Integral

label_important 4.6 Change of Variables (Triple Integral)

label_important 4.7 Application of Triple Integral (Volume)

label_important 4.8 Beta Function

label_important 4.9 Gamma Function

label_important 4.10 Relation Between Gamma and Beta Function

label_important 5.1 Gradient

label_important5.2 Directional Derivatives

label_important5.3 Curl & Divergence

label_important 5.4 Solenoidal & 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