label_important1. MATRICES
11 Chapters | 78 Solved Problems
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_important2. DIFFERENTIAL CALCULUS - I
7 Chapters | 62 Solved Problems
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. DIFFERENTIAL CALCULUCS - II
4 Chapters | 35 Solved Problems
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. MULTIPLE INTEGRATION
10 Chapters | 104 Solved Problems
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. VECTOR CALCULUS
10 Chapters | 89 Solved Problems
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