label_important1. MATRICES
8 Chapters | 41 Solved Problems
label_important1.1 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 Gauss – Elimination method
label_important 1.8 Gauss - Seidal Method
label_important2. EIGEN VALUES AND EIGEN VECTORS
6 Chapters | 53 Solved Problems
label_important 2.1 Characteristic Equation
label_important2.2 Eigen values and Eigen vectors
label_important 2.3 Properties of Eigen values and Eigen vectors
label_important2.4 Cayley Hamilton Theorem
label_important2.5 Diagonalisation of matrix (Similarity Transformation)
label_important2.6 Diagonalisation of matrix (Orthogonal Transformation)
label_important2.7 Quadratic forms and Nature of quadratic forms
label_important3. CALCULUS
4 Chapters | 26 Solved Problems
label_important 3.1 Rolle’s Mean value Theorem
label_important3.2 Lagrange’s Mean Value Theorem
label_important 3.3 Cauchy’s and Generalized mean value Theorem
label_important 3.4 Taylor & Maclaurin Series
label_important 4. MULTIVARIABLE CALCULUS (PARTIAL DIFFERENTIATION AND APPLICATIONS)
7 Chapters | 56 Solved Problems
label_important 4.1 Function of two or more variables (Limit & Continuity)
label_important4.2 Partial Differentiation
label_important 4.3 Total Derivatives (Chain Rule)
label_important 4.4 Taylor's and Maclaurin's series
label_important 4.5 Jacobian's
label_important 4.6 Maxima & Minima
label_important 4.7 Lagrange's Method
label_important 5. MULTIVARIABLE CALCULUS (INTEGRATION)
7 Chapters | 79 Solved Problems
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 Triple Integral
label_important 5.5 Change of Variables (Triple Integral)
label_important 5.6 Application of Double Integral (Area)
label_important 5.7 Application of Triple Integral (Volume)
5.7 Application of Triple Integral (Volume)