label_important1. MATRICES
7 Chapters | 48 Solved Problems
label_important 1.1 Introduction
label_important1.2 Characteristic Equation
label_important 1.3 Eigen values and Eigen vectors
label_important 1.4 Properties of Eigen values and Eigen vectors
label_important 1.5 Cayley Hamilton Theorem
label_important 1.6 Diagonalisation of matrix (Orthogonal Transformation)
label_important 1.7 Quadratic forms and Nature of quadratic forms
label_important2. GEOMETRICAL APPLICATIONS OF DIFFERENTIAL CALCULUS
6 Chapters | 46 Solved Problems
label_important 2.1 Radius of curvature in cartesian
label_important2.2 Radius of curvature in parametric
label_important 2.3 Radius of curvature in polar
label_important2.4 Centre of Curvature
label_important2.5 Evolute and Involute
label_important2.6 Envelopes
label_important3. FUNCTIONS OF SEVERAL VARIABLES
6 Chapters | 49 Solved Problems
label_important 3.1 Partial Differentiation
label_important3.2 Total Derivatives (Chain Rule)
label_important 3.3 Jacobian's
label_important 3.4 Taylors Series & Maclaurin Series
label_important 3.5 Maxima & Minima
label_important 3.6 Lagrange's Method
label_important 4. INTEGRAL CALCULUS I
5 Chapters | 47 Solved Problems
label_important 4.1 Definite Integral
label_important4.2 Properties of Definite Integral
label_important 4.3 Beta Functions
label_important 4.4 Gamma Function
label_important 4.5 Relation Between Gamma and Beta Function
label_important 5. INTEGRAL CALCULUS II
7 Chapters | 78 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 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)