MATHEMATICS-I (BT102)

label_important 1.1 Rolle’s Mean value Theorem

label_important1.2 Lagrange’s Mean Value Theorem

label_important 1.3 Cauchy’s and Generalized mean value Theorem

label_important 1.4 Taylor & Maclaurin Series

label_important 1.5 Partial Differentiation

label_important 1.6 Maxima & Minima

label_important 1.7 Lagrange's Method

label_important 2.1 Definite Integral

label_important2.2 Beta Function

label_important 2.3 Gamma Function

label_important 2.4 Relation Between Gamma and Beta Function

label_important 2.5 Double Integral

label_important 2.6 Triple Integral

label_important 2.7 Change of Order of Integration

label_important 2.8 Application of Double Integral (Area)

label_important 2.9 Application of Triple Integral (Volume)

label_important 3.1 Sequences

label_important3.2 Infinite series

label_important 3.3 Comparison test

label_important 3.4 Integral test

label_important 3.5 D'Alembert's ratio test

label_important 3.6 Raabe's test

label_important 3.7 Logarithmic test

label_important 4.1 Vector Spaces

label_important 4.2 Sub Spaces

label_important 4.3 Linear Combination and Systems of Equations

label_important 4.4 Linear Dependence and Linear Independence

label_important 4.5 Bases and dimension

label_important 4.6 Finite Dimensional Vector Space

label_important 4.7 Linear Transformations

label_important 5.1 Matrix Introduction

label_important5.2 Rank of a matrix (Echelon form)

label_important5.3 Rank of a matrix (Normal form or Canonical form)

label_important 5.4 Consistency of Non-Homogenous Linear Equations

label_important 5.5 Consistency of Homogenous Linear Equations

label_important 5.6 Characteristic Equation

label_important 5.7 Eigen values and Eigen vectors

label_important 5.8 Properties of Eigen values and Eigen vectors

label_important 5.9 Cayley Hamilton Theorem

label_important 5.10 Diagonalisation of matrix (Similarity Transformation)

label_important 5.11 Diagonalisation of matrix (Orthogonal Transformation)