Lecture 1
Indeterminate forms and L'Hospital's rule

Lecture 2
Indeterminate forms and L'Hospital's rule

LECTURE 3
Indeterminate forms and L'Hospital's rule

Lecture 4
Rolle's theorem

Lecture 5
Mean Value theorems

Lectute 6
Evolutes and Involutes

Lecture 7
Evolutes and Involutes

Lecture 8
Evaluation of definite integrals

Lecture 9
Improper integrals

Lecture 10
Beta and Gamma functions and their properties

Lecture 11
Application of Definite integrals

Lecture 12
Application of definite integrals

Lecture 13
Matrices: addition, scalar multiplication and matrix multipplication

Lecture 14
linear systems of equations

Lecture 15
Rank of a matrix

Lecture 16
Determinants

Lecture 17
Cramer's rule

Lecture 18
Inverse of a matrix

Lecture 19
Gauss elimination method

Lecture 20
Gauss-Jordan method

Lecture 21
Vector space

Lecture 22
Linear dependence of vectors

Lecture 23
Basis , Dimension

Lecture 24
Basis , Dimension

Lecture 25
Linear transformation and kernel of a linear map

Lecture 26
Rank and Nullity

Lecture 27
Composition of linear maps and inverse of a linear transformation

Lecture 28
Matrix associated with a linear map

Lecture 29
Eigen values and Eigen vectors

Lecture 30
Symmetric, Skew-symmetric matrix

Lecture 31
orthogonal matrix and Diagonalization

Lecture 32
Inner product space

Lecture 33
Gram-Schmidt theorem