Introduction
Fundamentals
Expansion of cos^n theta and sin^n theta
Expansion cos n theta and sin n theta
Expansion cos n theta and sin n theta
Expansion of cos n theta and sin n theta
Expansion of tan n theta
Expansion of sin theta, cos theta and tan theta in powers of theta
Hyperbolic functions
Inverse Hyperbolic functions
Problems on Hyperbolic functions-I
Problems on Hyperbolic functions-II
Problems on Hyperbolic functions-III
Logarithms of complex numbers
Problems on Logarithm of complex numbers
Echelon matrix
Rank
Problems on rank of a matrix
System of equations
Inverse
Linearly independent and dependent
Eigen values and Eigen vectors
Properties of Eigen values and Eigen vectors
Problems on Eigen values and eigen vectors-I
Problems on Eigen values and eigen vectors-II
Diagonalization
Diagonalization by similartiy transformation
Problems on diagonalization
Diagonalization by orthogonal transformation
Quadratic forms
Problems on quadratic forms
Singular value decomposition
Applications of matrices
Introduction to Theory of equations
Relations between roots and coefficients
Problems on relations between roots and coefficiencts-I
Problems on relations between roots and coefficiencts-II
Symmetric functions-I
Symmetric functions-II
Transformation
Problems on Transformation of roots
Reciprocal equations
Diminishing the roots
Descartes rules of signs
Binomial series
Problems on Binomial series
Exponential series
Problems on exponential series
Problems on exponential series
Problems on exponential series
Logarithmic series
Problems on Logarithmic series
Problems on Logarithmic series
Stability analysis
Stability analysis
Applications of matrices
Revision
Applications of matrices
Applications of matrices
Applications of matrices
Introduction to multiple integrals
Evaluation of double and triple integrals
Change of order of integration
Beta and Gamma functions
Problems on Beta and gamma functions
Problems on Beta and gamma functions
Applications of multiple integrals
