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UNIT–I: MATRICES
Rank of a Matrix Guide
Rank of a Matrix Guide
Systems of Linear Equations
Special Matrices Guide
Eigenvalues and Eigenvectors
Diagonalization of Matrices
Cayley Hamilton Theorem
Orthogonal Transformations
UNIT–II: FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
Differential Equations Guide
Linear Differential Equations
Bernoullis Equation
Exact Differential Equations
Differential Equations Not of First Degree
UNIT–III: ORDINARY DIFFERENTIAL EQUATIONS OF HIGHER ORDER
Linear Differential Equations with Constant Coefficients
Simultaneous Linear Differential Equations
Variable Coefficients ODEs
Method of Variation of Parameters
Cauchy-Euler Equations
Power Series and Frobenius
UNIT–IV: PARTIAL DIFFERENTIAL EQUATIONS – FIRST ORDER
Partial Differential Equations
Formation of PDEs
Linear PDEs and Lagrange
Lagrange Method Comprehensive
Charpit Method
UNIT–V: PARTIAL DIFFERENTIAL EQUATIONS – HIGHER ORDER
Second Order PDEs
Separation of Variables
Applications of PDEs