1.Systems of Linear Algebraic Equations: Gauss Elimination Method, LU
decomposition, Choleski’s Decomposition Method, Symmetric and Banded Coefficient Matrices, Pivoting, Matrix Inversion, Iterative Methods
2.Symmetric Matrix Eigenvalue Problems: Jacobi Method, Power and Inverse Power Methods, Eigenvalues of Symmetric Tridiagonal Matrices, Computation of Eigenvectors
3. Two-Point Boundary Value Problems: Shooting Method
4. Solution of Partial Differential Equations: Separation of variables, Finite
Difference Method, The Relaxation Method, The matrix method for difference Equations.