CONTENTS
1. ERRORS AND APPROXIMATIONS
Types of errors.
Floating point representation.
Significant numbers.
Propagation of errors.
Conditioning and stability.
2. numerical solution of SYSTEMS OF LINEAR EQUATIONS
Definition.
Iterative methods: Jacobi and Gauss-Seidel.
3. NUMERICAL Solution of SYSTEMS OF NONLINEAR EQUATIONS
Graphical methods.
Bissection methods.
Newton-Raphson Method.
4. POLYNOMIAL INTERPOLATION
Definition.
Lagrange polynomials. Newton's formula.
Error in polynomial interpolation.
Interpolating equally distant values.
Splines.
5. NUMERICAL INTEGRATION TECHNIQUES
Definition.
Trapezoidal rule.
Simpson's rule.
Errors.
6. NUMERICAL Solution of algebraic equations