NUMERICAL METHODS
Errors
Roots by iterative methods
Numerical integration
Errors
- Describe types of errors and their sources
- Distinguish between absolute and relative errors
- State effect of absolute and relative errors on basic operations
Roots by iterative methods
- Derive Newton Raphson formula
- Use Newton Raphson to approximate root of a function nth root of a number and reciprocal of a number
- Derive secant formula
- Use secant formula to approximate a root of a function
Numerical integration
- Derive trapezium rule
- Apply trapezium rule to evaluate definite integrals
- Derive Simpson’s rule
- Apply Simpson's rule to evaluate definite integrals