Numerical Methods

Question 1

What is the general purpose of using numerical methods to solve equations?

Answer 1

• In order to solve equations (to find roots, areas etc) which we would not be able to solve using other methods.

Question 2

Which three numerical methods can be used to determine the root of an equation?

Answer 2

1. Change of Sign.
2. Newton Raphson.
3. Iteration.

Question 3

Which two numerical methods can be used to estimate the area under a curve? (Used when integration cannot be done)

Answer 3

• Estimate using rectangles.
• Estimate using trapezium rule.