QS026 Numerical Method - Newton Raphson Method

This method is used to approximate a certain root of an equation. This is done by find it's derivative and putting it in
Technically this is a tedious method with repetition of numerical computation. Students tends to make mistake. However with the usage of "Calculate" option in today's scientific calculator, mistakes can be minimize.

Basically we need to approximate the initial value and hope that the value will be reduced to the root instead of converging.

Please see this useful video on Newton-Raphson Method...

QS026 Numerical Method - Trapezium Rule

In this first sub-topic of Chapter 7, basically matriculation students are exposed to an alternative numerical method to find the area under a certain graph. Normally we would use integration as the fastest and more accurate way of finding area under the graph.

Trapezium rule however, introduce an alternative where we actually break the area under the graph into several trapezium. Instead of integrating, we add all those trapezium areas together to sums up the equivalent area under the graph.

Remember the value gained does not necessarily be the same as trapezium rule actually gets the approximate area under the graph only. Interesting method nonetheless and the easier way for some functions that has difficult integrations.

This video will give you better step-by-step explanation.