Section outline
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Topics of Discussion:
Interpolation is the process of deriving a simple function from a set of discrete data points so that the function passes through all the given data points (i.e. reproduces the data points exactly) and can be used to estimate data points in-between the given ones. It is necessary because in science and engineering we often need to deal with discrete experimental data. Interpolation is also used to simplify complicated functions by sampling data points and interpolating them using a simpler function. Polynomials are commonly used for interpolation because they are easier to evaluate, differentiate, and integrate - known as polynomial interpolation.
Expected Learning Outcomes:
Learners are able to :
- construct a function which closely fits given n- points in the plane by using interpolation method
- find the Lagrange polynomial passing through the given point.
- To solve any problem by using the Forward and Backward method .
- To calculate any problem by using the divided difference methods.
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