Computational Methods: Numerical Integration


Learning Objectives

Upon successful completion of this module, you will be able to:

1) Define an integral.

2) Use Riemann’s sum to approximately calculate integrals.

3) Use Riemann’s sum and its limit to find the exact expression of integrals.

4) Find exact integrals of a few functions.

 

Videos

Title: Prior Knowledge Required for Numerical Integration

Summary: This video discusses prior knowledge needed for learning numerical integration. It includes the defiunition, the areas above and below the abscissa (x-axis), and the mean value of a function.

Learning Objectives: After watching this video, you will be able to refresh your pre-requisite knowledge of the integral calculus, calculate integrals exactly, and find the mean value of a function

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Title: Riemann Sum Review

Summary: This video discusses prior knowledge needed for learning numerical integration. It includes the review of Riemann sum and an example.

Learning Objectives: After watching this video, you will be able to solve an integral using Riemann sum which you learned previously in your integral calculus class.

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