Week 11-12: Numerical Integration.

 

Learning Outcomes:

In this section, we will learn how Newton-Cotes formulas are the most common numerical integration schemes. They are based on the strategy of replacing a complicated function or tabulated data with an approximating function.

 

Lesson Plan:

Lecture 01: Introduction to (a) the Numerical Integration, (b) Types of Numerical Integration.

Lecture 02: Studying the (a) Newton-Cotes IntegrationFormulas, (b) Trapezoidal Rule of Integration, and its Extension.

Lecture 03: Discussion on Simpson's 1/3 Rule of Integration, and its Extension.

Lecture 04:Studying Other Newton-Cotes IntegrationFormulas i.e. Simpson’s 3/8 rule, Boole’s rule, etc.

Lecture 05: Learning the Error Estimation Techniques.

Lecture 06: Solving the Exercises Related to the Numerical Integration and Learning their C++ Algorithm.

 

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numerical-itegration-numerical-methods-for-engineers-chapra-canale.pdf (1.30 MB )