Integration and Differentiation
Lecture 1
NUMERICAL DIFFERENTIATION METHODS: From simple Taylor series expansions, the theory of numerical differentiation is developed.
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Supplementary Videos
Lecture 2
HIGHER-ORDER ACCURACY SCHEMES FOR DIFFERENTIATION AND INTEGRATION: The accuracy of the differentiation approximations is considered and new schemes are developed to lower the error. Integration is also introduced as a numerical algorithm.
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Lecture 3
HIGHER-ORDER INTEGRATION SCHEMES: Higher-order numerical integration schemes are considered along the classic schemes of trapezoidal rule and Simpson’s rule.
MATLAB COMMANDS
TRAPZ CUMTRAPZ QUAD
MATLAB CODE