2: Differentiation
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- 2.00: Physical Problems for Numerical Differentiation
- Samples of real-world engineering problems where numerical differentiation is applicable.
- 2.01: Prerequisites to Numerical Differentiation
- Exact definitions of the derivative. Calculating equations for the tangent line to a function at a point.
- 2.02: Numerical Differentiation of Continuous Functions
- Numerical differentiation to find first and second derivatives of continuous functions. Error analysis of the finite difference approximations.
- 2.03: Numerical Differentiation of Functions at Discrete Data Points
- Numerical differentiation to find first and second derivatives of functions given as discrete data points. Includes the method of direct interpolation.