Numerical Derivatives: First Order, Backward Finite Difference Formulas

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Explores backward and central differences for numerical differentiation, analyzing their properties and error analysis.

Explores numerical differentiation and integration methods, emphasizing the accuracy of finite differences in computing derivatives and integrals.

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Introduces numerical optimization with Scipy, covering zero finding, problem dimensionality, derivatives, and advanced visualization techniques.

Covers Taylor polynomials and their role in approximating functions in multiple variables.

Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

Explores the stability analysis of finite difference methods for solving differential equations.

Covers the theory of finite differences and the mean value theorem.

Covers numerical differentiation and integration techniques using examples and quadrature formulas.

Introduces numerical root finding, differentiation, integration, and ODE solving using Scipy.