Finite Difference Method: Approximating Derivatives and Equations

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

Covers the application of finite element methods to solve boundary value problems in one dimension.

Introduces finite element modeling for numerical solutions to complex problems.

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.