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Relations and SequencesCovers relations, sequences, and posets, emphasizing properties like anti-symmetry and transitivity, and introduces arithmetic and geometric progressions.
Bernoulli Differential EquationExplores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.
Diffusion: Macroscopic ViewExplores diffusion from a macroscopic perspective, emphasizing the derivation of the diffusion equation through mass conservation and fixed flux law.
Numerical Approximation of PDEsCovers the numerical approximation of PDEs, including Poisson and heat equations, transport phenomena, and incompressible limits.
Second Order EquationsCovers second-order differential equations, focusing on finding particular solutions and the general solution.