Boundary Value Problems in 1D

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Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

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Covers the numerical resolution of a Cauchy problem using separation of variables and discusses the conditions for the solution's definition interval.

Weak Derivatives: Definition and Properties

Covers weak derivatives, their properties, and applications in functional analysis.

Internal Heat Transfer Effects

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.

NumPy Arrays and Graphical Representations: Introduction

Covers NumPy arrays and their graphical representations using Matplotlib, focusing on array creation, manipulation, and visualization techniques.

Advanced Analysis: Differential Equations Overview

Provides an overview of differential equations, their properties, and methods for finding solutions through various examples and graphical representations.

Mathematica Tutorial: Graphics and Functions

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Nonlinear Equations: Fixed Point Method Convergence

Covers the convergence of fixed point methods for nonlinear equations, including global and local convergence theorems and the order of convergence.

Integration by Substitution

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Differentiating under the integral sign

Explores differentiating under the integral sign and continuity of functions in integrals.