Numerical Calculus Exercises

This repository contains the solutions and related materials for the Numerical Calculus course exercises at University of São Paulo. Each folder in this repository corresponds to a specific exercise assignment, each dealing with a different aspect of numerical methods and their applications.

Folder Structure

• Exercise 1: LU Decomposition

  • Codigo_EP1.ipynb: This Jupyter notebook includes the implementation and demonstration of LU Decomposition used to solve systems of linear equations.

• Exercise 2: Heat Transfer in a Chip

  • Ep2.ipynb: This notebook simulates heat transfer in a chip, showcasing how numerical methods can address real-world engineering problems.

• Exercise 3: Gauss-Legendre Quadrature

  • Ep3_Codigo.ipynb: Contains the implementation of the Gauss-Legendre method for solving integrals, with examples demonstrating its application.

Usage

To view and run the notebooks, make sure you have Jupyter installed, which can be done via pip if you haven't installed it yet:

pip install notebook

To start Jupyter Notebook, run:

jupyter notebook

Navigate to the exercise notebook you want to view or modify. For example, to open the notebook for Exercise 1, you would navigate to the Codigo_EP1.ipynb in the Jupyter interface.