- Problem 1.1 : Study of the Lorenz equations
- Problem 1.2 : Properties of Forward and Backward Euler
- Problem 1.3 : Classification of PDEs
- Problem 1.4 : Taylor expansions for Laplacian
- Problem 1.5 : Solution of the Heat equation using Fourier's method
- Problem 1.6 : Numerical stability condition for heat equation
- Problem 1.7 : Implementation and testing of a heat equation solver
- Problem 1.8 : Solution of the wave equation
- Problem 1.9 : Implementation and testing of a wave equation solver
- Problem 1.10 : Analysis of the Newton's method