1. Useful calculus

Here, you can find useful identities regarding trigonometric functions, complex numbers, and the Euler formula. These will be useful later when working on von Neumann stability analysis of finite difference schemes.

• 1.1. Taylor series
• 1.2. Trigonometry
• 1.3. Absolute values
• 1.4. Complex numbers
• 1.5. The Euler formula
• 1.6. Fourier transforms
• 1.7. Bonus example code for visualisation of the Fourier components!
• 1.8. The Formal definition of the derivative
• 1.9. Differential equations