Numerical calculation

• Numpy Array
  • Mathematical operation on array
  • Data type
  • Array indexing
  • 2D array and linear algebra
  • Useful functions and methods
  • Saving numpy array
  • Understanding numpy array
  • Beyond numpy
• Exercises on numpy array
  • Squared numbers
  • Calculation of pi
  • Allan variance
  • Mandelbrot set
• Graphics in Python
  • The plot command
  • Other commands
  • Latex formula
  • Main graphical commands
• Exercises on graphics (and numpy)
  • Measurement of pi (Monte Carlo)
  • Bode plot
• Data fitting
  • curve_fit
  • Fitting image
• Exercises on fit
  • Fit of inteference fringes
  • Fit of a picture
• Differential equation
• Exercises on differential equation
  • The pendulum equation
  • Solving the Schrödinger equation using the finite element method
• Fourier analysis
  • Formulas
  • FFT
• Exercises on Fourier analysis
  • Simple example of Fourier transform
  • Power spectral density
  • Sound analysis
  • Window function