2.  Introductory Exercises

• numerical differentiation
  • read Numerical Recipes, Sec. 5.7
  • example files:
    • differentiate0.py
    • differentiate1.py
    • plot errors versus dx: differentiate2.py
    • more elaborate plotting: differentiate3.py
    • fitting and extrapolation: differentiate_extrap.py

• numerical integration
  
  
  • Some Newton-Cotes formulae
    • read Numerical Recipes, Sec. 4.1
    • basic example: integrate0.py

    • Exercise 2.1: Measure the slope of the straight line in the log-log plot produced by the above example. Now modify the code to perform the integration using the Trapezoid rule. How does the slope of the line change?
    
    
  • Romberg integration
    • read Numerical Recipes, Sec. 4.3
    
    
  • Quadratures
    • read Numerical Recipes, Sec. 4.6
    • example:
      • gauss_cheb.py
    • quadrature application (Gauss-Chebyshev)

• Homework #1