Lecture modules
1. Floating point systems
2. Root finding
• Bisection method
• Fixed point iteration
• Newton's method
3. Linear systems
• Gaussian elimination
• LU factorization
• Permuted LU
• Special matrices
• Classical iteration
4. Non-linear systems
5. Interpolation
   • Issues and improvements
   • Splines
6. Finite differences
7. Quadrature
   • Newton-Cotes
   • Gaussian
8. Introduction to optimization
   • Least squares problems
9. Finite differences
   for differential
   equations

Supplemetary notes
• Floating Point Systems
• Bisection Method
• Interpolation examples
• Gradients involving matrices
• Barycentric Lagrange interpolation
• Spline interpolation
• Finite difference schemes
• Newton Cotes quadrature
• Gaussian quadrature
• Introduction to optimization
• Least squares problems
• Finite differences for differential equations
• Solving a differential equation using finite difference method

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