- Introduction, errors, and FLOPS
*Chapter 1*3 lectures

Approximation and Error Computer arithmetic - Nonlinear Equations
*Chapter 2*4 lectures

Introduction and scalar equations Nonlinear system of equations - Numerical solution of Linear systems
*Chapter 3*4 lectures

Solving linear systems Error analyses and accuracy iterative methods - Eigenvalue Problem
*Chapter 4* - Interpolation
*Chapter 5*3 lectures

Polinomial interpolation Piecewise polyunomial interpolation - Numerical Integration
*Chapter 6*3 lectures

- Numerical solution of the ODE's
*Chapter 7*4 lectures

Numerical quadrature Numerical differentiationIntroduction and Euler's method Accuracy and stability Implicit method and stiff equations Runge-Kutta and Taylor methods

- Least squares
*Chapter 8*3 lectures

*28 lectures including 3 midterms and one matlab lab*