Math-131: Lecture notes for Spring 2018

Lectures notes

  • Lecture 2 (basic error and some definitions)
  • Lecture 3 (rate of convergence and bisection method)
  • Lecture 4, fixed-point iteration (to be completed)
  • Lecture 5 (newton's method)
  • Lecture 6 (interpolation and lagrage polynomials)
  • Lecture 7 (error of lagrange, and newton's divided differences)
  • Lecture 8 (more divided differences and cubic splines)
  • Lecture 9 (numerical differentiation)
  • Lecture 10 (starting numerical integration, trapezoid rule, and simpson's rule)
  • Lecture 11 (composite rules for numerical integration)
  • Lecture 12 (round off error stability and odes)
  • Lecture notes chapter 5. numerical methods for odes

Math-131: Lecture notes for Spring 2018

  • Math-131: Lecture notes for Spring 2018
  • ccarvalho3@ucmerced.edu

These are lectures notes kindly typed by Purxiz (github.com/purxiz) for the class "Math 131: Numerical methods for engineers and scientists" for Spring 2018, given at the University of California, Merced. Thanks to Purxiz (and Elsie) for putting those notes together. Typos might be there, don't hesitate to reach out to make corrections.