This repository provides course materials for the course ME360 at UH Mānoa.
The course materials provided in this repository are based on the textbook Numerical Analysis by Timothy Sauer. Chapters covered in the course are:
- Chapter 0: Fundamentals
- 0.1 Evaluating a Polynomial
- 0.2 Binary Numbers
- 0.3 Floating Point Representation of Real Numbers
- Chapter 1: Solving Equations (root-finding)
- 1.1 The Bisection Method
- 1.2 Fixed-Point Iteration
- 1.3 Limits
- 1.4 Newton’s Method
- 1.5 Root-Finding without Derivatives
- Chapter 2: Numerical Linear Algebra
- 2.1 Gaussian Elimination
- 2.2 The LU Factorization
- 2.3 Sources of Error
- 2.4 The PA = LU Factorization
- Chapter 5: Numerical Differentiation and Integration
- 5.1 Numerical Differentiation
- 5.2 Newton–Cotes Formulas for Numerical Integration
- Chapter 6, Ordinary Differential Equations
- 6.1 Initial Value Problems
- 6.2 Analysis of IVP Solvers
- 6.3 Systems of Ordinary Differential Equations
- 6.4 Runge–Kutta Methods and Applications
In this repository, you can find a collection of lecture notes, Jupyter Notebooks and a sample course schedule. If you are offering a similar course and want my sample homeworks, exams and filled in-class Jupyter Notebooks, please email me.
Special thanks for Prof. Will Uspal for providing me his course materials when I was developing my course.