MAT210 Numerical Analysis

• MAT210 Exam Review
• MAT210 L27: Solving ODE: Boundary Value Problems

Objective

To equip students with an understanding of numerical methods for problem solving in various areas, especially how to analyze their suitability, accuracy, efficiency, convergence and stability.

Delivery: 30 lectures, 15 workshops

Assessment: Course work: 50% Final Exam: 50%.

This course is based on Prof. Autar Kaw‘s USF Holistic Numerical Methods Website, and the workshops will build on the computing skill developed in MAT113.

There are online courses that can supplement or replace this course:

• Prof. Kaw’s MOOC Course at udemy
• Numerical Analysis at Saylor.org Academy (MA213)
• MIT Introduction to Numerical Methods

Online or Downloadable References for the Course:

• Course Outline & other course documents at Google Docs
• eTextbook
  • Kaw, Autar K. et al. (2010) Numerical Methods with Applications. University of South Florida
• Reference eBooks
  • Harder, D. W. and Richard Khoury. (2010) Numerical Analysis for Engineering. Canada: University of Waterloo
  • Van Wyk, Christopher J. (2005) “Using Spreadsheets to Learn Numerical Methods,” Spreadsheets in Education (eJSiE): Vol. 2: Iss. 1, Article 9
• Online Resources
  • USF Holistic Numerical Methods Website
  • California State University Fullerton Numerical Analysis Website
    • Animations
  • Cubic Splines:
    • Rauch, Steven and John Stockie (2008). “Cubic Splines,” Department of Mathematics, Simon Fraser University .
• Software
  • Numerical Computation
    • SciLab (tutorials) (Wiki)
      • A Short Introduction to Scilab
      • Getting Started with Scilab
      • http://wiki.scilab.org/Tutorials
      • Scilab page by Gilberto Urroz at Utah State Univ.
      • MAT113 Class Notes (Slides as .pdf / .odp / Handouts
  • Gnuplot portable command-line driven graphing utility

Posts:

MAT210

• MAT210 Exam Review
• MAT210 L27: Solving ODE: Boundary Value Problems
• MAT210 L26: Solving ODE: Runge-Kutta 2nd
• MAT210 Workshop July 8 & 9
• MAT210 Lesson 25-27: Solving ODEs
• MAT210 L25: Solving ODE: Euler
• MAT210 Lesson 21&22: Integration
• MAT210 L22: Integration: Romberg
• MAT210 L21: Integration
• MAT210 Workshop June 24 & 25