M248 Course Information

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• Proposed Course Schedule
  
  
• Syllabus
  
  
• Burruss 030 & 130 Access Forms
  
  
• Brief Background and Overview of Numerical Analysis, Computing, and Fortran (material for first day)
  
  
• Main Computer Components and Vocabulary (overheads for day 2)
  
  
• Interesting Lahey Fortran links, including F90 vs. C++ & floating point perils
  
  
• overheads for day 7
  
  
• overheads for day 8
  
  
• basic Boolean algebra and logic gates
  
  
• overheads for day 9
  
  
• overheads for day 10
  
  
• Reading day 11
  
  
• Top 10 Job Skills 2002 from Monster.com
  
  
• Some Binary Addition Practice
  
  
• basic gates
  
  
• Nice Site found by Daniel Kvitko for floating point practice
  
  
• Nice Site visually demonstrating large and small numbers
  
  
• Two disasters caused by computer arithmetic errors
  
  
• Example of why accuracy is important and stability
  
  
• Maple file: catastrophic cancellation
  
  
• Important Calculus Results
  
  
• Graphical display of fixed point method 1
  
  
• Graphical display of fixed point method 2
  
  
• Maple File that goes with fixed point site in display 2 (Note this is a Maple Worksheet)
  
  
• Fix Point & Newton Method Proofs
  
  
• Newton Method Quadratic Convergence
  
  
• Example 1 of Newton Method Quadratic Convergence (word file)
  
  
• Example 2 of Newton Method Quadratic Convergence and Keys (Maple file)
  
  
• Bisection Method, Assignments for Thurs. March 17, 2005
  
  
• Peter Lax wins Abel Prize
  
  
• Maple file: Taylor Poly vs. Interpolating Poly vs. Splines
  
  
• Maple file: In-class Lagrange interpolating poly and remainder example
  
  
• Maple file related to ANA p. 301, Exercise 13
  
  
• Constrast 2pt, 3pt, and 5pt Differentation Algorithms (Note this is a Maple Worksheet)
  
  
• Numerical Differentiation Formulas and Errors (2pt, 3pt, 5pt)
  
  
• Numerical Integration Approximation Visualizations (Note this is a Maple Worksheet)
  
  
• Numerical Integration Motivation: Celestial Motion and Road Construction
  
  
• Naive Gaussian Elimination Fortran Program
  
  
• Gauss Elimination Scaled Partial Pivoting Fortran Program
  
  
• Marshall Space Flight Center Fluid System Simulation (Powerpoint)
  
  

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