Prof. Tim Davis, P.O. Box 116120 University of Florida Gainesville, FL 32611-6120 phone (352) 392-1481, fax (352) 392-1220 email: my last name at cise.ufl.edu or DrTimothyAldenDavis at gmail.com

Topics to be covered on the midterm:

• Lecture notes on intro and chapters 1 to 3
• Chapter 1: Scientific Computing
  • 1.1 Introduction: all
  • 1.2 Approximations in Scientific Computation: all
  • 1.3 Computer Arithmetic: all
  • 1.4 Mathematical Software: skip
  • 1.5 Historical Notes and Further Reading skip
• Chapter 2: Systems of Linear Equations
  • 2.1 Linear Systems: all
  • 2.2 Existence and Uniqueness: all
  • 2.3 Sensitivity and Conditioning: all
  • 2.4 Solving Linear Systems: mostly all, but skip Heath's use of elementary elimination matrices in 2.4.3 and 2.4.4. DO read my lecture notes, on the block matrix derivations, of course. Skip 2.4.8, 2.4.9,
  • 2.5 Special Types of Linear Systems: all but 2.5.2 and 2.5.3
  • 2.6 Iterative Methods for Linear Systems: skip
  • 2.7 Software for Linear Systems: skip
  • 2.8 Historical Notes and Further Reading: skip
• Chapter 3: Linear Least Squares
  • 3.1 Linear Least Squares Problems: all
  • 3.2 Existence and Uniqueness: all
  • 3.3 Sensitivity and Conditioning: skip
  • 3.4 Problem Transformations all
  • 3.5 Orthogonalization Methods just 3.5.1.
  • 3.6 Singular Value Decomposition: skip
  • 3.7 Comparison of Methods: all
  • 3.8 Software for Linear Least Squares: skip
  • 3.9 Historical Notes and Further Reading : skip