Math 164 / CS 144 - Scientific Computing: Spring 1999

Professor: L.G. de Pillis
MW 2:45 - 4:00 p.m.
Olin 145

• Topics:

  Computational techniques applied to problems in science and engineering. Modeling of physical problems, computer implementation, analysis of results; use of mathematical software; numerical methods.

• Recommended Texts:

  None of the texts listed is required for the course. All the texts listed are on four-hour reserve at Sprague Library.

  • Numerical Methods and Software, by D. Kahaner, C. Moler and S. Nash.
  • Scientific Computing and Differential Equations: An Introduction to Numerical Methods, by G. Golub and J. Ortega.
  • Schaum's Outline of Theory and Problems of Programming with Fortran 77, by William E. Mayo and Martin Cwiakala.
  • FORTRAN 77 for Engineers and Scientists, by Larry Nyhoff and Sanford Leestma.
• Prerequisites:

  Math 73, Math 82, CS 60 or programming experience, and a broad science background.

• Course Outline:
  1. Introduction to mathematical modeling and Matlab
  2. Error analysis for differential equations
  3. Modeling with linear systems for economics
  4. Analysis for solving linear systems and eigenvalue problems
  5. Modeling with ordinary differential equations for multiple applications
  6. Parallel computing with MPI
  7. Modeling with partial differential equations for multiple applications
• Homework and Grading:

  Grading will be based entirely on several programming and writing projects, in class presentations, and a couple of shorter assignements. Detailed requirements of these projects will be discussed in class. No exams are currently planned. Some work will be done in teams, other work is to be done individually.

  There will be some guest lectures. Attendance at these lectures is required. Attendance at and participation in regular lectures is not required but will be a deciding factor in borderline grades.

  The grader this semester is Neil Burrell.

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