CPSC 491


CPSC 491: Techiques for Numerical Computation

Jon George Rokne

Winter 2022

The purpose of this course is to introduce the key concepts and principles of scientific and numerical computation.

Two attentive students of Scientific Computing


Calendar entry


Elementary techniques for the numerical solution of mathematical problems on a computer,
including methods for solving linear and non-linear equations, numerical integration, and interpolation.
Course Hours: H(3-2T)
Prerequisite(s): One of Computer Science 319 or 331,
one of Mathematics 211 or 213,
and one of Mathematics 249, 251, 265, 275, 281, or Applied Mathematics 217.
Antirequisite(s): Not open to students with credit in Applied Mathematics 491 or 493.

CPSC 491 OUTLINE

  1. The students will be presented with an introduction to scientific computing methodologies. They will acquire basic knowledge of errors in numerical computations. They will gain a basic understanding of computer arithmetic.
  2. The students will acquire a basic understanding of linear equations in n dimensions and be able to assess the existence and uniqueness of solutions. They will become familiar with the standard direct elimination methods for linear equations.
  3. The students will understand what is meant by stability and conditioning of linear equations and how these concepts affect how linear equations are solved.
  4. The students will know how to solve linear least squares problems in one and more dimensions. They will know how to assess existence and uniqueness of linear least squares problems.
  5. The students will become familiar with eigenvalue and eigenvector problems for linear equations. They will be able to compute eigenvalues and eigenvectors of systems of equations using standard tools.

OTHER MATERIAL


Stuff below under construction.

Supplementary Material

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