This course is concerned with the understanding and application of linear algebra. We will discuss linear systems of equations, Gaussian elimination, inverse matrices, determinants and their properties, linear spaces, linear independence, bases, eigenvalues and eigenvectors, inner products, etc. The importance of the techniques discussed in computational and applied mathematics will be emphasized.

This course is concerned with the understanding and application of algorithms for scientific computing. Topics discussed include computer arithmetic, the solution of linear systems of equations, the solution of overdetermined systems by the least-squares method, the singular value decomposition, approximation and interpolation, curve fitting, numerical integration, eigenvalue problems, as well as the solution of nonlinear systems of equation. Numerous illustrations of how the numerical methods discussed work in practice will be provided. Several projects that require the development of software for scientific computing will be assigned. The programming langauge MATLAB will be taught and most of the computations will be carried out in Matlab or Octave.