Course Description

Applied Mathematics 213b Linear Algebra II

Vector space examples. Inner products, orthogonal sets including Legendre polynomials, trigonometric functions, wavelets. Projections, least squares, normal equations, Fourier approximations. Eigenvalue problems, diagonalization, defective matrices. Coupled difference and differential equations; applications such as predator-prey, business competition, coupled oscillators. Singular value decomposition, image approximations. Linear transformations, graphics.

Prerequisite: Applied Mathematics 026 or Calculus 051a/b or 081a/b and a minimum mark of 60% in Linear Algebra 040a/b or Applied Mathematics 025a/b or the former Applied Mathematics 214a/b or the former Applied Mathematics 212a.

3 lecture hours, half course.

Academic Calendar