MATH 2R03, Winter 2019
LINEAR ALGEBRA II
Linear algebra is a core subject in mathematics and makes its appearance in many diverse places such as multivariate calculus, differential equations and quantum mechanics. This course is a continuation of Math 1B3 which will focus on real and complex vector spaces, inner product spaces and key spectral theorems which are building blocks for many of the uses of linear algebra. In order to highlight the power of the techniques, a number of applications will be considered such as Fourier series, signal processing and conic sections.
Abstract vector spaces. Linear transformations. Inner product spaces. Spectral theorems. Orthogonal bases, other topics.
Three lectures, one tutorial; one term
Prerequisite(s): One of MATH 1AA3, 1LT3, 1NN3, 1XX3, 1ZB3, ARTSSCI 1D06 A/B, ISCI 1A24 A/B; and one of MATH 1B03, 1ZC3, 1ZZ5
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