We will be studying the mathematics of phenomena that depend linearly on several parameters. As a first example, to develop geometric intuition, we consider linear transformations of vectors in the plane. We then study systems of linear equations, which motivate the study of matrix equations and matrix decompositions. We also investigate a variety of applications. Finally we will study abstract vector spaces and inner product spaces.
Supplemental Course Notes
Weekly written homework, consisting of practice problems and mathematical arguments, typically due in class on Monday and returned within the week. See assigned homework problems.
Group project for Nov 18
Each student will study a topic independently, explain their findings to the group in a 7-10 minute presentation, and discuss their findings in a written paper.
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