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This course introduces students to linear algebra and ordinary differential equations by way of their scientific usage. It serves as a gateway to more advance mathematical methods that are commonly used in contemporary scientific studies and their literature. We will learn how to take a mathematical approach to various scientific problems, solve the resulting equations, and interpret the mathematical solution in the original context. Topics include matrix algebra, eigenvalues and eigenvectors, vector-valued functions, linear and non-linear systems of differential equations, and phase portraits. The scientific topics include age-structured population growth, Richardson's theory of war, and infectious disease modeling. Click here for Course Information. |