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Syllabus: Pre-requisite: MTH 102. Introduction to PDE, Linear, non-linear (semi-linear quasilinear) examples, Order of a PDE, Strum-Liouville boundary values problems: Introduction, examples, orthogonal functions, Strum-Liouville expansion, Fourier series and its convergence, Fourier series of arbitrary period, Sine and Cosine series. Linear Algebra. Vector spaces, linear transformations, matrices, systems of linear equations, bases, projections, rotations, determinants, and inner products. Applications may include differential equations, difference equations, least squares approximations, and models in economics and in biological and physical sciences. General multivariate model of parent-offspring resemblance in the presence of genotype-environment correlation, cultural transmission, and assortative mating 486 7. Course Syllabi. The syllabi for NetMath courses are listed below. Please note that more information about each course (tuition and fees, pre-requisites, policies, etc.) are listed in the individual course descriptions located under the Courses tab above.