![]() Many important problems in a wide range of disciplines within computer science and throughout science are solved using techniques from linear algebra. MATH 116 Applications of Mathematics to Management, Life and Social Sciences April 2008 PREPARED BY: J. MATH 2107, 2108 and 2 credits of general electives fulfills the requirement. Topics include studying the real number system including operations, exponents, absolute value, and the number line simplifying algebraic expressions solving linear equations and inequalities, and applying these concepts to geometric and algebraic formulas and exploring linear equations in two variables including slope. This course will introduce students to some of the most widely used algorithms and illustrate how they are actually used. syllabus will document the amount of in-class (or other direct faculty. 4 credits Builds an understanding of the language of mathematics. Some specific topics: the solution of systems of linear equations by Gaussian elimination, dimension of a linear space, inner product, cross product, change of basis, affine and rigid motions, eigenvalues and eigenvectors, diagonalization of both symmetric and non-symmetric matrices, quadratic polynomials, and least squares optimazation. Mathematics tutoring is free of charge to any student enrolled in an SOU. ![]() The ideas and tools provided by this course will be useful to students who intend to tackle higher level courses in digital signal processing, computer vision, robotics, and computer graphics.Īpplications will include the use of matrix computations to computer graphics, use of the discrete Fourier transform and related techniques in digital signal processing, the analysis of systems of linear differential equations, and singular value deompositions with application to a principal component analysis. SOU mathematics placement test to assure placement at the appropriate level. Mathematics 4800 will open with a review of the basics of real analysis (brief or extended background requires). The review will include: introduction of the real numbers through Dedekind cuts, continuity of real-valued functions on the real line Cantor nested-interval principle, basic results for continuous functions, Maximum and Intermediate Value theorems, Heine-Borel Theorem, Uniform Continuity on closed intervals metric spaces, convergence of sequences, Cauchy sequences, completeness, more general uniform continuity and intermediate value theorems general topology, separation, compactness, product spaces, Tychonoff's Theorem. ![]()
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