Tulane University 2006-2007 Catalog
Course:
MATH 681, 682 Applied Mathematics I and II (3, 3)
Staff. Prerequisites: MATH 305, 309, 347, and 406. Formulating mathematical models. Introduction to differential equations and integral equations. Fourier series and transforms, Laplace transforms. Generating functions. Dimensional analysis and scaling. Regular and singular perturbations. Asymptotic expansions. Boundary layers. The calculus of variations and optimization theory. Similarity solutions. Difference equations. Stability and bifurcation. Introduction to probability and statistics, and applications.
Note: Mathematics 651, 652, 655, 656, 661, 662, 665, 666, 671, 672, 675, 676, 681, 682 are the same as courses of the same title offered in the Graduate School. These courses are particularly recommended for students planning to do graduate work in mathematics.
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