MATH 6820 Applied Mathematics II

MATH 6820 Applied Mathematics II
Applied Mathematics II
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.
Notes: Mathematics 6510, 6520, 6550, 6560, 6610, 6620, 6650, 6660, 6710, 6720, 6750, 6760, 6810, 6820 are particularly recommended for students planning to do graduate work in mathematics.
Pre-requistites: MATH 3050, 3090, 3470, and 4060.
credit hours: 3