Sep 29, 2020  
Undergraduate Academic Catalog 2017 - 2018 
Undergraduate Academic Catalog 2017 - 2018 [ARCHIVED CATALOG]

MATH 415 - Advanced Applied Mathematics

Recommended prior course: MATH 365   This two-part class covers the basics of vector calculus in part I, and an introduction to calculus of variations in part II. Part I will include line integrals, the fundamental theorem of line integrals, forms of Green’s Theorem, surface area and surface integrals, and the theorems of Gauss and Stokes. Part II will cover the concepts of functionals, various representations of the Euler-Lagrange Equation, numerical techniques including weighted residuals, optimizing functional expressions with constraints, and applications to dynamics, structure of materials, geodesics and quantum mechanics.
Prerequisites: MATH 230