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ENGS 100: Methods in Applied Mathematics I

Offered

12F, 13F: 11

Prerequisites

Either ENGS 92 or MATH 33 or MATH 43 with permission of instructor, or equivalent

Instructors

Epps

Textbooks

Fall 2012: see list

Identical to PHYS 100

Concepts and methods used in the treatment of linear equations with emphasis on matrix operations, differential equations, and eigenvalue problems will be developed following a brief review of analytic function theory. Topics include the Fourier integral, finite and infinite dimensional vector spaces, boundary value problems, eigenfunction expansions, Green's functions, transform techniques for partial differential equations, and series solution of ordinary differential equations. Properties and uses of orthogonal polynomials and special functions such as the hypergeometric, Bessel, Legendre, and gamma functions are included. Applications in engineering and physics are emphasized.