Q.  Why should (a) engineers, (b) physicists, (c) mathematicians take Math 701?

A.  Math 701 occupies a prominent  and natural role in the  engineering arts,  in physics,  in mathematics, etc.

      (a)  In the engineering arts optimization processes on infinite dimensional parameter spaces and their
             finite dimensional approximations,  open new conceptual vistas which would remain inaccessible
             within the framework of finite-dimensional calculus.

      (b)  In physics Math 701 furnishes, among others, very powerful extremum principles. By cutting across
             diverse aspects of nature, these principles allow, for example,  a grasp of classical and wave mechanics
             from a single perspective and with respect to any coordinate frame.

      (c)  For mathematics Math 701 provides a natural  connecting link between  theoretical mathematics 
            (e.g. global analysis, differential geometry, etc.) and its foundational roots in applied mathematics
            (e.g. classical and wave mechanics, covariant differentiation, etc.)