Transformations, multiple integrals, line and surface integrals, infinite sequences and series, and improper integrals. Introduction to the problems of numerical analysis emphasizing computational procedures and application. Topics include sources of error and conditioning, matrix methods, systems of linear equations, nonlinear equations, interpolation and approximation by splines, poly-nominals, and trigonometric functions. Integration, differentiation, functions of several real variables, implicit function theory. Attention is focused on mathematical areas in which nonroutine problems can be posed with comparative ease.
Emphasis is on independent study and student use of previously acquired mathematical skills.
Open to students only by invitation for not more than three hours credit. Independent research, conducted under the supervision and guidance of a faculty member for students enrolled in Departmental Honors Program. May be repeated once for a maximum of six credits.