MATH 13 Calculus of Vector-Valued Functions
This course is a sequel to MATH 8 and provides an introduction to calculus of vector-valued functions. Topics include differentiation and integration of parametrically defined functions with interpretations of velocity, acceleration, arclength and curvature. Other topics include iterated, double, triple and surface integrals including change of coordinates. The remainder of the course is devoted to vector fields, line integrals, Green's theorem, curl and divergence, and Stokes' theorem.
InstructorPantone (fall), Muetzel, Ratti, van Erp (winter), Clare, Song (spring)
or equivalent. Note: First-year students who have received two terms on the BC exam generally should take MATH 11
instead. On the other hand, if the student has had substantial exposure to multivariable techniques, they are encouraged to take a placement exam during orientation week to determine if placement into MATH 13
is more appropriate.
Distributive and/or World Culture
Offered16F: 11, 17W: 10, 11, 2, 17S: 10, 12, 17F, 18W, 18S: Arrange