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Organization, Regulations, and Courses 2023-24

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. Not open to students who have received credit for MATH 011.

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 MATH 13 is more appropriate.


The Staff, (Fall), Liu, Choi, Tyomkin (Winter), Shu, Chernov, Eikenberry (Spring)


MATH 8 or Math 9 or equivalent.

Degree Requirement Attributes


The Timetable of Class Meetings contains the most up-to-date information about a course. It includes not only the meeting time and instructor, but also its official distributive and/or world culture designation. This information supersedes any information you may see elsewhere, to include what may appear in this ORC/Catalog or on a department/program website. Note that course attributes may change term to term therefore those in effect are those (only) during the term in which you enroll in the course.


  • Fall
  • Spring
  • Winter