Mathematics 13 - Calculus of Vector-Valued Functions

Institution:

Dartmouth College

Subject:

Description:

08F: 11 09W: 2 09S: 12 09F, 10W, 10S: Arrange This course is a sequel to Mathematics 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.Prerequisite: Mathematics 8 or equivalent. Note: First-year students who have received two terms on the BC exam generally should take Mathematics 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 Mathematics 13 is more appropriate. Dist: QDS. Gordon (fall), Orellana (winter), an Heuf (spring).

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.dartmouth.edu

Phone Number:

(603) 646-1110

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Quarter

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