This briskly paced course can be viewed as equivalent toMATH 13in terms of prerequisites, but is designed especially for first-year students who have successfully completed a BC calculus curriculum in secondary school. In particular, as part of its syllabus it includes most of the multivariable calculus material present inMATH 8together with the material fromMATH 13. Topics include vector geometry, equations of lines and planes, and space curves (velocity, acceleration, arclength), limits and continuity, partial derivatives, tangent planes and differentials, the Chain Rule, directional derivatives and applications, and optimization problems. It continues with multiple integration, vector fields, line integrals, and finishes with a study of Green's and Stokes' theorem.Students who have successfully completed a BC calculus curriculum in secondary school may complete multivariable calculus either by taking the two term sequenceMATH 9andMATH 13or by completing the single, faster-paced,MATH 11.
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