Assessment Methods for Course Learning Goals.Triple Integrals in Cylindrical and Spherical Coordinates.Applications of Extrema of Functions of Two Variables.Extrema of Functions of Several Variables.Derivatives and Integrals of Vector-Valued Functions.Planned Sequence of Topics and/or Learning Activities.evaluate line and surface integrals, find work done in a vector field, use Green's Theorem, Stokes' Theorem, and the Divergence Theorem to evaluate integrals.evaluate multiple integrals in rectangular, polar, cylindrical and spherical coordinates, and use multiple integrals to find areas, volumes, centers of mass, and surface areas and.find partial derivatives of functions of several variables, find directional derivatives and gradients, find tangent planes, and use Lagrange multipliers to find extrema.use vector-valued functions to parameterize curves and describe motion in space, find unit tangent and normal vectors, find tangential and normal components of acceleration, and find arc length and curvature.Topics for this course include: vectors and solid analytic geometry, surfaces, partial and directional derivatives, Lagrange multipliers, multiple integrals, cylindrical and spherical coordinates, line and surface integrals, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. This course is a continuation of Math 141. Number of Instructional MinutesĪt least 4 hours of testing are given.
Academics - Courses + Programs - Master Course Outlines MATH242 Calculus III Department of Science, Technology, Engineering & Mathematics: Mathematics I.
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