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MTH 243: Calculus III
4 credits
Multivariable calculus, partial derivatives, multiple integrals, introduction to vector analysis. Infinite series.Learn the calculus of vector-valued functions. Differentiate and integrate parametrically defined functions with interpretations of velocity, acceleration, arclength and curvature. Perform iterated, double, triple and surface integrals with change of coordinates. Use vector fields, line integrals, Green’s theorem, curl and divergence, and Stokes’ theorem.
Learning Goals
Students shall: learn the properties of vectors in two and three dimensions express equations and functions in polar, cylindrical and spherical coordinates be able to find velocity, acceleration, arc length and curvature of vectorvaluedfunctions in two and three dimensions be able to evaluate partial derivatives and multiple integrals be able to evaluate line and surface integrals be able to find velocity, acceleration, arc length and curvature in two and threedimensions be able to apply the techniques of vector analysis to vector fields
*The learning goals displayed here are those for one section of this
course as offered in a recent semester, and are provided for the purpose of
information only. The exact learning goals for each course section in a
specific semester will be stated on the syllabus distributed at the start
of the semester, and may differ in wording and emphasis from those shown
here.