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In this course, students examine convergences tests for series; equations and parameterizations of lines, curves, planes, and surfaces; first- and higher-order partial derivatives of scalar- and vector- valued functions; directional derivatives and gradients; linear approximations; optimization of multivariable functions; double integrals in rectangular and polar coordinates; and triple integrals in rectangular and spherical coordinates. Through their course work, students learn the use of multivariable and vector calculus in applications.