MATH283

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Calculus III

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Objective

Demonstrate the ability to analyze and visualize curves, surfaces, and regions in 2 and 3 dimensions, in Cartesian, polar, cylindrical, and spherical coordinate systems.

Objective

Perform calculus operations on vector-valued functions including limits, derivatives, integrals, curvature, and the description of motion in space.

Objective

Perform calculus operations on functions of several variables including limits, partial derivatives, directional derivatives, and multiple integrals.

Objective

Find and classify extrema and tangent planes of functions of two variables.

Objective

Apply the Fundamental Theorem of Line Integrals to simplify integration problems.

Objective

Apply the computational and conceptual principles of calculus to the solutions of various scientific functions.