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Polar Coordinates and Parametric Curves. Analytic Geometry and the Conic Sections. Polar Coordinates. Area Computations in Polar Coordinates. Parametric Curves. Integral Computations with Parametric Curves. Conic Sections and Applications. Infinite Sequences. Infinite Series and Convergence.

Taylor Series and Taylor Polynomials. The Integral Test. Comparison Tests for Positive-Term Series. Alternating Series and Absolute Convergence.

Power Series. Power Series Computations. Series Solutions of Differential Equations. Vectors in the Plane.

Three-Dimensional Vectors. The Cross Product of Vectors. Lines and Planes in Space. Curves and Motions in Space. Curvature and Acceleration. Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates. Functions of Several Variables. Limits and Continuity. Partial Derivatives.

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