![]() Parametric Equations, Polar Coordinates, and Vector-Valued Functions-Defining and differentiation parametric equations, finding second derivatives of parametric equations, finding arc lengths of parametric equations, defining and differentiating and integrating vector-valued functions, solving motion problems using parametric and vector-valued functions, defining polar coordinates, differentiating polar functions, finding the area of regions bounded by a single polar curves or two polar curves.Applications of Integration-Finding the average value of a function, connecting position, velocity, and acceleration using integrals, applying accumulation functions, finding area between curves of functions, finding volumes from cross-sections and revolutions, and finding arc length.Differential Equations-Modeling situations with differential equations, verifying solutions for differential equations, sketching slope fields, approximating using Euler’s Method, and using separation of variables.Integration and Accumulation of Change-Finding accumulations of change, Reimann sums, and definite integrals, understanding the Fundamental Theorem of Calculus, interpreting accumulation functions, finding anti-derivatives and indefinite integrals, and integrating using substitutions, long division, completing the square, integration by parts, linear partial fractions, and improper integrals. ![]()
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