Chapter 9: Polar Coordinates and Parametric Equations
Upon successful completion of Chapter 9, the student should be able to:
- Sketch graphs of polar equations, convert rectangular equations to polar equations, and convert polar equations to rectangular equations.
- Use derivatives and integrals to calculate slopes, rates of change and areas in polar coordinates.
- Describe conic sections as loci of points, and apply reflection properties of conics in physical and geometric contexts.
- Classify conic sections by their eccentricity and describe conics in terms of polar coordinates.
- Sketch graphs of parametric equations in two-dimensions, and extract information from parametric equations and their graphs.
- Use parametric equations to model linear, rotational and other motion.
- Use derivatives and integrals to calculate direction (slope, angle), speed and distance measured along a curve.
