Parametric Equations and Polar Coordinates
In this part we come across at parametric equations and polar coordinates. When the two subjects don't come out to have that much in common on the surface we will see that various of the topics in polar coordinates can be completed in terms of parametric equations and thus in that sense they make a good match in this section We will as well be looking at how to do many of the standard calculus topics like tangents and area in terms of parametric equations and polar coordinates.
Here is a listing of topics that we'll be covering in this section.
1. Parametric Equations and Curves
2. Tangents with Parametric Equations - this is used to finding tangent lines to parametric curves.
3. Area with Parametric Equations - This is used to finding the area under a parametric curve.
4. Arc Length with Parametric Equations - Finding out the length of a parametric curve.
5. Surface Area with Parametric Equations - in this we will determine the surface area of a solid acquired by rotating a parametric curve about an axis.
6. Polar Coordinates
7. Tangents with Polar Coordinates - This is used to finding tangent lines of polar curves.
8. Area with Polar Coordinates - This is used to finding the area enclosed by a polar curve.
9. Arc Length with Polar Coordinates - finding out the length of a polar curve.
10 .Surface Area along with Polar Coordinates - Here we will determine the surface area of a solid obtained by rotating a polar curve about an axis.
11. Arc Length and Surface Area Revisited