3. By the end of Week 3:
You would learn how to solve many problems involving lines/planes and manipulate with different coordinate systems.
These are just few examples:
Find the equation of a line that is the intersection of two
given planes.
Find the angle between two intersecting planes or the
distance between two parallel planes.
Find the distance between two parallel planes.

4. Quadric Surfaces:

6. Traces of Surfaces:

7. Rough Sketches using Traces:

9. Cylindrical Coordinates:
Constant Surfaces:

10. Spherical Coordinates:
Constant Surfaces:

11. Coordinate Conversion Exercises:

15. Equations of Surfaces in Cylindrical and Spherical Coordinates:

16. Exercises: