1. MAT 1236 Calculus III Section 10.1 Curves Defined by Parametric equations http://myhome.spu.edu/lauw

2. Homework WebAssign 10.1 (9 problems, 45 min.)

3. Preview Limitations of Cartesian Equations on describing curves Parametric Equations

4. Example 1

5. We to do if we only want part of the circle?

6. Example 2

7. Example 3

8. Example 4

9. Definition

10. Example 1

11. Example 2

12. Example 2 (Terminology)

13. Example 3

14. Example 4

15. Interesting Property The parametric representation of a curve is not unique.

16. Example 5a

18. Example 5b

20. Example 5c

22. Conversion We can convert a parametric equation into the corresponding Cartesian equation by eliminating the parameter. Pay attention to the range of the parameter. There are no general “formula” to do this. Below are two examples.

23. Example 6 What is the domain of the function?

24. Example 7 What is the domain of the function?