1. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Section 9.2: Contour Diagrams Section 9.2 Contour Diagrams

2. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Predicted High Temperature as a function of latitude and longitude What are the predicted high temperatures in Boise, Buffalo, Topeka, and Goshen? 71, 78, 85, 80 Where do temperatures vary most rapidly? Southern California

3. Elevation as a function of latitude and longitude What is the elevation at point A? 5250 feet above sea level What is the elevation at point B? 5450 feet above sea level Where might this be in the US? Montana Is it steeper near A or B? A If you were hiking along the dashed trail from the top to bottom of the map, would you be going up or down? Up most of the way

4. http://themacklins.net/blog.php?userid=Paul&postid=11 Housing Prices in Houston Where are the least expensive houses located? Around the left- bottom-right edges What do the most expensive houses cost? More than $400,000.

5. Earthquake Risk http://www.mgs.md.gov/esic/brochures/earthquake.html

6. Tornadoes in Texas http://web2.airmail.net/danb1/tornado.htm

7. BMI

8. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Contours/Level Curves

9. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Example

10. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved.

11. Estimate f (1, 3) and f (4, 5) f (1, 3) ≈ 73. f (4, 5) ≈ 56 Example

12. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Example: Visualizing Draw a contour plot with at least 4 distinct contours.

13. Example: Steepness

14. Example: Interpreting

16. Up next… Thursday: Lab 03 Friday: 9.2 HW due, Double Quiz: Find functions from table data and functions of 2 variables, Review for Exam 1 Sunday: evening office hours?? Monday: Exam 1