1. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Section 5.1: Distance and Accumulated Change Section 5.1 Distance and Accumulated Change

2. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Suppose a car is moving with increasing velocity and suppose we measure the car's velocity every two seconds, obtaining the data in Table 5.1: Table 5.1 (compa-car) on pg 236 How far did has the car traveled at most? How far has the car traveled at least? Suppose a car is moving with increasing velocity and suppose we measure the car's velocity every two seconds, obtaining the data in Table 5.1: How far has the car traveled at most? How far has the car traveled at least?

3. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. fig 5.2 page 238 Figure 5.2

4. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. How do we improve our estimate?

5. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Figures 5.3 Figure 5.3

6. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Figures 5.4 Figure 5.4

7. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Figures 5.5 Figure 5.5

8. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Figures 5.6 Figure 5.6

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

10. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Instructor’s manual section 5.1 Example on Land Management with tables 5.1.2 and 5.1.3 (continued on next slide) NNNNcNNNNc Example

11. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Instructor’s manual section 5.1 Example on Land Management with tables 5.1.2 and 5.1.3 (continued on next slide)

12. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Section 5.2: The Definite Integral Section 5.2 The Definite Integral

13. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. figures 5.14 and 5.15 and box and page 245 Figure 5.14Figure 5.15

14. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. figures 5.14 and 5.15 and box and page 245

15. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Problem 5

16. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Problem 7

17. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Section 5.3: The Definite Integral as Area Section 5.3 The Definite Integral as Area

18. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. box pg 249 and figures 5.26 and 5.27 Figure 5.25Figure 5.26

19. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Example from Instructor’s manual in section 5.3 with figure 5.3.1. Only state the problem, not the solution

20. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Section 5.4: Interpretations of the Definite Integral Section 5.4 Interpretations of The Definite Integral

21. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. first box from page 255 together with first example in Instructor’s Manual 5.4 Example

22. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. second box from page 255 together with second example in Instructor’s Manual 5.4 Example

23. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. Section 5.5: The Fundamental Theorem of Calculus Section 5.4 The Fundamental Theorem of Calculus

24. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. box on page 262 and problem 13

25. Applied Calculus, 3/E by Deborah Hughes-Hallet Copyright 2006 by John Wiley & Sons. All rights reserved. box on page 264 and problem 7