1. Civil Engineering
What is it?

2. Definition of Engineering
“the profession in which a knowledge of the mathematical and natural sciences gained by study, experience, and practice is applied with judgement, to develop ways to utilize, economically, the materials and forces of nature for the benefit of mankind”
The Accreditation Board for Engineering and Technology

3. Huh?
What do you think this means?

4. Engineering Involves:
Problem definition and problem solving
Developing devices, processes, structures and systems
Applying knowledge of science and math
Physics, chemistry, material behavior
Integral Calculus, differential equations, statistic

5. What is a Civil Engineer?
Improves quality of life through the provision of infrastructure
-Buildings, bridges and other structures
Highways
Dams and levees
Water treatment plants, waste disposal
Safety, functionality, elegance and economy of product and process

6. Roles of Civil Engineers
Research
Development
Design
Production and Testing
Construction
Operations
Sales
Management
Consulting
Teaching

7. Distance Formula

8. Find the distance between A(5,2) and B(3,12)
Example:
Find the distance between A(5,2) and B(3,12)

9. Your turn! Find the distance between these points: C(1,4) D(3,2)
Q(-4,4) R(7,-2)
X(-3,-4) Y(8,5)

10. Answers:

11. Try this one from a graph!

12. Answer:

13. Our Engineering Problem!
We have been hired by the great state of Nebraska to design a road that will connect Huskerville and Big Red City. Both Huskerville and Big Red City are towns right on the Platte River that during game day are very popular. Thus, we want a road that connects the two.

14. Requirements
You want the shortest road possible, yet stay under budget.
Bridges cost $10 million/mile to build
Roads over land cost $1 million/mile to build

15. Specifications:
Huskerville is miles to the North and miles to the west of Big Red City

16. For example:
If I decided to put the bridge to the point (8,0) I would have to figure these two distances then multiply them buy their costs.

17. Bridge Calculations From (0,12.35) to (8,0)
Cost =  10 = million dollars

18. Road Calculations Distance from (8,0) to (23.84,0) is
= miles
Cost=  1 = million dollars

19. Total Cost and Distance:
Total Cost = Bridge cost + Road Cost
Total Cost = = $ million dollars
Total Distance = = miles

20. Conclusion: We are under our budget.
Can we make a shorter road that costs a little more, but still under $185 million?
In teams of two, you try. There is a prize for the winner!!!