1. © 2006 Baylor University Slide 1 Fundamentals of Engineering Analysis EGR 1302 Unit 4, Lecture A Approximate Running Time is 22 Minutes Distance Learning / Online Instructional Presentation Presented by Department of Mechanical Engineering Baylor University Procedures: 1.Select “Slide Show” with the menu: Slide Show|View Show (F5 key), and hit “Enter” 2.You will hear “CHIMES” at the completion of the audio portion of each slide; hit the “Enter” key, or the “Page Down” key, or “Left Click” 3.You may exit the slide show at any time with the “Esc” key; and you may select and replay any slide, by navigating with the “Page Up/Down” keys, and then hitting “Shift+F5”.

2. © 2006 Baylor University Slide 2 Unit 4 - Discrete Mathematics  Set Theory  Applications for Determining Probabilities  Process Evaluation  Sets, and Logic

3. © 2006 Baylor University Slide 3 Set Definitions & Notation  A Set is a group of things that share a common rule. Decimal Number set Binary Number set

4. © 2006 Baylor University Slide 4 Rules for Sets  A Set can be Finite  A Set can have an Infinite number of Elements  “Universal” Set Concept No Zero

5. © 2006 Baylor University Slide 5 General Set Notation a Finite Set an Infinite Set a “Closed Infinite Interval”

6. © 2006 Baylor University Slide 6 More Rules for Sets an Infinite Set

7. © 2006 Baylor University Slide 7 Set Mathematics  Sets are Equal - if all Elements are the same Subset: A is “Contained” in B - A is a “Proper” Subset  the “Null” Set also called the “Empty” set

8. © 2006 Baylor University Slide 8 UNION of Sets All of A, OR All of B, OR Both “OR” A OR B 0 1 2 3 4

9. © 2006 Baylor University Slide 9 INTERSECTION of Sets A “intersect” B Only Elements in A AND B both at the same time 0 1 2 3 4 “AND”

10. © 2006 Baylor University Slide 10 INTERSECTION of Sets Sets C and B are “Disjoint”

11. © 2006 Baylor University Slide 11 COMPLEMENT of Sets “NOT” is also a Boolean Operator

12. © 2006 Baylor University Slide 12 Summary of Set Notation

13. © 2006 Baylor University Slide 13 This concludes Unit 4, Lecture A