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Math 108 Topics in Mathematics | Section 1000 | James Baglama | **Chapter 1**

Reading Assignment |
Video |
Lecture Notes |

1.1 Euler Circuits pages 5 - 8 |
Section 1.1 Video |
Section 1.1 Lecture notes |

1.2 Finding Euler Circuits pages 9 - 13 |
Section 1.2 Video |
Section 1.2 Lecture notes |

1.3 Beyond Euler Circuits pages 13 - 19 |
Section 1.3 Video |
Section 1.3 Lecture notes |

- The quiz for Chapter 1 will only be available from 12:00am May 21 - 11:55pm May 25 .
- The quiz will consist of 10 multiple choice questions.
- You will have a maximum of two hours to complete the quiz.
- You will be allow two tries. The computer will only accept the last score. If you are happy with your score on the first try, do not try again. I cannot change your grade back.
- Failure to take a quiz in the given time slot will be given a zero. No exceptions!

- Chapter 1

pages 25-29 Problems 4, 8, 14abc, 30, 34, 40

Due by 11:55 pm Friday May 25. Use the Assignments tool to submit homework. - I am only collecting the even problems. Do a similar odd problem and all of the Skill Check problems to make sure you understand the concepts. The answers to the odd problems and the Skill Check problems are in the back of the book!!
- I will NOT accept homework with answers only.

- Go to the companion website and navigate to the applet
exercises.
- Click on the Euler Circuit applet and follow the directions.
- Click on the Eulerizing a Graph applet and follow the directions.

- In the companion website navigate to Video Clips and click on Euler circuits

- If you were making a recommendation to the mayor of Providence concerning proposed new street-sweeping routes, designed using the theory of this chapter, would you recommend that the changes be adopted or not? List a few pros and cons. Does a grid of two-way streets always have a Eulerian solution? What effect would one way streets have on the problem of street sweeping? What effect would multiple sweeper trucks used have on the problem? Suppose that each night, one sweeper followed a Eulerian circuit on the street grid. Would there always be an Eulerian circuit left to sweep every night until all the sweeping is done?

- Discussion for Chapter 1 will open at 12:00 am Monday May 21.
- You are required to participate in the discussion boards.
- Discussion topic will end at 11:55 pm Friday May 25.
- See the syllabus on the grading rubric for discussions.

__Contact:__

Texting hours 9am - 8pm

(401) 268-7160

Email: jbaglama@math.uri.edu

__Office hour:__

By appointment only or

Via BigBlueButton

The required textbook,
"For All Practical Purposes", 9^{th} edition by COMAP,
Publisher W.H. Freeman. Do NOT use an older edition. All students
must have either a phyiscal copy of the textbook or an
ebook.Click
on the textbook above to go to the ebook.

The required textbook,
The textbook "For All Practical Purposes", 9^{th} edition by COMAP,Publisher W.H. Freeman
has a campanion website. The campanion website contains a lot helpful material,e.g. Java Applets, falshcards, practice quizzes.
The site can be accessed via the link
Campanion or click
on the picture above to go to the campanion website.

Math 108 Topics in Mathematics | James Baglama | jbaglama@math.uri.edu | University of Rhode Island.