Colorado State University, Pueblo; Spring 2014
Math 109 — Mathematical Explorations
Course Schedule & Homework Assignments

Here is a link back to the course syllabus/policy page.

This schedule is will be changing very frequently, please check it at least every class day, and before starting work on any assignment (in case the content of the assignment has changed).

In the following all sections and page numbers refer to the required course textbook, Excursions in Modern Mathematics (7^th ed.), by Peter Tannenbaum.

If you see the image below, it means that class was videoed and you can get a link by e-mailing me. Note that if you know ahead of time that you will miss a class, you should tell me and I will be sure to video that day.

• T:
  • Read: Chapter 1, The Mathematics of Voting, §§1.1, 1.2, & 1.3
  • Content:
    1. preference schedule
    2. the Majority Criterion
    3. the Plurality Method
    4. the Condorcet Criterion
    5. the Borda count and the Borda Count Method
  • Do HW0: Send me e-mail (to jonathan.poritz@gmail.com) telling me:
    1. Your name.
    2. Your e-mail address. (Please give me one that you actually check fairly frequently, since I may use it to contact you during the term.)
    3. Your year/program/major at CSUP.
    4. The reason you are taking this course.
    5. What you intend to do after CSUP, in so far as you have an idea.
    6. Past math classes you've had.
    7. Other math and science classes you are taking this term, and others you intend to take in coming terms.
    8. Your favorite mathematical subject.
    9. Your favorite mathematical result/theorem/technique/example/problem.
    10. Anything else you think I should know (disabilities, employment or other things that take a lot of time, etc.)
    17. [Optional:] If you could meet one historical figure, who would you choose and why?
• $\Theta$:
  • Read [and Re-Read]: §§ 1.2, 1.3, 1.4, & 1.5
  • Content:
    1. the Monotonicity Criterion
    2. the Plurality-with-Elimination Method
    3. the Method of Pairwise Comparisons
• Friday is the last day to add classes.

• T:
  • Re-Read: §§ 1.1 - 1.5
  • Content:
    1. the Monotonicity Criterion
    2. the Plurality-with-Elimination Method
    3. the Independence-of-Irrelevant-Alternatives Criterion
    4. the Method of Pairwise Comparisons
• $\Theta$:
  • hand in HW1: Chapter 1, problems 12, 22, 34, 36, 58
  • Read: Chapter 5, The Mathematics of Getting Around, §§5.1 - 5.5
  • Content:
    1. motivation: planning routes to cover an entire city/neighborhood/whatever: Euler Circuit Problems
    2. a graph is edges and vertices — examples, such as social graphs, geographic graphs, ...
    3. more terminology for graphs:
       • adjacent vertices
       • degree of a vertex
       • even/odd vertex
       • path/circuit
       • length of a path
       • [dis]connected graph
       • components of a graph
       • bridge
       • Euler path/circuit
    4. Euler's Circuit Theorem
    5. Euler's Path Theorem

• T:
  • Read: Chapter 7, The Mathematics of Networks
  • hand in HW3: Chapter 6, problems 6, 14, 18, 30
• $\Theta$:
  • Read: Chapter 7
  • some review for Exam I, coming up on Tuesday; here is a review sheet.

• T:
  • Read: Chapter 13
• $\Theta$:
  • hand in HW5: Chapter 13, problems 42, 64, 66, 72
  • Read: Chapter 14, Descriptive Statistics

• T:
  • Read: Chapter 14
  • we will work on HW6: Chapter 14, problems 20, 26, 36, 42, 48, 56, 66, 69 (do not simply give the same answers as in the back of the book!), 70, in class; it should also be turned in today.
  • some review for Exam II ... which is coming up on Thursday; here is a review sheet.
• $\Theta$:
  • Exam II on Chapters 13 & 14

• T:
  • Read: Chapter 15
• $\Theta$:
  • hand in HW7: Chapter 15, problems 2, 10, 22, 34, 44, 50, 62, 78
  • Read: Chapter 16, The Mathematics of Normal Distributions

• T:
  • hand in HW8: Chapter 16, problems 4, 16, 26, 36, 58, 64
  • Read: Chapter 10, The Mathematics of Money
• $\Theta$:
  • Read: Chapter 10

• T:
  • hand in HW9a: Chapter 10, problems 4, 14, 26, 38, 42, 56, 60
  • some review for Exam III ... which is coming up on Thursday; here is a review sheet.
  • Read: Chapter 10
• $\Theta$:
  • hand in HW9b: Chapter 10, problems 70, 74, 80
  • Exam III on Chapters 10, 15, & 16

• T:
  • going over Exam III
• $\Theta$:
  • Review — bring problems: session to catch up on old HW

• Exam week, no classes.
• There is no special final exam review sheet, please simply look at the reviews for midterm 1, midterm 2, and midterm 3. This will be a comprehensive final, covering all parts of the course equally. Pretty much, you should think of the final as all the midterms stuck together, in both content and format, and then made shorter by a half.
• The exam takes place Wednesday, April 30th from 1-3:20pm in our usual classroom.