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:**preference schedule*- the
*Majority Criterion* - the
*Plurality Method* - the
*Condorcet Criterion* - the
*Borda count*and the*Borda Count Method*

- Do
**HW0:***Send me e-mail*(to`jonathan.poritz@gmail.com`)*telling me*:- Your name.
- 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.)
- Your year/program/major at CSUP.
- The reason you are taking this course.
- What you intend to do after CSUP, in so far as you have an idea.
- Past math classes you've had.
- Other math and science classes you are taking this term, and others you intend to take in coming terms.
- Your favorite mathematical subject.
- Your favorite mathematical result/theorem/technique/example/problem.
- Anything else you think I should know (disabilities, employment
or other things that take a lot of time,
*etc.*) - [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:*- the
*Monotonicity Criterion* - the
*Plurality-with-Elimination Method* - the
*Method of Pairwise Comparisons*

- the

**Friday is the last day to add classes.**

*T:***Re-Read:**§§ 1.1 - 1.5*Content:*- the
*Monotonicity Criterion* - the
*Plurality-with-Elimination Method* - the
*Independence-of-Irrelevant-Alternatives Criterion* - the
*Method of Pairwise Comparisons*

- the

*$\Theta$:*- hand in
**HW1:**Chapter 1, problems 12, 22, 34, 36, 58 **Read:**Chapter 5, The Mathematics of Getting Around, §§5.1 - 5.5*Content:*- motivation: planning routes to cover an entire
city/neighborhood/whatever:
*Euler Circuit Problems* - a
*graph*is*edges*and*vertices*— examples, such as social graphs, geographic graphs, ... - 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*

*Euler's Circuit Theorem**Euler's Path Theorem*

- motivation: planning routes to cover an entire
city/neighborhood/whatever:

- hand in

**Monday is the last day to drop classes without a grade being recorded.***T:***[Re]Read:**§ 5.6 & Chapter 6, The Mathematics of Touring*Content:**Fleury's Algorithm*

*$\Theta$:***Read:**Chapter 6- hand in
**HW2:**Chapter 5, problems 2, 10, 18, 24, 60

*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:*- hand in
**HW4:**Chapter 7, problems 6, 12, 20, 28, 46 **Exam I**on Chapters 1, 5, 6, & 7

- hand in
*$\Theta$:***Read:**Chapter 13, Collecting Statistical Data

*T:***Read:**Chapter 13

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

- hand in

*T:***Read:**Chapter 14

*$\Theta$:***Read:**Chapter 14

*T:**$\Theta$:***Exam II**on Chapters 13 & 14

*T:***Read:**Chapter 15, Chances, Probabilities, and Odds

*$\Theta$:***Read:**Chapter 15

**Friday is the last day to withdraw (with a***W*) from classes

*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

- hand in

**Spring Break!**No classes, of course.

*T:***Read:**Chapter 16

*$\Theta$:***Read:**Chapter 16

*T:*- hand in
**HW8:**Chapter 16, problems 4, 16, 26, 36, 58, 64 **Read:**Chapter 10, The Mathematics of Money

- hand in
*$\Theta$:***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

- hand in
*$\Theta$:*- hand in
**HW9b:**Chapter 10, problems 70, 74, 80 **Exam III**on Chapters 10, 15, & 16

- hand in

*T:*- going over
**Exam III**

- going over
*$\Theta$:*- 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.