# Quantitative Reasoning and Problem Solving

## Math 141

Final: on Friday 12/15, 12:25 - 2:25 pm in B239 Van Vleck.

Topics: the exam will be mildly cumulative with most of the questions on Chapters 7, 8, 13 in the text and on Voting, but there will some questions on earlier material.

Practice exam

Lecturer:   Gabriele Meyer
Office:        720 Van Vleck Hall
Tel:            (608)-262-3745
email:         meyer at math dot wisc dot edu
Office hours: MW 1:10 - 2:40 pm.

Office         Hall
Tel:
email:         at math dot wisc dot edu
Office hours: pm.

For quick help outside of office hours, please, go to the Mathlab.

Lectures:

 Lecture 1 MWF  9:55 - 10:45 am Soc Sci 6203

Text:      For All Practical Purposes, tenth edition by the Consortium for Mathematics and its Applications, W.H. Freeman and Co. You may want to consider purchasing the e-book for about \$60 net (Tech support at: 1-800-936-6899, Monday - Friday, 9:00 a.m. - 3:00 a.m., EST).
You will need a scientific calculator like TI 30 X IIs, with some statistical functions, including correlation.

Syllabus and Homeworks

Catalog Statement:
Quantitative reasoning for students who need to satisfy part A of the Quantitative Reasoning requirement and prepare for QR-B courses.
Math 141 does *not* prepare for any further course in the Math Dept. Please, contact your academic advisor, if you have questions about whether this course is for you.

Prerequisite:
satisfactory placement scores.

Brief Description:
This course introduces a wide variety of topics that show the tremendous impact of math on everyday life. One should not shy away from this, but try to tackle it. Here are some sample problems:

-    how to organize mail deliveries without retracing steps if possible
-    a clothing manufacturer has 60 yards of cloth out of which she makes shirts and vests. A shirt requires 3 yards and give a profit of \$5, a vest requires 2 yards and yields a profit of \$3. How many shirts and vests should she make to maximize her profit?
-    what kinds of curves do you you get when you plot the scores of student exams? what properties set them apart?
-    how are phenomena related? doing homework with or without background music, here we argue about data
-    how to conduct polls? sampling
-    what is the probability of winning  x \$ in the lottery?
-    how do we determine the winner in an election? Is that fair?
-    how do we best save for a future goal? A look at investing.
-    borrowing and paying off credit card debt, loans. We will deal with budgets, taxes and learn how to use spreadsheets.

Surprizingly enough there are mathematical models that can apply to each of these situations and they don't involve calculus, for us anyway.
This course aims to give you a basic introduction to many of these mathematical models. At the end of the class, you should be able to apply them to problems very similar to the ones given in the homeworks, but with different numbers.
There will be a significant number of homework problems and you are encouraged to work in groups.
A quiz will consist of several problems from the current homework set and it will be given on line. You may take it at any time/place in a given time window. So in order to do well on the quizzes you will need to do the homeworks.

 Quizzes (about 10) 20 Midterm 1 22 Midterm 2 23 Final 35 Extra Credit 5 Total 100

Note: even though we work in groups, each student is expected to be able to do ALL assigned problems.

***** You are required to attend the final exam. *****

Available Help:

Lecturer's office hours