Mathematics in Decision Making

MATH 1100-01 Fall 2024

Syllabus

MATH 1100-01 Fall 2024

Syllabus

Dr. Michael Prophet

Office: WRT 320

Office Phone: 273-2104

Office: WRT 320

Office Phone: 273-2104

prophet@math.uni.edu

11-12:15pm T,TR; WRT 010

11-12:15pm T,TR; WRT 010

**Office Hours**
... and by appointment

**Introduction to this course**- In these modern times, it is easier than ever to disengage from
Decision Making. There are plenty of humans and robots ready (indeed
eager) to make decisions for us. And perhaps just as easy (and
unfortunate) are those times we find ourselves making decisions based on
very little information - the dreaded uninformed decision. Yet we are
called on to make important decisions all the time: at home, on
the factory floor, at the ballot box, in the corporate office and on the
sports field. How can we become more engaged, better informed decision
makers?

This course will give you experience with using mathematical tools and techniques that are “custom made” for gathering, organizing and utilizing information so that we become active, informed participants in the decisions that affect our lives. In short, this course provides a toolkit for Decision-Makers!

**Course Description**- Through this course we will see mathematics applied in a variety of
settings - some of which will be familiar while others completely new
and, perhaps, somewhat surprising. However, the common theme in all
applications will be the utility of mathematics in decision making.
Through the construction of mathematical models we will learn how
complex questions can be answered in the areas of management science and
data science.
**Course Learning Outcomes**- A student who successfully completes this course will be able to
- construct graphs using vertices and edges
- employ Euler and Hamiltonian circuits within graphs to solve traversal problems
- employ spanning trees to solve traversal problems
- execute specific algorithms to solve scheduling problems
- perform linear programming to solve optimization problems
- employ data techniques from data science to draw conclusions about population

**Responsibilities**- There are three central expectations I have of students in this
course.
- Students are responsible for the material covered in class. It
will often happen that we are unable to discuss in class every
aspect of a particular section. However, unless specifically
indicated, students remain responsible for the sections in their
entirety. Failure to attend class, even for a legitimate reason,
does not absolve any student from the responsibility of material
covered. If you miss a class, you should find out, as soon as
possible, what you missed from those who attended.
- It is expected that students read the textbook. The book is well
written and packed with information! There is a great deal of
detailed explanations and lots of examples that provide particularly
good guidance on solving problems. In addition to Skill Checks and
Exercises, you'll find a summary of Vocabulary terms at the end of
each chapter - and this is something you'll definitely want to take
advantage of, as vocabulary is a crucial part of this course.
- It is expected that students participate, in a meaningful way, to
the discussion and problem-solving effort we conduct during class.
Typically our class meetings will begin with me talking about the
reading you did the since our last time together. Then, as a group,
we will discuss the major points of the latest material and finally
work to solve exercises from our textbook. The goal is to get
several problems presented and solved on the board. To encourage
your participation, there will be
**EC Points**available (see below!).

- Students are responsible for the material covered in class. It
will often happen that we are unable to discuss in class every
aspect of a particular section. However, unless specifically
indicated, students remain responsible for the sections in their
entirety. Failure to attend class, even for a legitimate reason,
does not absolve any student from the responsibility of material
covered. If you miss a class, you should find out, as soon as
possible, what you missed from those who attended.
**Course Organization**- We will be using the (required) text For All Practical Purposes (11th
Edition) by COMAP (Macmillan publisher). The course is organized into 3
Units, with reading and homework Assignments within each Unit:

**Unit 1**: Management Science, part 1- Chapter 1: Urban Services
- Assignment 1 and Quiz 1
- Assignment 2 and Quiz 2

- Chapter 2: Business Efficiency
- Assignment 3
- Assignment 4 and Quiz 3

**Test 1**

- Chapter 1: Urban Services

**Unit 2**: Management Science, part 2- Chapter 3: Scheduling and Planning
- Assignment 5
- Assignment 6
- Assignment 7 and Quiz 4

- Chapter 4: Linear Programming
- Assignment 8 and Quiz 5
- Assignment 9(?)

**Test 2**

- Chapter 3: Scheduling and Planning

**Unit 3:**Science of Data- Chapter 5: Data Distributions
- Assignment 10
- Assignment 11 and Quiz 6
- Assignment 12 and Quiz 7
- Chapter 6: Data Relationships
- Assignment 13
- Assignment 14 and Quiz 8
- Chapter 7: Data for Decisions
- Assignment 15 and Quiz 9
**Test 3**

**Homework**- The listing of homework problems will be contained in our Assignments.
While it will not be collected, it is (obviously) very important that
you work through all assigned homework problems. Homework problems will
appear on our quizzes and quiz problems will appear on our exams.
**Quizzes**- After every one or two Assignments we will have an online quiz
accessed through our
*eLearning*site. The details for quiz taking are:- the quizzes are based on the readings and exercises
- you will have typically 45 minutes to complete each quiz
- you may use your book and notes while taking the quiz
- each quiz consists of 6-12 multiple-choice questions
- there are no make-up quizzes, as you will have multiple days during which the quiz can be taken
- the quizzes are graded and count toward your final grade as a 100 point contribution

**Exams**- There will be 3 in-class exams, with the third test occurring on our
Final Exam day/time.
*There will be no make-up exams.*Each exam must be taken on the scheduled day and time. A missed test is scored as a 0 without prior and proper justification from UNI Student Services or a medical office. The details for test-taking are:- you have 75 minutes to take each Exam
- each Exam has 15-25 questions
- the questions are multiple-choice and short-answer
- Exams are closed-book but
**you may bring 1 sheet of handwritten notes to each Exam** - each Exam is work 100 points
- Final Exam day/time is
**10:00 - 11:50 a.m. Thursday, December 19th**

**EC Points**- EC points are Extra Credit points awarded for Engaged Contributions to our class. By simply participating during our class time you can earn up to 21 EC points over the course of the semester. Of course your participation must make some relevant contribution to our discussion: ask a good question; provide a good answer; present a solution to a homework problem, etc..I will be the arbiter (decider) on what constitutes an Engaged Contribution.

**Blackboard Disclaimer**

- During the semester we will use Blackboard to access the textbook,
administer quizzes and record grades. But otherwise it is a "third
party" in terms of accomplishing the learning goals of this course. And
Blackboard does not determine your grade. Your final
grade is determined by the
**Grading Rubric**described below and based on this rubric, you should be able to, throughout the semester, estimate your current grade without the use of Blackboard.

**Grading Rubric**

- There are 400 points available, distributed like this:
3 Exams 300 points Quizzes 100 points Your final grade is determined by the percent of total points you earn out of the 400 points possible. Any extra credit points earned are simply added to your total points. Final grades will be assigned according to the standard scale:

100%-90% A 89%-80% B 79%-70% C 69%-50% D