guided independent study

MATH 1100 Mathematics in Decision Making -- 3 hrs.
(800:023)

Course Details        Return to course list         Enrollment information

Course credit

3 credit hours

Course description

Selection of mathematical topics and their applications with an emphasis on mathematical reasoning. Topics include probability and statistics.

Delivery

web This course is available in an online format using eLearning, a Blackboard learning management system requiring Internet access and a web browser. While most students encounter very few technical difficulties, our team of support specialists is available to assist you as needed.

Prerequisites

none

Liberal Arts Core

LAC Students who plan to graduate from UNI must complete the Liberal Arts Core (LAC). This Guided Independent Study course is applicable to LAC Category 1. Core Competencies - C. Quantitative Techniques and Understanding. For details about your LAC, please discuss with your advisor and/or visit www.uni.edu/lac.

Instructor

Michael Prophet, Professor

Evaluation

8 assignments, 4 exams

Overview

Through this course we will see mathematics applied in a variety of settings - some of which will be quite familiar while others 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, statistics, social choice and finance.

The objective of this course is to further your development as a critical reader and logical thinker by considering settings in which mathematics is used to address challenges in business, social choice and consumer finance. Specifically, you will learn:

  • about Euler and Hamiltonian circuits and how these structures can help to solve specific routing problems
  • a technique to maximize a company's profit by adjusting production levels
  • how to display and describe data using histograms and various measurements of center and spread
  • what probability is, as well as basic concepts such as equally likely events, probability mean and the normal probability distribution
  • how to determine characteristics of a large population via sampling and details regarding the distribution of sampled data
  • a variety of methods for selecting a winner in an election involving three or more candidates and see drawbacks to each selection scheme; you will see how to exploit these drawbacks in order to change the outcome of an election
  • optimal strategies for competitions involving two opponents vying for a finite resource or prize
  • how to calculate interest earned on a fixed principle for a variety of interest-payment methods
  • how to calculate the effect of inflation on a fixed principle
  • how to calculate important elements of a conventional loan, including monthly payment and total interest paid.

Basic outline

Unit 1 - Management Science: Networks and Circuits

  • Assignment 1.1
  • Assignment 1.2
  • Exam I

Unit 2 - Statistics

  • Assignment 2.1
  • Assignment 2.2
  • Exam II

Unit 3 - Probability

  • Assignment 3.1
  • Assignment 3.2
  • Exam III

Unit 4 - Social Choice and Consumer Finance

  • Assignment 4.1
  • Assignment 4.2
  • Exam IV

Course organization

The course is organized into four units. After each unit there is an exam. Your exams are proctored; please review the "Exams Procedures" document found within your course materials. Please note for the exams you will be allowed to use one sheet of notes (handwritten on an 8.5 x 11 piece of paper).

Within each unit there are two assignments. Each assignment consists of readings from our text and problems from the exercises. Included in each assignment is a section of "Instructor's Comments'' - these are additional descriptions of the topics under discussion. You will probably find the comments most helpful after you have completed the corresponding reading assignment from the textbook.

Each assignment concludes with a quiz which will count towards your grade. The quizzes are based on the readings and exercises. When taking the quizzes you may use your book and notes.

Grading

Grades will be based on the percent of points accumulated out of the total. Please note that UNI Guided Independent Study requires that you complete all assignments and exams to pass the course.

The total points available are summarized below:

Assignment 1.1 = 10 points

Assignment 1.2 = 12 points

Exam 1 = 100 points

Assignment 2.1 = 10 points

Assignment 2.2 = 10 points

Exam 2 = 100 points

Assignment 3.1 = 10 points

Assignment 3.2 = 10 points

Exam 3 = 100 points

Assignment 4.1 = 14 points

Assignment 4.2 = 12 points

Exam 4 = 100 points

Total = 488 points

Textbook(s)

For All Practical Purposes. (8th Edition) by COMAP (W.H. Freeman publisher).

Texts are available from www.bookfinder.com

University Book and Supply carries most books used in guided independent study.
To search for textbooks by course, click on "Select a Campus Term" and select Univ.Northern Iowa - Guided Independent Study
Visit the store at 1009 West 23rd Street, Cedar Falls, IA 50613
Phone: 319-266-7581 or 800-728-7581
Fax: 319-277-1266
E-mail: bookstore@panthersupply.com

To enroll

ONLINE
GIS enrollment information

IN PERSON
UNI Continuing and Distance Education
2637 Hudson Road (corner of 27th St. and Hudson Rd.)
Cedar Falls, IA 50614-0223
Campus map (Look for Building 31)

For more information

Diane Tournier
Guided Independent Study
UNI Continuing and Distance Education
319-273-2123 or 800-772-1746
gis-program@uni.edu