Introduction: The information and materials presented here are intended to provide a description of the course goals for current and prospective students as well as others who are interested in our courses. It is not intended to replace the instructional policies and course materials presented in class.Every effort is made to update this information on a routine basis. However, if you have questions about enrollment, purchasing materials, and prerequisite skills, please check with your advisor or instructor.
Additional Course Description:
How can I save time delivering an advertisement to all houses in a development?
How does mathematics assist in developing a plan to schedule priorities in a hospital emergency room? How can statistics be used to describe the variation in income among college graduates?
How can mathematics assist in planning election strategy?
This course is designed to help answer these questions (and others) and prepare students in non-technical majors for their college work, for their careers, and for the challenges of life in general. Its goal is to help students understand the mathematical skills and concepts used in a variety of topics and issues, from a variety of social science fields. The course will provide some basic mathematical strategies to analyze issues encountered in everyday life.
The course consists of three modules:
Management Science: Techniques to model complex activities and determine optimal solutions through analysis of various models (Chapters 1, 2, 3)
Statistics: Descriptive and inferential statistics with real world applications, and probability to link descriptive and inferential (Chapters 5-8)
Social Choice and Decision Making: Mathematical methods for decision making, weighted voting systems (Chapters 9, 11)
Course goals are:
- To apply the scientific method to investigate real-world phenomena
- To construct, read and interpret graphs and other displays of data
- To read, interpret and communicate information using appropriate mathematical language
- To appropriately use technology to solve mathematical problems.
The following list illustrates the topics intended for coverage in a typical semester. Your instructor may cover these topics in a different order or may add topics if necessary.
- Management Science
- Basic Concepts
- Euler Circuits
- Eulerization and Squeezing
- Hamiltonian Circuit
- Counting Problems
- Traveling Salesman Problems
- Trees and Spanning Trees
- Scheduling using the list-processing algorithm
- Independent tasks and other issues
- Bin packing
- Coloring Problems and Conflict Resolution
- Mean and Median Quartiles, the Five-Number
- Summary, and Boxplots
- Standard Deviation
- Normal Distribution and the 68-95-99.7 Rule
- Bad Sampling
- Random Samples
- Cautions about Sample Surveys
- Thinking about Experiments
- Confidence Intervals
- Probability Models
- Discret Probability Models
- Equally Likely Outcomes
- Continuous Probability Models
- Mean and Standard Deviation of a Probablility Model
- Central Limit Theorem
- Social Choice and Decision Making
- Other Voting Systems for Three or More Candidates
- Approval Voting
- How Weighted Voting Works
- Shapley-Shubic Power Index
- Banzhaf Power Index
- Comparing Voting Systems
Current Syllabus: Spring 2008 Syllabus+
Required Math Placement Test Level: G
Additional Prerequisite Discussion: In order to succeed in this course, students must have some basic arithmetic skills. For instance, students should know how to work with fractions and percents.
Textbooks: The following are the textbooks typically used in this course. Other University of Delaware campuses may use different textbooks. Students should wait until the first day of class to ensure the appropriate textbook and other course materials are purchased.
Consortium for Mathematics and its Applications (COMAP), For All Practical Purposes: Mathematical Literacy in Today's World, 8th edition.
Calculator Requirement: A calculator is required. You will need a calculator with basic arithmetic operations, and exponential (exp) and logarithm (log) functions. Also, it must be able to determine mean, median, and standard deviation on a data set. Older graphing calculators such as the TI-81 would be sufficient. Graphing calculators such as the TI-83 or TI-83 plus are optional.
Fall/Spring semester: This course is offered in fall and spring semesters. In most cases, the course meets three hours per week in either a MWF or Tues./Thur. course format. Course enrollments are usually at most 30 students per class with some very small classes (less than 20).
Assessment activities generally include tests, quizzes, group and individual work and projects. The number of exams can vary but generally three common exams and a final exam are administered. Common exams may be administered during the evenings and the final exam is cumulative. An example can be found in the sample or current syllabus.
Math Tutorial Site: Located in 053 McKinly Lab, this site provides free drop-in tutorial assistance for students enrolled in this course. It is staffed by qualified math and math education majors. Students are encouraged to use this resource to get assistance on mathematical questions. More information about the Math Tutorial Site can be found at the webpage: Tutorial Lab
Academic Enrichment Center: Located at 148-150 South College Avenue, this site provides a number of different course resources for students. Please visit their web site for more information: http://ae.udel.edu/
Satellite Campus Information: Students enrolled at other campuses should contact the math faculty for the specific campus for additional information about this course.
Carla C. Morris - cmorris [at] udel [dot] edu
Nancy S. Hall - nhall [at] udel [dot] edu
Norman Passmore - passmore [at] udel [dot] edu
John Anderson - jandersn [at] udel [dot] edu
William Boyer - 06127 [at] udel [dot] edu