II Math 315


Document Type

Course Change

Publication Date

Fall 2009


Updated 18 April 2008 1 KEENE STATE COLLEGE 2008-2009 COURSE PROPOSAL FORM DATE OF SUBMISSION: February 26, 2009 SPONSORING PROGRAM AND CHAIR: MATHEMATICS MIKE CULLINANE 8-2505 MCULLINA@KEENE.EDU PROPOSAL SPONSOR: MATHEMATICS VINCE FERLINI 8-2575 VFERLINI@KEENE.EDU PROPOSED ACTION: Underline or boldface proposed changes. Course Addition Number Change Title Change Credit Change Description Change Prerequisite Change Course Deletion Course Replacement Other: Conversion of the current MATH 315 TO IIMATH 315 for inclusion in the Integrative Studies Program. CURRENT COURSE NUMBER, TITLE and DESCRIPTION: MATH 315 CONTEMPORARY MATHEMATICS An introduction to mathematics that affects political, sociological and economic situations in modern society. Topics such as voting systems, fairness conditions, power indices, fair division methods and their applications, apportionment methods, Euler and Hamilton circuits and their applications, networks, scheduling, elementary game theory. Prerequisite: IQL-101. Spring. PROPOSED COURSE NUMBER and/or TITLE: IIMATH 315 MATHEMATICS AND SOCIAL INSTITUTIONS Short title: MATH & SOCIAL INSTITUTIONS Updated 18 April 2008 2 PROPOSED COURSE DESCRIPTION: An interdisciplinary introduction to the mathematical tools used in political science, sociology, economics, and business management. Topics include the analysis of fairness in voting systems and apportionment from a historical point of view, scheduling and networking problems using Euler and Hamilton circuits and elementary cryptographic methods. Prerequisite: 24 credits in ISP, including ITW 101 and IQL 101. Spring. LEARNING OUTCOMES: Course Outcomes Students will be able to: • use and analyze various types of voting systems; • use and analyze fair-division methods; • analyze apportionment methods as applied to government; • apply basic graph theory concepts and terminology to problem situations that arise in a variety of disciplines; • analyze strategies for games that result in success; • apply aspects of game theory to areas such as economics and political science. Interdisciplinary Outcome Students will be able to: • analyze the assumptions and actions of society from multiple perspectives. Integrative Outcome Social and Environmental Engagement: Students will be able to: • identify elements of social and/or environmental structures: individual, group, and system. Skills Outcomes Critical Thinking: Students will be able to: • formulate questions that are relevant to a task, problem, or goal; Creative Thinking: Students will be able to: • use multiple models or representations of ideas; • confront questions with multiple answers; Quantitative Reasoning: Students will be able to: Updated 18 April 2008 3 • develop appropriate quantitative problem solving strategies and apply them to real-world phenomena. RATIONALE: Mathematics has developed over the years in part by mathematicians considering questions of practical importance from other disciplines. Understanding many of those applications requires a mathematical background that most college students do not possess. This course presents an array of topics from political science, history, economics and business management. The advantage here is that the tools do not require an extensive mathematical background but in this course, students do develop the analytical skills that mathematicians commonly use to solve problems. RESOURCES: No additional staffing is necessary as the proposal simply ensures that an existing course addresses appropriate outcomes of the integrative Studies Program so that it can become an Interdisciplinary offering in that program. For the same reasons, no additional library resources will be required. ADVISORY OPINIONS: None


Senate Curriculum Committee




Keene State College

II Math 315