## Workshop In Mathematical Modeling

Workshop in Mathematical Modeling

Instructors: Joseph Malkevitch & Stuart Weinberg

MSTM 5035 3 Credits July 2, 3, 5, & 6, 2012 9:30am-4:00pm

Instructors: Joseph Malkevitch & Stuart Weinberg

MSTM 5035 3 Credits July 2, 3, 5, & 6, 2012 9:30am-4:00pm

Workshop Description

This workshop addresses mathematical modeling questions that arise from a .

consideration of fairness issues in such fields as economics, psychology, political sci-ence, business, operations research, and everyday life. Specific examples involve fair division, elections and voting, apportionment,

resource allocation, and bankruptcy.

The mathematics involves algebra, geometry, combinatorics, graph theory, and other topics from discrete and continuous mathematics. Whenever possible, ties will be made to the Common Core State Standards (CCSS-M) and its call for the inclusion of modeling in mathematics curricula.

Some of the situations that will be modeled:

This workshop addresses mathematical modeling questions that arise from a .

consideration of fairness issues in such fields as economics, psychology, political sci-ence, business, operations research, and everyday life. Specific examples involve fair division, elections and voting, apportionment,

resource allocation, and bankruptcy.

The mathematics involves algebra, geometry, combinatorics, graph theory, and other topics from discrete and continuous mathematics. Whenever possible, ties will be made to the Common Core State Standards (CCSS-M) and its call for the inclusion of modeling in mathematics curricula.

Some of the situations that will be modeled:

- How do we apportion the 435 members of the House of Representatives to different states?
- How do we divide an estate in a fair and envy-free way?
- How do we allocate limited monies to settle claims following a flood?
- How might three municipalities with different populations share the cost of
- constructing a water treatment plant?