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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

On Sign-Solvable Linear Systems And Their Applications In Economics, Eric Hanson Aug 2014

On Sign-Solvable Linear Systems And Their Applications In Economics, Eric Hanson

Journal of Undergraduate Research at Minnesota State University, Mankato

Sign-solvable linear systems are part of a branch of mathematics called qualitative matrix theory. Qualitative matrix theory is a development of matrix theory based on the sign (¡; 0; +) of the entries of a matrix. Sign-solvable linear systems are useful in analyzing situations in which quantitative data is unknown or had to measure, but qualitative information is known. These situations arise frequently in a variety of disciplines outside of mathematics, including economics and biology. The applications of sign-solvable linear systems in economics are documented and the development of new examples is formalized mathematically. Additionally, recent mathematical developments about sign-solvable …


The Efficacy Of Mathematics Education, Eric Geimer Feb 2014

The Efficacy Of Mathematics Education, Eric Geimer

The STEAM Journal

Evidence supports the notion that mathematics education in the United States is inadequate. There is also evidence that mathematics education deficiencies extend internationally. The worldwide mathematics education deficit appears large enough that improving student performance in this educational problem area could yield great economic benefit. To improve the efficacy of mathematics education, education’s root problems must first be understood. Often supposed educational root problems are considered and contrasted against potential deficiencies of mathematics methodologies and curricula that are based on mainstream educational philosophies. The educational philosophies utilized to form early-grade mathematics methodologies and related curricula are judged to be the …


Cracking The Code On Stem: A People Strategy For Nevada's Economy, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni Jan 2014

Cracking The Code On Stem: A People Strategy For Nevada's Economy, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni

Brookings Mountain West Publications

Nevada has in place a plausible economic diversification strategy—and it’s beginning to work. Now, the state and its regions need to craft a people strategy. Specifically, the state needs to boost the number of Nevadans who possess at least some postsecondary training in the fields of science, technology, engineering, or math—the so-called “STEM” disciplines (to which some leaders add arts and design to make it “STEAM”).

The moment is urgent—and only heightened by the projected worker needs of Tesla Motors’ planned “gigafactory” for lithium-ion batteries in Storey County.

Even before the recent Tesla commitment, a number of the more high-tech …


Cracking The Code On Stem: A People Strategy For Nevada's Economy Executive Summary, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni Jan 2014

Cracking The Code On Stem: A People Strategy For Nevada's Economy Executive Summary, Jessica A. Lee, Mark Muro, Jonathan Rothwell, Scott Andes, Siddharth Kulkarni

Brookings Mountain West Publications

Nevada has in place a plausible economic diversification strategy—and it’s beginning to work. Now, the state and its regions need to craft a people strategy. Specifically, the state needs to boost the number of Nevadans who possess at least some postsecondary training in the fields of science, technology, engineering, or math—the so-called “STEM” disciplines (to which some leaders add arts and design to make it “STEAM”).

The moment is urgent—and only heightened by the projected worker needs of Tesla Motors’ planned “gigafactory” for lithium-ion batteries in Storey County.

Even before the recent Tesla commitment, a number of the more high-tech …


A Bayesian Model Of Fertility Decisions In Relationship To Female Labor Force Participation, Rebecca C. Wardrop Jan 2014

A Bayesian Model Of Fertility Decisions In Relationship To Female Labor Force Participation, Rebecca C. Wardrop

Senior Independent Study Theses

Due to the increasing number of women in the labor force, opportunity costs associated with labor force participation are becoming an important factor in fertility decisions. Further, these decisions are assumed to be dynamic as the opportunity costs change as a woman progresses through her career. A Bayesian statistical model , which allows the distribution of the likelihood of having children to be updated as information is gathered, lends itself to the dynamicity of the decision-making process. A generalized model for fertility decisions in terms of labor force participation is created. I also discuss potentials for implementation and furthering the …