Mathematics Underground
Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly applied mathematics accessible to undergraduates, from the pr...
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| Published in | PRIMUS : problems, resources, and issues in mathematics undergraduate studies Vol. 22; no. 7; pp. 564 - 576 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Philadelphia
Taylor & Francis Group
01.10.2012
Taylor & Francis, Ltd Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1051-1970 1935-4053 |
| DOI | 10.1080/10511970.2012.659333 |
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| Abstract | Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly applied mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This article shows four examples of increasing complexity which illustrate the possible uses of the subject in creating examples for different courses. |
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| AbstractList | Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly applied mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This article shows four examples of increasing complexity which illustrate the possible uses of the subject in creating examples for different courses. Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly applied mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This article shows four examples of increasing complexity which illustrate the possible uses of the subject in creating examples for different courses. [PUBLICATION ABSTRACT] Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate mathematics. However, this subject is full of interesting and meaningful examples of truly "applied" mathematics accessible to undergraduates, from the pre-calculus to advanced mathematics levels. This article shows four examples of increasing complexity which illustrate the possible uses of the subject in creating examples for different courses. (Contains 5 figures.) |
| Audience | Higher Education |
| Author | Luther, Kenneth H. |
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| Cites_doi | 10.1016/S0022-1694(02)00319-0 10.1063/1.2743123 |
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| DOI | 10.1080/10511970.2012.659333 |
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| References | CIT0001 Kellog O. D. (CIT0006) 1953 McDonald M. G. (CIT0008) 1988 Haitjema H. M. (CIT0004) 1995 Bakker M. (CIT0002) 2003; 271 Nunn R. H. (CIT0009) 1989 Lin Hsin-ChiJ. (CIT0005) 1997 Office of Groundwater Protection (CIT0010) 1987 Luther K. H. (CIT0007) 1998 Bear J. (CIT0003) 1979 Risch M. R. (CIT0011) 1990 Strack O. D. L. (CIT0012) 1989 |
| References_xml | – volume-title: Foundations of Potential Theory year: 1953 ident: CIT0006 – volume-title: Groundwater Mechanics year: 1989 ident: CIT0012 – volume-title: FEMWATER: A Three-Dimensional Finite Element Computer Model For Simulating Density-Dependent Flow And Transport In Variably Saturated Media year: 1997 ident: CIT0005 – volume-title: Analytic solutions to three-dimensional unconfined groundwater flow near wells year: 1998 ident: CIT0007 – volume-title: Guidelines for delineation of wellhead protection areas year: 1987 ident: CIT0010 – volume-title: Analytic Element Modeling of Groundwater Flow year: 1995 ident: CIT0004 – volume-title: Hydraulics of Groundwater year: 1979 ident: CIT0003 – volume-title: A Modular Three-Dimensional Finite-Difference Ground-Water Flow Model year: 1988 ident: CIT0008 – volume: 271 start-page: 119 year: 2003 ident: CIT0002 publication-title: Journal of Hydrology doi: 10.1016/S0022-1694(02)00319-0 – ident: CIT0001 doi: 10.1063/1.2743123 – volume-title: Use of borehole and surface geophysics to investigate ground-water quality near a road-deicing salt-storage facility, Valparaiso, Indiana year: 1990 ident: CIT0011 – volume-title: Intermediate Fluid Mechanics year: 1989 ident: CIT0009 |
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| SubjectTerms | Accessibility analytic element method Applied mathematics boundary value problems Calculus College Mathematics Complexity Geohydrology Geology Ground-water flow Groundwater flow groundwater flow modeling Intersections mathematical examples Mathematical Models Mathematics Instruction potential functions Teaching Methods Undergraduate Study Underground Water |
| Title | Mathematics Underground |
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