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...

Full description

Saved in:
Bibliographic Details
Published inPRIMUS : problems, resources, and issues in mathematics undergraduate studies Vol. 22; no. 7; pp. 564 - 576
Main Author Luther, Kenneth H.
Format Journal Article
LanguageEnglish
Published Philadelphia Taylor & Francis Group 01.10.2012
Taylor & Francis, Ltd
Taylor & Francis Ltd
Subjects
Online AccessGet full text
ISSN1051-1970
1935-4053
DOI10.1080/10511970.2012.659333

Cover

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.
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.
Author_xml – sequence: 1
  givenname: Kenneth H.
  surname: Luther
  fullname: Luther, Kenneth H.
  email: ken.luther@valpo.edu
BackLink http://eric.ed.gov/ERICWebPortal/detail?accno=EJ988255$$DView record in ERIC
BookMark eNqFkD1PwzAQhi1UJNrCzNIBiYUl5fwZhwWhqnypiIXOluM4kCq1i50K9d_jKsDAANOddM97d3pGaOC8swhNMEwxSLjEwDEucpgSwGQqeEEpPUBDXFCeMeB0kPqEZHvmCI1iXAEA41IM0emT7t7sWneNiWdLV9nwGvzWVcfosNZttCdfdYyWt_OX2X22eL57mN0sMkOBdRnXkhqZzkEFVNbC8lIyQTSQClhRgqxIIcoKW-C5MNpIW0ItGaWGkbrMCzpGF_3eTfDvWxs7tW6isW2rnfXbqLDIMScsxyKh57_Qld8Gl75TmEiaM0KETNSkp2xojNqEZq3DTs0fCykJ52nM-rEJPsZg6x8Eg9rLVN8y1V6m6mWm2NWvmGm6JM27Luim_S983YcbV_uw1h8-tJXq9K71oQ7amSYq-ueGTwxvihk
CitedBy_id crossref_primary_10_1080_10511970_2023_2261175
Cites_doi 10.1016/S0022-1694(02)00319-0
10.1063/1.2743123
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 2012
Copyright Taylor & Francis Ltd. 2012
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 2012
– notice: Copyright Taylor & Francis Ltd. 2012
DBID AAYXX
CITATION
7SW
BJH
BNH
BNI
BNJ
BNO
ERI
PET
REK
WWN
0-V
3V.
7SC
7TB
7XB
88B
88I
8AF
8AL
8AO
8FD
8FE
8FG
8FK
ABJCF
ABUWG
AFKRA
AHOVV
ALSLI
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
CJNVE
DWQXO
FR3
GNUQQ
HCIFZ
JQ2
K7-
KR7
L6V
L7M
L~C
L~D
M0N
M0P
M2P
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQEDU
PQEST
PQGLB
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
S0X
DOI 10.1080/10511970.2012.659333
DatabaseName CrossRef
ERIC
ERIC (Ovid)
ERIC
ERIC
ERIC (Legacy Platform)
ERIC( SilverPlatter )
ERIC
ERIC PlusText (Legacy Platform)
Education Resources Information Center (ERIC)
ERIC
ProQuest Social Sciences Premium Collection
ProQuest Central (Corporate)
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
ProQuest Central (purchase pre-March 2016)
Education Database (Alumni Edition)
Science Database (Alumni Edition)
STEM Database
Computing Database (Alumni Edition)
ProQuest Pharma Collection
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Education Research Index
Social Science Premium Collection
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials
ProQuest Central
ProQuest Technology Collection
ProQuest One Community College
Education Collection
ProQuest Central
Engineering Research Database
ProQuest Central Student
SciTech Premium
ProQuest Computer Science Collection
Computer Science Database
Civil Engineering Abstracts
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
Computing Database
Education Database
Science Database (Proquest)
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic
ProQuest One Academic Middle East (New)
ProQuest One Education
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
ProQuest Central Basic
SIRS Editorial
DatabaseTitle CrossRef
ERIC
ProQuest One Education
Computer Science Database
ProQuest Central Student
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
ProQuest AP Science
SciTech Premium Collection
ProQuest Central China
ProQuest One Applied & Life Sciences
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Social Science Premium Collection
Engineering Database
Education Collection
ProQuest Science Journals (Alumni Edition)
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest Social Sciences Premium Collection
ProQuest One Academic UKI Edition
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
SIRS Editorial
ProQuest Central (Alumni Edition)
ProQuest One Community College
ProQuest Pharma Collection
ProQuest Central
ProQuest Engineering Collection
ProQuest Central Korea
Advanced Technologies Database with Aerospace
Civil Engineering Abstracts
ProQuest Computing
ProQuest Central Basic
ProQuest Education Journals
ProQuest Science Journals
ProQuest Computing (Alumni Edition)
ProQuest SciTech Collection
Computer and Information Systems Abstracts Professional
Advanced Technologies & Aerospace Database
Materials Science & Engineering Collection
ProQuest Education Journals (Alumni Edition)
ProQuest Central (Alumni)
DatabaseTitleList
Civil Engineering Abstracts
ProQuest One Education
ERIC
Database_xml – sequence: 1
  dbid: ERI
  name: ERIC
  url: https://eric.ed.gov/
  sourceTypes: Index Database
– sequence: 2
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Education
Mathematics
Geology
EISSN 1935-4053
ERIC EJ988255
EndPage 576
ExternalDocumentID 2882005701
EJ988255
10_1080_10511970_2012_659333
659333
Genre Feature
GroupedDBID -DZ
-ET
.7F
.QJ
0-V
0BK
0R~
123
29O
30N
4.4
5VS
88I
8AF
8AO
8FE
8FG
8FW
8R4
8R5
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABIVO
ABJCF
ABLIJ
ABPAQ
ABPEM
ABTAI
ABUWG
ABXUL
ABXYU
ACGFS
ACGOD
ACIWK
ACTIO
ADCVX
ADGTB
ADXHL
AEISY
AEOZL
AEPSL
AEYOC
AFKRA
AFKVX
AFRVT
AGDLA
AGMYJ
AHDZW
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
ALSLI
AQRUH
AQTUD
ARALO
ARAPS
AVBZW
AWYRJ
AZQEC
BENPR
BGLVJ
BLEHA
BPHCQ
CCCUG
CCPQU
CE4
CJNVE
CS3
DGEBU
DKSSO
DWQXO
E3Z
EBS
EJD
E~A
E~B
GNUQQ
GTTXZ
H13
HCIFZ
HF~
HZ~
H~P
IPNFZ
J.P
K6V
K7-
KYCEM
L6V
M0P
M2P
M2Q
M4Z
M7S
NA5
NY~
O9-
P2P
P62
PHGZM
PHGZT
PQEDU
PQGLB
PQQKQ
PROAC
PTHSS
Q2X
RIG
RNANH
ROSJB
RTWRZ
RWL
RXW
S-T
S0X
SNACF
TAE
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TTHFI
TUROJ
TWF
UT5
UU3
WH7
YR2
YYP
ZGOLN
~S~
07G
AAIKQ
AAKBW
AAYXX
ACAGQ
ACGEE
ACTCW
AEUMN
AFFDN
AGCQS
AGLEN
AGROQ
AHMOU
ALCKM
AMEWO
AMXXU
BCCOT
BES
BPLKW
C06
CAG
CITATION
COF
CRFIH
DMQIW
DWIFK
IVXBP
LJTGL
NUSFT
OHT
PUEGO
QCRFL
TAQ
TFMCV
TOXWX
UB9
UKR
V3K
V4Q
YYQ
7SW
BJH
BNH
BNI
BNJ
BNO
ERI
PET
REK
WWN
3V.
7SC
7TB
7XB
8AL
8FD
8FK
AHOVV
FR3
JQ2
KR7
L7M
L~C
L~D
M0N
PKEHL
PQEST
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-c304t-5a83c83330d038f6e5b8462a02d049b08d296bd1e0576cac8eb0f8433c42fb793
IEDL.DBID BENPR
ISSN 1051-1970
IngestDate Fri Sep 05 10:36:18 EDT 2025
Tue Oct 21 00:15:23 EDT 2025
Tue Oct 14 19:39:14 EDT 2025
Wed Oct 01 03:13:27 EDT 2025
Thu Apr 24 23:11:21 EDT 2025
Mon Oct 20 23:46:37 EDT 2025
IsDoiOpenAccess false
IsOpenAccess false
IsPeerReviewed true
IsScholarly true
Issue 7
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c304t-5a83c83330d038f6e5b8462a02d049b08d296bd1e0576cac8eb0f8433c42fb793
Notes SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-1
ObjectType-Feature-2
content type line 23
PQID 1283742268
PQPubID 31565
PageCount 13
ParticipantIDs proquest_journals_1283742268
crossref_citationtrail_10_1080_10511970_2012_659333
crossref_primary_10_1080_10511970_2012_659333
informaworld_taylorfrancis_310_1080_10511970_2012_659333
proquest_miscellaneous_1671524716
eric_primary_EJ988255
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2012-10-00
PublicationDateYYYYMMDD 2012-10-01
PublicationDate_xml – month: 10
  year: 2012
  text: 2012-10-00
PublicationDecade 2010
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle PRIMUS : problems, resources, and issues in mathematics undergraduate studies
PublicationYear 2012
Publisher Taylor & Francis Group
Taylor & Francis, Ltd
Taylor & Francis Ltd
Publisher_xml – name: Taylor & Francis Group
– name: Taylor & Francis, Ltd
– name: Taylor & Francis Ltd
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
SSID ssj0004586
Score 1.8313032
Snippet Mathematical modeling of groundwater flow is a topic at the intersection of mathematics and geohydrology and is rarely encountered in undergraduate...
SourceID proquest
eric
crossref
informaworld
SourceType Aggregation Database
Index Database
Enrichment Source
Publisher
StartPage 564
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
URI https://www.tandfonline.com/doi/abs/10.1080/10511970.2012.659333
http://eric.ed.gov/ERICWebPortal/detail?accno=EJ988255
https://www.proquest.com/docview/1283742268
https://www.proquest.com/docview/1671524716
Volume 22
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVLSH
  databaseName: aylor and Francis Online
  customDbUrl:
  mediaType: online
  eissn: 1935-4053
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0004586
  issn: 1051-1970
  databaseCode: AHDZW
  dateStart: 19970101
  isFulltext: true
  providerName: Library Specific Holdings
– providerCode: PRVPQU
  databaseName: ProQuest Central
  customDbUrl: http://www.proquest.com/pqcentral?accountid=15518
  eissn: 1935-4053
  dateEnd: 20131130
  omitProxy: true
  ssIdentifier: ssj0004586
  issn: 1051-1970
  databaseCode: BENPR
  dateStart: 20001201
  isFulltext: true
  titleUrlDefault: https://www.proquest.com/central
  providerName: ProQuest
– providerCode: PRVPQU
  databaseName: ProQuest Technology Collection
  customDbUrl:
  eissn: 1935-4053
  dateEnd: 20131130
  omitProxy: true
  ssIdentifier: ssj0004586
  issn: 1051-1970
  databaseCode: 8FG
  dateStart: 20001201
  isFulltext: true
  titleUrlDefault: https://search.proquest.com/technologycollection1
  providerName: ProQuest
– providerCode: PRVAWR
  databaseName: Taylor & Francis Science and Technology Library-DRAA
  customDbUrl:
  eissn: 1935-4053
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0004586
  issn: 1051-1970
  databaseCode: 30N
  dateStart: 19970101
  isFulltext: true
  titleUrlDefault: http://www.tandfonline.com/page/title-lists
  providerName: Taylor & Francis
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV3JTsMwEB2V9gIHBGUrlKpIXA2JnaTOASGWlqoSFUIgEJcoXnJCaaHt_zOTOKUICY5xHCeajO1ne-Y9gFONXsEzobGnccuIkJzFOgyY0coonC4ML1QU7sfR8DkYvYavNRhXuTAUVlmNicVAbSaa9sjPfaJpobRPeTn9YKQaRaerlYRG6qQVzEVBMbYGDU7MWHVoXPfHD48r_OGF9iOCCp_5cc-rkumkd05lVEThXvwsCnGlL35MVi4e-gej6a8RvJiWBluw6fBk96p0gG2o2bxJUswubKMJG_dLYtbZDuyvXHULzSNK68jNLjwP-k83Q-a0EZgWXjBnYSqFlviJnvGEzCIbKkQSPPW4QcyvPGl4HCnjW8RjkU61tMrLZCCEDnimsFPuQT2f5PYAurynQqH8FNvSAa6t07jn2wxhRKaEQWO2QFRGSLQjDif9ivfEd_yilekSMl1Smq4FbPnUtCTO-Kf-Ltl3Wbc_ihH8h2EL5KrBk3mxkZGVqiOJ-LvJdvVzEtczZ8m3H7XgZHkb-xQdlKS5nSywTtRDWIPTdnT4dxNHsE7vK4P72lCffy7sMYKUuerAmhzcdaBxNbx9e-k4P-wUy_MvzUnfKQ
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LT-MwEB4hOAAHxJsuryLtHr0kdh7OASEeReXRCq1A4mbiR04oZbdFK_4cv42ZxClFSHDiGMdxpPHYM2PPfB_AT4NawQthcKVxxwiQnGUmjpg12mo0F5ZXLAq9ftK9jS7u4rspeGlqYSitstkTq43aDgydke-HBNNCZZ_y8PEvI9Youl1tKDRyT61gDyqIMV_Yceme_2MINzw4P8X5_sX5WefmpMs8ywAzGMqPWJxLYaTAuN4GQhaJizXaZJ4H3KL3rANpeZZoGzr0bBKTG-l0UMhICBPxQqcExoQmYCYSUYbB38xxp3_9ZwKvvOKaRCcmZGGWBk3xngz2qY2aKL2M_07iTAjxzjj6_Ot3CKofLEZlBs8WYcH7r-2jWuGWYMqVy0T97NNElmG-NwaCHa7A-sRTu-JYojKS0q7C7bdIaQ2my0HpNqDNUx0LHeY4lokwls-zNHQFui2FFhYnrwWiEYIyHqic-DIeVOjxTBvRKRKdqkXXAjb-6rEG6vii_yrJd9y3c5FhsBHHLZCTAlej6uCkqFlOlPh8yK1mcpTfCYbqTW9bsDd-jWuYLmby0g2esE-SohuFbkLy4_MhdmG2e9O7Ulfn_ctNmKN_14mFWzA9-vfkttFBGukdr4VtuP9uxX8F02UXmg
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LbxMxEB5FrYToAUFJ25QAQYKjya693vUeqgqRhLQhEQci9eauH3tCm7ZJVPHX-HWd2UdIhFROPa7X65XGY8-MPfN9AB8tagXPhcWVxj0jQHKWWhkxZ40zaC4cL1kUprN4PI8ur-RVC_40tTCUVtnsieVG7RaWzsj7IcG0UNmn6ud1WsSPwej85pYRgxTdtDZ0GpWKTPzvewzflmcXA5zrT5yPhj-_jlnNMMAshvErJjMlrBIY07tAqDz20qA95lnAHXrOJlCOp7FxoUevJraZVd4EuYqEsBHPTUJATLj97yeE4k5V6qNvW0jlJcskui8hC9MkaMr2VNCnNmqixDL-OZapEGLHLNaZ1zvYqf_YitIAjl7Ci9pz7X2pVO0VtHxxSKTPdYLIIRxMNxCwy9dwvPXUK9mVqICkcG2YP4mMjmCvWBT-BHo8MVKYMMOxbIRRfJYmoc_RYcmNcDJUHRCNELStIcqJKeOXDmsk00Z0mkSnK9F1gG2-uqkgOv7Tv03y3fQdXqYYZkjZAbUtcL0qj0zyit9Ei8eH7DaTo-s9YKn_amwHPmxe4-qlK5ms8Is19okTdKDQQYhPHx_iPTxDddffL2aTN_Ccfl1lFHZhb3W39m_RM1qZd6UK9uD6qXX-AQGbFTQ
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Mathematics+Underground&rft.jtitle=PRIMUS+%3A+problems%2C+resources%2C+and+issues+in+mathematics+undergraduate+studies&rft.au=Luther%2C+Kenneth+H&rft.date=2012-10-01&rft.pub=Taylor+%26+Francis%2C+Ltd&rft.issn=1051-1970&rft.volume=22&rft.issue=7&rft.spage=564&rft_id=info:doi/10.1080%2F10511970.2012.659333&rft.externalDocID=EJ988255
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1051-1970&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1051-1970&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1051-1970&client=summon