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MATH-6220: Applied Functional Analysis
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Applied Functional Analysis
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MATH-6220
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A basic course in the concepts of linear functional analysis, including such topics as Banach and Hilbert spaces, L^p and l^p (sequence) spaces; weak, strong and weak* convergence; linear functionals; linear bounded, unbounded, closed, and compact operators; spectrum, resolvent, the spectral theorem for compact operators, Fredholm alternative; applications are to differential equations, integral equations and optimization.
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4 credits
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< a class = "course-pill" href = "MATH-4200" > MATH-4200 Mathematical Analysis I< / a >
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< th > < / th >
< th class = "spring season-label" > Spring< / th >
< th class = "summer season-label" colspan = "2" > Summer< / th >
< th class = "fall season-label" > Fall< / th >
< / tr >
< tr >
< th colspan = "2" > < / th >
< th class = "summer2 midsum-label" > (Session 1)< / th >
< th class = "summer3 midsum-label" > (Session 2)< / th >
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< th class = "year" > 2023< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202309&subj_in=MATH&crse_in=6220&schd_in=" > Applied Functional Analysis (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Fengyan Li< / li >
< / ul >
< span class = "course-capacity" >
2023-08-24 03:20:59 +00:00
Seats Taken: 4/20
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< / div >
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< / td >
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< tr >
< th class = "year" > 2022< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
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< tr >
< th class = "year" > 2021< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202109&subj_in=MATH&crse_in=6220&schd_in=" > Applied Functional Analysis (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Fengyan Li< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 3/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2020< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2019< / th >
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< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201909&subj_in=MATH&crse_in=6220&schd_in=" > Applied Functional Analysis (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > David Isaacson< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 4/20
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< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2018< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
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< tr >
< th class = "year" > 2017< / th >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
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< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201709&subj_in=MATH&crse_in=6220&schd_in=" > Applied Functional Analysis (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Fengyan Li< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 7/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2016< / th >
< td class = "term spring not-offered" >
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< / td >
< td class = "term fall offered" >
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< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201609&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Func Analysis (4c)< / a >
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< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 8/20
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< / div >
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< th class = "year" > 2015< / th >
< td class = "term spring not-offered" >
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< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201509&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Func Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 12/30
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< / div >
< / td >
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< th class = "year" > 2014< / th >
< td class = "term spring offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201401&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Func Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Chjan C Lim< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 8/30
< / span >
< / div >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Func Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 8/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2013< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall not-offered" >
< / td >
< / tr >
< tr >
< th class = "year" > 2012< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 12/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2011< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201109&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 10/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2010< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Michael Zuker< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 4/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2009< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200909&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 7/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2008< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200809&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 16/30
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2007< / th >
2023-02-22 04:39:06 +00:00
< td class = "term spring not-offered" >
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< / td >
2023-02-22 04:39:06 +00:00
< td colspan = "2" class = "term summer not-offered" >
2023-02-10 04:02:50 +00:00
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200709&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-10 04:02:50 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 2/20
< / span >
< / div >
< / td >
< / tr >
2023-02-22 04:39:06 +00:00
< tr >
< th class = "year" > 2006< / th >
< td class = "term spring not-offered" >
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< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200609&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 10/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2005< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200509&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Chjan C Lim< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 4/20
< / span >
< / div >
< / td >
< / tr >
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< th class = "year" > 2004< / th >
< td class = "term spring not-offered" >
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< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200409&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Chjan C Lim< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 9/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2003< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200309&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Thomas Pok-Yin Yu< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 3/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2002< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200209&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 9/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2001< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200109&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Thomas Pok-Yin Yu< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 5/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 2000< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200009&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 9/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 1999< / th >
< td class = "term spring not-offered" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199909&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > David Isaacson< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 8/20
< / span >
< / div >
< / td >
< / tr >
< tr >
< th class = "year" > 1998< / th >
< td class = "term spring unscheduled" >
< / td >
< td colspan = "2" class = "term summer not-offered" >
< / td >
< td class = "term fall offered" >
< div class = "view-container detail-view-container" >
< span class = "term-course-info" >
2023-04-05 18:33:00 +00:00
< a href = "https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199809&subj_in=MATH&crse_in=6220&schd_in=" > Intro To Functional Analysis (4c)< / a >
2023-02-22 04:39:06 +00:00
< / span >
< ul class = "prof-list" >
< li > Joyce R. McLaughlin< / li >
< / ul >
< span class = "course-capacity" >
Seats Taken: 7/20
< / span >
< / div >
< / td >
< / tr >
2023-02-10 04:02:50 +00:00
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