Lecture, three hours; discussion, one hour. Requisites: courses 32B, 33B. Recommended: course 115A. Rigorous introduction to foundations of real analysis; real numbers, point set topology in Euclidean space, functions, continuity. P/NP or letter grading.
Select an instructor
Tan, H. (Winter 2025)
Munoz, S. (Winter 2025)
Li Li (Winter 2025)
Ding, C. (Winter 2025)
Xu, P. (Winter 2025)
Haque, S. (Fall 2024)
Badreddine, R. (Fall 2024)
Zhao, Z. (Fall 2024)
Konstantinos Varvarezos (Fall 2024)
Yanez Etcheberry, (Spring 2024)
Jeremy Wu (Spring 2024)
Hatice Mutlu-Akatürk (Spring 2024)
Aaron Palmer (Fall 2023)
Tyler Arant (Fall 2023)
Monica Visan (Fall 2023)
Scavia, F. (Summer 2023)
Keith Ouellette (Summer 2023)
Raphael Rouquier (Spring 2023)
Lyons, C. and Conley, W.J. (Spring 2023)
Andreia Chapouto (Spring 2023)
Justin Forlano (Spring 2023)
Rishi Sonthalia (Winter 2023)
Levon Nurbekyan (Winter 2023)
Itay Neeman (Winter 2023)
No instructors (Fall 2022)
Shinko, F. (Fall 2022)
Lyons, C. and Roper, M.L. (Fall 2022)
Georg Menz (Summer 2022)
Ouellette, K.R. and Jung, C. (Summer 2022)
Breen, J.J. (Spring 2022)
Jose Ramon Madrid Padilla (Spring 2022)
Szczesny, B.J. and Blasius, D.M. (Winter 2022)
Cladek, L.T. and Greenfeld, R. (Winter 2022)
Fumiaki Suzuki (Winter 2022)
Laura Cladek (Fall 2021)
Sunghee Lee (Summer 2021)
Enes Ozel (Summer 2021)
James Tong (Spring 2021)
Stefano Filipazzi (Spring 2021)
Michael Willis (Winter 2021)
Michael Hitrik (Winter 2021)
Kyle Gannon (Winter 2021)
Matthew Jacobs (Winter 2021)
Shay Deutsch (Fall 2020)
James Cameron (Fall 2020)
Artem Chernikov (Spring 2020)
Robert Greene (Spring 2020)
Haofei Fan (Spring 2020)
Matthias Aschenbrenner (Spring 2020)
Sylvester Eriksson-Bique (Winter 2020)
Sherry Gong (Winter 2020)
Andrew Marks (Fall 2019)
Marek Biskup (Fall 2019)
Gang Liu (Fall 2019)
Robert F. Brown (Fall 2019)
Allen Gehret (Fall 2019)
Michael Andrews (Summer 2019)
Bruce Rothschild (Spring 2019)
Jens Eberhardt (Spring 2019)
Nivedita Bhaskhar (Spring 2019)
Alexander Austin (Spring 2019)
Samuel Ramsey (Winter 2019)
John B. Garnett (Fall 2018)
Alpar Meszaros (Fall 2018)
Rolando de Santiago (Spring 2018)
Marco Marengon (Spring 2018)
Burt Totaro (Winter 2018)
Christina (inwon) Kim (Winter 2018)
Wilfrid Gangbo (Winter 2018)
Omprokash Das (Winter 2018)
Nickolas Andersen (Fall 2017)
Ioannis Angelopoulos (Spring 2017)
Spencer Unger (Spring 2017)
Laszlo Zsido (Spring 2017)
Evan Randles (Winter 2017)
Martin Tassy (Fall 2016)
Wenhao Ou (Fall 2016)
Yaozhong Liu (Spring 2016)
Matthew Lafferty (Spring 2016)
Robert Denomme (Spring 2016)
Kristen Hendricks (Spring 2016)
Rodolfo de Sapio and Dimitri Shlyakhtenko (Winter 2016)
Ma Gallauer Alves De Souza (Winter 2016)
Eric Radke (Winter 2016)
Gregory Eskin (Fall 2015)
Huy Tran (Spring 2015)
Aleksandra Kwiatkowska (Spring 2015)
Roman Taranets (Spring 2015)
Erkao Bao (Spring 2015)
David Penneys (Winter 2015)
Jesse Burke (Winter 2015)
Steven Heilman (Fall 2014)
Ricardo Salazar (Fall 2014)
William D Simmons (Spring 2014)
James Ralston Jr (Spring 2014)
David Weisbart (Spring 2014)
Michael Allen Hall (Spring 2014)
Michael Williams (Winter 2014)
George Schaeffer (Fall 2013)
Eviatar Procaccia (Fall 2013)
David Antieau (Fall 2012)
Cheng, B. (Spring 2012)
Goldbring, I.M. (Winter 2012)
Rostyslav Kozhan (Fall 2011)
Stovall, L.E. (Spring 2011)
Edward Effros (Spring 2011)
Martin, C.I. (Winter 2011)
Geoffrey Mess (Winter 2011)
Neiman, M.L. (Spring 2010)
Kucherenko, T. (Spring 2010)
Oberlin, R.L. (Winter 2010)
Thiele, C.M. (Fall 2009)
Dai, S. (Spring 2009)
Gualdani, M. (Winter 2009)
Khan, R.R. (Winter 2009)
Rodolfo de Sapio (Winter 2009)
Song, B. (Spring 2008)
Fernandez, R.N. (Spring 2007)
Bejenaru, I. (Spring 2007)
Miech, R.J. (Spring 2007)
Perez-Marco, R. (Winter 2007)
Jung, K.Y. (Winter 2006)
Enderton, H.B. (Winter 2006)
Hjorth, G. (Winter 2006)
Kostadinov, B. (Fall 2005)
Ozawa, N. (Spring 2005)
Demeter, C. (Winter 2005)
Brose, A. (Winter 2005)
Stefan, M.B. (Fall 2004)
Xiaochun Li (Winter 2004)
Miller, M.D. (Winter 2004)
Brosnan, P. (Winter 2004)
Dimitri Shlyakhtenko (Fall 2003)
Belorousski, P. (Winter 2003)
Kerr, M.D. (Winter 2003)
Muscalu, C.F. (Winter 2003)
Watson, T.C. (Fall 2002)
Schonmann, R. (Fall 2002)
Takesaki, M. (Spring 2002)
Lincoln Chayes and Leticia Dominguez (Fall 2001)
Digernes, T. (Spring 2001)
Ketchersid, R.O. (Spring 2001)
Liggett, T.M. (Winter 2001)
Funaro, D. (Winter 2001)
Knightly, A. (Fall 2000)
Popovici, I. (Winter 2000)
Wang, Q. (Winter 2000)
Mountford, T.S. (Fall 1999)
Tan, H.
25W
Munoz, S.
25W
Li Li
25W
Ding, C.
25W
Xu, P.
25W
Haque, S.
24F
Badreddine, R.
24F
Zhao, Z.
24F
Konstantinos Varvarezos
24F
Yanez Etcheberry,
24S
Jeremy Wu
24S
Hatice Mutlu-Akatürk
24S
Aaron Palmer
23F
Tyler Arant
23F
Monica Visan
23F
Scavia, F.
23Su
Keith Ouellette
23Su
Raphael Rouquier
23S
Lyons, C. and Conley, W.J.
23S
Andreia Chapouto
23S
Justin Forlano
23S
Rishi Sonthalia
23W
Levon Nurbekyan
23W
Itay Neeman
23W
No instructors
22F
Shinko, F.
22F
Lyons, C. and Roper, M.L.
22F
Georg Menz
22Su
Ouellette, K.R. and Jung, C.
22Su
Breen, J.J.
22S
Jose Ramon Madrid Padilla
22S
Szczesny, B.J. and Blasius, D.M.
22W
Cladek, L.T. and Greenfeld, R.
22W
Fumiaki Suzuki
22W
Laura Cladek
21F
Sunghee Lee
21Su
Enes Ozel
21Su
James Tong
21S
Stefano Filipazzi
21S
Michael Willis
21W
Michael Hitrik
21W
Kyle Gannon
21W
Matthew Jacobs
21W
Shay Deutsch
20F
James Cameron
20F
Artem Chernikov
20S
Robert Greene
20S
Haofei Fan
20S
Matthias Aschenbrenner
20S
Sylvester Eriksson-Bique
20W
Sherry Gong
20W
Andrew Marks
19F
Marek Biskup
19F
Gang Liu
19F
Robert F. Brown
19F
Allen Gehret
19F
Michael Andrews
19Su
Bruce Rothschild
19S
Jens Eberhardt
19S
Nivedita Bhaskhar
19S
Alexander Austin
19S
Samuel Ramsey
19W
John B. Garnett
18F
Alpar Meszaros
18F
Rolando de Santiago
18S
Marco Marengon
18S
Burt Totaro
18W
Christina (inwon) Kim
18W
Wilfrid Gangbo
18W
Omprokash Das
18W
Nickolas Andersen
17F
Ioannis Angelopoulos
17S
Spencer Unger
17S
Laszlo Zsido
17S
Evan Randles
17W
Martin Tassy
16F
Wenhao Ou
16F
Yaozhong Liu
16S
Matthew Lafferty
16S
Robert Denomme
16S
Kristen Hendricks
16S
Rodolfo de Sapio and Dimitri Shlyakhtenko
16W
Ma Gallauer Alves De Souza
16W
Eric Radke
16W
Gregory Eskin
15F
Huy Tran
15S
Aleksandra Kwiatkowska
15S
Roman Taranets
15S
Erkao Bao
15S
David Penneys
15W
Jesse Burke
15W
Steven Heilman
14F
Ricardo Salazar
14F
William D Simmons
14S
James Ralston Jr
14S
David Weisbart
14S
Michael Allen Hall
14S
Michael Williams
14W
George Schaeffer
13F
Eviatar Procaccia
13F
David Antieau
12F
Cheng, B.
12S
Goldbring, I.M.
12W
Rostyslav Kozhan
11F
Stovall, L.E.
11S
Edward Effros
11S
Martin, C.I.
11W
Geoffrey Mess
11W
Neiman, M.L.
10S
Kucherenko, T.
10S
Oberlin, R.L.
10W
Thiele, C.M.
09F
Dai, S.
09S
Gualdani, M.
09W
Khan, R.R.
09W
Rodolfo de Sapio
09W
Song, B.
08S
Fernandez, R.N.
07S
Bejenaru, I.
07S
Miech, R.J.
07S
Perez-Marco, R.
07W
Jung, K.Y.
06W
Enderton, H.B.
06W
Hjorth, G.
06W
Kostadinov, B.
05F
Ozawa, N.
05S
Demeter, C.
05W
Brose, A.
05W
Stefan, M.B.
04F
Xiaochun Li
04W
Miller, M.D.
04W
Brosnan, P.
04W
Dimitri Shlyakhtenko
03F
Belorousski, P.
03W
Kerr, M.D.
03W
Muscalu, C.F.
03W
Watson, T.C.
02F
Schonmann, R.
02F
Takesaki, M.
02S
Lincoln Chayes and Leticia Dominguez
01F
Digernes, T.
01S
Ketchersid, R.O.
01S
Liggett, T.M.
01W
Funaro, D.
01W
Knightly, A.
00F
Popovici, I.
00W
Wang, Q.
00W
Mountford, T.S.
99F
Enrollment data not available.
Previously taught
15F
14F
13W
12F
12W
11F
11W
10W
09F
08W
05F
04F
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