past qualifying exams
Basic Exam
Algebra
Analysis
Applied Differential Equations
Geometry/Topology
Logic
Numerical Analysis
Optimization and Linear Algebra
French Language Exam
German Language Exam
Russian Language Exam
Basic Exam
| 1990 |
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| Fall 1990 |
| 2001 |
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| Fall 2001 |
| 2002 |
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| Fall 2002 |
| Spring 2002 |
| Winter 2002 |
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| Winter 2012 |
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| 2019 |
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| Fall 2019 |
| Spring 2019 |
| 2020 |
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| Fall 2020 |
| Spring 2020 |
| 2021 |
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| Fall 2021 |
| Spring 2021 |
| 2022 |
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| Fall 2022 |
| Spring 2022 |
| 2023 |
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| Fall 2023 |
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| 2024 |
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| Fall 2024 |
| Spring 2024 |
| 2025 |
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| Fall 2025 |
| Spring 2025 |
Algebra
| 2000 |
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| Fall 2000 |
| Spring 2000 |
| 2001 |
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| Fall 2001 |
| Spring 2001 |
| 2002 |
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| Fall 2002 |
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| Spring 2009 |
| 2010 |
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| Spring 2010 |
| 2011 |
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| Fall 2011 |
| Spring 2011 |
| 2012 |
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| Fall 2012 |
| Spring 2012 |
| 2013 |
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| Fall 2013 |
| Spring 2013 |
| 2014 |
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| Fall 2014 |
| Spring 2014 |
| 2015 |
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| Fall 2015 |
| Spring 2015 |
| 2016 |
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| Fall 2016 |
| Spring 2016 |
| 2017 |
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| Fall 2017 |
| Spring 2017 |
| 2018 |
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| Fall 2018 |
| Spring 2018 |
| 2019 |
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| Fall 2019 |
| Spring 2019 |
| 2020 |
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| Fall 2020 |
| Spring 2020 |
| 2021 |
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| Fall 2021 |
| Spring 2021 |
| 2022 |
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| Fall 2022 |
| Spring 2022 |
| 2023 |
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| Fall 2023 |
| Spring 2023 |
| 2024 |
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| Fall 2024 |
| Spring 2024 |
| 2025 |
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| Fall 2025 |
| Spring 2025 |
Analysis
| 2001 |
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| Fall 2001 |
| 2002 |
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| Fall 2002 |
| Spring 2002 |
| Winter 2002 |
| 2003 |
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| Fall 2003 |
| Winter 2003 |
| 2004 |
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| Fall 2004 |
| Winter 2004 |
| 2005 |
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| Fall 2005 |
| 2006 |
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| Fall 2006 |
| Spring 2006 |
| 2007 |
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| Fall 2007 |
| Winter 2007 |
| 2008 |
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| Fall 2008 |
| Spring 2008 |
| 2009 |
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| Fall 2009 |
| Spring 2009 |
| 2010 |
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| Fall 2010 |
| Spring 2010 |
| 2011 |
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| Fall 2011 |
| Spring 2011 |
| 2012 |
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| Fall 2012 |
| Spring 2012 |
| 2013 |
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| Fall 2013 |
| Spring 2013 |
| 2014 |
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| Fall 2014 |
| Spring 2014 |
| 2015 |
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| Fall 2015 |
| Spring 2015 |
| 2016 |
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| Fall 2016 |
| Spring 2016 |
| 2017 |
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| Fall 2017 |
| Spring 2017 |
| 2018 |
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| Fall 2018 |
| Spring 2018 |
| 2019 |
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| Fall 2019 |
| Spring 2019 |
| 2020 |
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| Fall 2020 |
| Spring 2020 |
| 2021 |
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| Fall 2021 |
| Spring 2021 |
| 2022 |
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| Fall 2022 |
| Spring 2022 |
| 2023 |
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| Fall 2023 |
| Spring 2023 |
| 2024 |
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| Fall 2024 |
| Spring 2024 |
| 2025 |
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| Fall 2025 |
| Spring 2025 |
Applied Differential Equations
| 1999 |
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| Fall 1999 |
| 2000 |
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| Fall 2000 |
| Spring 2000 |
| 2001 |
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| Fall 2001 |
| Spring 2001 |
| 2002 |
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| Fall 2002 |
| Spring 2002 |
| Winter 2002 |
| 2003 |
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| Fall 2003 |
| Winter 2003 |
| 2004 |
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| Fall 2004 |
| Winter 2004 |
| 2005 |
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| Fall 2005 |
| Winter 2005 |
| 2006 |
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| Fall 2006 |
| Spring 2006 |
| 2007 |
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| Fall 2007 |
| Spring 2007 |
| 2008 |
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| Fall 2008 |
| Spring 2008 |
| 2009 |
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| Fall 2009 |
| Spring 2009 |
| 2010 |
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| Fall 2010 |
| Spring 2010 |
| 2011 |
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| Fall 2011 |
| Spring 2011 |
| 2012 |
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| Fall 2012 |
| Spring 2012 |
| 2013 |
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| Fall 2013 |
| Spring 2013 |
| 2014 |
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| Fall 2014 |
| Spring 2014 |
| 2015 |
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| Fall 2015 |
| Spring 2015 |
| 2016 |
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| Fall 2016 |
| Spring 2016 |
| 2017 |
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| Fall 2017 |
| Spring 2017 |
| 2018 |
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| Fall 2018 |
| Spring 2018 |
| 2019 |
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| Fall 2019 |
| Spring 2019 |
| 2020 |
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| Fall 2020 |
| Spring 2020 |
| 2021 |
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| Fall 2021 |
| Spring 2021 |
| 2022 |
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| Spring 2022 |
| 2023 |
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| Fall 2023 |
| Spring 2023 |
| 2024 |
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| Fall 2024 |
| Spring 2024 |
| 2025 |
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| Fall 2025 |
| Spring 2025 |
Geometry/Topology
| 2001 |
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| Spring 2001 |
| 2002 |
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| Fall 2002 |
| Spring 2002 |
| Winter 2002 |
| 2003 |
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| Fall 2003 |
| Winter 2003 |
| 2004 |
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| Fall 2004 |
| Winter 2004 |
| 2005 |
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| Fall 2005 |
| Winter 2005 |
| 2006 |
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| Spring 2006 |
| 2007 |
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| Fall 2007 |
| Winter 2007 |
| 2008 |
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| Fall 2008 |
| Spring 2008 |
| 2009 |
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| Spring 2009 |
| 2010 |
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| Fall 2010 |
| Spring 2010 |
| 2011 |
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| Fall 2011 |
| Spring 2011 |
| 2012 |
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| Fall 2012 |
| Spring 2012 |
| 2013 |
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| Fall 2013 |
| Spring 2013 |
| 2014 |
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| Fall 2014 |
| Spring 2014 |
| 2015 |
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| Fall 2015 |
| Spring 2015 |
| 2016 |
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| Fall 2016 |
| Spring 2016 |
| 2017 |
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| Fall 2017 |
| Spring 2017 |
| 2018 |
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| Fall 2018 |
| Spring 2018 |
| 2019 |
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| Fall 2019 |
| Spring 2019 |
| 2020 |
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| Fall 2020 |
| Spring 2020 |
| 2021 |
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| Fall 2021 |
| Spring 2021 |
| 2022 |
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| Fall 2022 |
| Spring 2022 |
| 2023 |
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| Fall 2023 |
| Spring 2023 |
| 2024 |
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| Fall 2024 |
| Spring 2024 |
| 2025 |
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| Fall 2025 |
| Spring 2025 |
Logic
| 2001 |
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| Fall 2001 |
| 2002 |
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| Fall 2002 |
| Winter 2002 |
| 2003 |
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| Fall 2003 |
| Winter 2003 |
| 2004 |
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| Fall 2004 |
| Winter 2004 |
| 2005 |
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| Fall 2005 |
| Winter 2005 |
| 2006 |
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| Spring 2006 |
| 2007 |
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| Fall 2007 |
| 2008 |
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| Fall 2008 |
| 2009 |
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| Fall 2009 |
| 2010 |
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| Fall 2010 |
| Spring 2010 |
| 2011 |
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| Fall 2011 |
| Spring 2011 |
| 2012 |
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| Fall 2012 |
| Spring 2012 |
| 2013 |
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| Fall 2013 |
| Spring 2013 |
| 2014 |
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| Fall 2014 |
| 2015 |
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| Fall 2015 |
| 2016 |
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| Fall 2016 |
| Spring 2016 |
| 2017 |
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| Fall 2017 |
| 2018 |
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| Fall 2018 |
| 2019 |
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| Fall 2019 |
| Spring 2019 |
| 2020 |
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| Fall 2020 |
| 2021 |
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| Fall 2021 |
| 2022 |
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| Fall 2022 |
| 2023 |
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| Spring 2023 |
| 2024 |
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| Fall 2024 |
| 2025 |
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| Fall 2025 |
Numerical Analysis
| 2000 |
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| Fall 2000 |
| 2001 |
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| Fall 2001 |
| Spring 2001 |
| 2002 |
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| Fall 2002 |
| Spring 2002 |
| Winter 2002 |
| 2003 |
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| Fall 2003 |
| Winter 2003 |
| 2004 |
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| Fall 2004 |
| Winter 2004 |
| 2005 |
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| Fall 2005 |
| Winter 2005 |
| 2006 |
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| Fall 2006 |
| Winter 2006 |
| 2007 |
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| Fall 2007 |
| Spring 2007 |
| 2008 |
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| Fall 2008 |
| Spring 2008 |
| 2009 |
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| Fall 2009 |
| Spring 2009 |
| 2010 |
|---|
| Fall 2010 |
| Spring 2010 |
| 2011 |
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| Fall 2011 |
| Spring 2011 |
| 2012 |
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| Fall 2012 |
| Spring 2012 |
| 2013 |
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| Fall 2013 |
| Spring 2013 |
| 2014 |
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| Fall 2014 |
| Spring 2014 |
| 2015 |
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| Fall 2015 |
| Spring 2015 |
| 2016 |
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| Fall 2016 |
| Spring 2016 |
| 2017 |
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| Fall 2017 |
| Spring 2017 |
| 2018 |
|---|
| Fall 2018 |
| Spring 2018 |
| 2019 |
|---|
| Fall 2019 |
| Spring 2019 |
| 2020 |
|---|
| Fall 2020 |
| Spring 2020 |
| 2021 |
|---|
| Fall 2021 |
| Spring 2021 |
| 2022 |
|---|
| Fall 2022 |
| Spring 2022 |
| 2023 |
|---|
| Fall 2023 |
| Spring 2023 |
| 2024 |
|---|
| Fall 2024 |
| Spring 2024 |
| 2025 |
|---|
| Fall 2025 |
| Spring 2025 |
Optimization and Linear Algebra
| 2021 |
|---|
| Fall 2021 |
| Spring 2021 |
| 2022 |
|---|
| Fall 2022 |
| Spring 2022 |
| 2023 |
|---|
| Fall 2023 |
| Spring 2023 |
| 2024 |
|---|
| Fall 2024 |
| Spring 2024 |
| 2025 |
|---|
| Fall 2025 |
| Spring 2025 |
French Language Exam
| 2001 |
|---|
| Fall 2001 |
| 2002 |
|---|
| Fall 2002 |
| Spring 2002 |
| 2003 |
|---|
| Fall 2003 |
| Winter 2003 |
| 2004 |
|---|
| Fall 2004 |
| Winter 2004 |
| 2005 |
|---|
| Fall 2005 |
| Spring 2005 |
| Winter 2005 |
| 2006 |
|---|
| Fall 2006 |
| Spring 2006 |
| 2007 |
|---|
| Fall 2007 |
| Spring 2007 |
| 2008 |
|---|
| Fall 2008 |
| Spring 2008 |
| 2009 |
|---|
| Spring 2009 |
| 2010 |
|---|
| Fall 2010 |
| 2011 |
|---|
| Fall 2011 |
| 2014 |
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| Fall 2014 |
| 2015 |
|---|
| Fall 2015 |
| 2016 |
|---|
| Spring 2016 |
| 2017 |
|---|
| Fall 2017 |
| Spring 2017 |
| 2018 |
|---|
| Spring 2018 |
| 2019 |
|---|
| Spring 2019 |
German Language Exam
| 2001 |
|---|
| Fall 2001 |
| 2002 |
|---|
| Fall 2002 |
| Spring 2002 |
| 2003 |
|---|
| Fall 2003 |
| Winter 2003 |
| 2004 |
|---|
| Fall 2004 |
| 2005 |
|---|
| Fall 2005 |
| Winter 2005 |
| 2006 |
|---|
| Fall 2006 |
| 2007 |
|---|
| Spring 2007 |
| 2008 |
|---|
| Fall 2008 |
| 2009 |
|---|
| Spring 2009 |
| 2011 |
|---|
| Fall 2011 |
| 2014 |
|---|
| Fall 2014 |
| 2016 |
|---|
| Fall 2016 |
| Spring 2016 |
| 2018 |
|---|
| Spring 2018 |
| 2019 |
|---|
| Spring 2019 |
Russian Language Exam
| 2000 |
|---|
| Fall 2000 |
| 2002 |
|---|
| Fall 2002 |
| Spring 2002 |
| 2005 |
|---|
| Fall 2005 |
| Winter 2005 |
| 2006 |
|---|
| Spring 2006 |
| 2007 |
|---|
| Spring 2007 |
| 2009 |
|---|
| Spring 2009 |
| 2014 |
|---|
| Fall 2014 |
| 2019 |
|---|
| Spring 2019 |