Find a mistake in the following reasoning (if there is any):

Below are the old Analysis and Algebra qualifying exams. If anyone has any suggestions or ideas, please contact the graduate director.

Algebra	Analysis
Syllabus	Syllabus
January 2007	January 2007
August 2006	August 2006
January 2006	January 2006
August 2005	August 2005
January 2005	January 2005
August 2004	August 2004
January 2004	January 2004
August 2003	August 2003
January 2003	January 2003
August 2002	August 2002
January 2002	January 2002
August 2001	August 2001
January 2001	January 2001
August 2000	August 2000
January 2000	January 2000
August 1999	August 1999
January 1999	January 1999
August 1998	August 1998
January 1998	January 1998
August 1997	August 1997
January 1997	January 1997
August 1996	August 1996
January 1996	January 1996
August 1995	August 1995
January 1995	January 1995
August 1994	August 1994
January 1994	January 1994
August 1993	August 1993
January 1993	January 1993
August 1992	August 1992
January 1992	January 1992
August 1991	August 1991
January 1991	January 1991
August 1990	August 1990
January 1990	January 1990
August 1989	August 1989
January 1989	January 1989
August 1988	August 1988
January 1988	January 1988
August 1987	August 1987
January 1987	January 1987
August 1986	August 1986
January 1986	January 1986
August 1985	August 1985
January 1985	January 1985
August 1984	August 1984
January 1984	January 1984

You might need to check this file.

It summaries some of the theorems.

ANALYSIS:

Wei-Tian typed and separated the problems into 4 different areas:

1. Metric Spaces.
2. Complex Analysis.
3. Measure Theory.
4. True or False Problems.

ALGEBRA:

Wei-Tian typed and separated the problems into 3 different areas:

1. Linear Algebra.
2. Group Theory.
3. Ring Theory.

Find a mistake in the following reasoning (if there is any):

You might need to check this file.

It summaries some of the theorems.

ANALYSIS:

ALGEBRA:

Wei-Tian typed and separated the problems into 3 different areas: 1. Linear Algebra. 2. Group Theory. 3. Ring Theory.

Wei-Tian typed and separated the problems into 3 different areas:

1. Linear Algebra.
2. Group Theory.
3. Ring Theory.