Each student must pass two preliminary exams: one in Applied Analysis and one in Applied Linear Algebra. These are fourhour written exams that cover material roughly at the level of firstyear graduate study. The exams are offered twice a year, from 10:00 am to 2:00 pm. The first set of exams are offered in January. The Applied Analysis preliminary exam will be held the Monday prior to the start of classes, and the Applied Linear Algebra exam is offered the Friday before the start of classes. The second exam offerings follow the spring semester. The Applied Linear Algebra exam is held the Friday before the start of the summer semester, and the Applied Analysis exam is offered the first Friday of the summer semester.
A student wishing to take a preliminary exam must sign up with the graduate program assistant at least one month prior to the administration of the exam. Students who cannot take the exam as planned must give notice of withdrawal at least one week prior to the exam.
Students have a maximum of three attempts to pass each exam. The time limit clock starts the first semester a student is admitted into the program.
 Students entering the Ph.D. program without a master’s degree in mathematics have three years to pass both preliminary exams.
 Students entering the Ph.D. program with a master’s degree in mathematics have two years to pass both preliminary exams.
No appeals will be considered if a student fails the respective exam a third time.


Term  Linear Algebra  Analysis  

January 2008  forthcoming  Exam [with solutions]  
May/June 2007  Exam [with solutions]  forthcoming  
June 2006  –no exam–  Exam [with solutions]  
January 2006  Exam [with solutions]  Exam [with solutions]  
Fall 2005  Exam [with solutions]  Exam [with solutions]  
Spring 2005  Exam with solutions  Exam [with solutions]  
Fall 2004  Exam [with solutions]  Exam [with solutions]  
Spring 2004  Exam [with solutions]  Exam [with solutions]  
Fall 2003  Exam [with solutions]  Exam [with solutions]  
Spring 2003  Exam [with solutions]  Exam with solutions  
Fall 2002  Exam with solutions  Exam [with solutions]  
Spring 2002  Exam with solutions  Exam [with solutions*]  
Fall 2001  Exam with solutions  Exam[with solutions*]  


* Solutions courtesy of Tessa Weinstein  

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