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Möbius Transformations Revealed is a short video by Douglas Arnold and Jonathan Rogness which depicts the beauty of Möbius transformations and shows how moving to a higher dimension reveals their essential unity.

math.umn.edu / grad / Writtens

Prelims

Ph.D. Written Prelim Examination Syllabus

Ph.D. Written Prelim Examination Committee 2011-2012

Schedule for Spring 2012 Written Prelims (April 16 - 19)

The exams:

Algebra Spring 2012 Written Prelim exam

Manifolds and Topology Spring 2012 Written Prelim exam

Complex Analysis Spring 2012 Written Prelim exam

Real Analysis Spring 2012 Written Prelim exam

The grade distributions:

Algebra Spring 2012 Written Prelim grades

Manifolds and Topology Spring 2012 Written Prelim grades

Complex Analysis Spring 2012 Written Prelim grades

Real Analysis Spring 2012 Written Prelim grades

Schedule for Fall 2011 Written Prelims (August 29 - September 01)

The exams:

Algebra Fall 2011 Written Prelim exam

Manifolds and Topology Fall 2011 Written Prelim exam

Complex Analysis Fall 2011 Written Prelim exam

Real Analysis Fall 2011 Written Prelim exam

The grade distributions:

Algebra Fall 2011 Written Prelim grades

Manifolds and Topology Fall 2011 Written Prelim grades

Complex Analysis Fall 2011 Written Prelim grades

Real Analysis Fall 2011 Written Prelim grades

Ph.D. Written Prelim Examination Committee 2010-2011

Schedule for Spring 2011 Written Prelims (April 18 - 21)

The exams:

Algebra Spring 2011 Written Prelim exam

Manifolds and Topology Spring 2011 Written Prelim exam

Complex Analysis Spring 2011 Written Prelim exam

Real Analysis Spring 2011 Written Prelim exam

The grade distributions:

Algebra Spring 2011 Written Prelim grades

Manifolds and Topology Spring 2011 Written Prelim grades

Complex Analysis Spring 2011 Written Prelim grades

Real Analysis Spring 2011 Written Prelim grades

Schedule for Fall 2010 Written Prelims (August 30 - September 02)

The exams:

Algebra Fall 2010 Written Prelim exam

Manifolds and Topology Fall 2010 Written Prelim exam

Complex Analysis Fall 2010 Written Prelim exam

Real Analysis Fall 2010 Written Prelim exam

The grade distributions:

Algebra Fall 2010 Written Prelim grades

Manifolds and Topology Fall 2010 Written Prelim grades

Complex Analysis Fall 2010 Written Prelim grades

Real Analysis Fall 2010 Written Prelim grades

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Last modified on May 02, 2012