Algebra Qualifying Exam: Difference between revisions

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* [[Media:Aug 2014 Algebra Quals.pdf| Summer 2014]]
* [[Media:Aug 2014 Algebra Quals.pdf| Summer 2014]]
* [[Media:Jan 2014 Algebra Quals.pdf| Winter 2014]]
* [[Media:Jan 2014 Algebra Quals.pdf| Winter 2014]]
* Pre-2014 exams are available [http://www.math.wisc.edu/~passman/algquals.html here], there is also a file with 1991-2013 quals on Atrium.
* Pre-2014 exams are available [http://www.math.wisc.edu/~passman/algquals.html here]


= Guillermo Mantilla's SEP Notes =
= SEP Notes =
https://kb.wisc.edu/math/internal/122251 is the new repository for any SEP content from previous semesters.  
https://kb.wisc.edu/math/internal/122251 is the new repository for any SEP content from previous semesters.
 
 
 
<nowiki>***</nowiki>
 
 
In the summers of 2008, 2009, 2010 Guillermo Mantilla ran a well-regarded summer enchancement program in algebra preparing for the qualifying examination. Guillermo wrote up a set of notes covering the material that appears on the qualifying exam. Links appear in the order presented in class, not the order of the respective problems on the exam.
 
Note: the links below are broken. The files themselves are available on Atrium, there are also 2016 SEP [https://www.math.wisc.edu/~eramos/teaching/SEP.html notes by Eric Ramos].
 
* Linear Algebra
** [http://www.math.wisc.edu/~dynerman/content/mantilla/linear/Linear.pdf Linear Algebra I]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/linear/inner.pdf Linear Algebra II (inner products)]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/linear/Jform.pdf Linear Algebra III (Jordan Form)]
 
* Group Theory
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/BasicGroups.pdf Group Theory I]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/MoreGroups.pdf Group Theory II (group actions)]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/SolNil.pdf Solvable & Nilpotent Groups]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/ThmsGroups.pdf Theorems for non-simplicity]
*** [http://www.math.wisc.edu/~dynerman/content/mantilla/group/less1000.pdf Non-simplicity proofs for groups of order < 1000]
 
* Field Theory
** [http://www.math.wisc.edu/~dynerman/content/mantilla/galois/BasicFields.pdf Field Theory I]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/galois/Fields2.pdf Field Theory II]
 
* Ring Theory
** [http://www.math.wisc.edu/~dynerman/content/mantilla/ring/Modules.pdf Modules]
** [http://www.math.wisc.edu/~dynerman/content/mantilla/commute/CommutativeAlg.pdf Commutative Rings]

Revision as of 18:08, 17 July 2023

Here is some assorted material related to the Algebra Qualifying Exam. This page has been created by graduate students, so, as always, you should consult the official graduate program page for official information. The syllabus can be found here.

Summer 2022 SEP

Below are the notes, worksheets, and solutions that will be used during the Summer 2022 SEP, run by Caitlyn Booms (cbooms@wisc.edu) and Ivan Aidun (aidun@wisc.edu).

List of topics covered on exam

Online repository of past exams

Schedule

5 Weeks: July 19 - August 18

Meetings on Tuesdays and Thursdays at 9:45am-12pm in VV B333.

Week 1 - Linear Algebra: Notes, July 19 (Worksheet and Solutions), July 21 (Worksheet and Solutions)

Week 2 - Fields: Notes, July 26 (Worksheet and Solutions), July 28 (Worksheet and Solutions)

Week 3 - Rings & Modules: Notes, August 2 (Worksheet and Solutions), August 4 (Worksheet and Solutions)

Week 4 - Groups: Notes, August 9 (Worksheet and Solutions), August 11 (Worksheet and Solutions)

Week 5 Misc./Review: August 16 (Worksheet and Solutions), August 18 (Worksheet and Solutions)

Past Qualifying Exams

SEP Notes

https://kb.wisc.edu/math/internal/122251 is the new repository for any SEP content from previous semesters.

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