MTH5100 Algebraic Structures I 2012/13 (Semester B)
Lecturer: Prof. L.H. Soicher
Contact information and office hours:
Please see my
Mon. 15:00-16:00 (GO Jones LT), Tue. 9:00-10:00 (Maths LT),
Thu. 14:00-15:00 (Maths LT)
Official module information
The module text is:
Peter J. Cameron, Introduction to Algebra (Second Edition),
Oxford University Press, 2008.
The lectures follow specified sections of the module text quite closely,
and I recommend that you buy a copy of this book (make sure you
get the Second Edition). This book is also used for
the follow-on module MTH6104 Algebraic Structures II. The College Library has
some copies of the module text and also provides this text as an e-book.
Module text sections covering lectures 1 to 5: 1.13-1.18 and 1.22.
Module text sections covering lectures 6 to 9: 2.1-2.3.
Module text section covering lectures 10 to 11: 2.4.
Module text section covering lectures 12 to 13: 2.5.
Module text sections covering lectures 14 to 18: 2.6 and 2.8
(up to and including the First Isomorphism Theorem and its proof).
Module text sections covering week 8 lectures:
2.8 (from Second Isomorphism Theorem) and 2.9.
Module text sections covering week 9 lectures: 2.10 and 2.11.
Module text sections covering week 10 lectures: 2.12 and 7.9.
Module text sections covering week 11 lectures: 2.13 and 2.14.
Module text sections covering week 12 lectures: 2.15 and 2.16.
You may also find Chapters 1,2,3 and 5 of the following text useful for
some parts of this module (although beware that not all the notation is
the same as used in this module):
D.A.R. Wallace, Groups, Rings and Fields,
Copies of this book are available in the College Library's Teaching Collection.
Revision and final exam information
- There will be an Algebraic Structures I revision
lecture in room PP1 on Monday, 22 April 2013, 12:00-13:00.
In addition, I will have a limited number of Office Hours in May
(before the Algebraic Structures I exam) for students to
ask questions. The times for these will be posted on my
- The 2011-12 final exam is available below to help with your revision.
Exams previous to that are available from the QMUL library website, but
be aware that from 2011-12, the study of groups is no longer on
the Algebraic Structures I syllabus.
- Sample solutions are not provided for past exams, since it
is best to work out the solutions for yourself and to understand the
concepts involved. See also your lecture notes and courseworks and
their solutions for help. Once you have worked out a solution to an
exam question, you should think about how to check it, as this will be
important on the final exam. If you have any questions about a solution
that you have worked out and checked, I will be very happy to answer
these questions during an Office Hour.
- The 2012-13 Algebraic Structures I final exam will have the
same rubric and a similar structure to the 2011-12 exam. You are
responsible for all the material covered in your lecture notes (or
the corresponding module text sections), up to and including week 12,
as well as all the courseworks and their solutions, including both practice
and feedback questions.
- Some questions on the final exam will be similar to coursework
questions. There will certainly be definitions asked for on the final
exam, which you should be able to reproduce accurately. There will
certainly be proofs asked for on the final exam, some of which
may be from the lecture notes, and some may be similar to
proofs asked for in the courseworks.
- When taking the final exam, please read each question
carefully, and answer the question that is actually asked!
Exercise classes start in week 2.
There are no exercise classes during the consolidation and test week (week 7).
You are expected to attend the exercise class each week corresponding to the
first letter of your surname.
||Thu. 16:00-17:00||GO Jones UG1
||Fri. 10:00-11:00||GO Jones UG1
2012 mid-term test
2012 mid-term test solutions
2013 mid-term test
2013 mid-term test solutions
- Students are expected to attend all lectures, and to
be quiet during lectures. Mobile phones
must be switched OFF in lectures and in exercise classes.
Use of calculators is not permitted in either the final examination or the
Performance on this module will be assessed as follows:
Week-7 mid-term test: 10%
Final examination: 90%