Math.496 + 696 Matrinomials Spring 2018
This page will detail several
different types of homework that will be assigned during the semester.
Reading. There will be no textbook, but lecture
notes and other handouts will be distributed. Every student is
responsible for the material presented in these handouts. The
emphasis will be on learning a body of mathematical results related to
polynomials and matrices. It is your job to learn what the facts
are (definitions, examples, theorems), what techniques we use (for
example, polynomial long division, matrix diaogonalization), and how
the theorems are proved. For most students this will require
listening to lectures and carefully studying the readings. Trying
to complete homework without first understanding the readings will
generally be difficult.
- Regular homework. Regular
homework will be assigned each class period. Some of the assigned
work will give you a chance to apply the results derived in class to
specific examples. You will also be asked to prove parts of the
theorems we cover, or to extend what is presented in class or the
reading. Working together is encouraged, but you are expected to
follow the guidelines in the webpage covering academic
integrity. These assignments will not be
collected and graded, but they will contribute to your understanding of
the material and will help prepare you for the formal problem sets.
- Formal Problem Sets (4 during
the semester). These will consist of selected problems
from regular homework for which solutions have not been provided.
These should be treated as formal writing assignments, and so should
follow the usual conventions of mathematical writing. Start each
problem on a new page. Include the problem
statement at the beginning of each problem, and use the
language and formatting similar to worked out examples and
proofs in the assigned reading. Please read this webpage giving more details on formal
- Class worksheets. Class
time will often involve working alone or in groups to complete
worksheets or other assigned investigations.