Text: Friedberg, S. H., Insel,
A. J. and Spence, L. E., Linear Algebra, 4th Edition. Upper Saddle
River, Prentice-Hall, 2007.
Prerequisites: Math 250
(Introductory Linear Algebra), Math 300 (Mathematical Reasoning), and Math
244, or Math 252, or Math 292, (Differential Equations) .
Math 250 background: There is a
certain amount of elementary material from Math 250 that I want to be sure
that you know. Review notes for this material are posted on on the class
web page (given above), and there will be quiz on this material on Monday,
September 19. You must pass this quiz within the first four weeks of
the course. If you don't pass the version given on the 19th you may
retake a different version during my office hours or by appointment.
Passing on September 19 earns an extra credit bonus equal to 2\% of the
total points available in the course.
General: The course has two
primary aims: to teach you certain topics from linear algebra that were not
covered in Math 250, and to teach you the rigorous foundations of the
subject. We will give precise mathematical definitions of various linear
algebra concepts and will prove some of the many consequences which may be
deduced from these definitions. You will be expected to learn the
definitions precisely, to be able to reproduce some of the simpler proofs,
and to prove new results.
Homework and quizzes: Homework
problems will be assigned weekly via posting on the class web page given
above. The problems are to be handed in at the beginning of the class at
which they are due. Occasional in-class quizzes, announced in advance,
will be given.
Academic Integrity: You may
work cooperatively with other students on homework problems and are
encouraged to discuss these with me. After you have finished discussing a
problem, however, you must write your solution independently, not in
concert with others, that is, your ideas and approach to the problem may
come from discussion, but you should express those ideas in your own words.
You should acknowledge discussions with other students; moreover, if you
consult any source, such as a web page, you must properly acknowledge this,
giving a full citation, and again, your write-up must be in your own words,
not copied from a source. Failure to observe these rules will be
considered a violation of Rutgers' Academic Integrity policies.
Exams: There will be two
in-class exams, on Wednesday, October 12 and Wednesday, November
16. The final exam is on Friday, December 23, from 12:00 to
3:00 PM. DO NOT MAKE PLANE OR OTHER RESERVATIONS
WHICH WOULD CONFLICT WITH THIS EXAM; YOU WILL NOT BE EXCUSED.
Make-up exams will be given only in the case of well-documented illness or
major emergency or (for midterm exams only, and only with permission in
advance) of a major outside commitment.
Grading: Grading will be based
on a weighted average of homework and exams: