MAT247

Final Notes:
1] The final exam is generally on Section 2.6, Chapters 6, 7 of the
"Linear Algebra", and chapters 1-10 of "Groups and Symmetry".
2] In more detail, the material includes everything that was tested on
in the two midterms (see the previous announcements below), as well as the
following, given with respect to the fourth edition: Section 6.5 -
also the part from pages 386 on (so all of this section - although its later
parts have been done more comprehensively in sections 6.8 and 6.11),
Section 6.11 - mostly the definition and the content of theorems, without
the proofs, and Chapters 1-10 of "Groups and Symmetry". See more comments
below.
3] You are exempt from studying for the exam some of the material covered
in the course, namely: in "Linear Algebra", Section 7.4, the extra material
of the last assignment on Complexification, the Rayleigh quotient material
of Section 6.10 and Theorem 6.28 on page 411.
4] Furthermore, in "Groups and Symmetry", Chapter 10 was covered mostly
with an eye to understanding the (full) symmetry group of Platonic solids,
rather than for its own sake. Also, there were no assignments for the group
theory. You can use problem sets from the book for practice. An effort will
be made to keep the part of the exam relevant to group theory elementary.
5] As usual, concentrate on concepts, definitions, applications of theorems,
connections between different parts of it, and perhaps proofs of short parts
of the theorems, rather than on the longer proofs.
6] [This is an update of an older announcement:].
I will be away until the night of December 12, with sporadic email
contact. Arthur Fischer will be giving lectures on the last week on Section
7.4. This material is not included in the exam, but can serve to some degree
as a review of sections 7.1-2, and is quite interesting. He will also try to
give a question-and-answer session, if time permits.
7] Even though we ran out of time with written solutions to every problem,
copies of solutions of the two midterms (written with some haste, so
take with a grain of salt) are now available with Arthur. Contact him on
how to obtain them.
8] Study well, and good luck!

Older Announcements:
1] The second midterm will take place on November 20 in class (at 1). The material
for it in the book (as usual, with respect to the 4th edition):
section 6.3 - pp. 360-363 (least squares approximation),
section 6.6 - pp. 400-404 (spectral theorem, including Theorem 6.24),
section 6.8 (i.e. quadratic and bilinear forms), sections 7.1, 7.2, 7.3.
2] Tuesday, November 18 at 1 in RW143, there will be a class, instead of the regular tutorial.
After it I will be giving an extra office hour.
3] Material covered in the coming weeks on Group Theory from Armstrong's book
will include Chapters 2-9, and a selection from chapters 15-19 and 22-23.
4] On the week of Dec. 1 - 5 I will be away. Except possibly for one class hour,
on which a later announcement will come, class is cancelled for that week.
5] Assignment 7 is now posted, please note that it contains material not in the book.

Oldest Announcements:
1] The first midterm will take place on October 16 in class (at 1). The material
for it in the book: sections 2.6, 6.1, 6.2, 6.3 up to and incluing page 360,
6.4, 6.5 up to and including page 385, 6.6 - only the concept of a projection and an
orthogonal projection (up to and not including Theorem 6.24).
2] Tuesday, October 14 at 1 in RW143, there will be a class, instead of the regular tutorial.
3] Assignment 3 has been postponed for a second time: it can alternatively be
handed in on October 7 in the tutorial; additionally, problem 20a (4th
edition) of Section 6.3 is cancelled.
4] The office hour for Arthur Fischer is now Monday 12-12:30
in SS623A. Eventually this will ensure a higher percentage of the
grading, at least starting from the fourth assignment.