Webpage for last semester

**Instructor:**
Jeffrey Diller (click
for contact info, general policies, etc.)

**Official
Time and place:** MWF 8:30-9:20 AM, Hayes-Healy 125.

**Textbook:
**We'll continue using
*Linear
Algebra Done Wrong *by Sergei
Treil somewhat, but I'll be depending more heavily on other
sources this term. When I talk about ODEs, I'll use Apostol's Calc
books I and II (which I'll put on reserve), but also an online
“minitext”
by Bob Terrell at Cornell. When I discuss operators on inner product
spaces, I'll might follow Axler's book (on reserve) rather than
Treil's in places. For other topics
(e.g. canonical forms), I'm not quite sure yet.

As I did last term, I recommend looking at the following other linear algebra books that I've put on the reserve shelf in the math library:

*Linear Algebra Done Right* by Axler

*Linear Algebra* by Hoffman and Kunze

*Linear Algebra and its Applications* by Lax.

*A Terse Introduction to Linear Algebra* by
Katznelson and Katznelson.

**What
we'll cover:** My plan for this semester is to begin by discussing
operators and linear transformations on inner product spaces,
including the spectral theorems for normal and self-adjoint operators
and the singular value decomposition for more general linear
transformations. Then I'll move on and talk about ordinary
differential equations (henceforth 'ODEs') for several weeks. ODEs
have some interesting connections with linear algebra, so they're not
entirely out of place in this course. This should leave me with a
little less than half the semester to spend. My current plan is to
delve more deeply into the connection between polynomials and linear
operators, getting to (among other things) the notion of Jordan
canonical form. I can probably be talked into doing something else if
you folks unify around some other linear algebra topic you're
interested in (e.g. convexity, linear programming, graph theory, game
theory, etc).

Help sessions: every Monday 7:30-8:30 PM in the partitioned off area in the math library (just like last term).

**How
you will be evaluated **(nothing
new here except the dates and times)**:**

**Homework:**
assigned and collected every Wednesday, worth 50% of your final
grade.

**Midterm
Exam:** Thursday 3/8 from 5:30-7:30, possibly with take home
problems passed out in advance and due at exam time.

**Final
Exam:** Tuesday 5/8 from 8-10 AM, comprehensive
and worth 30% of your final grade. Possibly a take home portion,
too.