Dana Ernst wrote:
I'm almost hesitate to ask this question on here in fear of being overwhelmed
with responses:)
(Jason Grout has already heard me ask similar questions to those that follow,
so I apologize to him in advance.)
I'll be teaching a Numerical Analysis course for the first time in a year and
the plan is to use Sage throughout the course. I'm new to Sage and I'm hoping
that between now and then, I'll be proficient enough to do this. I've never
taught a numerical analysis course, and surprisingly, I've never taken one
either. (What a better way to learn than to teach it!)
I'm curious if people have suggestions on textbooks that you think are particularly well-suited (or not well-suited) for using Sage.
I'm also doing the finishing touches on a master course syllabi that needs to
be approved by our department and university (due Tuesday!). One of the last
things that I need is a general outline/schedule of the form:
Topic A (2 weeks)
Topic B (1 week)
Topic C (3 weeks)
etc.
Having never taught the course, this is difficult to produce. I would love it
if people would be willing to provide a sample outline that may correspond to
your textbook suggestion.
Here are some other potentially useful nuggets of information:
1. This is an undergraduate course.
2. The prerequisites are Calculus II and Linear Algebra.
3. The course is a terminal course (there is not a second semester version of
the course and it is not the prerequisite for any other courses).
4. The students will consist of mostly mathematics majors and a few computer
science majors.
5. Most of the students will have no programming knowledge prior to the
course. However, those that have had me for Calculus II and Abstract Algebra
will (in theory) have had some experience with Sage.
This almost exactly mirrors our Numerical Analysis course, which I am
teaching this semester. The one difference is that all of my students
have taken a beginning programming course (and many of them have much
more programming experience).
Two weeks ago I designed our first Sage lab day. It seemed to be
helpful, even to the seniors in CS. It's still pretty rough, but I can
email it to you if you want. It basically looks at binary number
systems, issues of precision and rounding, etc.
It relies on several patches to RealField, which I have applied to our
campus Sage server. It would be *great* if those were reviewed :).
http://trac.sagemath.org/sage_trac/ticket/7682
Right now, there are 4 failing doctests that I know of, on purpose,
because I'm not exactly sure what the returned results of some corner
cases should be. We could take out the four failing doctests (I added
them to cover corner cases) and put them on #8074, where more corner
case issues are brought up.
The patch is a general cleanup of docs and adds lots and lots of
doctests. It also adds Field-wide printing options, so you can easily
do, for example:
RR.print_options['truncate']=False
to stop RR from rounding a few decimal places so you can actually see
the binary value in RR.
Thanks,
Jason
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