
Math 307101 Home Page, Fall 2013
This is a second course in linear algebra, whose goal is to
introduce numerous applications and some practical aspects
of linear algebra. In addition, some computation will be done
in Matlab.
We assume that you have taken one semester of linear algebra
(e.g., Math 152, 221, or 223).
The midterm will be given during class time on
October 25; location to be announced (probably not Buch B215).
Secondary Page 
This webpage is the course homepage for Math 307101. A
secondary Math 307101 webpage
has more details.

News 
September 3, 2013: Note that I am often adding more sample exam
problems. It is also, in principle, that I will modify a problem to look
more like an exam problem, or even delete a problem if it isn't realistic.
Hence the problem numbers will change over time. I'll try to figure out
a better way. Any suggestions (to jf at math dot ubc etc.)?
September 6, 2013: Homework must be submitted on 8 1/2 x 11 (i.e.,
"letter size") paper,
to fit in an envelop of slightly larger dimensions,
and written (or printed out) in dark ink or pencil.
September 8, 2013:
Homework 1 is now set in stone.
The homework grading scheme and
instructions now appear on the course
detailed web page;
Problem 1 of Homework 1 is due on Monday, September 16;
Problems 26 will be due one week from when undergraduate computer
accounts are set up (perhaps due on September 16, perhaps later).
September 10, 2013:
These
Sept 11 slides have
just a few pages.
September 15, 2013:
Migrating to Beamer/LaTeX PDF slides,
as of September 16;
September 16 slides are now
(more or less) ready; some material, including the first slide
after the title, are for me (the instructor) rather than the
students.
Exam problems (additions and standalone version) and
class notes currently under revision/restructuring.

Slides 
Here are some skeletal files which I discuss during the
computer part of
class:
September text files:
4 ,
6 ,
9 ,
11 ,
13 .
We are switching to beamer/latex pdf files!
September beamer/latex pdf files:
13 ,
16 .

Class Schedule: Computer & Blackboard 
Buchanan B215, MWF, 1:001:50pm.
Generally class is scheduled as follows:
 12:45pm : I will generally arrive five minutes before setting up,
and be available for brief questions in the lounge opposite the doors
of Buch B215. Please speak softly.
 12:50pm to 1:00pm : I will set up the computer demos for class
and review my notes;
I am
generally
unavailable for questions at this time.
 1:00pm to 1:10pm :
Computer Part:
Matlab calculations for class and homework, give some text
slides with important notes and rough outline of class.
The time 1:10pm is rough; at times it will be a bit shorter or longer.
The Matlab demo may be interactive and is not set in stone in
advance; for example, I may take student questions and comments
and perform some computations to address such feedback.
 1:10pm to 1:50pm :
Blackboard Part:
Discuss new material and go over sample exam problems on the blackboard.
Which sample exams we cover and other aspects of this
discussion are not set in stone in advance; I will give you a plan
beforehand on some slides (you may wish to print this out before class).
The plan may be modified "on the fly" based on student questions and comments.
 1:50pm :
I gather my materials and will be avaible for brief questions
outside the classroom in the lounge area. Please speak softly.
Here are
more details,
including holidays, midterm location, and office hours
.

Required Text 
The main text is the following
online set of notes;
the text's
appendix
is a good place to start, as it describes which parts were covered on
which dates.
We will use some free material from
Experiements with MATLAB, by
Cleve Moler,
and his
exm toolbox.

Recommended Text 
Firstsemester linear algebra will be reviewed only briefly.
I will suggest review problems
from
3,000 Solved Problems in Linear Algebra by Seymour Litschutz.
However, this material should not be new, and your materials
from Math 152, 221, and 223 should suffice.

Recommended Software 
I will assign computational homework in Matlab, with some sample
code in Matlab;
you will be given undergraduate math lab accounts for
Matlab (version R2009a).
It may be more practical to purchase
the student version of Matlab from
the UBC Bookstore for $120; I will demo this version in class
(student version R2013a),
and, at times, Matlab on a command line (version R2009a).

Other Software 
You may also use any version of Matlab, or
any software (e.g., Maple, Octave, Mathematica, Fortran packages,
C packages, etc.).
You will not be examined on Matlab, but will be examined on the results
of the computational homework.

More Info 
Here is a link to a more
detailed webpage on Math 307,
including sample exam problems, office hours,
homework, grading policy, etc.

What's New This Year 
This course may differ from previous versions of Math 307 and previous
math courses you have taken, in that this course will:

be problem based:
This year's course will be largely problem based. I will supply a bunch
of sample final exam problems, and we will work towards these problems
in class and homework.

require critical thinking:
This math course will show you that most real world math problems
have many solutions, and options; you will be required to think critically,
and explain on homework and exams, for example,
which norm, or which algorithm, is most appropriate to various
problems. Math, in the real world, is not "one size fits all."

have new applications this year: we will cover a few new applications
this year, such as
(1) (2,7) codes, (2) Laplacian and harmonics in music,
(3) how condition numbers tell you about "bad situations" in interpolation
(this happens in polynomial interpolation, y=poly(x), when two observed
x values are very close).
Accordingly, we will cover fewer applications from Chapters 14 of the
notes.

