**Overview:**- The course concerns
linear algebra concepts, stressing their application and their connection
to geometry. A detailed week by week outline of the material can be found
below.
- Online notes for the
class are found below. These notes will be used for the course instead of
a commercial textbook.
- Other resources to help
you with the course material are available, listed below.
- Webwork Assignments are posted
online every week on Fridays and have a deadline for submission of Monday
(after 10 days) at midnight.
- Students are
responsible for completing six one hour computer labs using the software,
MATLAB.
- Grade breakdown for the
course:
- homework (WebWork) 10%
- computer labs 10%
- 2 midterm tests worth
15% each
- final exam 50%
- There will be a common
final exam. Midterm marks may be scaled to each section's average on the
final exam (this scaling may be done in blocks of sections). More details
on test and exams can be found below.
- Test #1 is set for
Thursday February 4/Friday February 5.
- Test #2 is
set for Wednesday March 16/Thursday March 17.
**Resources:**- Drop-in tutoring
provided by the Mathematics Department is available in the Math Learning
Centre, details can be found here.
- Course learning goals are available.
This document may help you understand what we want you to understand from
this course (and why).
**Online Notes:**- Online notes are
available here (3.8 MB pdf file, 258 pages) for all 6
chapters. We will be covering all six chapters, excluding the material
listed as "additional topics".
- Additions and
Corrections:
- An addition to the
Chapter 3 notes describing the checksum technique for making hand
calculations of Gaussian Elimination more reliable can be found here
(written by Joel Feldman).
- More additional notes
written by Joel Feldman on the subject of complex numbers are available here.
- Additional notes to
Chapter 5 concerning the calculation of determinants and inverses and
the solution of linear systems with complex coefficients can be found here.
**Webwork****Assignments:**- Webwork Assignments are posted
online every week on Fridays and have a deadline for submission of Monday
(after 10 days) at midnight.
- There will be eleven
assignments. Your lowest mark will be dropped from the average.
- WeBWorK assignments are posted
on the UBC connect system.
- A WeBWorK
tutorial, Assignment00_2016, will soon be posted. This will help you
learn the syntax to enter answers for the WeBWorK
assignments of the course. This tutorial has no due date and is not worth
marks.
**Computer Labs:**- Computer labs using the
mathematical software package MATLAB begin in the second week of classes.
Each student does a lab every two weeks, starting in the second or third
week. Look at your lab section registration information to see where your
lab will be held and what week you start.
- MATLAB material will be
tested on midterms and exams.
- The lab
assignments are posted on the UBC connect
system. Submissions are also done in this system in .doc format.
- Labs are due at
midnight on the day of your scheduled lab.
- UBC has a site license
for MATLAB but it (unfortunately) does not include versions for students'
personal computers. Some information about MATLAB and how to download and
use a freeware clone called Octave is available here.
- The lab rooms are
available for your use outside of your lab hour. A schedule for the labs
is posted here. Whenever there
is nothing listed here, the room is free for your use.
**Tests and Exam:**- Students
that miss term tests for a valid reason (official written verification is
required) will have their final mark averaged proportionally over the
other course material.
- No
calculators or notes (closed book) for tests and exams.
- There
will be common tests, different for the T/Th
and the MWF sections. Test dates and details:
- Test
#1 Thursday February 4/Friday February 5. Some tests from previous years
are given below. Note that some questions on these old tests are on
material that is not on this year's first midterm.
- Review
problems for midterm #1 are archived here. Note that these review
problems are not necessarily similar to questions you will have on your
tests and exams this year. Rather, they are designed to help you
understand the material. See the old posted tests below for some
examples of the type of questions that will be on your tests this year.
- Practise
test #1 and solutions.
- Solutions to the
tests from 2008: TTh
and MWF tests.
- Solutions to the
tests from 2009: TTh
and MWF.
- Solutions to the
tests from 2010: TTh
and MWF.
- Solutions to one of
the tests from 2011: here.
- Solutions to the
tests from 2012: TTh and MWF.
- Solutions to the
tests from 2014: TTh and MWF tests.
- Test #2 Wednesday
March 16/Thursday March 17. Some tests from previous years are given
below. Note that some questions on these old tests are on material that
is not on this year's second midterm.
- Review problems from
test #2 are archived here.
- Practise
test #2 and solutions.
- Solutions to tests
from 2008: TTh (the
test itself is here) and MWF tests.
- Solutions to 2009
tests: TTh
and MWF.
- Solutions to 2010
tests: TTh and MWF (Correction: in A1 the product
BC is also defined).
- Solutions to one of
the tests from 2011: here.
- Solutions to the
tests from 2012: TTh and MWF.
- Solutions to the
tests from 2014: TTh
and MWF tests.

- January 4-8: vectors
and coordinate representation; vector length, dot product, projection.
*Notes sections 2.1, 2.2, 2.3* - January 11-15:
determinants; cross product; lines and planes in 2D and 3D and planes in
3D.
*2.3, 2.4, 2.5* - January 18-22: geometry
of solutions of linear systems; linear dependence and independence; solving
linear systems.
*2.6, 3.1* - January 25-29: solving
linear systems (cont.); echelon form and rank; homogeneous equations and
relationship to linear dependence;
*3.2, 3.3, 3.4* - February 1-5: resistor
networks.
__Test #1__*3.5* - February 8-12: (Family
Day); resistor networks (cont.); matrix multiplication; linear
transformations.
*3.5, 4.1, 4.2*

Reading Week: February 15-19

- February 22-26
rotations, projections and reflections in 2D; matrix representation and
composition of linear transformations; random walks; transpose.
*4.2, 4.3, 4.4* - Feb 29-March 4: matrix
inverse; matrix representation of resistor network problems;
determinants.
*4.5, 4.6, 4.7* - March 7-11:
determinants (cont.); complex numbers; complex exponential and polar
form;
*4.7, 5.1, 5.2, 5.3* - March 14-18:
eigenvalues and eigenvectors;
__Test #2__*6.1* - March 21-24:
eigenvalues and eigenvectors (cont.); powers of a matrix; application of eigen-analysis to random walks. (Good Friday)
*6.1, 6.2* - March 29-April 1: (Easter
Monday) application of vector DEs to electrical networks; vector
differential equations.
*6.3, 6.4* - April 4-8: review.