Math 152 (Linear Systems), Spring 2015
Common Course Page
 News:
 Final exam information:
 An overview
of the final exam content and format is available.
 Old final exams (without solutions) are available from our
departmental web site.
 Review problems for midterm #1 are archived
here.
 Review problems for midterm #2 are archived
here.

review problems for the material past the second midterm.
 The Math Learning Centre is open during the exam period for these
hours.
 An online resource to help students prepare for the final exam has
been prepared by graduate students in our department:
Math Educational Resources Wiki. It is free.
 A booklet of old Math 152 exams with solutions is available from the
Mathematics Club, in the Math Annex 1118. There is a fee for the booklet.
This is not an official endorsement.
 Assignment #12 posted, for practice, not marked
 Midterm #1 solutions for
TTh section and
MWF section tests.
 Midterm #2 solutions for
TTh section and
MWF section tests.
Note that some significant justification was required for the B3c mark on the
MWF test.
 Complete
online notes
(3.8 MB pdf file, 258 pages)
are available. Some additional material is also available
below.
 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 5/Friday February 6.
 Test #2 is set for Wednesday March 18/Thursday March 19.
 Resources:
 Dropin 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).
 An optional commercial text, "Introduction to Linear Algenbra
for Science and Engineering," by Norman and Wolczuk is available at the
bookstore. It covers much of the material in the course.
 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:
 Additional notes from Professor Yue Xian Li are available on:
 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.
 If you find any errors in the notes please let me know
wetton@math.ubc.ca.
A list of any corrections will be posted above as they are brought to
my attention.
 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_2015, 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:
 Detailed Course Outline
 week #1 January 59:
vectors and coordinate representation;
vector length, dot product, projection. Notes sections 2.1, 2.2, 2.3
 week #2 January 1216:
determinants;
cross product;
lines and planes in 2D and 3D and planes in 3D. 2.3, 2.4, 2.5
 week #3 January 1923:
geometry of solutions of linear systems;
linear dependence and independence;
solving linear systems. 2.6, 3.1
 week #4 January 2630:
solving linear systems (cont.);
echelon form and rank;
homogeneous equations and relationship to linear dependence;
3.2, 3.3, 3.4
 week #5 February 26:
resistor networks. Test #1 3.5
 week #6 February 913:
(Family Day);
resistor networks (cont.);
matrix multiplication;
linear transformations. 3.5, 4.1, 4.2
 Reading Week: February 1620
 week #7 February 2327
rotations, projections and reflections in 2D;
matrix representation and composition of linear transformations;
random walks;
transpose. 4.2, 4.3, 4.4
 week #8 March 26:
matrix inverse;
matrix representation of resistor network problems;
determinants. 4.5, 4.6, 4.7
 week #9 March 913:
determinants (cont.);
complex numbers;
complex exponential and polar form;
4.7, 5.1, 5.2, 5.3
 week #10 March 1618:
eigenvalues and eigenvectors; Test #2 6.1
 week #11 March 2327:
eigenvalues and eigenvectors (cont.);
powers of a matrix;
application of eigenanalysis to random walks. 6.1, 6.2
 week #12 March 30April 2:
application of vector DEs to electrical networks;
vector differential equations. (Good Friday) 6.3, 6.4
 week #13 April 710:
(Easter Monday) review.