Math 152 (Linear Systems), Spring 2016
Common Course Page
 News:
 Final exam information:
 Review sessions will be held open to all Math 152 students:
 Thursday, April 14, 1:003:00
 Tuesday, April 19, 1:003:00
 These review sessions will be held in room Math 100
 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, not collected for marks.
 Assignment #11 posted, due Monday, April 4, at midnight.
 Midterm #2 solutions:
 T/Th versions:
1 and
2.
 MWF versions:
1 and
2.
 Midterm #1 solutions:
 T/Th versions:
1 and
2.
 MWF versions:
1 and
2.
 New link to lecture overheads in Resource section 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 Tuesday February 9/Wednesday February 10 (in class).
 Test #2 is set for Wednesday March 16/Thursday March 17 (in class).
 Resources:
 Lecture overheads from section 205 can be found
here.
 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).
 Online Notes:
 Online notes are available [updated January 8, 2016]
here
(13.8 MB pdf file, 270 pages) for all 6 chapters. We will be covering
all six chapters, excluding the material listed as "additional topics".
The notes orginally posted are still available
here.
 Additions and Corrections:
 In example 2.15 on pages 3839, the equation form should be 2x1+ x2 = 0.
 Additional notes from Professor Yue Xian Li are available on:
 Additional notes written by Joel Feldman on the
subject of complex numbers are available
here.
 If you find any errors in the notes please let me know
wetton@math.ubc.ca.
 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.

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 48:
vectors and coordinate representation;
vector length, dot product, projection. Notes sections 2.1, 2.2, 2.3
 week #2 January 1115:
determinants;
cross product;
lines and planes in 2D and 3D and planes in 3D. 2.3, 2.4, 2.5
 week #3 January 1822:
geometry of solutions of linear systems;
linear dependence and independence;
solving linear systems. 2.6, 3.1
 week #4 January 2529:
solving linear systems (cont.);
echelon form and rank;
homogeneous equations and relationship to linear dependence;
3.2, 3.3, 3.4
 week #5 February 15:
resistor networks. 3.5
 week #6 February 812:
(Family Day); Test #1;
resistor networks (cont.);
matrix multiplication;
linear transformations. 3.5, 4.1, 4.2
 Reading Week: February 1620
 week #7 February 2226
rotations, projections and reflections in 2D;
matrix representation and composition of linear transformations;
random walks;
transpose. 4.2, 4.3, 4.4
 week #8 February 29March 4:
matrix inverse;
determinants. 4.5, 4.6
 week #9 March 711:
determinants (cont.);
complex numbers;
complex exponential and polar form;
5.1, 5.2, 5.3, 5.4
 week #10 March 1418:
eigenvalues and eigenvectors; Test #2 6.1
 week #11 March 2124:
eigenvalues and eigenvectors (cont.);
powers of a matrix;
application of eigenanalysis to random walks. (Good Friday) 6.1, 6.2
 week #12 March 29April 1: (Easter Monday)
application of vector DEs to electrical networks;
vector differential equations. 6.3, 6.4
 week #13 April 48:
review.