Math 152 (Linear Systems), Spring 2017
Common Course Page
 News:
 Final exam information:
 An overview
of the final exam content and format is available.
 Question and answer sessions given by the course instructors
will be given. Every session is open to students in every lecture section.
 Friday April 7, 1112, SCRF 100 (Solymosi)
 Friday April 7, 12, BUCH A101 (Yaeger)
 Monday April 10, 1112, SCRF 100 (Li)
 Monday April 10, 12, SCRF 100 (Iyaniwura)
 Monday April 10, 23, SCRF 100 (Wetton)
 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.
 Assignment #12 posted on connect, not collected for marks.
 Assignment #11 posted on connect, due Monday,
April 3, at midnight.
 Midterm #2 solutions:
Version A,
Version B.
 Midterm #1 solutions:
Version A,
Version B, and
Version C.
 A course outline
is available.
 Online notes for the class are found 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 Wednesday February 8/Thursday February 9 (in class).
 Test #2 is set for Thursday March 16/Friday March 17 (in class).
 Resources:
 Section lecture notes, that may be helpful to students in other sections:
 Slides from section 205 are available
here.
 Handwritten notes for the lectures for section 206 are posted,
link to that section on the left.
 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
here.
We will be covering
all six chapters, excluding the material listed as "additional topics".
 Additions and Corrections:
 Corrections:
 There is a typo on page 24, example 2.7, the last line.
It should read proj_b a instead of proj_a b.
 The solution to problem 3.32 on p.123124 is confused. It is not clear
what problem is being solved here.
 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.
 The first lab is due Friday, January 20 at midnight.
Later labs are due at midnight on the day of your scheduled lab.
 UBC has a site license for MATLAB.
Registered students can download it on their own computers.
Detailed instructions can be found here
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 26:
vectors and coordinate representation;
vector length.
Notes sections 2.1, 2.2, 2.3
 week #2 January 913:
dot product, projection;
determinants;
cross product;
lines and planes in 2D and 3D and planes in 3D.
2.3, 2.4, 2.5
 week #3 January 1620:
lines and planes (continued);
geometry of solutions of linear systems;
linear dependence and independence;
2.5, 2.6
 week #4 January 2327:
solving linear systems;
echelon form, reduced row echelon form, and rank;
homogeneous equations.
3.1, 3.2, 3.3
 week #5 January 30  February 3:
homogeneous systems (continued); geometric applications;
resistor networks.
3.3, 3.4, 3.5
 week #6 February 610:
Midterm #1;
matrix multiplication;
linear transformations.
4.1, 4.2
 week #7 February 1317: (Monday holiday)
rotations, projections and reflections in 2D;
matrix representation and composition of linear transformations;
random walks.
4.2, 4.3, 4.4
 Reading Week: February 2024
 week #8 February 27March 3:
random walks (continued); transpose; matrix inverse;
determinants.
4.3, 4.4, 4.5, 4.6
 week #9 March 610:
determinants (cont.);
complex numbers;
complex exponential and polar form;
4.6, 5.1, 5.2, 5.3, 5.4
 week #10 March 1317:
Midterm #2;
eigenvalues and eigenvectors
6.1
 week #11 March 2024:
eigenvalues and eigenvectors (cont.);
powers of a matrix;
application of eigenanalysis to random walks.
6.1, 6.2
 week #12 March 2731:
vector differential equations;
application of vector DEs to electrical networks.
6.3, 6.4
 week #13 April 37: (No Friday class) complete course material;
review.