Math 152 (Linear Systems), Spring 2014
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 sessions will be held open to students from all sections
Monday, April 14:
 111 in HENN 200
 79pm in MATH 100
These are based on the review problems below or any questions you bring
to the TA.
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.
 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.
 Midterm #2 solutions available for
TTh and
MWF tests.
 Some additional notes from Professor Yue Xian Li posted below.
 Midterm #1 solutions available for
TTh and
MWF tests.
 Online notes for 2014 are posted 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 January 30/Friday January 31.
 Test #2 is set for Thursday March 13/Friday March 14.
 Resources:
 Dropin tutoring provided by the Mathematics Department
is available, 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_2014, has been 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 does not currently have a site license for MATLAB (although that
may change this year). 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 610:
vectors and coordinate representation;
vector length, dot product, projection. Notes sections 2.1, 2.2, 2.3
 week #2 January 1317:
determinants;
cross product;
lines and planes in 2D and 3D and planes in 3D. 2.3, 2.4, 2.5
 week #3 January 1925:
geometry of solutions of linear systems;
linear dependence and independence;
solving linear systems. 2.6, 3.1
 week #4 January 2731:
solving linear systems (cont.);
Test #1. 3.2
 week #5 February 37:
echelon form and rank;
homogeneous equations and relationship to linear dependence;
resistor networks. 3.3, 3.4, 3.5
 week #6 February 1014:
(Family Day);
resistor networks (cont.);
matrix multiplication;
linear transformations. 3.5, 4.1, 4.2
 Reading Week: February 1721
 week #7 February 2428
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 37:
matrix inverse;
matrix representation of resistor network problems;
determinants. 4.5, 4.6, 4.7
 week #9 March 1014:
determinants (cont.);
complex numbers;
Test #2. 4.7, 5.1, 5.2
 week #10 March 1721:
complex linear systems;
eigenvalues and eigenvectors. 5.1, 5.2, 6.1
 week #11 March 2428:
eigenvalues and eigenvectors (cont.);
powers of a matrix;
application of eigenanalysis to random walks. 6.1, 6.2
 week #12 March 31April 4:
application of vector DEs to electrical networks;
vector differential equations. 6.3, 6.4
 week #13 April 78:
review.