Math 152 (Linear Systems), Spring 2018
Common Course Page
- The textbook 'Introduction to Linear Algebra for Science and
Engineering' by Daniel Norman is now on course reserve in the
library. The book covers similar material to our course and it
is a good source for additional practice problems.
- Elyse Yeager has compiled a list of things that you should know for
the first midterm exam.
- Individual sections: (click on the section number)
MWF 1-2, MATH 100 (Yilmaz).
- 202, TuTh 8-9:30, MATH 100
- 205, MWF 12-1, WOOD 2 (Tanne)
MWF 12-1, MATH 100 (Yeager)
MWF 12-1, MCLD 228 (M), CHEM C126 (WF) (Bade)
TuTh 8-9:30, LSK 201 (Macdonald)
- Math 152 is a first course in linear algebra. It
emphasizes geometry in two and three dimensions,
applications to engineering and science problems and
practical computations using MATLAB. A detailed week by week
outline can be found below.
- Course learning goals.
- Drop in math help at
- Grade breakdown for the course:
- WebWork 10%
- computer labs 10%
- 2 midterm exams worth 15% each
- final exam 50%
- We will be using online lecture notes specifically written for
this course. We will cover all six chapters, excluding
the material listed as "additional topics".
- Additional notes from Professor Yue Xian Li are available
- Additional notes written by Brian Wetton on the subject
of complex numbers are available here.
- WebWork Assignments:
- WebWork Assignments are posted online every week on
Fridays and have a deadline for submission on Monday (after
10 days) at 10PM.
- There will be eleven assignments. Your lowest mark will
be dropped from the average.
- WebWorK assignments can be accessed from the UBC connect system. Here is a direct
link to WebWork.
- 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 exams.
- Lab assignments are posted on the UBC connect system. Lab reports are
also submitted in this system.
- Lab reports are due on Fridays 10PM.
Late submissions are accepted one week after the deadline
for 50% of marks.
- Lab 1: Jan 26
- Lab 2: Feb 9
- Lab 3: Mar 2
- Lab 4: Mar 16
- Lab 5: Mar 30
- Lab 6: Apr 6
- UBC has a site license for MATLAB. Registered students
can download it on their own computers. Detailed
instructions can be found here.
- We will have two evening midterm exams:
- Thu, February 8, 6-7PM
- Thu, March 15, 6-7PM.
- The final exam is scheduled by the university.
- Students that miss midterm exams for a valid reason
(official written verification is required) will have their
final mark averaged proportionally over the other course
- No calculators or notes for exams.
- Piazza is a discussion forum for asking questions about
homeworks, labs, exams and other course related material.
There are no TAs or instructors who will monitor the forum
regularly and answer questions. We hope students themselves
can help other students, but please avoid giving away the
whole solution to homework and lab problems.
- Piazza can be accessed from the Connect page. Here is a
direct link to signup
page and Math
152 page on Piazza.
- Detailed Course Outline
- week #1 January 3-5: vectors and coordinate
representation; vector length. Notes sections 2.1, 2.2,
- week #2 January 8-12: dot product, projection;
determinants; cross product; lines in 2D, lines and planes
in 3D. 2.3, 2.4, 2.5
- week #3 January 15-19: lines and planes (continued);
geometry of solutions of linear systems; linear dependence
and independence; 2.5, 2.6
- week #4 January 22-26: solving linear systems; echelon
form, reduced row echelon form, rank; homogeneous equations.
3.1, 3.2, 3.3
- week #5 January 29 - February 2: homogeneous systems
(continued); geometric applications; resistor networks. 3.3,
- week #6 February 5-9: Midterm #1; matrix multiplication;
linear transformations. 4.1, 4.2
- week #7 February 12-16: (Monday holiday) rotations,
projections and reflections in 2D; matrix representation and
composition of linear transformations; random walks.
4.2, 4.3, 4.4
- Spring Break: February 19-23
- week #8 February 26-March 2: random walks (continued);
transpose; matrix inverse; determinants. 4.3, 4.4, 4.5,
- week #9 March 5-9: determinants (cont.); complex numbers;
complex exponential and polar form; 4.6, 5.1, 5.2, 5.3,
- week #10 March 12-16: Midterm #2; eigenvalues and
- week #11 March 19-23: eigenvalues and eigenvectors
(cont.); powers of a matrix; application of eigen-analysis
to random walks. 6.1, 6.2
- week #12 March 26-30: (Friday holiday) vector
differential equations; application of vector DEs to
electrical networks. 6.3, 6.4
- week #13 April 2-6: complete course material; review.