Math 152 (Linear Systems), Spring 2019
Common Course Page
- Quick Links: Syllabus,
Textbook, UBC Canvas, MATLAB.
- Individual sections:
- 201, MWF 1-2, MATH 100 (Elyse Yeager)
- 202, TuTh 8-9:30, MATH 100 (Kalle Karu)
- 205, MWF 12-1, ESB 1012 (Yue-Xian Li)
- 206, MWF 12-1, MATH 100 (Kai Behrend)
- 207, MWF 12-1, DMP 301 (Han Hong)
- 208, TuTh 8-9:30, LSK 201 (Amir Maleki)
- Overview:
- 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.
- Grade breakdown for the course:
- WebWork 10%
- Matlab Assignments 10%
- 2 midterm exams worth 15% each
- final exam 50%
- Textbook:
- 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".
- Webwork Assignments:
- Webwork Assignments will be posted online every week on
Fridays and they are due on Mondays (after 10 days) at 10PM.
- There will be eleven assignments. Your lowest mark will
be dropped from the average.
- WeBWorK can be accessed from the UBC Canvas
system.
- Matlab Assignments:
- There will be 6 Matlab assignments posted on Canvas. The
assignments are due on Fridays at midnight, Jan 18, Feb 1,
15, Mar 1. 15, 29. Please see the Canvas page for more
information about Matlab.
- You should all be registered for one of the lab sections
(L2A, L2B, and so on.) All these lab sections are
cancelled. Instead, there will be regularly scheduled
computer labs staffed with TAs. You can go to any of these
labs. You can do the Matlab assignments on your own computer
or on one of the lab computers. The Canvas page contains the
schedule of when the computer labs are available, how to get
a copy of Matlab, how to use Matlab online and much more
information.
- Matlab material will be tested on exams.
- Exams:
- We will have two midterm exams during class hours:
- Tue/Wed, February 5/6. (For TuTh and MWF sections,
respectively.)
- Wed/Thu, March 13/14.
- The final exam is scheduled by the university.
- Students who miss a midterm exam for a valid reason
(official written verification is required) will have their
final mark averaged proportionally over the other course
material.
- No calculators or notes in any exam.
- Detailed Course Outline
- week #1 January 1-4: vectors and coordinate
representation; vector length. Notes sections 2.1, 2.2,
2.3
- week #2 January 7-11: dot product, projection;
determinants; cross product; lines in 2D, lines and planes
in 3D. 2.3, 2.4, 2.5
- week #3 January 14-18: lines and planes (continued);
geometry of solutions of linear systems; linear dependence
and independence; 2.5, 2.6
- week #4 January 21-25: solving linear systems; echelon
form, reduced row echelon form, rank; homogeneous equations.
3.1, 3.2, 3.3
- week #5 January 28 - February 1: homogeneous systems
(continued); geometric applications; resistor networks. 3.3,
3.4, 3.5
- week #6 February 4-8: Midterm #1; matrix multiplication;
linear transformations. 4.1, 4.2
- week #7 February 11-15: rotations, projections and
reflections in 2D; matrix representation and composition of
linear transformations; random walks. 4.2, 4.3, 4.4
- Spring Break: February 18-22
- week #8 February 25-March 1: random walks (continued);
transpose; matrix inverse; determinants. 4.3, 4.4, 4.5,
4.6
- week #9 March 4-8: determinants (cont.); complex numbers;
complex exponential and polar form; 4.6, 5.1, 5.2, 5.3,
5.4
- week #10 March 11-15: Midterm #2; eigenvalues and
eigenvectors 6.1
- week #11 March 18-22: eigenvalues and eigenvectors
(cont.); powers of a matrix; application of eigen-analysis
to random walks. 6.1, 6.2
- week #12 March 25-29: vector differential equations;
application of vector DEs to electrical networks. 6.3,
6.4
- week #13 April 1-4: complete course material; review.