Math 308 N Matrix Algebra (3 credits), Winter 2019
Professor : Rekha Thomas
 Office : Padelford C438
 Email : rrthomas (at) uw (dot) edu
(Please use email only for emergencies such as if you are sick and cannot take a test because of it. Please ask all other questions in class, TA section, or office hours.)
 Office hours :
Monday 3:304:30 BAG 154 (Review style office hours),
Friday 12 PDL C438
Teaching Assistant : Andrew Pryhuber
 Office : Padelford C8M
 Email : pryhuber (at) uw (dot) edu
 Office hours : Wednesday 1012 in PDL C8M
Course Information
 Lecture : Bagley Hall 154, MWF 2:303:20 pm
 TA sections : Smith Hall 105, Tuesdays at 2:30 (NA), 3:30 (NB), 4:30 (NC)
 Course materials :
 Textbook : Linear Algebra with Applications, Second Edition, by Jeffrey Holt
 Videos : These YouTube videos by 3Blue1Brown are an excellent resource for understanding the geometry behind many of the concepts we will learn in this class.
 Professor Gilbert Strang's video lectures on linear algebra. These lectures are based on a course in
linear algebra at MIT. The topics are not exactly aligned with our textbook but you can watch the
appropriate video as we cover the topic in class.
 (Rough) Schedule of lectures and exam archive
The official Math 308 page for the
Deoartment of Mathematics
We will follow this lecture schedule pretty closely. The homeworks and other items will
be customized to this class.

Homeworks and Exams
 Homeworks (20% of overall grade):
There are two types of homework assignments each week.
 WebAssign homework (10% of overall grade): These are problems
from the textbook and mostly give you practice with the basic mechanics
of the course. Here is the link for UW WebAssign login.
 Test prep homework (10% of overall grade): These are
more challenging problems that will be assigned as homework each week.
At least half of every exam will be modeled on these homeworks. Each
student must individually turn in solutions to these problems in class on
WEDNESDAYS. The TA will grade a subset of them for completeness. Please
start each problem on a new page so that the TA can find them easily. You will receive solutions to these problems.
Exams will be modeled closely on the homework problems and
lectures. It would be worthwhile to spend time really understanding
how to do the homework.
 Exams (80% of overall grade):
There will be two midterms and a final exam.
 Midterm I (20% of overall
grade) :
Friday, February 1, in class.
 Midterm II (20% of overall
grade) :
Friday, March 1, in class.
 Final Exam (40% of overall grade) :
2:304:20 p.m. Tuesday, March 19, in class.
Policy for Exams
 One handwritten 8.5 by 11 sheet of notes is allowed. 2sided is OK.
 The only calculator allowed is the Texas Instruments TI30X IIS.
 There are no makeup exams. If you have a compelling and welldocumented reason for missing a test, speak to the professor about it as soon as you can.
 Structure of the course and expectations: : Matrix
algebra is the first course in the math curriculum that introduces a
student to mathematical abstraction. While it still has a lot of
computational and mechanical components it also requires you to make
logical arguments to justify answers. It is a mathematical
language that underlies many modern day applications, but because it
is a language, it is important to learn and use its vocabulary
correctly. Another feature of this subject is that it is deeply rooted
in geometry which is a powerful part of its modeling power. So all in
all this might be a new type of math course for many students, but one
that you can master by putting in the required work and coming to
lectures. The
general expectation is that each hour of lecture needs about three
hours of work outside the classroom to master the material.
The material in this course will be taught through the lectures,
reading assignments (from the textbook), videos and
homeworks .
The lectures introduce the concepts and hence tend to be the most
straightforward. You will be expected to read the appropriate sections
of the textbook to solidify your understanding of the concepts and fill in
the parts not covered in lecture. Attending lectures is
critical for doing well in this class.
Homework will be based on the material taught in class but is intended
to stretch your thinking and teach new concepts. Hence you should not
expect that the homework problems will be entirely like the examples
in the book or problems worked out in lecture. Understanding how to do
the homework problems and learning definitions and vocabulary is
crucial for doing well in this class.
 General Comments
 Guidelines on how to write up solutions to problems on tests
:
You must show all your work to get full credit. Explain your
steps or methods clearly. Use words to give explanations if
needed. After you have written a solution ask yourself if someone else
in the class could follow and understand your solution easily. Always
put yourself in the shoes of the grader when you write solutions to
problems. It is important that it be apparent to the grader that you
did this work on your own and that he/she understands your logic. Make
it easy to grade your work. This also requires you to be organized and
clear in your writing. Writing that is hard to understand or
disorganized will be assumed to be wrong.
 Makeups: : There are no makeup exams. If you have a
well documented medical excuse, please talk to me as soon as possible.
 Partial Credit: There might be questions on exams that
carry no partial credit. This is usually because of the nature of the
question where a partially correct answer may make no sense at
all. For instance, a misstated definition is just a false
statement and couldn't be graded with partial credit. It is important
to learn to do computations and make arguments correctly from
beginning to end.
 Keep records : Please hold on to all your graded work
until you receive your final grade. You
will be asked to produce these if there are any questions or
complications regarding records during the quarter.
 Tips on getting a good grade:
 Read the assigned reading materials and attend lectures. It is
very important to really understand the concepts (as opposed to
memorizing facts). It is not enough to know recipes to solve numerical
problems. You will be asked questions that test your understanding of
the material. A good way to find out whether you really understand
something is to try to explain it to someone. You might be surprised
to see how hard it is to accurately explain/reproduce a concept that
you think you understand.
 Write clearly and correctly. Be logical in your arguments. Learn
definitions and statements of theorems accurately. Remember that I can
only evaluate your written work and so it is important to convey your
knowledge precisely in your writing.
 Do the homework problems. Even if you understand the material, it
is hard to reproduce this on a test without practice. It's important
to learn to work relatively quickly. This can only come with
practice.
 Come to office hours if you are having
trouble. Let me or your TA know early in the quarter if you are having problems
with the course for whatever reason.
Weekly Assignments
Overview: Week 1 (Jan 711)
Readings from the textbook:
Section 1.1: Lines and linear equations
Section 1.2: Linear systems and matrices
Section 2.1: Vectors (read at home, you have seen some of it in Math 126)
Video to watch:
Essence of linear algebra
Homework based on this week's lectures:
due this week
(due 1/9 in class) Test Prep Problems
(due 1/11) WebAssign homework from Section 1.1 [UW WebAssign login]
due next week
(due 1/16 in class) Test Prep Problems
(due 1/16) WebAssign homework from Section 1.2
(due 1/16) WebAssign homework from Section 2.1
WebAssign set up help in the Math Study Center
WebAssign people will be present to help with access and code issues
 Thursday, January 10 from 11AM  3PM
 Monday, January 14 from 11AM  3 PM
Overview: Week 2 (Jan 1418)
Readings from the textbook:
Section 2.1: Vectors
Section 2.2: Span of vectors
Section 2.3: Linear independence
Video to watch:
Vectors
Linear combinations, span, bases
Homework based on this week's lectures:
due this week
(due 1/16 in class) Test Prep Problems
(due 1/16) WebAssign homework from Section 1.2
(due 1/16) WebAssign homework from Section 2.1
due next week
(due 1/23 in class) Test Prep Problems
(due 1/23) WebAssign homework from Section 2.2
(due 1/23) WebAssign homework from Section 2.3
Overview: Week 3 (Jan 2225)
Readings from the textbook:
Section 2.3: Linear independence (up to page 83)
Section 3.1: Linear transformations
Video to watch:
Linear combinations, span, bases
Linear transformations
Homework based on this week's lectures:
due this week
(due 1/23 in class) Test Prep Problems
(due 1/26) WebAssign homework from Section 2.2
(due 1/26) WebAssign homework from Section 2.3
due next week
(due 1/30 in class) Test Prep Problems
Overview: Week 4 (Jan 28 Feb 1)
Midterm I on Feb 1 in class
Covers Chapters 1 & 2
Readings from the textbook:
3.1: Linear transformations
3.2: Matrix algebra (read until transposes)
Video to watch:
Linear transformations
Matrix multiplication
Threedimensional linear transformations
Homework based on this week's lectures:
due this week
(due 1/30 in class) Test Prep Problems
due next week
(due 2/8 in class) Test Prep Problems
(due 2/8) WebAssign homework from Section 3.1
(due 2/6) WebAssign homework from Section 3.2
Review
Practice Quiz
Solutions to Practice Quiz
Read about Arthur Cayley
Overview: Week 5 (Feb 4  8)
Readings from the textbook:
Section 3.1: Linear transformations
Section 3.3: Inverses (until pp 137)
Video to watch:
Matrix multiplication as composition
Nonsquare matrices as transformations between dimensions
Homework:
due this week
(now due 2/13 in class) Test Prep Problems
(due 2/8) WebAssign homework from Section 3.1
(due 2/6) WebAssign homework from Section 3.2
due next week
(due 2/13) WebAssign homework from Section 3.3
(OPTIONAL) Test Prep Problems
Overview: Week 6 (Feb 1115)
Readings from the textbook:
Section 5.1: Determinants
Section 5.2: Properties of determinants
Video to watch:
Determinants
Strang video on determinants
second Strang video on determinants
Homework:
due this week
(due 2/13) WebAssign homework from Section 3.3
(now due 2/13 in class, was due Feb 6, then Feb 8) Test Prep Problems
(OPTIONAL) Test Prep Problems
(due 2/16): WebAssign homework from Section 5.1
(due 2/16): WebAssign homework from Section 5.2
due next week
Test Prep Problems
Overview: Week 7 (Feb 1922)
Readings from the textbook:
Section 4.1: Subspaces
Section 4.2: Bases and Dimension
Video to watch:
Inverses, column space, rank and nullspace
Linear transformations with nonsquare matrices
Homework: (due 2/27)
WebAssign homework from Section 4.1
WebAssign homework from Section 4.2
Test Prep Problems (do only problems 13)
Overview: Week 8 (Feb 25  Mar 1)
Midterm 2 on 3/1 on Chapters 3, 5 and 4.14.2
Readings from the textbook:
Section 4.3: Row and column spaces
Homework: (due 3/6)
WebAssign homework from Section 4.3
WebAssign homework from Section 6.1 (postponed to March 13)
Test Prep Problems (do problems 46)
Homework: (due 3/9)
WebAssign homework from Section 4.4 (due Saturday March 9)
Overview: Week 9 (Mar 48)
Readings from the textbook:
Section 4.4: Change of basis
Section 6.1: Eigenvalues and eigenvectors
Video to watch:
Eigenvalues and eigenvectors
Change of bases
Homework: (due 3/13)
WebAssign homework from Section 6.1
Homework: (due 3/15)
WebAssign homework from Section 6.2
Test Prep Problems
Overview: Week 10 (Mar 1115)
Material to finish and readings from the textbook:
Section 6.16.2
Video to watch:
Eigenvalues and eigenvectors
Homework: (due 3/13)
WebAssign homework from Section 6.1
Homework: (due 3/15)
WebAssign homework from Section 6.2
Test Prep Problems
Office hours until the final exam
Monday Mar 11 : 3:204:20 BAG 154
Wedensday Mar 13 : 1012 in Andrew's office PDL C8M
Friday Mar 15 : 12 PDL C438
Friday Mar 15 : 3:304:20 BAG 154
Monday Mar 18 : 14 PCAR 293
Final exam on Tuesday Mar 19: 2:304:20 p.m BAG 154 (usual classroom)