Math 308 P
Matrix Algebra with Applications
Winter, 2019
Professor: Robin Graham
 Office: Padelford C549
 Email: robin@math.washington.edu
 Office hours:
Monday 1:302:30, Wednesday 2:303:30, or other times by appointment
Teaching Assistant: Jacob Richey
 Office: Padelford C8K

Email: jfrichey@uw.edu
 Office hours: Thursday 24, or other times by appointment
Lectures: Bagley 154, MWF 12:301:20
TA Sections: Mary Gates Hall 271, Tuesdays at 1:30 (PA), 2:30 (PB),
3:30 (PC)
Course Content: Math 308 is an introductory course in linear
algebra intended for students in engineering, mathematics, and the
sciences. Topics will include systems of linear equations, vectors
in Euclidean space, matrices, subspaces, determinants,
eigenvalues, eigenvectors, and applications.
This course will probably be unlike other math
courses you have had before. It involves some abstract reasoning and
logical arguments to justify answers in addition to computational methods.
It is particularly important to focus on learning the vocabulary and how to
use it correctly. Many of the ideas can be interpreted geometrically which
helps develop intuition. The subject has applications in many different
areas which we will also explore.
Text: 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. Links to the relevant videos will be posted in the weekly
assignments.
Homework: There will be two kinds of homework assignments:
 Webassign: Homework problems from the textbook will be
assigned, collected, and graded online via
Webassign. You have two options for purchasing access to Webassign:
with an electronic copy of the text either online from Webassign
or from the University Bookstore, or with a physical copy of the book from
the University Bookstore. Webassign homework will be due at 11pm on
each Thursday of the quarter. Each Webassign assignment typically
covers problems from several sections of the text. I urge you to work on
the Webassign problems after each lecture rather than waiting until just
before they are due to do them all. The lectures will make a lot more
sense if you are keeping up with the Webassign homework along the way.
The first Webassign assignment will be due at 11pm on Thursday, January
10.
 Conceptual Problems: Each week except for exam weeks, a
set of Conceptual Problems will be posted in the Weekly Assignments
below. The TA sections on Tuesdays
will be devoted to discussing the Conceptual Problems (and review
problems on exam weeks). Each student must individually turn in their
own solutions to these problems in lecture on Wednesday. The TA
will grade a subset of the homework papers, and they will be
returned. Please start each problem on a new page so that the TA can
find them easily. The first Conceptual Problem set is due on
Wednesday, January 9. This first "set" has only one problem.
 Extensions or extra submissions on homework will not be allowed. You may
miss up to 10% of the total number of Webassign points during the quarter
without penalty to your grade.

The homework is the most important part of the course and it is very
important that you keep up with the homework.
Exams: There will be be two midterm exams and a final exam:
 Midterm 1: Wednesday, January 30
 Midterm 2: NEW DATE: Wednesday, March 6
 Final Exam: Thursday, March 21, 8:3010:20 am
 Exam Policy:
 One 8.5 x 11 sheet of handwritten notes (both sides) is allowed.
 The only calculator allowed is the Texas Instruments TI30X IIS.
 You may not share a calculator nor a note sheet with another student on an exam.
 Bring your Husky card (picture ID) to each exam so I can check you are
who you are supposed to be.
 MakeUps: There are no makeup exams. If you have a conflict
with an exam because of religious holidays
or participation in university sponsored activities (such as a class
field trip or athletics), speak to Prof. Graham about it at least one
week before the exam. You will be required to provide documentation for
your absence.
Grading: Your grade will be based on a total obtained as follows:
Webassign Homework 
10% 
Conceptual Problems Homework 
10% 
Midterm 1 
20% 
Midterm 2 
20% 
Final Exam 
40% 
Math 308 P Course Schedule: The schedule is being adjusted because
of the Snow Days. See the weekly assignments below.
Department of
Mathematics Math 308 webpage contains more Conceptual Problems and an
archive of old exams.
Weekly Assignments
Week 1 (Jan 711)
Readings from the textbook:
Section 1.1: Lines and linear equations
Section 1.2: Linear systems and matrices
Video:
Essence of linear algebra
Homework:
Conceptual
Problems #1 Due in lecture Wednesday, January 9.
WebAssign Homework Due Thursday, January 10, 11pm
WebAssign support in the Math Study Center:
WebAssign support staff will be present to help with access and code
issues at these times.
 Thursday, January 10 from 11AM  3PM
 Monday, January 14 from 11AM  3 PM
Week 2 (Jan 1418)
Readings from the textbook:
Section 2.1: Vectors
Section 2.2: Span
Section 2.3: Linear Independence
Video:
Vectors
Linear combinations, span, bases
Homework:
Conceptual
Problems #2 Due in lecture Wednesday, January 16.
WebAssign Homework sections 1.2, 2.1, Due Thursday, January 17, 11pm
Week 3 (Jan 2125)
Readings from the textbook:
Section 2.3: Linear Independence
Section 3.1: Linear Transformations
Video:
Linear combinations, span, bases
Linear Transformations
Homework:
Conceptual
Problems #3 Due in lecture Wednesday, January 23.
WebAssign Homework Sections 2.2, 2.3 Due Thursday, January 24, 11pm
Week 4 (Jan 28Feb 1)
Readings from the textbook:
Section 3.1: Linear Transformations
Section 3.2: Matrix Algebra (skip elementary matrices and partitioned matrices)
Video:
Linear Transformations
Matrix Multiplication
Threedimensional Linear Transformations
Midterm 1: Wednesday, January 30 in class
Includes everything we covered in Chapters 1 and 2
Exam Policy:
 One 8.5 x 11 sheet of handwritten notes (both sides) is
allowed.
 The only calculator allowed is the Texas Instruments TI30X IIS.
 You may not share a calculator nor a note sheet with another student
on an exam.
 Bring your Husky card (picture ID) to each exam so I can check you are
who you are supposed to be.
MakeUps: There are no makeup exams. If you have a conflict
with an exam because of religious holidays
or participation in university sponsored activities (such as a class
field trip or athletics), speak to Prof. Graham about it at least one
week before the exam. You will be required to provide documentation for
your absence.
Here is a
collection of Midterm 1 Exams from recent quarters. Most of these exams
include questions about Section 3.1: Linear Transformations. Our Midterm
1 will not cover Linear Transformations.
Jacob will conduct review sessions in the TA sections on Tuesday,
January 29.
The Center for
Learning and Undergraduate Enrichment (CLUE) will run a priority
dropin session for Math 308 on Tuesday evening, January 29. This can be
a good resource for getting your questions answered in preparation for
the exam.
Homework:
No Conceptual Problems due this week
WebAssign Homework Section 3.1 Due Thursday, January 31, 11pm
Week 5 Revised (Feb 48)
Readings from the textbook:
Section 3.3: Inverses (skip partitioned matrices)
Video:
Threedimensional linear transformations
Linear transformations with nonsquare matrices
Homework:
Conceptual
Problems #4 Due date postponed until next week because of Snow
Days
WebAssign Homework Sections 3.2, 3.3 Due Thursday, February 7, 11 pm
Week 6 ReRevised (Feb 1116)
Readings from the textbook:
Section 5.1: The Determinant Function
Section 5.2: Properties of the Determinant (skip Partitioned Matrices)
Section 4.1: Introduction to Subspaces
Begin Section 4.2: Basis and Dimension
Video:
3Blue1Brown: Determinants
3Blue1Brown: Inverses, column space, rank and nullspace
MIT Professor Strang Lecture 18: Properties of Determinants
MIT Professor Strang Lecture 19: Determinant formulas and cofactors
Homework:
Conceptual
Problems #4 Due in lecture Wednesday,
February 13
WebAssign Homework Section 5.1, Due Thursday, February 14, 11 pm
WebAssign Homework Section 5.2, Due Saturday,
February 16, 11 pm
Week 7 (Feb 1822)
Readings from the textbook:
Section 4.2: Basis and Dimension
Section 4.3: Row and Column Spaces
Video:
3Blue1Brown: Inverses, column space, rank and nullspace
MIT Professor Strang Lecture 6 : Column Space and Nullspace
MIT Professor Strang Lecture 9 : Independence, Basis, and Dimension
MIT Professor Strang Lecture 10 : The Four Fundamental Subspaces
Homework:
Conceptual
Problems #5 Due in lecture Friday, February 22
WebAssign Homework Sections 4.1, 4.2 Due Thursday, February 21, 11 pm
Week 8 (Feb 25March 1)
Readings from the textbook:
Section 4.3: Row and Column Spaces
Section 4.4: Change of Basis (only through the end of p. 201)
begin Section 6.1: Eigenvalues and Eigenvectors
Video:
3Blue1Brown: Inverses, column space, rank and nullspace
3Blue1Brown: Change of bases
MIT Professor Strang Lecture 6: Column Space and Nullspace
MIT Professor Strang Lecture 9: Independence, Basis, and Dimension
MIT Professor Strang Lecture 10: The Four Fundamental Subspaces
MIT Professor Strang Lecture 31: Change of Basis; Image Compression
Homework:
Conceptual
Problems #6 Due in lecture Wednesday, February 27
WebAssign Homework Sections 4.3, 4.4 Due Thursday, February 28, 11
pm
Week 9 (March 48)
Readings from the textbook:
Section 6.1: Eigenvalues and Eigenvectors
begin Section 6.2: Diagonalization
Video:
3Blue1Brown: Eigenvectors and eigenvalues
MIT Professor Strang Lecture 21: Eigenvalues and Eigenvectors
MIT Professor Strang Lecture 22: Diagonalization and Powers of A
Midterm 2: Wednesday, March 6 in class
Includes everything we covered in Chapters 3,4,5
Exam Policy:
 One 8.5 x 11 sheet of handwritten notes (both sides) is
allowed.
 The only calculator allowed is the Texas Instruments TI30X IIS.
 You may not share a calculator nor a note sheet with another student
on an exam.
 Bring your Husky card (picture ID) to each exam so I can check you are
who you are supposed to be.
MakeUps: There are no makeup exams. If you have a conflict
with an exam because of religious holidays
or participation in university sponsored activities (such as a class
field trip or athletics), speak to Prof. Graham about it at least one
week before the exam. You will be required to provide documentation for
your absence.
Here is a
collection of Midterm 2 Exams from recent quarters. Some of these exams
may include material that we did not cover or are have not gotten to yet,
like eigenvalues and eigenvectors. Eigenvalues and eigenvectors will not
be included on our exam.
Jacob will conduct review sessions in the TA sections on Tuesday,
March 5.
The Center for
Learning and Undergraduate Enrichment (CLUE) will run priority
dropin sessions for Math 308 on Thursday evening, February 28 and Monday
evening March 4, from 79 pm in the Mary Gates Hall Commons. This can be
a good resource for getting your questions answered in preparation for
the exam.
Homework:
No Conceptual Problems due this week
WebAssign Homework Section 6.1, Due Thursday, March 7, 11 pm
Week 10 (March 1115)
Readings from the textbook:
Section 6.2: Diagonalization
Section 6.3: Complex Eigenvalues and Eigenvectors
Video:
3Blue1Brown: Eigenvectors and eigenvalues
MIT Professor Strang Lecture 21: Eigenvalues and Eigenvectors
MIT Professor Strang Lecture 22: Diagonalization and Powers of A
Homework:
Conceptual
Problems #7 Due in lecture Friday, March 15
WebAssign Homework Sections 6.2, 6.3 Due Thursday, March 14, 11
pm
Final Exam Information
The final exam is Thursday, March 21, from 8:3010:20 am, in our usual
classroom BAG 154
It will cover the entire course.
Class on Friday, March 15 will consist of a review.
Exam Policy:
 One 8.5 x 11 sheet of handwritten notes (both sides) is
allowed.
 The only calculator allowed is the Texas Instruments TI30X IIS.
 You may not share a calculator nor a note sheet with another student
on an exam.
 Bring your Husky card (picture ID) to the exam.
MakeUps: There are no makeup exams. If you anticipate a
problem making the exam, speak to Prof. Graham about it in advance.
Seating Chart:
We will use a seating chart for the final exam. Before the exam I will
send you a chart of the seats in the room with an assigned seat for each
student. Jacob and I will be checking that each student is the assigned
seat.
Here is a
collection of Final Exams from recent quarters. All classes do not
necessarily cover the same material, so there may be some problems on
these exams on material that we did not cover and you are not responsible
for.
UW Resources:
Disability Resources for
Students
Counseling
Center
Center for Learning
and Undergraduate Enrichment (CLUE)
UW Math Home Page