Instructor | Dr. Mark Comerford |
Office | Lippitt 102 F |
Phone | 874 5984 |
mcomerford@math.uri.edu | |
Office Hours |
M, W 5-6pm, CCE Cafeteria or by appointment |
TAs | Addie Armstrong, Elliott Bertrand, Erin Denette, Chad Estabrooks, Toufik Khyat, James Marcotte David McArdle, Diana Smith, Christoper Staniszewski, Thomas Valletta |
TA Office Hours |
Providence, Kingston |
Text | David Lay Linear Algebra and its Applications, Fourth Edition, Addison Wesley; ISBN: 0321385179 |
Prerequisites | Mth 131, Mth 141 or equivalent |
About this Course
This is a first undergraduate course in linear
algebra. In this course you will learn many of the foundations of linear
algebra. Students are encouraged to use Maple to complement the topics, in fact
this practice will be very useful for the future development of the projects.
We will present some applications to motivate the subject.
Syllabus
Chapter 1
1.1 Systems of Linear Equations
1.2 Row Reduction and Echelon Forms
1.3 Vector Equations
1.4 The Matrix Equation Ax = b
1.5 Solution Sets of Linear Systems
1.6 Linear Independence
1.7 Introduction to Linear Transformations
1.8 Introduction to Linear Transformations
1.9 The Matrix of a Linear Transformation
Chapter 2
2.1 Matrix Operations
2.2 The Inverse of a Matrix
2.3 Characterizations of Invertible Matrices
2.8 Subspaces of R^n
2.9 Dimension and Rank
Chapter 3
3.1 Introduction to Determinants
3.2 Properties of Determinants
3.3 Cramer's Rule, Volume, and Linear Transformations
Chapter 4
4.1 Vector Spaces and Subspaces
4.2 Null Spaces, Column Spaces, and Linear Transformations
4.3 Linearly Independent Sets: Bases
4.5 The Dimension of a Vector Space
4.6 Rank
4.7 Change of Basis
Chapter 5
5.1 Eigenvectors and Eigenvalues
5.2 The Characteristic Equation
5.3 Diagonalization
5.4 Eigenvectors and Linear Transformations
Chapter 6
6.1 Inner Product, Length, and Orthogonality
6.2 Orthogonal Sets
6.3 Orthogonal Projections
6.4 The Gram-Schmidt Process
Lectures
The textbook has its own website which may be found at
http://www.laylinalgebra.com On this site you can find versions of the lecture notes used in class as well as other resources. However, for your convenience, I have linked the lecture material to this webpage.
Extra (handwritten) material for Lecture 9
Extra two handwritten pages on angles.
Homework
Homework will be assigned weekly. However the weekly quiz may be based on homework assignments.
If you
do your weekly homework assignments you will have no problem with the exams.
Homework Problems
Week 1
Week 2
2.1 1, 5, 7, 9, 17
2.2 1, 5, 7, 17, 29, 31 (3rd Ed. 1, 5, 7, 15, 29, 31)
2.3 1, 3, 7, 11,13, 27
3.1 1, 3, 11, 23, 25, 29
3.2 3, 9, 11, 13, 15, 19, 21, 25, 31
3.3 1, 5, 6
Week 3
4.1 1, 3, 7, 9, 13, 21
4.2 1, 3, 11, 12, 17, 21
4.3 1, 3, 5, 11, 13, 15, 19, 31
4.4 1, 3, 9, 11, 13
4.5 1, 3, 7, 11, 17, 21
4.6 1, 3, 5, 7, 11
4.7 1, 5, 7, 11
Week 4
5.1 1, 5, 7, 11, 13, 15, 19, 25, 31
5.2 1, 3, 9, 13, 17, 21, 25
5.3 1, 3, 5, 7, 8, 11, 19, 27
6.1 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 29
6.2 1, 3, 11, 12, 17, 21
6.3 1, 3, 9, 11, 13, 15, 17, 23
6.4 1, 3, 9, 11
Evaluation
Grading Scale
Your total score out of 500 will be divided by 5 and the resulting score out of 100 will determine your grade: A 93 - 100, A- 90 - 93, B+ 87 - 90, B 83 - 87, B- 80 - 83, C+ 77 - 80, C 73 - 77, C- 70 - 73, D+ 67 - 70, D 60 - 67, F < 60.
A summary of the course material is available here.
Policies
You are expected to abide by the University's civility
policy:
"The University of Rhode Island is committed to developing and
actively protecting a class environment in which respect must be shown to
everyone in order to facilitate the expression, testing, understanding, and
creation of a variety of ideas and opinions. Rude, sarcastic, obscene or
disrespectful speech and disruptive behavior have a negative impact on
everyone's learning and are considered unacceptable. The course instructor
will have disruptive persons removed from the class."
Cell phones, IPods, beepers and any electronic device must be turned
off in class.
You are required to do your own work unless specifically told otherwise by your
instructor. In support of honest students, those discovered cheating on
assignments or exams will receive a grade of zero on the assignment or exam.
Use of unauthorized aids such as cheat sheets or information stored in
calculator memories, will be considered cheating. The Mathematics Department
and the University strongly promote academic integrity.
Accommodations
Any student with a documented disability is welcome to contact me
early in the semester so that we may work out reasonable accommodations to
support your success in this course. Students should also contact
Disability Services for Students: Office of Student Life, 330 Memorial
Union, 874-2098. They will determine with you what accommodations are
necessary and
appropriate. All information and documentation is confidential.
Exam I
100pts
Exam II
100pts
Exam III
100pts
Final
200pts
Total
500pts