glaz@math.uconn.edux
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Textbook
Linear
Algebra and its Applications, by David C. Lay, 3rd edition (Update)
Course Description
This
course provides an introduction to the concepts and techniques of
Linear Algebra. This includes the study of matrices and their relation
to linear equations, linear transformations, vector spaces, eigenvalues
and eigenvectors, and orthogonality.
Homework
Homework will be assigned after every section, discussed in class on
Tuesdays, collected on Thursdays, and returned the following class.
Solutions to selected exercises will be handed out at that time. For
that reason, late homework will not usually be accepted.
Homework assignments consist of individual practice exercises from the
textbook (see Syllabus) and occasional group projects highlighting
applications. You are
encouraged to work with other students in this class on all your
homework assignments, but must write up and hand in your individual
solution. Group projects, one report per group, will be graded for exam
points. Textbook
homework assignments will not be graded but will carry exam points
(this will be explained in more
details
in class).
Calculator
Policy
You
will need to show your work on exams and homework
assignments, but may use calculators, in all cases, to double check
your answers and save time on routine calculations. The recommended
graphic Calculator is TI83 (best value for the money) but others will
do as well.
Exam Schedule and Guidelines
There
will be three inclass exams during the semester and a Final exam. None
is strictly
cumulative, but there will be overlap of material between the exams.
NO MAKEUP EXAMS unless there is a very serious emergency for which you
provide proof. Quizzes will be given only if necessary.
Exam
Schedule 
Exam
Guidelines (a link to each exam guidelines will appear in the week before each exam) 
Exam
1: Tuesday, February 17, in class

Exam
1 Guidelines: Materials and Review Suggestions 
Exam 2: Thursday, March 19, in class  Exam
2 Guidelines: Materials and
Review Suggestions 
Exam 3: Thursday, April 16, in class  Exam
3 Guidelines: Materials and
Review Suggestions 
Final
Exam: Saturday, May 9, 1:003:00, MSB 311 
Final
Exam Guidelines: Materials
and Review Suggestions 
For
help with location of the Final Exam Building
click on The
Campus Map.
UConn Final Exam Policy.
Grading Policy
Homework, quizzes, and group projects: 7% to 10%. Each Exam
(including the Final Exam) is of equal weight, that is, about 22%.
Extra Help: The Q Center and Textbook Website
I
encourage you to come to my office for help during office hours, and I
will be happy to find other times when we can meet if my office hours
schedule does not fit your schedule. However, there may be times when
you need help
and I am not available. A good source of extra help is the UConn Q Center. Check their
website for hours and locations. In addition to dropin free tutoring,
the Q Center also maintains a list of private tutors. An online source
of additional practice exercises, review sheets, and exam samples with
solutions, is the Student
Resources located on your textbook website: http://wps.aw.com/aw_lay_linearalg_updated_3/
.
The actual pace of the course may be slightly
different than listed in the Syllabus below. It will depend on the
students' response to the material. Homework assignments will be given
in class after every section. In addition to the section homework
listed below, there may be a number of group projects highlighting
applications of the material. The
links to the handouts for each section appearing in Sections: Topics and Section Handouts
column will be updated on a weekly basis as we progress through the
course.
Week 
Sections: Topic with Link to Section Handout 
Homework Assignments 
Week 1 
1.1. System of Linear
Equations 
Mathautobiography page 1112: 1,8,13,17,22,23,24 page 2526: 1,3,7,14,19,21,22 GroupWork: Gaussian Elimination 
Week 2 
1.3. Vector
Equations 1.4. The Matrix Equation Ax = b 
page 3740: 1,3,6,9,12,14,17,21 page 4749: 1,4,7,9,13,22,23,25 GroupWork: Linear Combinations 
Week 3 
1.5. Solutions
Sets of a
Linear Equation 1.7. Linear Independence 
page 5557: 2,5,11 page 7172: 1,5,8,9,15,20,22,33,34 GroupWork: Linear Independence and Dependence 
Week 4 
1.8.
Introduction to Linear Transformations 1.9. The Matrix of a Linear Transformation 
page
7981: 1,8,9,13,17,31 page 9091: 1,2,15,20 
Week 5 
2.1. Matrix
Algebra: Operations Exam 1: Tuesday, February 17 
page 116117: 2,5,7,10,15,27 
Week 6 
2.2. Matrix
Algebra: Inverses 2.3. Characterizations of Invertible Matrices 
page 126127: 3,6,13,18,31 page 132133: 3,5,8,13,15 GroupWork: Transformations and Matrix Inverses 
Week 7 
3.1.3.2. Determinants:
Introduction and Properties 
page 190191:
4,11,37,38 page 199200: 16,17,20,25,29,31,32,40 GroupWork: Determinants and Matrix Invertibility 
Break 
Spring Break: March 814  Relax and have fun! 
Week 8 
4.1. Vector
Spaces and Subspaces Exam 2: Thursday, March 19 
page 223224:
1,7,11,13,15,31 
Week 9 
4.2. Null
Spaces, Column
Spaces, Linear Transformations 4.3. Linear Independent Sets, Bases 
page 234235: 3,11,14,17,21,23,25 page 243244: 3,4,9,11,13,15,23,24 GroupWork: Null A, Col A, and Bases 
Week 10 
4.5. Dimension
of Vector Spaces 4.6. Rank 
page 260262: 1,9,11,17,19 page 269270: 2,5,7,10,13,27 GroupWork: Rank A 
Week 11 
5.1. Eigenvalues
and Eigenvectors 5.2. The Characteristic Equation 
page 308310: 2,3,7,13,17,19,23 page 317318: 2,5,12,15,20,21 GroupWork: Eigenvalues and Eigenspaces 
Week 12 
5.3. Diagonalization Exam 3: Thursday, April 16 
page
325327: 1,4,5,9,11,23,24,31 
Week 13 
6.1. Inner
Product and
Orthogonality 6.2. Orthogonal Sets 
page 382384: 5,10,13,15,17,20,25 page 392393: 1,2,9,11,14,20,26,27 GroupWork: Orthogonality 
Week 14 
6.4. GramSchmidt
Process 
page 407409: 3,7,9 GroupWork: GramSchmidt 
Week of Finals: 5/45/9 
Final
Exam: Saturday, May 9, 1:003:00, MSB 311 
Office
Hours during Final Exams' week: Friday, May 8, 1:302:30, and Saturday, May 9, 12:001:00 
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honesty; academic work depends upon respect for and acknowledgment of
the research and ideas of others. Misrepresenting someone else's work
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presenting the same or substantially the same papers or projects in two
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an act of academic misconduct shall be equally accountable for the
violation, and shall be subject to the sanctions and other remedies
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Student Support Services
This page is maintained by Sarah Glaz
Last modified: Spring 2009