Last modified: Fall 2010
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 homework 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 below) and occasional group projects. You are
encouraged to work with other students in this class on all your
homework assignments. Group projects, one report per group, will be
graded for exam
points. Textbook
homework assignments, handed in individually, 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 two in-class exams during the semester and a Final exam. None
is strictly
cumulative, but there will be overlap of material between the exams.
NO MAKE-UP 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,
October
5,
in
class
|
Exam 1 Guidelines:
Material and Review Suggestions |
| Exam 2: Tuesday, November 9, in class | Exam 2 Guidelines:
Material and
Review Suggestions |
| Final
Exam:
Thursday,
December
16,
10:30-12:30,
MSB
315 |
Final Exam
Guidelines: Material
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 about 10%. Each Exam
(including the Final Exam) is of equal weight, that is, about 30%.
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 drop-in 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 sections' homework
listed below, there will 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 |
Math-autobiography page 11-12: 1,8,13,17,22,23,24 page 25-26: 1,3,7,14,19,21,22 Group Work: Gaussian Elimination |
| Week 2 |
1.3. Vector
Equations |
page 37-40:
1,3,6,9,12,14,17,21 No class: Thursday, September 9 |
| Week 3 |
1.4. The
Matrix Equation Ax = b 1.5. Solutions Sets of a Linear Equation |
page 47-49:
1,4,7,9,13,22,23,25 page 55-57: 2,5,11 Group Work: Linear Combinations |
| Week 4 |
1.7. Linear
Independence 1.8. Introduction to Linear Transformations |
page 71-72:
1,5,8,9,15,20,22,33,34 page 79-81: 1,8,9,13,17,31 Group Work: Linear Independence |
| Week 5 |
1.9.
The Matrix of a Linear Transformation 2.1. Matrix Algebra: Operations Review |
page 90-91: 1,2,15,20 page 116-117: 2,5,7,10,15,27 |
| Week 6 |
2.2. Matrix
Algebra: Inverses Exam 1: Tuesday, October 5 |
page 126-127: 3,6,13,18,31 Group Work: Linear Transformations and Inverses |
| Week 7 |
2.3. Characterizations
of Invertible
Matrices 3.1. Determinants: Introduction |
page
132-133:
3,5,8,13,15 page 190-191: 4,11,37,38 Group Work: Determinants and Invertibility |
| Week 8 |
3.2. Determinants: Properties 4.1. Vector Spaces and Subspaces |
page 199-200: 16,17,20,25,29,31,32,40 page 223-224: 1,7,11,13,15,31 Group Work: Vector Spaces and Subspaces |
| Week 9 |
4.2. Null
Spaces, Column
Spaces, Linear Transformations 4.3. Linear Independent Sets, Bases |
page 234-235:
3,11,14,17,21,23,25 page 243-244: 3,4,9,11,13,15,23,24 Group Work: Null A, Col A, and Bases |
| Week 10 |
4.5. Dimension
of Vector Spaces 4.6. Rank Review |
page 260-262: 1,9,11,17,19 page 269-270: 2,5,7,10,13,27 Group Work: Rank A |
| Week 11 |
5.1. Eigenvalues
and Eigenvectors Exam 2: Tuesday, November 9 |
page 308-310: 2,3,7,13,17,19,23 |
| Week 12 |
5.2. The
Characteristic Equation 5.3. Diagonalization |
page 317-318:
2,5,12,15,20,21 page 325-327: 1,4,5,9,11,23,24,31 Group Work: Eigenvalues and Eigenvectors |
| Break |
Thanksgiving Sunday,
11/21 - Saturday, 11/27 |
Relax and have fun! |
| Week 13 |
6.1. Inner
Product and
Orthogonality 6.2. Orthogonal Sets |
page 382-384:
5,10,13,15,17 page 392-393: 1,2,9,11,14,20,26,27 Group Work: Diagonalization |
| Week 14 |
6.4. Gram-Schmidt
Process 7.1 Diagonalization of Symmetric Matrices (if time permits) |
page 407-409: 3,7,9 |
| Week of Finals |
Final
Exam:Thursday, December 16, 10:30-12:30, MSB 315 |
Extra office
hours before the final exams: Monday, December 13, 5:00-6:00 Wednesday, December 15, 11:00-12:00 |
A fundamental tenet of all educational institutions is academic
honesty; academic work depends upon respect for and acknowledgment of
the research and ideas of others. Misrepresenting someone else's work
as one's own is a serious offense in any academic setting and it will
not be condoned. Academic misconduct includes, but is not limited to,
providing or receiving assistance in a manner not authorized by the
instructor in the creation of work to be submitted for academic
evaluation (e.g. papers, projects, and examinations); any attempt to
influence improperly (e.g. bribery, threats)any member of the faculty,
staff, or administration of the University in any matter pertaining to
academics or research; presenting, as one's own,the ideas or words of
another for academic evaluation; doing unauthorized academic work for
which another person will receive credit or be evaluated; and
presenting the same or substantially the same papers or projects in two
or more courses without the explicit permission of the instructors
involved. A student who knowingly assists another student in committing
an act of academic misconduct shall be equally accountable for the
violation, and shall be subject to the sanctions and other remedies
described in The Student Code.
Student Support Services
This page is maintained by Sarah Glaz
Last modified: Fall 2010