Applied Linear Algebra

Fall 2016

Sarah Glaz

(click on link and remove end x)

Office: MONT 230
: (860) 486 9153

Office Hours
:  Tuesday, Thursday 12:30-1:30
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Tuesdays and Thursdays.

Class Meeting Times/Place

Tuesday, Thursday: 2:00-3:15. Classroom: MONT 320


Linear Algebra and its Applications, by David C. Lay, 4th edition

Course Catalog 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 will be assigned after every section, discussed in class on Tuesdays, collected on Thursdays and returned the following class with selected solutions. For that reason, late homework will not usually be accepted. Homework assignments consist of individual practice exercises from the textbook (see Syllabus below) and weekly 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 evening 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
(an active link to each exam guidelines will appear in the week before each exam)
Exam 1:  Thursday, September 29, 6:00 - 8:00 pm
               Location: MONT 320

Exam 1 Guidelines: Material and Review Suggestions

Exam 2: Thursday, November 10, 6:00 - 8:00 pm
               Location: MONT 320
Exam 2 Guidelines: Material and Review Suggestions

Final Exam: Wednesday, December 14, 3:30 - 5:30 pm
                      Location:  MONT 320
Final Exam Guidelines: Material and Review Suggestions

For help with location of the exam building click on The Campus Map.
UConn Final Exam Policy.  

Grading Policy

Homework assignments, 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_linearalgebra_4/.

Syllabus, Homework Assignments, and Course Handouts

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.  Check the course's page weekly for updates!
Sections: Topic with Link to Section Handout
Homework Assignment
Week 1

1.1. System of Linear Equations
No class on Thursday, September 1

page 10-11: 1,8,13,17,22,23,24

Week 2

1.2. Row Reduction and Echelon Forms
1.3. Vector Equations
page 21-23: 1,3,7,14,19,21,22
page 32-34: 1,3,6,9,13,14,15,21
Group-Work 1: Gaussian Elimination
Week 3

1.4. The Matrix Equation Ax = b
1.5. Solutions Sets of a Linear Equation

page 40-42: 1,4,7,9,13,22,23,25
page 47-49: 2,5,11
Group-Work 2: Linear Combinations and Vector Equations
Week 4

1.7. Linear Independence
Introduction to Linear Transformations
page 60-62: 1,5,8,9,15,20,22,33,34
page 68-70: 1,8,9,13,17,31

Group-Work 3: Linear Dependence and Independence of Vectors
Week 5

1.9. The Matrix of a Linear Transformation
2.1. Matrix Algebra: Operations
Exam 1: Thursday, September 29, 6:00-8:00 pm, Location: MONT 320
page 78-79: 1,2,15,20
page 100-102: 2,5,7,10,15,27
Group-Work 4: Linear Transformations
Week 6

2.2. Matrix Algebra: Inverses
No class on Tuesday, October 4

page 109-111: 3,6,13,18,31

Week 7

2.3. Characterizations of Invertible Matrices
3.1. Determinants: Introduction
page 115-116: 3,5,8,13,15
page 167-169: 4,11,37,38

Group -Work 5: Matrix Invertibility
Week 8
3.2. Determinants: Properties
4.1. Vector Spaces and Subspaces
page 175-177: 16,17,20,25,29,31,32,40
page 195-198: 1,7,11,13,15,31

Group-Work 6: Determinants and Invertibility
Week 9
4.2. Null Spaces, Column Spaces, Linear Transformations
4.3. Linear Independent Sets, Bases
page 205-207: 3,11,14,17,21,23,25
page 213-215: 3,4,9,11,13,15,23,24
Group-Work 7: Null A, Col A, and Bases
Week 10

4.5. Dimension of Vector Spaces
4.6. Rank
page 229-230: 1,9,11,17,19
page 239-238: 2,5,7,10,13,27
Group-Work 8: Rank A
Week 11

5.1. Eigenvalues and Eigenvectors
Exam 2: Thursday, November 10, 6:00-8:00 pm. Location: MONT 320
page 271-273: 2,3,13,17,19,23

Week 12

5.2. The Characteristic Equation
5.3. Diagonalization
page 279-281: 2,12,15,20
page 286-287: 5,9,11,23,24
Group-Work 9: Eigenvalues, Eigenvectors and Diagonalization
Thanksgiving Recess
Enjoy and have fun!

Week 13

6.1. Inner Product and Orthogonality
6.2. Orthogonal Sets
6.4. Gram-Schmidt Process
page 336-338: 5,10,15,17
page 344-346: 1,2,9,20
page 358-360: 3,7,9
Group-Work 10: Gram-Schmidt Process
Week 14
Review, catch-up, and other topics if time permits
Read for enjoyment:
The $25,000,000,000 Eigenvector: The Linear Algebra behind Google.

Week of Finals

Final Exam: Wednesday, December 14, 3:30 - 5:30 pm. Location: MONT 320

Extra office hours before the final exam:
Wednesday, December 14, 12:30 - 2:30 pm

Academic Integrity

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

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This page is maintained by Sarah Glaz pooh                  
Last modified: Fall 2016