LINEAR ALGEBRA

## Instructor: Dr. Nancy Eaton

E-mail me: eaton@math.uri.edu

Phone: 874-4439

Office: Rm 222, Tyler HallVisit my web page: WEB PAGE

Office hours: By appointment and Tuesday 5pm, before class in our class room

also send questions by e-mail.

TUTOR HOURS

Practice online Text Contents Homework and classwork Quizzes Grade Calculator Maple Assignments Schedule Solutions to homework More examples Keys to quizzes and exams

- Linear Algebra Toolkit
- S. Smith's Math 310 Home page
- Math Archives - Linear & Matrix Algebra
- STAT/MATH Center - Linear Algebra with Maple
- Open Directory Project - Linear Algebra
- Notes on Linear Algebra
- F. Wattenberg's Example of Linear regression and linear transformations - scroll down to the 3rd example
- Practice Linear Transformations
- Class work - 50 pts
- Maple assignments - 50 pts
- quizzes - 100 pts
- 3 1-hour exams - 300 pts
- final exam - 200 pts
- Assignment 1 Solution Key
- Assignment 2 Solution Key Solution Key(beyond requirements)
- demo on linear transformations in the plane

Disability Services (874-2098) should make arrangements with me as soon as possible.

Here are some useful links for linear algebra:

Topics: vectors, matrices, linear systems, linear transformations, vector spaces, determinants, eigenvalues, eigenvectors. There are many applications of linear algebra to problems in many areas of math and science. We will look at applications in order to motivate the study of linear algebra.

Homework
& class work: Suggested
*homework*
problems are given for all sections that we cover in class. Do as
many of these as possible and keep the solutions (include the question
as well) in a notebook, a loose leaf notebook is best. You must be
self disciplined to do all of the suggested homework problems and to make
sure each one is done correctly. Remember you *learn math by doing
it*. Doing all of your homework is essential. It helps you
to practice doing all of the problems so that you can do them quickly enough
when the time comes to take a test. Bring this notebook to my office
hours to show me your work and ask questions. I will ask students
to put up the solutions to homework problems on the board in class.
This will count as *class work*. Also, during class you will
sometimes work in groups and hand in your work. This will also count
as *class work. *It is essential that you do not miss any classes
during this short summer session.

Suggested homework problems:

Section |
Suggested problems |

1.1 | 1,5,9,13,15,17,21,23,25,33,35,39 |

1.2 | 1,3,5,7,9,11,13,25,27,33,36,40 |

1.3 | 1-15 (odd) 19,20,21,45
proofs: 27, 31, 32 |

1.4 | 1-15 (odd) 21,23,25,29,41-45, 47,49,56 |

1.5 | 1-13 (odd) 16,18,19,21,23
proofs: 24, 35 |

1.6 | 1,3,9, 17, 19,23,25,29,30,31,38, 42,43,44
proofs: 12, 14, 45 |

2.1 | 7,9,11,12,15,19,21,22,25,27,28 |

2.2 | 1,3,4,5,8,11,12 |

2.3 | 1,2,3,5,7,9,10,11,13,14,21,23,25 |

2.4 | 1,2,3,6,7,8,10,11,12,13,14,15 |

4.1 | 1,3,5-7,10-15,19,20,21,25,26,30,31,33,34,37,38 |

4.2 | 1,5,7,10,11,13,15-21,22-25,27,29-31 |

4.3 | 1,3,5,7,9,15,17,19,21,22,25,27,29,33,35 |

5.1 | 1,3,5,7,9,13,15 |

5.2 | 1,3,5,7,9,11,13 |

6.1 | 1,3,5,7,9,11,13,15,17,19,21 |

6.2 | 1,3,5,7,9,11,13,17,19 |

Quizzes: I will give you short quizzes in class. The questions will be similar to homework problems from the material covered in the previous week. I won't give make ups on missed quizzes. Instead, I drop the 2 lowest grades from the semester. Look for the quizzes and solutions on our class web page.

Your grade:
Your
grade will be based on *class work, quizzes,* 3* 1-hour exams, *and
the* final exam.*

Calculator:
You
will find your **graphing calculator** to be helpful, but not essential
for this course. You will need at least a **scientific calculator**.
Mathematical software packages are very helpful when performing computations
in linear algebra, and they can provide a useful tool when learning it
as well. We will use the
*Maple* software package for this course.
Learn
more about *Maple.* You may have purchased the disk *LINTEK
*with
your book. This gives you a way to practice computations and have
your work corrected. Exercises using *LINTEK* are given at the
end of the homework sections in our text. You may do as many of these
as you like. They are good practice.

To submit electronically:
Go to the home page of the math dept. http://www.math.uri.edu/

Select: Access Electronic
Submission of Maple Hmk. From there, use your postoffice e-mail address
as your identification and your Social Security number as your password.
If you fail to do the electronic submission then hand it in on paper by
the due date. Just include the exercises, to avoid printing unnecessary
pages.

*Maple*
Assignments: Listed below are the *Maple*
assignments for this section of MTH 215.

Begin working on the projects well
in advance, as you may find that you have questions. Please come
to my office hours with your questions.

Time table:
The
following time table will be used as a guide. We may be slightly
ahead or behind schedule at any given time.

DATE | Sections | Work due | Exams |

Tuesday 5/21 | 1.1, 1.2 | ||

Thursday 5/23 | 1.3, 1.4, 1.5 | Quiz 1 on 1.1, 1.2 | |

Tuesday 5/28 | 1.6, 2.1 | Quiz 2 on 1.3, 1.4, 1.5 | |

Thursday 5/30 | 2.2 | Exam 1 on 1.1,1.2,1.3,1.4,1.5 | |

Tuesday 6/4 | 2.3,2.4,4.1 | Maple 1 | Quiz 3 on 1.6,2.1, 2.2 |

Thursday 6/6 | 4.2, | Exam 2 on 1.6, 2.1, 2.2 | |

Tuesday 6/11 | 4.3 | Quiz 4 on 2.3, 2.4, 4.1, 4.2 | |

Thursday 6/13 | 5.1, | Exam 3 on 2.3, 2.4, 4.1, 4.2 | |

Tuesday 6/18 | 5.2, 6.1, 6.2 | Maple 2 | Quiz 5 on 4.3, 5.1, 5.2, 6.1, 6.2 |

Thursday 6/20 | Final exam cummulative. |

Solutions
to selected homework problems:

Section 1.1

Section 1.2

Section 1.3

Section 1.4

Section 1.4

Section 1.6

More examples:

Section 1.3-two
proofs

A proof - transpose
of a product

Section 1.4

Section 1.5

Section 1.6 - theory

Sections 4.2 and 5.1

Keys to Quizzes
and exams:

Quiz 1

Quiz 2

Quiz 3

Quiz 4

Quiz 5

Exam 1

Exam 2

KINGSTON: Brian Travers -
RM. 104B, VHCrash@aol.com, 4-4186

Hours: Mon-Thurs, 9-1 pm

PROVIDENCE: Thomas Buss -
Shepard Bldg. Rm. 240 (Prov.), tbuss@math.uri.edu

Hours: Mondays - 11-5 pm, Tuesday
9-3 pm, Wed. - 9-1 pm