LINEAR ALGEBRA

## Instructor: Dr. Nancy Eaton

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

Phone: 874-4439

Office: Rm 222, Tyler Hall

Office hours: Monday 3:00-4:30, Tuesday 2:30-4:00, or by apt.

Visit my web page: WEB PAGESection 01-Kingston

Meets T,R: 8:00-9:15, Kelly 103

- 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
- Class work - 50 pts
- Maple assignments - 50 pts
- quizzes - 100 pts
- 3 1-hour exams - 300 pts
- final exam - 200 pts
- Assignment 1 - due Feb 28
- Assignment 2 - due April 4
- demo on linear transformations in the plane
- Optional assignment 3 - due May 2

Homework

Solutions to selected homework problems

More Examples

Keys to exams and quizzes

EXTRA CREDIT FROM LAST CLASS

Students who require accommodations
and who have documentation from

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 miss as few classes
as possible to get class work credit.

Quizzes: I will give you short quizzes in class, once a week. 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 3 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.*

*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. The assignments below will
turn into buttons that as soon as they are available.

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

Tuesday | Section | Thursday | Section |

1/22 | 1.1 | 1/24 | 1.1 |

1/29 | 1.2 | 1/31 | 1.3 |

2/5 | 1.4 | 2/7 | 1.5 |

2/12 | 1.6 | 2/14 | Review |

2/21 | Exam 1 (1.1-1.5) | ||

2/26 | 2.1 | 2/28 | 2.1 Maple 1 due |

3/5 | 2.2 | 3/7 | 2.3 |

3/19 | 2.4 | 3/21 | 4.1 |

3/26 | Review | 3/28 | Exam 2 |

4/2 | 4.2 | 4/4 | Maple 2 due |

4/9 | 4.3 | 4/11 | |

4/16 | 5.1 | 4/18 | 5.2 |

4/23 | 6.1 | 4/25 | Review |

4/30 | Exam 3 | 5/2 | 6.2 |

5/7 | Review | mon 5/13 | Final exam |

Suggested
homework problems: Your grade will be based
on *class work, quizzes,* 3* 1-hour exams, *and the* final
exam. *Check this list frequently to get the latest homework assignments.

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 |

Solutions
to selected homework problems:

Section 1.1

Section 1.2

Section 1.3

Section 1.4

Section 1.4

More examples:

Section 1.3-two
proofs

a proof - transpose
of a product

Section 1.6 - theory

Review for exam 3 including
Proofs by induction from section 4.2

Keys to Quizzes
and exams:

Quiz
1

Quiz 2

Quiz 3

Quiz 4

Quiz 5

Exam 2

Exam 3