# MTH215 Intro to Linear Algebra

### Summer 2004

Instructor: Lubos Thoma

Office: Tyler Hall 214, tel: 874.4451

Email: thoma@math.uri.edu

Class Schedule: TuTh 6.00 -- 9.45pm;
Shepard Building Providence Room 445

**Office hours:** TuTh 5.00 - 6.00 pm (in Providence)
and by appointment

**Important dates -- homework, exams:
**

**Tutoring:**
Tutors are available at both the Providence
and Kingston campuses. Check the
link for specific hours. Also, you can make an individual appointment
with me.

**Syllabus:**
postscript
pdf
A detailed schedule and a list of suggested problems
can be found
**here**.

**Textbook:**
J. Fraleigh, R. Beauregard, Linear Algebra, third edition,
Addison - Wesley Publ. 1995

**
Topics to be covered:**
Matrices and systems of linear equations, linear transformations,
vector spaces, bases, determinants, eigenvalues and eigenvectors,
orthogonality.

**Homework:**

Homework 8: Section 4.2, exercises 7, 27, 32;
Section 4.3, exercises 3, 19, 29;
Section 5.1, exercises 3, 7, 9;
due: Tuesday June 22

Homework 7: Section 4.1, exercises 6,14,28;
due: Thursday June 17

Homework 6: Section 2.3, exercises 4,6,14,19;
Section 2.4, exercises 2,6;
due: Tuesday June 15

Homework 5: Section 1.6, exercises 18, 24;
Section 2.1, exercises 8, 26;
Section 2.2, exercises 2, 8;
due: Thursday June 10

Solutions to homework 5:
pdf
postscript

Homework 4: Section 1.5, exercises 6a, 11, 14, 20, 24;
Section 1.6, exercises 1, 4; due: Tuesday June 8

Homework 3: Section 1.4, exercises 17, 23, 24, 26 due: Thursday June 3

Homework 2: Section 1.2, exercises 3, 13, 23, 33, and

Show that for all vectors **a**, **b** in the euclidean n-space:
||**a**+**b**||^{2} + ||**a**-**b**||^{2} = 2||**a**||^{2}+
2||**b**||^{2}.

Section 1.3, exercises 13, 17, 19, 41, and 45

due: Tuesday June 1

Homework 1: Section 1.1, exercises 1, 9, 22 due: Thursday May 27

**Programs for Linear Algebra:**
Since the methods of linear algebra are widely applicable, there are many
programs for linear algebra. Our textbook contains a disk with program
LINTEK. There are several program systems widely available:
Matlab,
Maple, and
Mathematica.

To supplement our class material, you can find several Maple worksheets
demonstrating concepts covered in class below.
When going through the worksheets, I encourage you to modify the examples
there: