# 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: