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:

We finished Section 6.2.
We will have our final exam Thursday June 24, 2004. Here are practice problems postscript pdf and answers
Clay Mathematics Institute: millennium problems

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:

a quick guide on linear algebra functions in maple can be found here
here is a worksheet on matrix multiplication (Section 1.3): multiply.mws
here is a worksheet on geometry and solving systems of linear equations (Section 1.4): linear_systems.mws
this is a complete set of Maple lessons for a course in linear algebra