MTH215 Intro to Linear Algebra

Summer 2003

Instructor: Lubos Thoma
Office: Tyler Hall 214, tel: 874.4451
Email: thoma@math.uri.edu

Important dates -- homework, exams:

• Homework 8:   Section 4.3: 16, 21, 29, 36;   Section 5.1: 4, 10, 22   due: Tuesday June 17

• We finished all material.

• Final exam will be given on Thursday June 19, 2003, in class.

Tutoring:       in Kingston:     Mon-Thu, 9 am -- 1 pm, Tyler Hall room 104B. (Subject to change.)
in Providence:     Tu: 1 pm -- 6 pm, Wed: 1 pm -- 6 pm, Th: 12 pm -- 6 pm, Shephard Building Room 240.

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
• worksheet on matrix multiplication (Section 1.3): multiply.mws
• worksheet on geometry and solving systems of linear equations (Section 1.4): linear_systems.mws

Homework:
Homework 1:   Section 1.1: 1,9,23;   Section 1.2: 3,   due: Thursday May 22
Homework 2:   Section 1.2: 13,23,40;   Section 1.3: 13,19,21,45   due: Tuesday May 27
Homework 3:   Section 1.4: 17,23,25;   due: Thursday May 29
Homework 4:   Section 1.5: 6a, 11, 20;   Section 1.6: 1, 4, 12;   due: Tuesday June 3
Homework 5:   Section 1.6: 17, 25, 31;   Section 2.1: 9, 27;   Section 2.2: 3; due: Thursday June 5
Homework 6:   Section 2.3: 1, 5, 14, 29;   Section 2.4: 20,
Find a formula for the projection on the line y=-2x in R^2 and find its range and its kernel;   due: Tuesday June 10
Homework 7:   Section 4.1: 6, 14, 28;   Section 4.2: 4, 8, 28   due: Thursday June 12

Syllabus:   postscript

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.
A detailed schedule and a list of suggested problems can be found   here.