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.
A link to practice problems with answers.
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.