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Instructor : Dr. Peh Ng --
Time : 11am - 11:50 MT ThF
Venue : SS136
Quarter : Spring 1997
OFFICE: Sci 241
OFFICE HOURS: Monday - Friday : 10:00 - 10:50am or by appointment
PHONE: 589-6318 or 589-6300
E-MAIL: pehng@morris.umn.edu
COURSE MATERIALS:
Class notes, handouts
& textbook: Elementary Linear Algebra by B. Kolman.
PRE-REQUISITES FOR THIS COURSE:
MA1203 & willingness to think analytically.
MATERIAL COVERED:
1. Linear Equations and Matrices.
Matrices and types of matrices; matrix operations and their algebraic properties; systems of linear equations; inverses of square matrices.
2. Real Vector Spaces.
Vector spaces; subspaces; geometric interpretation of some vector
spaces; linear
independence; basis and dimension (rank in relation to matrices);
coordinate basis; homogeneous systems and kernel of a matrix;
inner-product on vector spaces, in particular, on
and .
3. Linear Transformations and Matrices.
Definitions; examples; properties, kernel and range of a linear transformation; matrix representations of linear transformations; connections between linear transformations and their matrices.
4. Determinants.
Determinants of square matrices; properties of determinants;
cofactor expansions; some applications -
cross-product in .
5. Eigenvalues and Eigenvectors.
Eigenvectors; eigenvalues; characteristic values and
characteristic polynomials;
diagonalization of linear transformations
and their matrices; applications; eigenspaces (if time permits...).
GRADING:
1. Two exams - 100 points each. 200 points
2. Final exam (see UMM bulletin) 150 points
3. Homework 150 points
( Policy: Homework will be assigned almost daily,
and collected
almost every Tuesday and Friday; a subset of the problems will be graded.
Except for legally documented extenuating circumstances,
there will be
NO EXCUSES for late assignments will be accepted in this course.
Only legible and neatly written assignments will be awarded
partial credit. )
GUARANTEED GRADE: IF YOUR TOTAL SCORE (x) IS:
A 450 <=x<= 500 points
B 400 <= x <= 449 points
C 350 <=x<= 399 points
D 300 <=x <= 349 points
PLEASE FEEL WELCOME TO SEE ME OUTSIDE OF THE
CLASS, ANY TIME, IF YOU HAVE QUESTIONS, PROBLEMS, OR COMMENTS
PERTAINING THE COURSE WORK.
Back to Peh's Teaching Page
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Peh H. Ng
Wed Sep 25 19:13:06 CDT 1996