MAT 331 Elementary Linear Algebra, # 25755, Spring 2005
Class
meets MW
Instructor:
e-mail address: sraianu@csudh.edu, , URL: http://www.csudh.edu/math/sraianu;
office hours: Monday, Wednesday
Course
Description: MAT 331,
Elementary Linear Algebra,
covers Chapters 1-7 from the textbook: linear equations, vector
spaces, matrices, linear transformations, determinants, eigenvalues,
eigenvectors, etc.
Text: Elementary Linear Algebra, 4th edition by Larson and Edwards, Houghton Mifflin, 2004.
Objectives: After completing MAT 331 the student
should be able to: solve systems of linear equations; add, multiply matrices,
find the inverse of an invertible matrix; evaluate determinants; work with
vectors, identify bases of vector spaces, find eigenvalues
and eigenvectors of linear transformations.
Prerequisites: MAT 271 or equivalent with a grade of
"C" or better.
Grades:
Grades will be based on
three in‑class full‑period examinations (60% total), a
comprehensive final examination (25%), and quizzes, homework, and other
assignments (15%) for the remainder. The exact grading system for your section
is the following: each of the three full-period exams will be graded on a 100
scale, then the sum of the scores is divided by 5 and denoted by E. Homework
will be collected every class meeting, and each homework is worth 5 points. No
late homework will be accepted. The average of all homework scores is denoted
by H.
5 to 10 minutes quizzes will be given in
principle every class meeting, with the exception of the review and exam days,
and will be graded on a scale from 1 to 5. The average of the quizzes scores is
denoted by Q. There are also 5 points awarded for attendance and class
participation, this portion of the grade is denoted by A. The final exam will
be graded out of a maximum possible 200, then the
score is divided by 8 and denoted by F.
To determine your final grade compute
E+H+Q+A+F. The maximum is 100, and the grade will be given by the rule:
A: 93‑100; A‑: 90‑92; B+: 87‑89; B: 83‑86; B‑: 80‑82
C+: 77‑79; C: 73‑76; C‑: 70‑72; D: 60‑69; F: Less than 60.
Makeup’s: No makeup examinations or quizzes will
be given. If you must miss an examination for a legitimate reason, discuss
this, in advance, with your instructor, who may then substitute the relevant
score from your final examination for the missing grade.
Students
with Disabilities:
Students who need special consideration because of any sort of disability are
urged to see their instructor as soon as possible.
Academic Integrity: The mathematics department does not
tolerate cheating. Students who have questions or concerns about academic
integrity should ask their professors or the counselors in the Student
Development Office, or refer to the University Catalog for more information.
(Look in the index under "academic integrity".)
Tentative schedule:
M 1/24: 1.1. Introduction to Systems of Linear
Equations: (odd numbers only) 1-3,7-9,13-15,27-33,37-45;
1.2. Gaussian & Gauss-Jordan Elimination: (odd only) 1-31
W 1/26: 2.1. Operations with Matrices: (odd)
1-17, 21-25, 27,29
M
1/31: 2.2. Properties of
Matrix Operations: (odd) 1-25, 29-37
W
2/2: 2.3. The Inverse of
a Matrix: (odd) 1-19,25 a),c), 27) a), 31,33
M 2/7: 2.4. Elementary Matrices: (odd) 1-27
W 2/9: 3.1. The Determinant of a Matrix: (odd)
1-31,41-43
M 2/14: 3.2. Evaluation of a Determinant Using
Elementary Operations: (odd) 1-29
W 2/18: 3.3. Properties of Determinants: (odd)
1-13
M 2/21: Presidents’ Day
W 2/23: Review
M 2/28: Exam I
W 3/2: 4.1. Vectors in Rn : (odd) 1-21; 4.2. Vector Spaces: (odd) 1-25
M
3/7: 4.3. Subspaces of
Vector Spaces: (odd) 1-19
W
3/9: 4.4. Spanning Sets
and Linear Independence: (odd) 1-27,33
M 3/14: 4.5. Basis and Dimension: (odd) 1-33
W 3/16: 4.6. Rank of a Matrix and Systems of
Linear Equations: (odd) 1-23,27,29
M 3/21: 4.7. Coordinates and Change of Basis: (odd)
1-19
W 3/23: 5.1. Length and Dot Product in Rn : 1-31,45-63
M 3/28: Spring
Recess
W 3/30: Spring Recess
M 4/4: 5.2. Inner Product Spaces: (odd) 1-19,31-35
W 4/6: 5.3. Orthonormal
Bases: Gram-Schmidt Process: (odd) 1-9,19-25; 5.5. Applications of Inner Product Spaces:
(odd) 1-7,13-19,20
M 4/11: Review
W 4/13: Exam II
M 4/18: 6.1. Introduction to Linear Transformations:
(odd) 1-3,7-11,15-12; 6.2. The Kernel and Range of a Linear Transformation: (odd) 1-19,25-31
W
4/20: 6.3. Matrices for
Linear Transformations:
(odd) 1-23,29-39
M
4/25: 7.1. Eigenvalues and Eigenvectors: (odd) :1-23
W
4/27: 7.2. Diagonalization: (odd) 1-3, 13-31
M
5/2: 7.3. Symmetric Matrices and Orthog. Diagonalization: (odd) 1-15,21-25
W
5/4: Review
M
5/9: Exam III
W
5/11: Review
Final
exam: Wednesday, May 18,