MAT 331 Elementary Linear Algebra, # 20103, Spring 2006
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 1-4, 6-7 from the textbook: linear equations, vector spaces, matrices, linear transformations, determinants, eigenvalues, eigenvectors, etc.
Text: Elementary Linear Algebra, by Keith Matthews, available online at http://www.numbertheory.org/book/
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 three times, on the days of the three exams, 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 Monday, 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 1/23: 1.1 Introduction to linear equations
W 1/25: 1.2 Solving linear equations
M 1/30: 1.3 The Gauss-Jordan algorithm
W 2/1: 1.4 Systematic solution of linear systems
M 2/6: 1.5 Homogeneous systems
W 2/8: 2.1 Matrix arithmetic
M 2/13: Review
W 2/15: Exam I
M 2/20: Presidents’ Day
W 2/22: 2.2 Linear
transformations
M 2/27: 2.3 Recurrence
relations
W 3/1: 2.5 Non-singular
matrices
M 3/6: 3.2 Subspaces of Fn
W 3/8: 3.3 Linear dependence
M 3/13: 3.4 Basis of a subspace
W 3/15: 3.5 Rank and nullity of a matrix
M 3/20: Review
W 3/22: Exam II
M 3/27: Spring Recess
W 3/29: Spring Recess
M 4/3: 4 Determinants
W 4/5: 4 Determinants
M 4/10: 6.1 Eigenvalues and eigenvectors. Motivation
W 4/12: 6.2 Definitions and examples
M 4/17: 7.1 The
eigenvalue method
W 4/19: 7.2 A classification algorithm
M 4/24: Review
W 4/26: Exam III
M 5/1: 8.1 Three-dimensional geometry.
Introduction
W 5/3: 8.2 Three-dimensional space
M 5/8: 8.3 Dot product
W 5/10: Review
Final exam: Wednesday, May 17,