MAT 331 Linear Algebra, Section 01, CN 20768 Spring 2013


Class meets MW 1:00 PM - 2:15 PM in SBS B137


Instructor: Serban Raianu

Office: NSM A-123; Office phone number: (310) 243- 3139

e-mail address:; URL:;

Office hours: Wednesday: 4:00 p.m.-5:00 p.m., Friday: 1:00 p.m.- 4:00 p.m., or by appointment.


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


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, attendance 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 due every Monday, 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, 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+: 67‑69; D: 60‑66; F: Less than 60.


Makeups: No makeup examinations or quizzes will be given. If you must miss an examination for a legitimate reason, discuss this, in advance, with me, and I may then substitute the relevant score from your final examination for the missing grade.


Accomodations for Students with Disabilities: Cal State Dominguez Hills adheres to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations for students with temporary and permanent disabilities. If you have a disability that may adversely affect your work in this class, I encourage you to register with Disabled Student Services (DSS) and to talk with me about how I can best help you. All disclosures of disabilities will be kept strictly confidential. Please note: no accommodation may be made until you register with the DSS in WH B250. For information call (310) 243-3660 or to use telecommunications Device for the Deaf, call (310) 243-2028.


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".)


Exam rules: Students must leave their CSUDH student ID on their desk for the duration of the exam. Cell phones, iPhones, iPods, or PDAs of any kind, as well as headphones, may not be used at all during a test. Students are discouraged from leaving the exam room during the period of the exam. Restroom breaks must be kept under five minutes and are limited to one/exam. You will be penalized 5 points if you are gone more than five minutes. No more than one student can be out of the room at any given time during an exam. If a student finds it necessary to leave the room under these circumstances, they are not permitted to access computer terminals, smoke, read notes/books, or talk with others. If a student is found engaging in this behavior, appropriate disciplinary action will be taken. Whenever a student leaves the room, they must turn their exam upside down on their desk. All book bags or similar items will be deposited in the front of the class for the duration of the test.



Tentative schedule and homework assignments

W 1/23:†††††††††† 1.1 Introduction to linear equations: (from 1.6) 3 (solve by elimination or substitution), 5, 13, 14, 17 a)

M 1/28:†††††††††† 1.2 Solving linear equations: 1, 2

W 1/30:†††††††††† 1.3 The Gauss-Jordan algorithm: 3, 10††††††††††

M 2/4:†††††††††††† 1.4 Systematic solution of linear systems: 4, 5, 11, 16

W 2/6:†††††††††††† 1.5 Homogeneous systems: 6, 7, 8, 9, 12, 15, 17 b)††

M 2/11: ††††††††† 2.1 Matrix arithmetic: (from 2.4) 1, 2, 3

W 2/13:†††††††††† Review†††††††††††

M 2/18:†††††††††† Presidents Day Holiday

W 2/20:†††††††††† Exam I†††††††††††

M 2/25:†††††††††† 2.2 Linear transformations: work out example 2.2.1 for θ =ϕ=ψ = π /4, examples 2.2.2 and 2.2.3 for θ = π /4

W 2/27:†††††††††† 2.3 Recurrence relations: 4, 5, 6, 7, 8, 9†††††††††

M 3/4: ††††††††††† 2.5 Non-singular matrices: (from 2.7) 1, 2, 3, 4, 5, 6, 13, 14

W 3/6: ††††††††††† 3.2 Subspaces of Fn: (from 3.6) 1, 2, 18††††††††

M 3/11:†††††††††† 3.3 Linear dependence: 3, 4, 13, 16

W 3/13:†††††††††† 3.4  Basis of a subspace: 5, 6, 7, 8, 9

M 3/18:†††††††††† 3.5 Rank and nullity of a matrix: 10, 14

W 3/20:†††††††††† Review†††††††††††

M 3/25:†††††††††† Exam II

W 3/27:†††††††††† 4 Determinants: (from 4.1) 1, 2, 3, 4, 5†††††††††

M 4/1:†††††††††††† Spring Recess

W 4/3:†††††††††††† Spring Recess

M 4/8:†††††††††††† 4 Determinants: 6, 8, 9, 10, 11, 12, 14

W 4/10:†††††††††† 6.1 Eigenvalues and eigenvectors. Motivation: 9, 10

M/4/15:†††††††††† 6.2 Definitions and examples: 1, 2, 3, 4

W 4/17:†††††††††† 7.1 The eigenvalue method: 1, 2††††††††

M 4/22:†††††††††† 7.1 The eigenvalue method: 3

W 4/24:†††††††††† 7.2 A classification algorithm: 4 (also see )

M 4/29:†††††††††† 7.2 A classification algorithm:5

W 5/1:†† ††††††††† Review†††††††††††

M 5/6:†††††††††††† Exam III

W 5/8:†††††††††††† Review†††††††††††

Final examination: Monday, May 13, 1:00 PM - 3:00 PM.



Important Dates:


January 19-February 8*


Change of Program and Add/Drop Deadline

January 21


Martin Luther King Jr. Holiday-Campus Closed

February 1


Instructor Drop Deadline

February 8


Credit/No Credit and Audit Grading Deadline

February 8


Last Day to Drop from FT to PT Status with Refund

February 15†††††††††††††


Drop without Record of Enrollment Deadline

February 15


Student Census

February 16-April 18


Serious and Compelling Reason Required to Drop/Withdraw

February 18


Presidentís Day Holiday-No Classes-Campus Open

March 27


Last Day for Pro-rata Refund of Non-Resident Tuition and Tuition Fees

April 1-April 6


Spring Recess (includes Cesar Chavez Holiday)

April 19-May 10*


Serious Accident/Illness Required to Drop/Withdraw

May 10


Last Day of Scheduled Classes

May 11


Study Day

May 11-May 17


Final Examination

May 14


Grades Submission Begin

May 17-May 18



May 21


Evaluation Day

May 22, 3 pm*


Final Grades Due

May 22


Semester/Academic Year Ends