MAT 331 Linear Algebra, Section 01, CN 41230 Fall 2013


Class meets TuTh 7:00 PM - 8:15 PM in SBS A144


Instructor: Serban Raianu

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

e-mail address:; URL:;

Office hours: Monday, Tuesday, Wednesday, Thursday: 5:55 PM – 6:55 PM, 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


Tu 8/27:          1.1 Introduction to linear equations: (from 1.6) 3 (solve by elimination or substitution), 5, 13, 14, 17 a)

Th 8/29:          1.2 Solving linear equations: 1, 2

Tu 9/3:            1.3 The Gauss-Jordan algorithm: 3, 10          

Th 9/5:            1.4 Systematic solution of linear systems: 4, 5, 11, 16

Tu 9/10:          1.5 Homogeneous systems: 6, 7, 8, 9, 12, 15, 17 b)  

Th 9/13:          2.1 Matrix arithmetic: (from 2.4) 1, 2, 3

Tu 9/17:          Review           

Th 9/19:          Exam I           

Tu 9/24:          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

Th 9/26:          2.3 Recurrence relations: 4, 5, 6, 7, 8, 9         

Tu 10/1:          2.5 Non-singular matrices: (from 2.7) 1, 2, 3, 4, 5, 6, 13, 14

Th 10/3:          3.2 Subspaces of Fn: (from 3.6) 1, 2, 18        

Tu 10/8:          3.3 Linear dependence: 3, 4, 13, 16

Th 10/10:        3.4  Basis of a subspace: 5, 6, 7, 8, 9 

Tu 10/15:        3.5 Rank and nullity of a matrix: 10, 14

Th 10/17:        Review           

Tu 10/22:        Exam II

Th 10/24:        4 Determinants: (from 4.1) 1, 2, 3, 4, 5         

Tu 10/29:        4 Determinants: 6, 8, 9, 10, 11, 12, 14

Th 10/31:        6.1 Eigenvalues and eigenvectors. Motivation: 9, 10 

Tu 11/5:          6.2 Definitions and examples: 1, 2

Th 11/7:          6.2 Definitions and examples: 3, 4     

Tu 11/12:        7.1 The eigenvalue method: 1, 2

Th 11/14:        7.1 The eigenvalue method: 3

Tu 11/19:        7.2 A classification algorithm: 4 (also see )

Th 11/21:        7.2 A classification algorithm:  5

Tu 11/26:        Review

Th 11/28:        Thanksgiving Holiday        

Tu 12/3:          Exam III

Th 12/5:          Review           


Final examination: Tuesday, December 10, 7:00 PM - 9:00 PM.

















Important Dates:


August 24-September 12


Late Registration, Add/Drop (fees due 48 hours after registration)

September 2


Labor Day Holiday-Campus Closed, No Classes

September 6, 12 pm


Instructor Drop Deadline

September 12


Credit/No Credit and Audit Grading Deadline

September 12


Fall Convocation

September 12


Last Day to Drop from FT to PT Status with Refund

September 16


Fall 2013 Graduation Application Deadline (with late fee)

September 23


Student Census

September 23


Drop Without Record of Enrollment Deadline

September 24-November 14

Tuesday- Thursday

Serious and Compelling Reason Required to Drop/Withdraw

October 1


Spring 2014 Graduation Application Deadline

October 25


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

October 28-January 1


Winter 2014 Registration

November 4-January 17


Spring 2014 Registration

November 11


Veterans Day Holiday-Campus Closed, No Classes

November 15-December 5


Serious Accident/Illness Required to Drop/Withdraw

November 28-December 1


Thanksgiving Holiday-Campus Closed, No Classes

November 29


Thanksgiving Break-Campus Closed, No Classes (Not a Holiday)

December 6


Last Day of Scheduled Classes

December 7


Study Day

December 7-13


Final Examination

December 10


Grade Submission Begin

December 13


Evaluation Day

December 17, 3 pm*


Final Grades Due

December 17


Semester Ends