MAT 331 Linear Algebra, Section 01, 21820, Spring 2018

Class meets MW 11:30 AM - 12:45 PM in SBS B215.

Instructor: Serban Raianu

Office: NSM E-108; Office phone number: (310) 243- 3139

Office hours: Monday, Wednesday, Friday: 8:50 AM - 9:50 AM, Friday: in the Toro Learning Center: 11:30 AM – 12:30 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 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, attendance and other assignments (15%) for the remainder.

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.

Accommodations 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 Student disAbility Resource Center (SdRC) 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 SdRC in WH D-180. 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

M 1/22: 1.1 Introduction to linear equations: (from 1.6) 3 (solve by elimination or substitution), 5, 13, 14, 17 a)

W 1/24: 1.2 Solving linear equations: 1, 2

M 1/29: 1.3 The Gauss-Jordan algorithm: 3, 10

W 1/31: 1.4 Systematic solution of linear systems: 4, 5, 11, 16

M 2/5: 1.5 Homogeneous systems: 6, 7, 8, 9, 12, 15, 17 b)

W 2/7: 2.1 Matrix arithmetic: (from 2.4) 1, 2, 3

M 2/12: Review

W 2/14: Exam I

M 2/19: Presidents’ Day Holiday

W 2/21: 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

M 2/26: 2.3 Recurrence relations: 4, 5, 6, 7, 8, 9

W 2/28: 2.5 Non-singular matrices: (from 2.7) 1, 2, 3, 4, 5, 6, 13, 14

M 3/5: 3.2 Subspaces of Fn: (from 3.6) 1, 2, 18

W 3/7: 3.3 Linear dependence: 3, 4, 13, 16

M 3/12: 3.4 Basis of a subspace: 5, 6, 7, 8, 9

W 3/14: 3.5 Rank and nullity of a matrix: 10, 14

M 3/19: Review

W 3/21: Exam II

M 3/26: Spring Recess

W 3/28: Spring Recess

M 4/2: 4 Determinants: (from 4.1) 1, 2, 3, 4, 5

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

M 4/9: 6.2 Definitions and examples: 1, 2

W 4/11: 6.2 Definitions and examples: 3, 4

M 4/16: 7.1 The eigenvalue method: 1, 2

W 4/18: 7.1 The eigenvalue method: 3

M 4/23: 7.2 A classification algorithm: 4 (also see http://home.scarlet.be/math/ontaard.htm )

W 4/24: 7.2 A classification algorithm:  5

M 4/30: Review

W 5/2: Exam III

M 5/7: Review

W 5/9: Review

Final examination: Wednesday, May 16, 11:30 AM - 1:30 PM.

Important Dates: