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

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

**Instructor: **

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

**e****-mail
address**: sraianu@csudh.edu; URL: **http://www.csudh.edu/math/sraianu**;

**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** 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.

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 hea

**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 *F ^{n}*: (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 http://www.ping.be/math/ontaard.htm )

**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 |
Saturday-Thursday |
Late Registration, Add/Drop
(fees due 48 hours after registration) |

September 2 |
Monday |
Labor Day Holiday-Campus Closed, No Classes |

September 6, 12 pm |
Friday |
Instructor Drop Deadline |

September 12 |
Thursday |
Credit/No Credit and Audit Grading Deadline |

September 12 |
Thursday |
Fall Convocation |

September 12 |
Thursday |
Last Day to Drop from FT to PT Status with
Refund |

September 16 |
Monday |
Fall 2013 Graduation Application
Deadline (with late fee) |

September 23 |
Monday |
Student Census |

September 23 |
Monday |
Drop Without Record of
Enrollment Deadline |

September 24-November 14 |
Tuesday- Thursday |
Serious and Compelling Reason Required to
Drop/Withdraw |

October 1 |
Tuesday |
Spring 2014 Graduation
Application Deadline |

October 25 |
Friday |
Last Day for Pro-rata Refund of
Non-Resident Tuition and Tuition Fees |

October 28-January 1 |
Monday-Wednesday |
Winter 2014 Registration |

November 4-January 17 |
Monday-Friday |
Spring 2014 Registration |

November 11 |
Monday |
Veterans Day Holiday-Campus
Closed, No Classes |

November 15-December 5 |
Friday-Thursday |
Serious Accident/Illness Required to
Drop/Withdraw |

November 28-December 1 |
Thursday-Sunday |
Thanksgiving Holiday-Campus
Closed, No Classes |

November 29 |
Friday |
Thanksgiving Break-Campus Closed, No
Classes (Not a Holiday) |

December 6 |
Friday |
Last Day of Scheduled Classes |

December 7 |
Saturday |
Study Day |

December 7-13 |
Saturday-Friday |
Final Examination |

December 10 |
Tuesday |
Grade Submission Begin |

December 13 |
Friday |
Evaluation Day |

December 17, 3 pm* |
Tuesday |
Final Grades Due |

December 17 |
Tuesday |
Semester Ends |