Spring 2017 Chui Z Yao

MATH 3

Linear Algebra

TEXT: Elementary Linear Algebra 11th edition

By Howard Anton

John Wiley & Sons, Inc.

Instructor: Chui Z Yao

Office: SA 106 Office Hours: M & W 9:30-10:25 am

Office Phone Number: (951) 571-6428 W 1:150 pm, T 4:35-5:25 pm; R 4:35-6 pm

Email address: Webpage:websites.rcc.edu/yao/

See the instructor after your class if you have questions or problems. You may also enroll ILA-800 to get help in the Math Lab. The Math Lab is located at Humanities 220.

COURSE DESCRIPTION:

This course is an introduction to matrix algebra with vector spaces and linear transformations. Emphasis will be placed on the student’s understanding of the materials, as opposed to completing the entire text. Some of the topics that will be covered in this class include matrix algebra, determinants, systems of linear equations, vector spaces, linear independence, linear transformations, eigenvalues and eigenvectors, and applications.

COURSE REQUIREMENTS AND EXPECTATIONS:

HOMEWORK: Homework will be assigned from the problem sets in the textbook. You are expected to work and complete the assigned problems on the required dates as outlined on the assignment sheet. Homework will be collected on the dates of a quiz or an exam all quiz and exam problems are similar to assigned homework, so it is important for you to do your homework regularly and no late homework assignments will be accepted.

EXAMS: Exams are closed book. Calculators will NOT be allowed on exams. Be prepared to take the exam. If you are caught cheating on an exam, you will receive a zero score for the exam.

*** Students will not be permitted to make up an exam unless they have a documented legitimate reason and contact the instructor prior to the exam.

MAKEUP: Work missed for unavoidable cause may be made up with the instructor’s approval. Under no circumstances will absence for any reason excuse the student from completing all works assigned in a given course. After an absence, it is the responsibility of the student to check with the instructor regarding the completion of missed assignments.

GRADING: Incomplete will not be given.

• Exams 55%

• Homework 15%

• Final exam 30% (This is a cumulative exam and student must take it to pass.)

Your course grade earned is based upon the following percentages:

·  A 90% or above

·  B 80% or above

·  C 70% or above

·  D 60% or above

·  F below 60%

·  FW If you do not take Final Exam

STUDENT LEARNING OBJECTIVES FOR THIS COURSE:

Upon successful completion of the course, students should be able to:

1.  Solve systems of linear algebraic equations using Gaussian elimination or Cramer’s rule.

2.  Calculate and apply determinants to a variety of problems including but not limited to areas, volumes, and cross products.

3.  Determine the rank and the dimension of the kernel for a matrix operator.

4.  Find bases for the range and the kernel of linear operators.

5.  Find Eigenvalues and related Eigenvectors for a square matrix.

6.  Use the Gram-Schmidt process to produce an orthonormal.

7.  Use an orthonormal basis to diagonalize a square matrix.

8.  Prove fundamental theorems in linear algebra.

ATTENDANCE: All students are expected to attend every session of every course in which they are enrolled. Failure to do so may indicate lack of serious purpose. If you quit attending, it is up to you to drop the class. The instructor will not assume the responsibility of withdrawing the student from the class. However, the instructor reserve the right to drop the student who has more than three absents.

STUDENT WITH A DISABILITY: If you have a documented disability and wish to discuss academic accommodations, please contact Disability Support Services (DSS). DSS is located in the Library 230 and its phone numbers are 951-571-6138 (Voice) and 951-571-6140 (TDD).

INSTRUCTOR’S POLICY:

1)  Be prepared to work and ask questions!

2)  Do not talk unnecessarily in class, but do ask question.

3)  No food or drink is permitted in the classroom at any time.

4)  Be on time and do not leave before being dismissed.

5)  Turn off all cellular phones and pagers before entering the classroom.

6)  Cheating policy: automatic “F” on the assignment/exam in question.

Instructor reserve the right to change and modify the syllabus.