Syllabus

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Southern Arkansas University

Course Syllabus

Fall 2015

Course Number and Title: Math 2753, Linear Algebra

College or Department: CST--Math and Computer Science

Instructor: John Hutchens

Contact Number: (870) 235-4914

Email: jdhutchens@saumag.edu

Office Hours & Location: M W 9:00-10:00am Wilson 228

Format: F-to-F (0-24% online)

Weeks in length: 15

Class Meetings per term:

Hours per class meeting:

Credit hours awarded: 3

Course Time & Location:

31

1.33

TR11:00-12:20, Wilson 208

Credit Hour Description

For every course credit hour of a 15-17 week semester, the typical student should expect to spend approximately 45 clock hours per term of concentrated attention on course-related work, including but not limited to time engaged in class, as well as out-of-class time spent reading, reviewing, organizing notes, preparing for upcoming quizzes/exams, problem solving, developing and completing projects, and other activities that enhance learning.

University Mission Statement

The mission of Southern Arkansas University is to educate students for productive and fulfilling lives in a global environment by providing opportunities for intellectual growth, individual enrichment, skill development, and meaningful career preparation. The University believes in the worth of the individual and accepts its responsibility for developing in its students those values and competencies essential for effective citizenship in an ever-changing, free, and democratic society. Further, the University encourages and supports excellence in teaching, scholarly, and creative endeavors, and service.

College Mission Statement

The purpose of the College of Science and Technology is to educate students in the basic and applied natural sciences, mathematics, computer science, agriculture, and nursing to prepare them to enter industrial, governmental, and professional careers as well as advanced degree studies.

Department Mission Statement

The mission of the department is seven-fold. One is to prepare students for careers in both mathematics and computer science. Another is to prepare students for advanced graduate training in both mathematics and computer science. A third is to prepare elementary, middle-school, and secondary teachers in the content areas of mathematics and computer science which are essential to their bachelor of science in education program. A fourth is to prepare graduate students in the content area of mathematics essential for the master of education degree. A fifth is to provide both minor programs to support a variety of major programs and service courses in mathematics and computer science in support of other departmental major and minor programs. A sixth is to support the general education program. The final mission is to offer developmental courses to prepare students for college-level mathematics.

Learning Goals and Course Content

University Learning Goal: LG 3--Critical Thinking

Department or Program Learning Goal: Graduates will be able to state and apply mathematical definitions and prove fundamental theorems.

Course Description:

Prerequisite: Math 1545. A study of linear vector spaces. Includes linear mappings and matrix representations, bases and orthonormality, and eigenvalues and eigenvectors. Applications to systems of linear equations, linear operators, and geometry.

Course Content: Linear Equations and Matrices, Determinants, Vectors, Real Vector Spaces, and Eigenvalues and Eigenvectors.

Course Learning Goal(s):

Students will learn skills and concepts related to Linear Algebra. They will use these skills and concepts to solve the subject's practical or applied problems.

Course Learning Objective(s): Upon completion of this course, students should be able to:

Solve problems related to Linear vector spaces, Systems of linear equations, and eigenvalues and eigenvectors.

Needed Resources

To successfully complete this course, you will need:

Linear Algebra, Jim Hefferon is the required textbook. It is available free online as a pdf here: http://joshua.smcvt.edu/linearalgebra/book.pdf

Grading Policies:

Remarks: Students are responsible for announcements made in class concerning the course and the material discussed in class, homework assignments, and test or quiz dates. I reserve the right to make any changes or additions to these remarks on the syllabus.

o Tests o HW/quiz avg.

18.75% each

18.75% o Final exam 20% o Class participation 5%

Grading Scale: A [100, 90]; B (90, 80]; C (80, 70]; D (70, 60]; F (60,0]

Additional University Policies

Disability Support Services: It is the policy of SAU to accommodate students with disabilities, pursuant to federal law, state law, and the

University's commitment to equal education opportunities. Any student with a disability who needs accommodation should inform the instructor at the beginning of the course. Students with disabilities are also encouraged to contact the Office of Disabilities Support

Services, Reynolds, Room 216, 870-235-4154.

Academic Integrity Policy: Academic integrity at SAU is an organizational and individual responsibility to honesty in all learning experiences.

Any act of dishonesty in academic work constitutes academic misconduct and is subject to disciplinary action. Acts of dishonesty include, but are not limited to:

A.

Plagiarism--the act of taking and/or using the ideas, work, and/or writings of another person as one’s own.

B.

Cheating--an act of dishonesty with the intention of obtaining and/or using information in a fraudulent manner.

C.

Fabrication--faking or forging a document, signature or findings of a research project.

Supplemental Information

The following calendar is subject to change:

1

Course Calendar

Topic

Gauss’s method

Solution set

G = P + H

Linear geometry

Hours

1

1

1

1

2

1

TEST 1

TEST 2

TEST 3

2

3

Length and angle measure

Reduced echelon form

TEST 1

Vector spaces

Subspaces

Linear independence

Basis

Dimension

Linear system

Combining subspaces

TEST 2

Isomorphisms

Isomorphisms and

Dimension

Homomorphisms

Range space and null space

Computing linear maps

TEST 3

Matrix operations

Final Exam: Thursday December 10, 8:00am – 9:50 am

1

1

1

2

1

1

1

2

2

1

1

2

2

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