COLLIN COUNTY COMMUNITY COLLEGE DISTRICT Fall 2004
COURSE SYLLABUS
COURSE NUMBER: Math 2373
COURSE TITLE: Matrices, Vectors, and Linear Programming
CREDIT HOURS: 3 LECTURE HOURS: 3 LAB HOURS: 0 CLN/REC: 0
PREREQUISITE: Math 1314 or 1414
COREQUISITE: None
TEXTBOOK: Linear Algebra with Applications, 5th ed., Gareth Williams, © 2005 by Jones and Bartlett Publishers, Inc.
SUPPLIES: Graphing calculator required
COURSE
DESCRIPTION:
Not for science majors. A study of matrices, vectors, determinants, inverses, system of linear equations, and linear programming with applications.
COURSE
LEARNING OBJECTIVES:
The student will be able to use the basic concepts of linear algebra to solve various application problems in the areas of business and economics. Course activities and knowledge objectives address increasing each student's competency in reading,
writing, critical thinking and analysis. Experiential learning activities are utilized as a means of instruction in laboratory components of courses and through research, class projects, and skill building exercises with problem analysis. The SCANS skill building philosophy of establishing a foundation of basic skills, thinking skills, and
personal qualities are addressed, as reported above, in each course. The mastery of five identified competencies; resource identification, interpersonal skills, information acquisition and use, systems understanding and use, and knowledge of current technology is necessary to complete course requirements.
COURSE
REQUIREMENTS:
Attending lectures, completing assignments, completing required exams, and a basic knowledge of calculator use are all required.
COURSE
FORMAT:
Lecture and guided practice
METHOD
OF EVALUATION:
A minimum of 4 written exams and a comprehensive final exam. Homework and/or quizzes may be used in place of one exam or in addition to exams. The weight of each of these components of evaluation will be specified in the individual instructor's addendum to the syllabus.
ATTENDANCE
POLICY:
Attendance is expected of all students. If a student is unable to attend, it is his/her responsibility to contact the instructor to obtain assignments. Please see the schedule of classes for the last day to withdraw.
RELIGIOUS HOLIDAYS:
refer to Section 2 Policies and Procedures, Sub-section 2.23 Religious Holidays in the current CCCCD Student Handbook.
It is
the policy of
ACADEMIC
ETHICS:
The college may initiate disciplinary proceedings against a student accused of scholastic dishonesty. Scholastic dishonesty includes, but is not limited to, statements, acts, or omissions related to applications for enrollment or the award of a degree, and/or the submission of material as one’s own work that is not one’s own. Scholastic dishonesty may involve one or more of the following acts: cheating, plagiarism, collusion, and/or falsifying academic records. Cheating is the willful giving or receiving of information in an unauthorized manner during an examination, illicitly obtaining examination questions in advance, using someone else’s work for assignments as if it were one’s own, copying computer disks or files, and any other dishonest means of attempting to fulfill the requirements of a course. Plagiarism is the use of an author’s words or ideas as if they were one’ s own without giving credit to the source, including, but not limited to, failure to acknowledge a direct quotation. Contact the Dean of Students at 972.881.5771 for the student disciplinary process and procedures or consult the CCCCD Student Handbook.
COURSE
CONTENT:
Module
1: Systems of Linear Equations
The student will learn about:
1. Matrices and Systems of Linear Equations
2. Gauss-Jordan Elimination Method
Module
2: Matrices
The student will learn a bout:
1. Addition, Scalar Multiplication, and Multiplication of Matrices
2. Properties of Matrix Operations
3. Symmetric Matrices and Seriation in Archaeology
4. The Inverse of a Matrix and Cryptography
5. The Leontief Input-Output Model in Economics
6. Markov Chain, Population Movements, and Genetics
7. Communication Model and Group Relations in Sociology
Module
3: Determinants
The student will learn about:
1. Computing Determinants of 2× 2 and 3× 3 Matrices
2. Properties of Determinants
3. Numerical Evaluation of Determinants
4. Matrix Inverses and Systems of Linear Equations
Module
4: General Vector Spaces
The student will learn about:
1. Vectors, Dot Product, Norm, Angle, and Distance
2. Vector Spaces and Subspaces
3. Linear Combination of Vectors
4.
Linear Dependence and
5. Bases and Dimension of Vectors
6. Rank of a Matrix
Module
5: Numerical Techniques
The student will learn about:
1. The Gaussian Elimination Method
2. Iterative Methods for Solving Systems of Linear Equations
Module
6: Linear Programming
The student will learn about:
1. Linear Programming Concepts
2. The Simplex Method
3. Geometrical Explanation of the Simplex Method
Revised
August 2004