Angelina College
Division of Science and Mathematics
MATH 2118 – Linear Algebra
Tentative Instructional Syllabus – Spring 2014
I.
BASIC COURSE INFORMATION:
A. Linear Algebra – MATH 2118 – Introduces and provides models for the application of the concepts of vector
algebra. Topics includes vector spaces; representing and solving systems of linear equations using multiple
methods; matrices; determinants; linear transformations; and eigenvalues and eigenvectors. 1.5 lecture hours
per week for ten weeks.
Prerequisite: MATH 2412 – Calculus II
Co-requisite: MATH 2320 – Differential Equations
B. The intended audience is engineering majors currently enrolled in MATH 2320 Differential Equations who plan
to transfer to universities requiring a linear algebra component.
C. Instructor: Amy Barker
Office Location: S 203A
Office Hours: MTR 2:00 – 3:15, MTWR 10:50 – 11:25
Phone: (936) 633-5361
E-mail: abarker@angelina.edu
II. INTENDED STUDENT OUTCOMES
Course Learning Outcomes for all Sections
Upon successful completion of the course, students will:
1. Be able to solve systems of linear equations using multiple methods, including Gaussian elimination and
matrix inversion.
2. Be able to carry out matrix operations, including inverses and determinants.
3. Demonstrate understanding of the concepts of vector space and subspace.
4. Demonstrate understanding of linear independence, span, and basis.
5. Be able to determine eigenvalues and eigenvectors and solve problems involving eigenvalues.
6. Apply principles of matrix algebra to linear transformations.
III. ASSESSMENT MEASURES
Assessments for Course Learning Outcomes
1. Students will solve systems of linear equations using multiple methods, including Gaussian elimination and
matrix inversion, within embedded test questions.
2. Students will carry out matrix operations, including inverses and determinants, within embedded test
questions.
3. Students will demonstrate understanding of the concepts of vector spaces and subspaces within embedded
test questions.
4. Students will demonstrate understanding of linear independence, span, and basis within embedded test
questions.
5. Students will determine eigenvalues and eigenvectors and solve problems involving eigenvalues within
embedded test questions.
6. Students will apply principles of matrix algebra to linear transformations within embedded test questions.
IV. INSTRUCTIONAL PROCEDURES:
The course is taught using a combination of lectures, discussions, and practice exercises.
V. COURSE REQUIREMENTS AND POLICIES:
A. Required Textbooks and Recommended Readings, Materials and Equipment
1. Elementary Linear Algebra with Applications, ninth edition, Kolman and Hill (Pearson)
2. Graphing calculator capable of matrix operations (Instructor will use TI-84)
B. Course Policies – This course conforms to the policies of Angelina College as stated in the Angelina College
Handbook.
1. Academic Assistance – If you have a disability (as cited in Section 504 of the Rehabilitation Act of 1973 or
Title II of the Americans with Disabilities Act of 1990) that may affect your participation in this class, you
should see Karen Bowser, Room 208 of the Student Center. At a post-secondary institution, you must selfidentify as a person with a disability; Ms. Bowser will assist you with the necessary information to do so. To
report any complaints of discrimination related to disability, you should contact Dr. Patricia McKenzie,
Administration Building, Room 105 or 936-633-5201.
2. Attendance – Attendance is required as per Angelina College Policy and will be recorded every day. Any
student with three (3) consecutive absences or four (4) cumulative absences may be dropped from the class.
Records will be turned in to the academic dean at the end of the semester. Do not assume that nonattendance in class will always result in an instructor drop. You must officially drop a class or risk receiving
an F. This is official Angelina College Policy.
Those who drop the course on or before February 5th will not receive a grade for the class. Those dropping
between February 5th and April 7th (inclusive) will receive a W in the course. April 7th is the last day for
dropping a course.
3. Additional Policies Established by the Instructor
STUDENT CONDUCT
A positive environment for learning will be maintained by students being courteous to each other and to the
instructor.
Repeated tardiness will result in warning; if continued this will result in further action depending on upon
seriousness of problem.
Cheating on tests is not tolerated as per Angelina College policy and may result in expulsion from the course.
Plagiarism is not tolerated and will result in a zero for any assignment in which it is detected.
CELL PHONES
Cell phones and pagers must be turned off or on the silent mode. Students may not have access to cell
phones during quizzes or tests.
VI. COURSE OUTLINE:
See attached COURSE OUTLINE
VII. EVALUATION AND GRADING:
A. Your grade will be assessed by:
1. Homework – 200 points
2. Final Exam – 200 points
B. Homework will be assigned in class and will be due at the beginning of the next class meeting. All relevant work
must be shown to receive credit for any homework problem.
The instructor may modify the provisions of the syllabus to meet individual class needs by informing the class in
advance as to the changes being made.
MATH2118 COURSE OUTLINE
Sections:
1.1 Systems of Linear Equations
1.2 Matrices
1.3 Matrix Multiplication
1.4 Algebraic Properties of Matrix Operations
1.5 Special Types of Matrices and Partitioned Matrices
1.6 Matrix Transformations
2.1 Echelon Form of a Matrix
2.2 Solving Linear Systems
2.3 Elementary Matrices; Finding A-1
2.4 Equivalent Matrices
3.1 Definition of Determinant
3.2 Properties of Determinants
3.3 Cofactor Expansion
3.4 Inverse of a Matrix
4.1 Vectors in the Plane and 3-Space
4.2 Vector Spaces
4.3 Subspaces
4.4 Span
4.5 Linear Independence
4.6 Basis and Dimension
4.7 Homogeneous Systems
4.8 Coordinates and Isomorphisms
4.9 Rank of a Matrix
6.1 Definition and Examples of Linear Transformations and Matrices
6.2 Kernel and Range of a Linear Transformation
6.3 Matrix of a Linear Transformation
7.1 Eigenvalues and Eigenvectors