I. COURSE DESCRIPTION
This course is designed for students who are majoring in secondary mathematics education, mathematics,
science or engineering. This course provides a thorough treatment of linear algebra using a matrix-oriented
approach. Major topics include: matrices, systems of linear equations, linear transformations, determinants,
eigenvectors and eigenvalues, vector spaces, subspaces, inner product spaces, and orthogonality. Emphasis is
on gaining a deep understanding of the subject matter through the use of technology and application projects;
emphasis is also given to development of algebraic reasoning abilities in analyzing conceptual relationships.
This course addresses specific Sunshine State Standards, subject matter competencies and pedagogy
pertinent to the discipline and required for certification.
II. MAJOR LEARNING OUTCOMES
1. The student will demonstrate an understanding of matrices and their properties and operations.
2. The student will demonstrate an understanding of systems of linear equations.
3. The student will demonstrate an understanding of linear transformations.
4. The student will demonstrate an understanding of determinants and their properties.
5. The student will demonstrate an understanding of eigenvectors and eigenvalues.
6. The student will demonstrate an understanding of vector
spaces, subspaces and inner product
7. The student will demonstrate an understanding of vector orthogonality and its applications.
III. REQUIRED TEXTBOOK(S), RESOURCES AND MATERIALS
A. Required Textbooks
Elementary Linear Algebra, 6th ed. (Enhanced edition), Larson & Falvo (2009),
Cengage(Brooks/Cole) Publishers, ISBN-13: 978-1-439-04400-1
B. Supplemental Material
Student Solutions Guide - Elementary Linear Algebra, Larson (2003), Cengage(Brooks/Cole)
Publishers, ISBN-13: 978-0618335688
Paper, pen, pencils
IV. COURSE REQUIREMENTS & EXPECTATIONS
A. School Based Hours Course Requirements
There are no school-based hours for this course
B. Required Assessments
• Final Exam** (Additional Element: 10)
**These assignments must be mastered in order to pass the
class. If an assignment does not receive a
grade of C or above, the instructor will work with the student to improve the understanding of the
concept and performance of the assignment. The assignment must be corrected and resubmitted and
cannot receive a grade higher than a C. In the event of proven cheating or plagiarizing on any FEAPs
assignment, the student will, at minimum, receive a non-passing grade, not a withdrawal, for the course.
V. CALENDAR AND TOPICAL OUTLINE
• Properties of Matrices
• Operations on Matrices
• Systems of Linear Equations
• Linear Transformations
• Vector Spaces
• Inner Product Spaces
• Vector Orthogonality
• Applications of Vector Orthogonality
VI. SYLLABUS STATEMENTS COMMON TO ALL COE SYLLABI
A. COE Syllabus Statements:
B. SPC Syllabus Statements:
Each student must read all topics within this syllabus related to the course
sections I-V) and the content of the syllabus statements common to all COE syllabi
(found in the links under section VI). If the student needs clarification on any items in
the syllabus or linked statements, he/she should contact the course instructor.
Larson Linear Algebra, 6th edition
eoo means every other odd
For each test unit, up to 3 proofs of even numbered problems given after the
last assignment number may
be turned in for extra credit as well.
|1.2||1-36 odd, 43-49 odd|
|1.3||9, 13, 19, 21, 25|
|2.5||1, 3, 5, 7 15, 19, 27, 31-43 odd|
|3.1||1-37 eoo, 41-61 odd|
|3.3||1-19 odd, 23-41 odd, 45-61 odd|
|5.5||1-33 odd, 50-51 odd|