**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

spaces.

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

**C. Technology
**Graphing calculator

**D. Supplies
**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**

• Tests**

• 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**

**Course Topics:
**• Properties of Matrices

• Operations on Matrices

• Systems of Linear Equations

• Linear Transformations

• Determinants

• Eigenvalues

• Eigenvectors

• Vector Spaces

• Subspaces

• 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
(found in
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, 6 ^{th} edition
Assigned Problems**

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.

Section |
Problems |

1.2 | 1-36 odd, 43-49 odd |

1.3 | 9, 13, 19, 21, 25 |

2.1 | 1-51 odd |

2.2 | 1-43 odd |

2.3 | 1-43 odd |

2.4 | 1-57 odd |

2.5 | 1, 3, 5, 7 15, 19, 27, 31-43 odd |

Test 1 | |

3.1 | 1-37 eoo, 41-61 odd |

3.2 | 1-51 odd |

3.3 | 1-19 odd, 23-41 odd, 45-61 odd |

3.4 | 1-25 odd |

3.5 | 1-57 odd |

Test 2 | |

4.1 | 1-63 odd |

4.2 | 1-35 odd |

4.3 | 1-35 odd |

4.4 | 1-51 odd |

4.5 | 1-75 eoo |

4.6 | 1-51 odd |

4.7 | 1-39 odd |

Test 3 | |

5.1 | 1-93 eoo |

5.2 | 1-77 eoo |

5.3 | 1-61 odd |

5.4 | 1-35 odd |

5.5 | 1-33 odd, 50-51 odd |

Test 4 | |

6.1 | 1-59 odd |

6.2 | 1-77 eoo |

6.3 | 1-67 odd |

6.4 | 1-25 odd |

7.1 | 1-53 odd |

7.2 | 1-49 odd |

7.3 | 1-35 odd |

7.4 | 1-11 odd |

Test 5 |