12/21/2024 5:35:20 PM	MATH 5 Course Outline as of Fall 1999	Changed Course
CATALOG INFORMATION
Discipline and Nbr:  MATH 5	Title:  LINEAR ALGEBRA
Full Title:  Linear Algebra
Last Reviewed:2/8/2021

Units		Course Hours per Week			Nbr of Weeks	Course Hours Total
Maximum	3.00	Lecture Scheduled	3.00		17.5 max.	Lecture Scheduled	52.50
Minimum	3.00	Lab Scheduled	0		17.5 min.	Lab Scheduled	0
		Contact DHR	0			Contact DHR	0
		Contact Total	3.00			Contact Total	52.50
		Non-contact DHR	0			Non-contact DHR Total	0

Total Out of Class Hours:  105.00

Total Student Learning Hours: 157.50

Title 5 Category:  AA Degree Applicable
Grading:  Grade Only
Repeatability:  00 - Two Repeats if Grade was D, F, NC, or NP
Also Listed As: 
Formerly: 

Catalog Description:

A complete lower division course in Linear Algebra including the theory of matrices, determinants, vector spaces, linear transformations, eigenvectors, eigenvalues and applications.

Prerequisites/Corequisites:
Math 1B.

Recommended Preparation:
Concurrent enrollment in Math 2A or 2B.

Limits on Enrollment:

Schedule of Classes Information
Description:

Matrices, determinants, vector spaces, linear transformations, eigenvectors & eigenvalues, applications.

(Grade Only)
Prerequisites:Math 1B.
Recommended:Concurrent enrollment in Math 2A or 2B.
Limits on Enrollment:
Transfer Credit:CSU;UC.
Repeatability:00 - Two Repeats if Grade was D, F, NC, or NP

ARTICULATION, MAJOR, and CERTIFICATION INFORMATION

Associate Degree:		Effective:		Inactive:
Area:
CSU GE:	Transfer Area			Effective:	Inactive:
IGETC:	Transfer Area			Effective:	Inactive:
CSU Transfer:	Transferable	Effective:	Spring 1989	Inactive:
UC Transfer:	Transferable	Effective:	Spring 1989	Inactive:
C-ID:
CID Descriptor: MATH 250	Introduction to Linear Algebra	SRJC Equivalent Course(s): MATH5

Certificate/Major Applicable: Not Certificate/Major Applicable

COURSE CONTENT

Outcomes and Objectives:
At the conclusion of this course, the student should be able to:

01 Solve systems of linear equations with Gauss-Jordan elimination.

2. Define operations on matrices, inveribility, elementary matrices,

  orthogonal matrices.

3. Apply properties of determinants, evaluation by row reduction.

4. Define cofactors and adjoint, formula for inverse of a matrix, Cramer's

  rule.

5. Define properties of vectors, subspace, span, linear independence,

  basis, dimension, rank, solution space of a system of linear equations,

inner product spaces, orthonormal bases.

6. Define kernel, range, rank/nullity theorem, matrix representation of

  linear transformation, similarity, change of basis.

Topics and Scope

1.  Matrices.

    Systems of linear equations, Guass-Jordan elimination, operations

    on matrices, invertibility, elementary matrices, orthogonal

    matrices.

2.  Determinants.

    Properties, evaluation by row reduction, cofactors and adjoint,

    formula for inverse of a matrix, Cramer's rule.

3.  Vector Spaces.

    Defining properties, subspace, span, linear independence, basis,

    dimension, rank, solution space of a system of linear equations,

    inner product spaces, orthonormal bases, Gram-Schmidt process.

4.  Linear Transformations.

    Kernel, range, rank/nullity theorem, matrix representation of

    linear transformation, similarity, change of basis.

5.  Eigenvectors and Eigenvalues.

    Characteristic equations, eigenspaces (diagonalization of matrices,

    orthogonal diagonalization of symmetric matrices).

6.  Applications (time permitting).

    Differential equations, Fourier series, quadratic forms,

    Gauss-Seidel method, partial pivoting, eigenvalue approximation,

    others.

Assignments:

1.  The student will have daily outside reading, problem set assignments

   from required text(s), or instructor chosen supplementary materials.

2.  Instructional methodology may include, but not limited to: lecture,

   demonstrations, oral recitation, discussion, supervised practice,

   independent study, outside project or other assignments.

Methods of Evaluation/Basis of Grade.

Writing: Assessment tools that demonstrate writing skill and/or require students to select, organize and explain ideas in writing.		Writing 0 - 0%
None
This is a degree applicable course but assessment tools based on writing are not included because problem solving assessments and skill demonstrations are more appropriate for this course.
Problem solving: Assessment tools, other than exams, that demonstrate competence in computational or non-computational problem solving skills.		Problem Solving 25 - 50%
Homework problems, Exams
Skill Demonstrations: All skill-based and physical demonstrations used for assessment purposes including skill performance exams.		Skill Demonstrations 30 - 70%
Performance exams
Exams: All forms of formal testing, other than skill performance exams.		Exams 5 - 25%
Multiple choice
Other: Includes any assessment tools that do not logically fit into the above categories.		Other Category 0 - 0%
None

Representative Textbooks and Materials:

Text(s) required of each student will be selected by the department,

a committe of the department, or the responsible instructor from the

books currently available. Choices in the past have included:

 ELEMENTARY LINEAR ALGEBRA (7th) Howard Anton, Wiley, 1997.

 ELEMENTARY LINEAR ALGEBRA (3rd) Heath 1996.

Print PDF