Palomar Logo Effective Term: Fall 2006
Status: Historical
 
PALOMAR COLLEGE
 COURSE OUTLINE FOR CREDIT COURSE
 
  • Courses numbered 1 - 49 are remedial or college preparatory courses which do not apply toward an A. A. Degree and are not intended for transfer.
  • Courses numbered 50-99 apply toward an AA Degree, but are not intended for transfer.
  • Courses numbered 100 and higher apply toward an AA Degree and/or are intended for transfer to a four-year college or university.
 
Course Number and Title: MATH 200 Introduction to Linear Algebra
 

Unit Value: 3  

Lecture Hours Per Week: 3  

Lab Hours Per Week:  

Lecture/Lab Hours Per Week:  

 

Grading Basis: Grade/Pass/No Pass
 
Basic Skills Requirements: Appropriate Language and/or Computational Skills.
 
Requisite(s)
To satisfy a prerequisite, the student must have earned a letter grade of A, B, C or P(Pass) in the prerequisite course, unless otherwise stated.
Prerequisite:
A minimum grade of 'C' in MATH 141
Corequisite:
None
Prerequisite: Completion of, or concurrent enrollment in
None
Recommended Preparation:
None
Limitation on Enrollment:
None
Catalog Description:
Matrices, determinants, vectors, linear dependence and independence, basis and change of basis, linear transformations, and eigen values.
 
Specific Course Objectives:
Upon successful completion of the course the student will be able to:
  1. Apply and understand the fundamentals of matrix algebra, and the basic properties of determinants.
  2. Solve a linear system using Gauss Elimination and interpret the row-echelon form of a matrix.
  3. understand and explore the abstract notion of a vector space, along with fundamental ideas such as subspaces, linear independence, basis and dimension.
  4. Identify and use the properties of linear transformations as they arise from matarices, including kernel, image, and change of basis.
  5. Apply and understand the fundamental properties of eigenvalues and eigenvectors from basic principles.
 
Methods of Instruction:
Methods of Instruction may include, but are not limited to, the following:
  1. Lecture
 
Content in Terms of Specific Body of Knowledge:
  1. Geometry of vector spaces to include Rm.
  2. Matrices: Algebra of matrices, row reduction, row operations, row echelon form, rank and inverses.
  3. Determinants: calculations and properties.
  4. Solving systems of Linear Equations by: matrices, Gauss-Jordan and Gaussian elimination, Cramer's Rule, inverse matrices.
  5. Vector spaces: definition, properties, subspaces, linear independence, column space, null space, spanning sets, basis and dimension.
  6. Linear transformations: properties, kernel, image, matrix of a linear transformation. Change of bases.
  7. Inner products and inner product spaces.
  8. Orthogonal projections, orthonormal bases and the Gram-Schmidt process.
  9. Eigenvalues and Eigenvectors: definitions, similarity, diagonalization.
  10. Additional topics may be included at instructor's discretion.  
Textbooks/Resources:
May Include Textbooks, Manuals, Periodicals, Software, and Other Resources
  1. Anton, Howard and Chris Rorres. Elementary Linear Algebra, Applications Version. 9th ed. New York: Wiley, 2005.ISBN: 0471669598
  2. Lay, David C.. Linear Algebra and Its Applications. 3rd ed. Boston: Addison-Wesley, 2006.ISBN: 0321287134
Required Reading:
 
Suggested Reading:
Larson, Ron and Bruce Edwards. Elementary Linear Algebra, 5th Edition. Houghton-Mifflin publisher, 2004.

Grossman, Stanley. Elementary Linear Alqebra. 5th Edition. Brooks-Cole publisher, 1994.
 
Critical Thinking:
Students will be able to critically analyze problems arising in engineering, science and mathematics and formulate appropriate problem-solving strategies and solutions.
 
Required Writing:
Problem-solving exercises on homework assignments and written tests are more appropriate. In addition, students may be required to write reports from one paragraph to several pages explaining concepts or
explaining and interpreting solutions to non-routine or applied problems.
 
Outside Assignments:
Students are expected to spend a minimum of three hours per unit per week in class and on outside assignments, prorated for short-term classes.

Students are expected to read the text, study lecture notes, and
complete daily homework assignments. Homework assignments may include
practice solving routine problems, explaining concepts, and solving
application or non-routine problems. Other outside assignments may
include computer laboratory assignments, problem-solving reports or journals.
 
Methods of Assessment:
Methods of Assessment may include, but are not limited to, the following:
  • Class Participation
  • Exams/Tests
  • Group Projects
  • Homework
  • Lab Activities
  • Papers
  • Quizzes
 
Open Entry/Open Exit:
No, course is not offered as open entry/open exit.
 
Is Course Repeatable for Reason(s) Other Than Deficient Grade? No
 
Contact Person: Cynthia J. Anfinson