KERN COMMUNITY COLLEGE DISTRICT – CERRO COSO COLLEGE

MATH C257 COURSE OUTLINE OF RECORD

  1. DISCIPLINE AND COURSE NUMBER:
    MATH C257
  2. COURSE TITLE:
    Linear Algebra
  3. SHORT BANWEB TITLE:
    Linear Algebra
  4. COURSE AUTHOR:
    Bernsten, Dean
  5. COURSE SEATS:
    -
  6. COURSE TERMS:
    70 = Fall
  7. CROSS-LISTED COURSES:
  8. PROPOSAL TYPE:
    CC Course Revision
  9. START TERM:
    30 = Spring, 2012
  10. C-ID:
  11. CATALOG COURSE DESCRIPTION:
    This course covers the following topics: systems of linear equations; matrices; n-dimensional real vector spaces; general vector spaces; linear transformations; eigenvalues and eigenvectors; and applications of the above topics.

  12. GRADING METHOD

    Default:
    S = Standard Letter Grade
    Optional:
    P = Pass/No Pass;A = Audit
  13. TOTAL UNITS:
    4

  14. INSTRUCTIONAL METHODS / UNITS & HOURS:

    Method
    Min Units
    Min Hours
    Lecture
    4
    72
    Lab
    0
    0
    Activity
    0
    0
    Open Entry/Open Exit
    0
    0
    Volunteer Work Experience
    0
    0
    Paid Work Experience
    0
    0
    Non Standard
    0
    0
    Non-Standard Hours Justification:

  15. REPEATABILITY

    Type:
    Non-Repeatable Credit
  16. MATERIALS FEE:
    No
  17. CREDIT BY EXAM:
    No
  18. CORE MISSION APPLICABILITY:
    UC Transfer;Associate Degree Applicable (AA/AS);CSU Transfer
  19. STAND-ALONE:
    No

  20. PROGRAM APPLICABILITY

    Required:
    Mathematics AA (AA Degree Program)
    Elective:
    General Education ()
    General Sciences (AA Degree Program)
    General Sciences AA (AA Degree Program)
    Liberal Arts: Mathematics & Science (AA Degree Program)

  21. GENERAL EDUCATION APPLICABILITY

    Local:
    CC GE Area IV: Language and Rationality = Analytical Thinking;
    IGETC:
    IGETC Area 2: Math Concepts and Quantitative Reasoning = 2A: Mathematic;
    CSU:
    CSU GE Area B: Physical and its Life Forms(mark all that apply) = B4 - Mathematics/Quantitative Thinking;
    UC Transfer Course:
    CSU Transfer Course:

  22. STUDENT LEARNING OUTCOMES Upon completion of the course, the student will be able to

    1. Examine and apply the mathematical foundations of linear algebra.
    2. Examine and apply the elements and procedures of formal mathematical proofs.
    3. Apply the elements of linear algebra to some of the following applications areas: least squares curves, archeology, cryptology, curve fitting, traffic flow, demographics, weather prediction, genetics, computer graphics, oscillating systems, Markov chains, difference equations, fractal geometry, relativity, and approximation of functions.
    4. Apply computational aspects of the field.

  23. REQUISITES

    Prerequisite:

    MATH C152

  24. DETAILED TOPICAL OUTLINE:

    Lecture:

    The Mathematics Department has adopted the following best practices for teaching this course:  offering or awarding extra-credit is forbidden, the allowance of multiple attempts at exams is forbidden, and an approved on-site proctor for online course exams is required.

     

    A.      Systems of Linear Equations

    1.       systems solution

    2.       Gauss-Jordan and Gaussian elimination

    3.       applications

    B.      Matrices

    1.       matrix algebra

    2.       properties of matrices

    3.       inverse of a matrix

    4.       applications

    C.      Determinants

    1.       properties

    2.       numerical evaluation

    3.       relationship with matrices

    4.       systems of equations

    D.      The Vector Space R

    1.       vectors

    2.        subspaces

    3.        linear combination of vectors

    4.        linear dependence and independence

    5.        bases, dimension, and rank. 

    E.       N-Dimensional Euclidean Space

    1.       dot product, norm, angle, distance

    2.        orthonormal vectors, projections.

    F.       General Vector Spaces

    1.       generalizing the concept of a vector space

    2.        inner product spaces

    3.        applications.

    G.     Linear Transformations

    1.       matrix transformations, kernel, range

    2.        transformations and systems of linear equations

    3.        coordinate vectors

    4.       matrix representation of linear transformations

    5.       applications 

     

    H.      Eigenvalues and Eigenvectors

    1.       definition of eigenvalues and eigenvectors

    2.        computation

    3.       diagonalization of matrices

    4.       applications

  25. METHODS OF INSTRUCTION--Course instructional methods may include but are not limited to

    1. Demonstration;
    2. Discussion;
    3. Lecture;
    4. Other Methods: A. lecture and discussion of all course concepts. B. demonstration of developing proofs and solving application problems. C. reading textbooks and journals to see presentations different than those of the instructor. D. assignments and quizzes E. the use of computational and other types of mathematical software

  26. OUT OF CLASS ASSIGNMENTS: Out of class assignments may include but are not limited to

    A. Reading assignments. B. Bi-weekly homework assignments.

  27. METHODS OF EVALUATION: Assessment of student performance may include but is not limited to

    This will be assessed by an exam, scored with a rubric. (Use for short answer and essay answers exams.)

    A. tests on course content, to include solving equations as well as demonstration of specific skills.
    B. quizzes (in-class and take-home) to include solving equations as well as demonstration of specific skills.
    C. group work to analyze and solve application problems.

  28. TEXTS, READINGS, AND MATERIALS: Instructional materials may include but are not limited to

    Textbooks
    David C. Lay. (2012) Linear Algebra with Applications, 4th , Pearson
    Manuals
    Periodicals
    Software
    Other
  29. METHOD OF DELIVERY:
    Online with some required face-to-face meetings (“Hybrid”);iTV – Interactive video = Face to face course with significant required activities in a distance modality ;Online course with on ground testing;Face to face;
  30. MINIMUM QUALIFICATIONS:
    Chemistry (Masters Required);Engineering (Masters Required);Mathematics (Masters Required);Physics/Astronomy (Masters Required);

  31. APPROVALS:

    Origination Date
    11/09/2011
    Last Outline Revision
    02/24/2012
    Curriculum Committee Approval
    02/24/2012
    Board of Trustees
    05/03/2012
    State Approval
    UC Approval
    50 = Summer 2000
    UC Approval Status
    Approved
    CSU Approval
    50 = Summer 2000
    CSU Approval Status
    Approved
    IGETC Approval
    50 = Summer 2000
    IGETC Approval Status
    Approved
    CSU GE Approval
    50 = Summer 2000
    CSU GE Approval Status
    Approved