KERN COMMUNITY COLLEGE DISTRICT – CERRO COSO COLLEGE

MATH C130 COURSE OUTLINE OF RECORD

  1. DISCIPLINE AND COURSE NUMBER:
    MATH C130
  2. COURSE TITLE:
    Finite Mathematics
  3. SHORT BANWEB TITLE:
    Finite Math
  4. COURSE AUTHOR:
    Bernsten, Dean
  5. COURSE SEATS:
    -
  6. COURSE TERMS:
    70 = Fall; 50 = Summer
  7. CROSS-LISTED COURSES:
  8. PROPOSAL TYPE:
    CC Course Revision
  9. START TERM:
    30 = Spring, 2012
  10. C-ID:
  11. CATALOG COURSE DESCRIPTION:
    Finite Mathematics is designed for students majoring in Business/Economics, Computer Information Systems, and Social Sciences. Topics to be covered include: matrices, linear programming, mathematics of finance, sets and probability, descriptive statistics, Markov chains, and game theory.

  12. GRADING METHOD

    Default:
    S = Standard Letter Grade
    Optional:
    A = Audit;P = Pass/No Pass
  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);Certificate of Achievement (COA);CSU Transfer;Career Technical Education (CTE)
  19. STAND-ALONE:
    No

  20. PROGRAM APPLICABILITY

    Required:
    Elective:
    Computer Information Systems (AS Degree Program)
    Computer Information Systems AS (AS Degree Program)
    Computer Information Systems Associate of Science Degree (AS Degree Program)
    Computer Information Systems Associate of Science Degree (AS Degree Program)
    Computer Information Systems Cert (Certificate)
    Computer Information Systems- (Certificate of Achievement)
    General Education ()
    Liberal Arts: Mathematics & Science (AA Degree Program)
    Mathematics AA (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. Develop mathematical models and employ linear curve fitting techniques.
    2. Perform fundamental matrix operations and apply them to solving linear systems of equations.
    3. Use both geometric and simplex methods of linear programming to solve optimization problems with two or more variables.
    4. Calculate interest, annuities, and amortization.
    5. Employ Venn diagrams to sort out information and help combine sets algebraically.
    6. Compute basic probability.
    7. Summarize and analyze data sets and apply statistical models to them.
    8. Combine probability and matrices to analyze stochastic processes using a Markov Chains.
    9. Combine probability, matrices, and linear programming with a theory of games model to determine optimal strategies for a "two-person" competitive situation under uncertain conditions.

  23. REQUISITES

    Prerequisite:

    MATH C055

  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.

    1. A. Algebra Review

    a. Polynomials and rational expressions

    b. Linear and quadratic equations

    c. Inequalities

    d. Exponents and radicals

    B. Linear Functions

    1. Linear graphing

    2. Linear functions

    3. Mathematical models

    4. Curve fitting

    C. System of Linear Equations & Matrices

    1. Solutions by Echelon and Gauss-Jordan methods

    2. Addition and subtraction of matrices

    3. Matrix multiplication and inverses

    4. Input-Output models

    D. Linear Programming

    1. Geometrical method

    2. Simplex method

    3. Optimization problems

    E. Mathematics of Finance

    1. Compound interest

    2. Annuities

    3. Amortizations

    F. Sets and Probability

    1. Set operations and Venn diagrams

    2. Basics of classical probability

    3. Decision trees

    4. Bayes' Theorem

    G. Combinatorial Techniques

    1. Permutations

    2. Combinations

    3. Binomial probability

    4. Pascal's triangle

    5. Expected value

    H. Introduction to Descriptive Statistics

    1. Frequency distributions

    2. Central tendency

    3. Dispersion

    4. Normal distribution

    I. Markov Chains

    1. Stochastic processes

    2. Regular chains

    3. Absorbing chains

    J. Game Theory

    1. Strictly determined games

    2. Mixed strategies

    3. Game theory and linear programming

     

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

    1. Discussion;
    2. Lecture;
    3. Other Methods: A. Textbook readings B. Lectures C. Online course management system D. Discussions

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

    A. Daily homework assignments Example: Students work mathematics problems assigned from the text to reinforce concepts and skills discussed in lecture. B. Online Course Management System Example: Assignments on CourseCompass.

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

    A. Daily online assignments
    Example: Students work mathematics problems assigned from the text to reinforce concepts and skills discussed in lecture.
    B. Weekly Quizzes
    Weekly quizzes over the previous week’s lecture material, homework, and online assignments assess the student’s understanding.
    C. Chapter Exams
    Chapter exams over the previous chapter’s lecture material, homework, and online assignments assess the student’s understanding.

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

    Textbooks
    Margaret Lial , Raymond Greenwell and Nathan Ritchey . (2012) Finite Mathematics, 10th, 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
    10/28/2011
    Last Outline Revision
    02/24/2012
    Curriculum Committee Approval
    02/24/2012
    Board of Trustees
    05/03/2012
    State Approval
    UC Approval
    70 = Fall 2001
    UC Approval Status
    Approved
    CSU Approval
    70 = Fall 2001
    CSU Approval Status
    Approved
    IGETC Approval
    70 = Fall 2001
    IGETC Approval Status
    Approved
    CSU GE Approval
    70 = Fall 2001
    CSU GE Approval Status
    Approved