MATH102 Mathematical Concepts II

Department of Science, Technology, Engineering & Mathematics: Mathematics

  1. Course Number and Title

    MATH102 Mathematical Concepts II

  2. Number of Credits

    3 credits

  3. Minimum Number of Instructional Minutes Per Semester

    2250 minutes

  4. Prerequisites

    Math Placement Test score of 5 or better or MATH095 (C or better)

    Corequisites

    None

  5. Other Pertinent Information

    None

  6. Catalog Course Description

    This course is for liberal arts and education majors and emphasizes mathematical structures. Topics include numeration, number systems in other bases, elementary algebraic and geometric structures.

  7. Required Course Content and Direction

    1. Learning Goals:

      Course Specific:
      The student will be able to:
      1. evaluate abstract algebraic structures.
      2. recognize patterns, represent and organize concepts
      3. develop theory and computational skills in areas of mathematics needed by the education major.
      4. demonstrate comprehension of algorithms and axioms.
      5. apply algebraic theory and graphing to problem solving.

      Core Learning Goals:
        Category I: Mathematics or Science
          The student will develop the ability to analyze, interpret, and apply quantitative information.

      Core Learning Objectives:
        Category I: Mathematics or Science
          The student will be able to:
          1. accurately translate descriptive problems into mathematical formulas and solve them.
          2. evaluate and graph data.

        Category III: Critical Thinking and Problem Solving
          The student will be able to:
          1. use methods concepts and theories in new situations (application skills).
          2. demonstrate an understanding of solving problems by:
            1. recognizing the problem.
            2. reviewing information about the problem.
            3. developing plausible solutions.
            4. evaluating the results.

    2. Planned Sequence of Topics and/or Learning Activities:

      1. Numeration Systems (6 lessons)

        2. Conversion
        Computation

      2. Abstract Algebraic Systems (9 lessons)

        3. Structural properties
        Clock arithmetic
        Groups

      3. Real Number System (3 lessons)

        4. Definitions
        Properties

      4. Algebra (6 lessons)

        5. Solution of first degree equations
        Emphasis on properties and word problems

      5. Linear Programming (6 lessons)


      6. Geometry (9 lessons)


      7. Optional Topics (6 lessons)

        8. The instructor may opt to cover group theory, linear programming, or geometry in more detail or discuss such topics as game theory, network theory, or non-euclidean geometries.

    3. Assessment Methods for Core Learning Goals:

      All Core Critical Thinking and Problem Solving, College Level Mathematics or Science, and Discipline-Specific Course Objectives will be assessed as follows:

      The student will apply mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students and, for the core, formal assessment using open-ended questions reflecting theoretical and applied situations.

    4. Reference, Resource, or Learning Materials to be used by Students:

      Departmentally selected textbook. Details provided by the instructor of each course section.

  8. Teaching Methods Employed

    Use of lecture, recitation, problem solving, and class discussion as appropriate.

Review/Approval Date - 3/06; Core Goals/Objectives added 4/04