MATH101 Mathematical Concepts I

Department of Science, Technology, Engineering & Mathematics: Mathematics

I. Course Number and Title
MATH101 Mathematical Concepts I
II. Number of Credits
3 credits
III. Minimum Number of Instructional Minutes Per Semester
2250 minutes
IV. Prerequisites
Math Placement Test score of 5 or better or MATH095 (C or better)
V. Other Pertinent Information
VI. Catalog Course Description
This course is primarily for liberal arts and education majors, and emphasizes mathematical systems and reasoning. Course content includes sets, symbolic logic, and elementary probability and such optional topics as basic statistics, game theory, or linear programming.
VII. Required Course Content and Direction
  1. Learning Goals:

    Course Specific
    The student will be able to:
    1. analyze, represent, and solve elementary problems in logic, set theory and probability.
    2. recognize and apply the characteristics of a mathematical structure.
    3. analyze and apply the concepts and principles of mathematics in varying situations.

    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 reason from what they know to form new knowledge, draw conclusions, solve problems, explain, decide, and/or predict (Inductive and/or Deductive Reasoning Skills).
  2. Planned Sequence of Topics and/or Learning Activities:

    1. Logic (12 lessons)

    2. Statements and connectives
      Truth tables
      Applications of truth tables
      Validity of arguments (truth tables and syllogisms)
      Euler diagrams

    3. Set Theory (6 lessons)

    4. Set operations and relations
      Venn diagrams
      Survey analysis
      Set algebra

    5. Counting (6 lessons)

    6. Sequential counting principle, tree diagrams
      Combinations and permutations

    7. Probability (9 lessons)

    8. Sample spaces
      Addition and product rules
      Conditional probability
      Dependent and independent events
      Expected value
      Binomial model

    9. Optional Topics (9 lessons)

    10. The instructor may elect to cover logic, set theory, or probability in more depth or discuss some optional topics, such as game theory, statistics, or linear programming.
  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 written 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. See Course Format.
VIII. Teaching Methods Employed
Use of lecture, recitation, problem solving, and class discussion as appropriate.

Review/Approval Date - 3/06; Core Goals/Objectives added 5/04