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. Number of Instructional Minutes
2250
IV. Prerequisites
Math Placement Test score of 5 or better or MATH095 (C or better)
Corequisites
None
V. Other Pertinent Information

This course meets the General Education requirement for Quantitative Literacy
This course meets the General Education requirement for Critical Thinking.

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. Course Learning Goals

    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. develop the ability to analyze, interpret, and apply quantitative information [Quantitative Literacy];
    4. accurately translate descriptive problems into mathematical formulas and solve them;
    5. reason from what they know to form new knowledge, draw conclusions, solve problems, explain, decide, and/or predict [Critical Thinking].
  2. Planned Sequence of Topics and/or Learning Activities

    1. Logic (12 lessons)
      1. Statements and connectives
      2. Truth tables
      3. Applications of truth tables
      4. Syllogisms
      5. Validity of arguments (truth tables and syllogisms)
      6. Euler diagrams
    2. Set Theory (6 lessons)
      1. Set operations and relations
      2. Venn diagrams
      3. Survey analysis
      4. Set algebra
    3. Counting (6 lessons)
      1. Sequential counting principle, tree diagrams
      2. Combinations and permutations
    4. Probability (9 lessons)
      1. Sample spaces
      2. Addition and product rules
      3. Conditional probability
      4. Dependent and independent events
      5. Expected value
      6. Binomial model
    5. Optional Topics (9 lessons)
    6. 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 Course Learning Goals

    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 Student:

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

Review/Approval Date - 3/06; Core Goals/Objectives added 5/04; New Core 8/2015