10-804-133Mathematics and Logic
Course Information
Description
Students will apply problem solving techniques from discrete mathematics. Topics include symbolic logic, sets, algebra and base number systems. Last revision date: 5/19/14
Total Credits
3
Course Competencies
  1. Solve applied algebraic problems
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you simplify algebraic expressions
    you solve algebraic equations
    you represent or interpret the applied problems algebraically
    you  illustrate the solutions mathematically using charts, graphs, diagrams etc.

  2. Utilize heuristic tools for problem solving
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you differentiate among heuristic tools (examples may include draw a diagram, make a list, eliminate possibilities, look for sub-problems, work backwards, etc.)
    you identify the root of the problem
    you justify choice of  heuristics when solving problems
    you apply the heuristics to the problem
    you solve the problem
    you document the process you used to solve the problem

  3. Convert between place value number systems
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you convert from base N to decimal
    you convert from decimal to base N
    you convert between computer number systems (binary, octal and hexadecimal)

  4. Apply number systems to problem solving
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you differentiate among different number systems
    you analyze the root of the problem
    you justify the choice of  the number system for solving the problem
    you apply the number system to solving the problem
    you solve the problem
    you document the process you used to solve the problem

  5. Apply principles of set theory
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you use set theory notation
    you use appropriate set terminology
    you apply set properties to solve problems
    you apply the concept of cardinality
    you draw a Venn diagram
    you use Venn diagram to solve problems
    you document the process you use to solve the problem

  6. Apply symbolic logic principles
    Assessment Strategies
    Oral, Written or Graphic Assessment
    Criteria
    you differentiate among logical operators ( i.e. and, or, x-or, and not)
    you differentiate between conditional and biconditional using various logical methods (i.e. truth table, matrix logic, Boolean algebra, etc.)
    you apply logic methods to solve problems
    you verify the solution to the problem