Catalog 2024-2025 
    
    Sep 18, 2024  
Catalog 2024-2025

MATH 147 Digital Mathematics

5 credits


Digital Mathematics covers the finite mathematical knowledge, skills and techniques necessary for success in computer-based technologies. Content includes counting, number systems, logic, relations, recursion, graphs and trees, algorithms, data structures, digital circuits, software languages, and programming.

This course meets the Quantitative Reasoning  general education distribution requirement for AAS degrees and certificates only.

Prerequisites: MATH 98  (recommended) or MATH 99  (or placement into MATH 147)

Course Outcomes
Upon successful completion of this course students will be able to:

  • Apply counting techniques to solve simple problems in probability
  • Explain the integer system expressed in various bases
  • Identify logical elements in artificial languages
  • Determine tautological, contradictory, and contingent logical forms
  • Differentiate between functions and relations
  • Appreciate the inductive structure of mathematics
  • Solve simple problems using recursion
  • Explain the fundamental rules of graph and tree data structures
  • Construct simple algorithms for computation
  • Express problems using a variety of different data structures
  • Write simple computer programs in very high-level software languages
  • Describe the use of logic and recursion in semiconductor circuitry
  • Apply the mathematical skills of computational problem solving, pattern recognition, substitution, following structural rules, discrete modeling, and formal logic to solve problems requiring reasoning, critical thinking, and computation

College-Wide Learning Outcomes
This course teaches to the college-wide learning outcome of Critical Thinking, the ability to evaluate information, draw inferences, arrive at conclusions, and create solutions based on objective analysis of the evidence.

Total Hours: 50 Theory (Lecture) Hours: 50