MATH 147 Digital Mathematics

5 credits

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

• Gather, organize, and interpret data using multiple approaches
• Develop and use mathematical models to describe and evaluate physical situations
• Communicate problem-solving strategies and mathematically justify solutions
• Select and utilize appropriate technology to analyze mathematical problems