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