University Studies Advisory Committee

Quantitative and Logical Reasoning


This document provides a description of the Quantitative and Logical Reasoning component of University Studies. In so doing, it differentiates between common component-level student learning outcomes and discipline-specific course-level learning outcomes. The goal is to encourage the development of challenging and varied University Studies courses that share common assessable student learning outcomes.


In order to function successfully in the modern world, its citizens educated at the University of North Carolina at Wilmington must be ready to understand, apply and communicate logical and quantitative approaches to commonplace issues as they arise in the public forums of democracy or in the choices to be made that will enrich one's own private life. Though these quantitative and logical reasoning skills are encountered in the mathematics and statistics requirement, they will be refined and enhanced by the study of applications of such reasoning within the student's own major or other disciplines or by additional study within mathematics, statistics or logic. Courses that fulfill this Quantitative and Logical Reasoning component must be one of the following:

1. (Quantitative Reasoning) An additional course beyond the mathematics or statistics course used for the Mathematics and Statistics requirement or a quantitative methods course from any discipline that acquaints a student with how quantitative reasoning is applied . In order to be listed here, at least half of the course content of a quantitative methods course must involve some of the following: modeling and problem solving using quantitative methods, data collection, representation, and interpretation, mathematical or statistical analysis and numerical reasoning.


2. (Logic) An introductory logic, symbolic logic or critical thinking course that will improve student ability to reason critically by analyzing, evaluating and extending arguments.


The following are the Common Student Learning Outcomes for Quantitative and Logical Reasoning. These are aligned with the UNCW Learning Goals. Each course in this category must address all of the Common Student Learning Outcomes for the category, and list these Common SLOs along with course-specific SLOs in the course syllabus. Proposals for inclusion in the category will describe the opportunities which will be provided for students to learn the outcome (readings, class discussion and/or activities, applied projects) and list the specific sources of evidence (exams, papers, projects, quizzes, etc.) that will be used to determine the level of student understanding.

The student will:

(Either for Quantitative Reasoning)

  • QRE 1. Create, solve and interpret basic mathematical models. [Foundational Knowledge, Inquiry, Information Literacy, Critical Thinking]
  • QRE 2. Make sound arguments based on mathematical reasoning and/or careful analysis of data. [Foundational Knowledge, Inquiry, Information Literacy, Critical Thinking]
  • QRE 3. Effectively communicate the substance and meaning of mathematical problems and solutions. [Critical Thinking, Thoughtful Expression]

(Or for Logic)

  • LOG 1. Identify and analyze the elements of arguments. [Inquiry, Critical Thinking]
  • LOG 2. Evaluate the consistency, validity and sufficiency of arguments. [Inquiry, Critical Thinking]
  • LOG 3. Exhibit critical thinking by developing and expressing sound arguments from given premises to related conclusions. [Inquiry, Critical Thinking, Thoughtful Expression]


Students are required to take three hours from this component.