Quantitative Reasoning
Courses that fulfill the quantitative reasoning (QR) Core requirement aim to develop critical skills in quantitative analysis and deductive reasoning, which are particularly relevant to the study of science and the social sciences.
QR Requirement Fulfillment
- Scoring a minimum of 600 on the Math SAT or 27 on the math subsection of the ACT within the eight years prior to matriculation;
- Earning a passing score on the GS Quantitative Reasoning Exam;
- Earning a passing letter grade in a course from the list of approved courses;
- Receiving approved transfer credit on the Entrance Credit Report (ECR) in computer science, mathematics, or statistics from international high school leaving exams (e.g., French Baccalaureate, GCE Advanced Level examination, etc.) or courses taken within eight years prior to matriculation worth a minimum of three points each and equivalent to those classes on the list of approved courses below, as determined by the Dean of Students Office.
Students who have not fulfilled the quantitative reasoning requirement through standardized scores or transfer credit may take the GS Quantitative Reasoning Exam during or prior to Orientation Week.
Based on the QR exam results, GS advisors will help students choose an appropriate course from the GS-approved list of quantitative reasoning courses. When choosing a QR course, students must ensure that they have reviewed and have met the specified prerequisites for the course prior to enrollment.
Computer Science, Economics, Mathematics, and Statistics
Any course selected from the following departments fulfills the quantitative reasoning requirement when passed with a satisfactory letter grade:
- Computer Science (except S1021D, S1022Q)
- Economics (Columbia department only)
- Mathematics
- Statistics
Approved Columbia courses in computer science, mathematics, and statistics may count toward both the QR requirement and the science requirement. Approved transfer credit for relevant courses in computer science, mathematics, and statistics may count toward both the QR and one science requirement as well; however, the course must have been taken within the last eight years prior to matriculation to satisfy the QR requirement.
COLLEGE ALGEBRA-ANLYTC GEOMTRY (MATH UN1003) (or the equivalent) may count toward the QR requirement only.
Foundations of Science
Using modern, student-centered, active and collaborative learning techniques, students will engage — through field observations, in-class experiments, computer simulations, and selected readings — with a range of ideas and techniques designed to integrate and anchor scientific habits of mind. Topics covered will include statistics, basic probability, a variety of calculations skills, graph reading and estimation, all aimed at elucidating such concepts as energy, matter, cells, and genes in the context of astronomy, biology, chemistry, earth sciences, neuroscience, and physics.
Foundations of Science (SCNC UN1212) satisfies both the QR requirement and one course of the science requirement when passed with a letter-grade of C or above.
Frontiers of Science
The goal of this Columbia Core Curriculum course is to introduce students to the way scientists think. As they delve into questions drawn from fields as varied as neuroscience and astrophysics, students learn why scientists cultivate a sense of scale, why they like to convert data to graphs, and why they are so careful to differentiate correlation from causation. Along the way, students are invited to think about how science might contribute answers to old questions (what is the place of our species in the universe?) and new ones (is continued industrialization an environmentally sustainable proposition?).
FRONTIERS OF SCIENCE-DISC (SCNC CC1100) satisfies both the QR requirement and one course of the science requirement when passed with a letter-grade of C or above.
Students interested in taking Frontiers of Science should contact Professor Ivana Hughes before or during the first week of classes to discuss their previous experience with related coursework. Prof. Hughes can be reached at ih2194@columbia.edu.
**Note: Neither Foundations of Science nor Frontiers of Science may be selected for the P/D/F grading option whether or not they are taken towards core requirements.
Approved QR Courses
The following Columbia courses have been approved as satisfying the QR requirement if completed with a satisfactory letter grade. This list is updated annually. If a particular quantitative reasoning course does not appear on the list, students should ask their respective GS advisors about its appropriateness for the requirement. Equivalent transfer courses may not count toward the QR requirement.
| Code | Title | Points |
|---|---|---|
| ECON BC1007 | MATH METHODS FOR ECONOMICS | |
| ECON BC2411 | STATISTICS FOR ECONOMICS | |
| EEEB UN3005 | INTRO-STAT-ECOLOGY ＆ EVOL BIOL | |
| PHIL UN1401 | INTRODUCTION TO LOGIC | |
| PHIL UN3411 | SYMBOLIC LOGIC | |
| PHYS UN1001 | PHYSICS FOR POETS | |
| POLS UN3704 | RESEARCH DESIGN: DATA ANALYSIS | |
| POLS UN3720 | RESEARCH DESIGN: SCOPE AND METHODS | |
| POLS UN3768 | Experimental Research | |
| POLS GU4730 | GAME THEORY ＆ POLIT THEORY | |
| POLS GU4700 | MATH ＆ STATS FOR POLI SCI | |
| POLS GU4710 | PRINC OF QUANT POL RESEARCH 1 | |
| PSYC BC1101 | STATISTICS LECTURE AND RECITATION | |
| PSYC UN1610 | STATISTCS-BEHAVIORL SCIENTISTS | |
| SOCI W2220 | Evaluation of Evidence | |
| SOCI BC3211 | Quantitative Methods | |
| SOCI UN3020 | Social Statistics | |
| URBS UN3200 | Spatial Analysis: GIS Methods and Urban Case Studies |
Note: Barnard students are given preference for enrollment in Barnard courses that may fulfill the QR requirement. Barnard courses that fulfill a core requirement will not necessarily count toward a major at Columbia if a student chooses to major or concentrate in one of these fields. (See individual departments concerning courses approved and required for the major.)
*N.B.: The italicized text on the course description page for BC1007 regarding calculus requirements for economics majors applies to Barnard College students only.