21-127 Concepts of Mathematics

12 units, Carnegie Mellon University

This course introduces the basic concepts, ideas and tools involved in doing mathematics. As such, its main focus is on presenting informal logic, and the methods of mathematical proof. These subjects are closely related to the application of mathematics in many areas, particularly computer science. Topics discussed include a basic introduction to elementary number theory, induction, the algebra of sets, relations, equivalence relations, congruences, partitions, and functions, including injections, surjections, and bijections. A basic introduction to the real numbers, rational and irrational numbers. Supremum and infimum of a set. (Three 50 minute lectures, two 50 minute recitations)

Prerequisites: 02-120 (min C) or 15-112 (min C) or 21-090 (min A) or 21-112 (min C) or 21-120 (min C) or 21-108 (min C)

Offered: Spring 2027, Fall 2026, Summer 2026, Spring 2026, Fall 2025

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