The 18.090 course at MIT is distinguished by several features that set it apart from other mathematics courses:
Developing strategies for approaching and solving mathematical problems is an essential skill. This includes the ability to break down complex problems into simpler ones and to apply appropriate mathematical techniques. The 18
(based on MIT grading standards)
: Learners explore the properties of fundamental sets, such as the natural numbers, integers, and the formal definition of real numbers. "Extra Quality" in Learning "Extra Quality" in Learning : The primary goal
: The primary goal is understanding and constructing formal mathematical arguments. Target Audience such as the natural numbers
The course focuses on the pillars of mathematical logic: set theory, bijections, induction, and the construction of the real numbers. It forces students to grapple with the definition of limits and continuity not as formulas, but as rigorous logical statements involving $\epsilon$ (epsilon) and $\delta$ (delta).