A set in calculus is a collection of numbers, objects, or other mathematical entities that are grouped together based on a specific criteria or rule.
Sets in calculus are typically described using set notation, which consists of curly braces surrounding a list of elements separated by commas. For example, the set of positive even numbers can be written as {2, 4, 6, 8, ...}.
The cardinality of a set in calculus refers to the number of elements in that set. It is denoted by the symbol "| |" and can be determined by counting the number of elements in the set or using other mathematical methods.
In calculus, two sets are considered equal if they have the same elements. This means that if all the elements in one set are also present in the other set and vice versa, then the two sets are equal.
A subset in calculus is a set that contains elements that are all part of a larger set. It is denoted by the symbol "⊆" and can be determined by checking if all the elements in the subset are also present in the larger set.