Mathematics - Lecture 1 "Sets and the set of real numbers" presents the following content: Sets, notations, describing sets, relations on sets: subset, relations on sets: equal sets, relations on sets: one-to-one correspondence, relations on sets: equivalent sets,. | Sets and The Set of Real Numbers Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 1 Math 17 (UP-IMath) Sets and The Set of Real Numbers Lec 1 1 / 25 Sets A set is a well-defined collection of objects which are called elements or members of the set. Math 17 (UP-IMath) Sets and The Set of Real Numbers Lec 1 2 / 25 Sets A set is a well-defined collection of objects which are called elements or members of the set. Finite set: possible to list down all elements Infinite set: elements cannot be counted Math 17 (UP-IMath) Sets and The Set of Real Numbers Lec 1 2 / 25 Notations Uppercase letters : Names of sets Math 17 (UP-IMath) Sets and The Set of Real Numbers Lec 1 3 / 25 Notations Uppercase letters : Names of sets a ∈ A : a is an element of A Math 17 (UP-IMath) Sets and The Set of Real Numbers Lec 1 3 / .
