Tag Archives: 2023 PBA October Term

Day 49 – The Language of Sets

The foundation of set theory was laid by the eminent German Mathematician Georg Cantor during the latter part of the 19th century. The following are some of the problems we shall pursue in this chapter: Set is a collection of … Continue reading

Posted in Study Notes | Tagged , , , , , , | Leave a comment

Day 48 – Set Operations

Union (A U B) Given two sets A and B, the union of A and B, AUB, contains all the elements in EITHER A or B. A union B is equals to x, where x is an element of A … Continue reading

Posted in Study Notes | Tagged , , , | Leave a comment

Day 47 – Powerset of a Set

Notations Subset(recap) A set can have another set as its element. Quick Review: Difference between subset and proper subset: Subset: If every element of 1st set is contained in the 2nd set, then the 1st set is called the subset … Continue reading

Posted in Study Notes | Tagged , , , , | Leave a comment

Day 46 – Set Representation

Set Representation Listing Method Representing a set S using the listing method consists of listing all the elements of S. S1 = set of all vowels in the English alphabet S1 = {a, e, i, o, u} (listing method) S2 … Continue reading

Posted in Study Notes | Tagged , , , , | Leave a comment

Day 45 – Intro to Discrete Mathematics

Discrete mathematics is the study of discrete objects, which are different from connected objects. Discrete objects are those which are separated or distant from each other. Such as integers, rational numbers, houses, people, etc. Syllabus Sets Set E – set … Continue reading

Posted in Study Notes | Tagged , , , | Leave a comment