Category Archives: Study Notes

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

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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

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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

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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

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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

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Day 44 – DNS and UDP

DNS is a great example of an application layer service that uses UDP for the transport layer instead of TCP, this can be broken down into a few simple reasons TCP UDP A DNS server never needs to care about … Continue reading

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Day 43 – DNS

Computers only understand 1 and 0. DNS (Domain Name System) – A global and highly distributed network service that resolves strings of letters into IP addresses for you. The IP address for a domain name can also change all the … Continue reading

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Day 42 – Transport and Application Layers

Client: SYN packet sender – The client sends a SYN packet to the server via TCP. It tells the server where it wants to connect, and provides the initial sequence number. Server – SYN packet receiver SYN packet – The … Continue reading

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Day 41 – Source IP and Destination IP

Protocol The Protocol field in the IPv4 header contains a number indicating the type of data found in the payload portion of the datagram. (What kind of data is present?) Frame: HEADER IP DATAGRAM Data part that needs to be … Continue reading

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Day 40 – Subnetting

Valid IP Address Subnetting – the process of taking a large network and splitting it up into many individual smaller subnetworks or subnets. Address classes give us a way to break the total global IP space into discrete networks. Network … Continue reading

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