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MAT310 Assignment Photo Credit: tue.nl (1)   Show that every vertex of $G$ belongs to exactly one component of $G$. Hence show that every edge of $G…

Solution to MAT310 C.A Test (1a).   Let $R$ be a relation defined on the vertex set of a graph $G$ by $URV$, whenever $U,U\in{V(G)}$. Show that $R$ is an equivalence…

Open, closed and clopen sets Given any nonempty set, we can determine if the elements of the sets are open, closed, clopen, not open, or not closed. This aspects is …

Problem and solutions in convergent sequences I will be sharing some solutions to problems on convergent sequences which i solved earlier today. This is going to be one…

The Co-finite Topology on X is discrete if and only if X is finite This is a very important theorem of the cofinite topology, understanding theorems and proofs sho…

The finite-closed or co-finite Topology Still on general topology, today i will be writing on a very special type of topology called the co-finite or finite closed t…

Principle of  Mathematical  Induction   This is the definition, theorem and proof of the mathematical induction for Real Analysis tutorial. The principle of mathema…

In my previous tutorial on MAT419(Graph Theory), i shared interesting videos by Dr.Serada Herke, who is a specialist in graph theory. In case you haven't been foll…

The Triangular Inequality Theorem: The triangular inequality states that if $a$ and $b$ are any two real numbers, then $|a+b|\leq{|a|+|b|}$.............(1) Proo…

The Absolute Value In my previous tutorial on MAT206[Intorduction to Real Analysis], i gave an introduction to the real number system with the algebraic structure in …

How To Write a Report in Latex below are 11 LaTex tutorial Vidoes  that will help in assisting students who are writing projects and other related academic reports. M…

Discrete and the Indiscrete Topology Today i will be giving a tutorial on the discrete and indiscrete topology, this tutorial is for MAT404(General Topology), Now in…

Introduction to Real numbers $\mathbb{R}$ Today i will be giving a brief tutorial on the real numbers and its algebraic structure for MAT206(Real analysis I) course. Fo…