Power Flow Studies Using MATLAB

Power Flow Studies Using MATLAB Executive Summary The report aims to show the differences between Newton-Raphson and Gauss-Seidel methods by using them to analyse a power flow system. During the study in a two-bus system, with a slack bus and PQ bus, two convergence tolerances were used. The case study 1 compares the iterative process … Read More»

Equation to Model a Cooling Cup of Coffee

MATHEMATICS SL Internal Assessment Mathematically Determining an Equation to Model a Cooling Cup of Coffee I. Introduction After having spent countless hours completing assignments and projects, I have too often found my coffee to be cold by the time I get around to drinking it. As a result, I began to question the reasoning behind … Read More»

Derivation and Geometry of the Catenary Curve

Mathematics SL Derivation and Geometry of the Catenary Curve Table of Contents Introduction 1 The Catenary Curve 1-2 Geometry and Defining Variables 3-5 Derivation 5-7 Application 8-9 Conclusion 9 Bibliography 9-10 Introduction ————————————————— My biggest interest has always been art and design. Both my brother and my dad work in construction which introduced me to … Read More»

Mathematical Basis of Big Bang Cosmology

How did the universe begin?   Table of Contents: Abstract………………………………………………………………………………………….1 Introduction……………………………………………………………………………………..1 Rise of the Big Bang Model…………………………………..……………………………….2 Mathematical Basis of Big Bang Cosmology………………………………………………..3 Friedmann-Robertson-Walker(FRW) Metric………………..………………………..3 Friedmann Equations……………………………………………….………………….4 3 Pillars of the Big Bang Model……………………………………..…………………………5 Hubble’s Law……………………………………………………………………………..6 Cosmic Microwave Background Radiation(CMBR) …………………………………7 Big Bang Nucleosynthesis………………………………………………………………8 Implications(?) of the Big Bang Model Conclusion Bibliography   Abstract   … Read More»

How Does the Idea of Limits Make the Calculus Precise?

How does the idea of limits make the calculus precise? In this essay, I will be discussing the topic of differentiation and how the ideas of the calculus were criticised. I will be giving an overview of how calculus can be explained and explaining the idea of limits and the infinitesimal number. The Calculus controversy … Read More»

Using Mathematics to Solve Crime

Typically, when people ask me why I want to go into Law Enforcement, I shut down. It’s a simple question, really, but the answer isn’t so straightforward. But this essay is living proof that I want to solve crimes; this is proof that I desire to become a sleuth like Nancy Drew. Definitely. Of course, … Read More»

Using Game Theory to Predict Brexit Outcomes

“Consider the negotiations over Brexit between the UK and the EU. Use Game Theory to describe the players’ strategies, their payoffs and how the game is played. Solve your model to predict the outcome(s).” The essay thesis is that due to Brexit, the EU will achieve more of its aim and objectives during negotiations than … Read More»



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