Mathematical Modelling (Supporting Early Learning)

Mathematical modelling modules feature in most university undergraduate mathematics courses. As one of the fastest growing areas of the curriculum it represents the current trend in teaching the more complex areas of mathematics. This book introduces mathematical modelling to the new style of undergraduate - those with less prior knowledge, who require more emphasis on application of techniques in the following sections: What is mathematical modelling?; Seeing modelling at work through population growth; Seeing modelling at work through published papers; Modelling in mechanics. Written.;Front Cover; Mathematical Modelling ; Copyright Page; Table of Contents; Series Preface; Preface; Chapter 1. What is Mathematical Modelling?; 1.1 Modelling with Data; 1.2 Using Mathematical Models; 1.3 Modelling from Theory; Chapter 2. Modelling Population Growth.; 2.1 Understanding the Problem; 2.2 Choosing Variables.; 2.3 Making Assumptions; 2.4 Solving the Equations; 2.5 Interpreting the Solutionand Validating the Model; 2.6 Criticising and Improving the Model.; Chapter 3. Mathematical Modelling in Action; 3.1 Introduction; 3.2 Howto use the Articles. Mathematical modelling modules feature in most university undergraduate mathematics courses. As one of the fastest growing areas of the curriculum it represents the current trend in teaching the more complex areas of mathematics. This book introduces mathematical modelling to the new style of undergraduate - those with less prior knowledge, who require more emphasis on application of techniques in the following sections: What is mathematical modelling?; Seeing modelling at work through population growth; Seeing modelling at work through published papers; Modelling in mechanics.

Written in the lively interactive style of the Modular Mathematics Series, this text will encourage the reader to take part in the modelling process. Front Cover Mathematical Modelling Copyright Page Table of Contents Series Preface Preface Chapter 1. What is Mathematical Modelling? 1.1 Modelling with Data 1.2 Using Mathematical Models 1.3 Modelling from Theory Chapter 2. Modelling Population Growth. 2.1 Understanding the Problem 2.2 Choosing Variables. 2.3 Making Assumptions 2.4 Solving the Equations 2.5 Interpreting the Solutionand Validating the Model 2.6 Criticising and Improving the Model. Chapter 3. Mathematical Modelling in Action 3.1 Introduction 3.2 Howto use the Articles. Chapter 4. Developing Modelling Skills. 4.1 Modelling Problems 4.2 Simulation Modelling 4.3 Dimensional AnalysisModelling Answers to Selected Problems Index of Modelling Problems Index. Assuming virtually no prior knowledge, Modular Mathematics encourages the reader to develop and solve real models, as well as looking at traditional examples. Accessible and concise, it contains tutorial problems, case studies and exercises One of the simplest mathematical models is a linear one which represents the relation between two variables by a straight line graph.