Books with title Linear Programming and Optimisation: Problem Solving using the Casio fx-991ES Calculator

Mathematical modelling is a highly desirable skill to have as it has applications across all areas of science, engineering and technology. Traditionally it has been a difficult skill to acquire owing to the problems of implementation. However armed with the Casio fx-991ES Plus calculator, it is surprising how much can be learned and achieved with this modestly costing device. There was a time when only engineering was all about numbers; now life sciences, biology in particular, is now making mathematical demands on its graduates. In particular the modelling of biological systems and their behaviour. A good mathematical skill set is therefore essential for all scientists. This book has been written to help you develop a modelling mindset as you progress through your A Level Maths course. The task of being able to express a problem in terms of equations and then perform calculations can be achieved with relative ease when using a scientific calculator.

Every student doing A Level maths or Further Maths will be expected to gain some knowledge of calculus and integrations in particular. The standard text books in the subject are adequate for satisfying the requirement of the syllabus. However, to gain a further understanding of integration it’s necessary to work through a varied range of examples. This book offers the reader the opportunity of doing just that. To perform integrations a good knowledge of the standard methods ofsubstitution and integration by parts is required and the examples in this book clearly demonstrate these methods.

Linear programming is part of a larger subject known as Operations Research which deals with methods of allocating resources in the most efficient way possible. In itself linear programming is a big subject and this book only covers a small part and serves as a brief introduction only.Linear programming problems relate to maximising or minimising resources, such as maximising the profit on a set of products or services. When first learning about linear programming you need to plot the constraints of your problem which derive from inequalities. From the plots you should then be able to maximise the objective function.In this book you are shown how you can use your fx-991ES calculator to perform linear programming calculations without having to resort to actually plotting functions yourself.

Welcome to Part 2 of this series on calculus where the focus will be on integration. Proficiency in performing integration comes as a result of practice and this book has many exercises for you to work through. As in Part 1, you should use this book to compliment the work you are given in the class room. You will need to have worked through Part1 of this two part set on differentiation in order to understand a number of the techniques which are discussed in Part 2. You will discover how to use the power of your Casio fx-991ES Plus to work through many integration problems. You will find that it’s a real asset in furthering your understanding of calculus.

Calculus is an important part of A Level Mathematics and Part 1 of this two series focuses on differentiation, althoughChapter 10 is on Series and Series Expansions. It’s assumed you have already gained a very high grade in GCSE Maths andyou have good basic skills in algebra and trigonometry. The Casio calculator you are recommended to have in order tomake the most of this book is the fx-991 ES PLUS which is shown on the cover of the book.