Books with title Calculus 1: Problem Solving using the Casio fx-991ES Calculator

Statistics is an integral part of your A Level maths syllabus and you will be expected to gain a reasonable working knowledge of the subject. No doubt you will have heard the word statistics on many occasions and in this part of your course you will gain a better understanding of what statistics is all about. Statistics deals with numbers, in particular sets of numbers that are normally derived from measurements. However unlike other areas of mathematics, statistics relates to uncertainty. The first chapter is therefore on probability and how it relates to statistics. As you will discover, statistics is about calculating best estimates and determining the confidence in those estimates. You will be introduced to methods for dealing with differentlytypes of data, small data sets or samples taken from much larger data sets.

If you have worked through Statistics Part 1 and Statistics Part 2 from Cambridge Paperbacks you will have gathered by nowthe subject of statistics requires a great deal of personal application in order to gain a good working knowledge of thesubject. Further Statistics builds on the knowledge you have already acquired. You will find that not all the subjects coveredin this book are included in the Statistics strand of your A Level Further Maths. That will depend on the examination boardsyllabus you are following. Many statistical techniques involve a methodology which is acquired with practice. An important part of the learning process is for you to work through each example using your own Casio fx-991ES Plus calculator. The results should be entered into your own note book – this is active learning and it’s only by doing this that you are likely to gain maximum benefit from the Cambridge Maths Method which underpins the whole learning process.

This book has been written to enable you to gain a good understanding of trigonometry and how your Casio fx-991ES Plus calculator can be used to further your understanding of the subject. Trigonometry forms an important part of your A Level Maths syllabus and this book should be used alone side your classroom text book on the subject. It will provide you with the skills to perform trigonometry calculations on your fx-991ES Plus calculator. You will already have covered some of the material in this book in your GCSE Key Stages 4, in fact the first few chapters will consulate your existing knowledge.

The second book on statistics in the Cambridge Paper-backs A Level Maths series contains much of the material you will need to continue on building your knowledge of the subject. Much of this book is given over to statistical methods and you will need a good understanding of them to gain a solid working knowledge of the subject. As with the first book, the Casio fx-991ES Plus calculator can play a significant role in furthering your understanding of statistics. You will be introduced to several of the in-built features the calculator has specifically for statistical calculations. You may have noticed by now, the major difference be-tween traditional maths and statistics that is the level of precision, the results of statistical processing are only approximations and not absolute values.

Matrices and Complex Numbers are crucial components of mathematics and a good understanding of how to use them is particularly important. This book, as the others in this series, is meant to work alongside your recommended text books you use in your A Level Mathematics. It acts as a supplement and will show you how the Casio fx-991ES Plus can be used to great effect in problem solving in both matrices and complex numbers. The fx-991ES Plus has features that are specifically designed to perform matrix calculations and complex numbers calculations. This book will show you how to use these features effectively.

When there is a need to perform calculations on arrays of numbers at the same time, then matrices are used. In fact computers processing huge arrays of numbers use matrices. A good working knowledge of matrices is essential for every applied mathematician. In this book you will be introduced to a few basic concepts of matrices and how your fx calculator can be used to perform quite difficult matrix calculations.You will see an alternative way of looking at simultaneous equationsand also rotation of vectors in 2D space. Using your fx-991ES PLUS or fx-115ES PLUS calculator you can actually perform these calculations yourself and not just read about them. A little known fact – your fx calculator has some very powerful features for performing complex number calculations.

Mechanics forms substantial part of your A Level Mathematics course and your Casio fx-991ES Plus calculator will prove invaluable as you gain an understanding and working knowledge of the subject. In this, the first of two books on mechanics, you will find many of the subject areas you are likely to encounter in the classroom. When your maths teacher introduces you to mechanics, as each new topic is started, look up the relevant chapter in this this book (or Book 2). Use it alongside the material your teacher covers and the material in your maths course book. You will find that many of the problems you are asked to work through are covered in this book and you will be able to use the same Casio fx-991ES Plus keystrokes to help you solve the problems.

Being good at algebra is an essential skill for anyone who uses mathematics. This is especially true if you are pursuing an A Level in maths. You can say algebra is the most fundamental maths skill. This book will give you the opportunity of enhancing your algebraic skills together with building your proficiency on the fx-991ES calculator.As expected, in every example the keystrokes for your calculator are given. It’s a really good idea for you to repeat the same keystrokes so to strengthen your understanding of algebra. In particular this book will convince you that your fx-991ES calculator should be a constant companion as you work on algebraic problems.Graphs are also included in many of the Examples as these will help in furthering your understanding and insight into functions and their behaviour.

Modelling is an important skill to acquire as it’s applicable to many areas of engineering and science. It is fair to say that today, there is no scientific discipline which would not benefit from the use of mathematical modelling.To get you started in developing a modelling mindset, you will be introduced to the principle of the Cambridge Maths Method which is,1. Here is the problem.2. Construct a mathematical model.3. Put numbers into your model.4. Here is the result, change the numbers to see new results.This method is applied to the many examples throughout this book; for example, a mathematical model is derived to give the volume or area of a composite structure – a shape or structure is made up of fundamental components with which you are already familiar.The importance of putting numbers into your model and seeing it produce results cannot be overemphasised. This is where the Casio fx-991ES Plus calculator proves to be an invaluable resource in your learning experience. It’s therefore important for you to work through each example using your own fx-991ES calculator so you are able to perform the calculations 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.

As you progress through your education you will be pursuing a maths course and the basic skill you need to acquire is algebra. This book will help you to build you maths skill set at the same time teach you to make effective use of your scientific calculator. In every example the keystrokes for your calculator are given, all you have to do is repeat the same keystrokes and you will get the correct answers. The more times you do this, the more confident you will become at using your calculator as a real resource in helping you to develop your algebraic skills. There are several examples on deriving equations for calculating the volume of geometric shapes and composites. These are valuable lessons as they introduce you to the world of mathematical modelling. Today there is a great need for these skills and this is an excellent place to start.This book therefore has many examples showing you how your fx-991ES calculator can be really useful in solving quite difficult maths problems. You will be pleased to know your maths skills are improving as you work through the examples.

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.