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© Penerbit UTHM First Published 2017 Second Published 2019

Copyright reserved. Reproduction of any articles, illustrations and content of this book in any form be it electronic, mechanical photocopy, recording or any other form without any prior written permission from The Publisher’s Office of Universiti

Tun Hussein Onn Malaysia, Parit Raja, Batu Pahat, Johor is prohibited. Any negotiations are subjected to calculations of royalty and honorarium.

Perpustakaan Negara Malaysia Cataloguing—in—Publication Data Tay, Kim Gaik

Numerical Methods with CASIO fx-570ES PLUS Calculator / TAY KIM GAIK, PHANG CHANG, LIM KIAN BOON.

Includes index

Bibliography: page 253 ISBN 978-967-0764-75-7

1. Calculators. 2. Mathematical instruments.

I. Phang, Chang. II. Lim, Kian Boon. III. Title.

510.284

Published by:

Penerbit UTHM

Universiti Tun Hussein Onn Malaysia 86400 Parit Raja,

Batu Pahat, Johor No. Tel: 07-453 7051 No. Faks: 07-453 6145 Website: http://penerbit.uthm.edu.my

E-mail: [email protected] http://e-bookstore.uthm.edu.my Penerbit UTHM is a member of Majlis Penerbitan Ilmiah Malaysia

(MAPIM) Printed by:

PERCETAKAN IMPIAN SDN BHD No. 67, Jalan Bukit 9, Kawasan Perindustrian Miel

Bandar Baru Seri Alam 81750 Masai, Johor

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v

To Teoh Eng Soon, Teoh Sin Yee and Teoh Jia Wei To Kuan Kai Chin, Phang Yi Yang and Phang Yi Ler

To Ang Yean Cheng

And our parents, families, friends and students.

Dedications

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vii

Preface xi

Acknowledgement xiii

PRELIMINARY NOTES

01 CALCULATOR KEYS xvi

02 MODE AND SETTING xvii

02.1 Mode xvii

02.2 Setting xvii

A Fix xvii

B Radian xviii

03 FRACTION TO DECIMAL xviii

04 ERROR MESSAGES xviii

05 US MEVIOEMORYCLEARPR xix

06 ASSIGNMENT KEY (=) xix

07 COLON KEY (:) FOR MULTI STATEMENTS CALCULATION xx CHAPTER 1 INTRODUCTION TO NUMERICAL METHODS AND

ERRORS

1.0 INTRODUCTION 1

1.1 ROUND-OFF ERROR 4

1.2 TRUNCATION ERROR 5

1.3 ERROR ANALYSIS 7

EXERCISE 1 9

ANSWER 1 9

CHAPTER 2 NON-LINEAR EQUATIONS

2.0 INTRODUCTION 11

2.1 INTERMEDIATE VALUE THEOREM 11

2.2 BISECTION METHOD 12

2.3 SECANT METHOD 15

2.4 NEWTON-RAPHSON METHOD 17

2.5 FIXED POINT ITERATION METHOD 20

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