Cambridge Additional Mathematics

Additional Mathematics Haese Mathematics specialists in mathematics publishing Michael Haese Sandra Haese Mark Humphries Chris S ...

CAMBRIDGE ADDITIONAL MATHEMATICS (0606) ( ) Michael Haese B.Sc.(Hons.), Ph.D. Sandra Haese B.Sc. Mark Humphries B.Sc.(Hons.) Chr ...

FOREWORD This book has been written to cover the ‘ ’ and the courses over a one-year period. These syllabuses enable learners to ...

ABOUT THE AUTHORS Michael Haesecompleted a BSc at the University of Adelaide, majoring in Infection and Immunity, and Applied Ma ...

The interactive Student CD that comes with this book is designed for those who want to utilise technology in teaching and learni ...

SYMBOLS AND NOTATION USED IN THIS BOOK N the set of natural numbers, f 1 , 2 , 3 , ....g Z the set of integers, f 0 ,§ 1 ,§ 2 ,§ ...

7 Pn i= ai a 1 +a 2 +::::+an f functionf f:x 7 !yfis a function under whichxis mapped toy f(x) the image ofxunder the functionf ...

8 Table of contents a x Table of contents ...

fax b(+) - USED IN THIS BOOK SYMBOLS AND NOTATION 1 SETS AND VENN DIAGRAMS 2 FUNCTIONS 3 QUADRATICS EXPONENTIALS 4 SURDS, IND ...

IGCSE cyan magenta yellow black (^05255075950525507595) 100 100 (^05255075950525507595) 100 100 Y:\HAESE\CAM4037\CamAdd_00\010Ca ...

Sets and Venn diagrams 1 Contents: A Sets B Interval notation C Relations D Complements of sets E Properties of union and inters ...

12 Sets and Venn diagrams (Chapter 1) Opening problem A city has three football teams in the national league: A,B, andC. In the ...

Sets and Venn diagrams (Chapter 1) 13 COUNTING ELEMENTS OF SETS The number of elements in setAis written n(A). For example, the ...

14 Sets and Venn diagrams (Chapter 1) DISJOINT SETS Two sets aredisjointormutually exclusiveif they have no elements in common. ...

Sets and Venn diagrams (Chapter 1) 15 6 True or false? a 1272 N b^1382792 Q c 3172 =Q d ¡ 114 2 Q 7 Which of these pairs of sets ...

16 Sets and Venn diagrams (Chapter 1) CLOSED AND OPEN INTERVALS Anintervalis a connected subset of the number lineR. An interval ...

y O x y x 3 Ew y=2x+ O y -2 2 x 2 O we write A*B. IfAisnota subset ofB, -3 -2 -1 0 1 2 x 012345 x Sets and Venn diagrams ( ...

18 Sets and Venn diagrams (Chapter 1) EXERCISE 1C 1 Illustrate the following sets in the Cartesian plane. In each case state whe ...

Sets and Venn diagrams (Chapter 1) 19 Example 3 Self Tutor FindC^0 given that: a U=fall positive integersg and C=fall even integ ...

20 Sets and Venn diagrams (Chapter 1) 6 Consider the set of real numbersR. Write down the complement of: a (¡1,0) b [1, 1 ) c [¡ ...