Table Of ContentMathematics
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for the IB Diploma
CONTENTS
Introduction
|. Exponents and logarithms
1.1 Sulsingsxponerti equations
1.2 Solving disguised quadratic equations
13 Laysof gwiduns
12 Solving equations involving logis
1.5 Proms invatving exponcmial functions
2 Polynomials
21 Using the quai erm
2.2 Hsing the dseriminant
“28: (he completed sqpate Form y uf) 49845
rg quacratis Hutinrs trom heir paps
2.5 Applsing ths binomial sheorsm
5. Functions. graphs and equations:
4.1 Darin ane m ge
42 Invsrss and enmpoite aeons
3.5 Uramratiors a
mis
34 Ration “ines
45 Using the GDC we slve equatives
46 Solving ps ute equations
4 Sequences and series
4.1 Arilhtetic sequences ah sess
4.2 Goomtrc sequences and sess
45 Appeations
5 Trigonometry 34
5.1 Tanstovmarione of wigenouicti gaps 6
5.2 sang dentioes oo find ovcot values of rigancmecs Husctions 3
5.3 Solving tigomometie equations #
5.4 Using ientes solve gonometic tions 3°
SS Georey of bales wal vieles 0
5.6 The ambiguevs case ofthe sae ale al
© Vectors:
6 Proviug geurtetscal ppenties wring vectors
152. Fanation of liu le teseeson of 2405 “s
fa Angles herwecn Taos 50
fa Anplyiny veators to mation s
© Dilferentiation 54
7.1 Ditersointios eon: Hs pincipes a
5.2 the prone, quariont and can tes 58
“$ sangonts urd noms »
4 Suuionary pins 60
4.5 Opuinisctien with eunsoxinse 6
Fi Poinss of infexion ca
5 Inrpeercg graphs a
R Kinemaces 66
© Integration 68
6.1 Inwgrotng expresions ”
2 Binticp creas 1
8.3 Volumes of ravattion n
4 Kinetics
£5 Inegretion by substitution
Con
10
2
13
Descriptive statistics
8.1 Miata yuuiles
9.9 Mean,
sondern ee fequcney sigs
9.4 Cunmtarse eqnaney
94 Box and whisker ecu aa unapargg Jal es
95 Chvrelation and egession
Probability
10.1 Caooering potable hy eons se oes
1112 Ve Agra and ast meton
113 Tre diagrams
14 Discree vadom vaebles
10.5 The baci sisition
1146. The normal ara insese normal sstribaons.
19,7 sin the earl norms) foun whe se 6 sunk
Examination support
Common ears
ow to check yon anes
‘Things you need to know how to do on your calculator
Caso ales
Tess valeulaor
Worked solutions
Answers te practice questions
”
100
im
104
104
os
107
107
un
115
ah
INTRODUCTION
ABOUT THIS BOOK
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IMPORTANT EXAM TIPS
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EXPONENTS AND LOGARITHMS eee
(ii HAT YOU NEED To KNOW
‘Tho eeleronshin hesween exponen asd grithans
2 xT hug.b when os alld le base of He egaian
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and logarithms af
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EXAM TIPS AND COMMON ERRORS
|. SOLVING EXPONENTIAL EQUATIONS
WORKED EXAMPLE 1.1
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lope,
ation dX 5° =, giving yor answer in the fut 2
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Practice questions 1.1
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2, Solve the eyation 3°" <P" ving your asewer inthe form M22 where panda are
‘ratiunol numbers. logy
8. Solve the eyition 342! — 4 yiving sou sneer inthe form 4%” where p andere
‘rotionil numbers. ee dag
1 Exponents andlogarithms ig
|
|.2 SOLVING DISGUISED QUADRATIC EQUATIONS
WORKED EXAMPLE 1.2
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solution cf the equation 3") Ts =,
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Practice questions 1.2
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1 Exponents and logarithms
