.

0 (hodnocen0 x )

BK

Harlow : Pearson, 2012

xii, 1044 stran : ilustrace (převážně barevné), portréty ; 27 cm

ISBN 978-0-435-07496-8 (brožováno)

Pearson baccalaureate

Always learning

Obsahuje rejstřík

Označení na hřbetu: HL

001459746

?) Contents // Introduction // VII // 1 Fundamentals l // 1.1 Sets, inequalities, absolute value and properties of real numbers 1 // 1.2 Roots and radicals (surds) 14 // 1.3 Exponents (indices) 20 // 1.4 Scientific notation (standard form) 24 // 1.5 Algebraic expressions 26 // 1.6 Equations and formulae 35 // 2 Functions 46 // 2.1 Definition of a function 46 // 2.2 Composite functions 57 // 2.3 Inverse functions 61 // 2.4 Transformations of functions 70 // 3 Algebraic Functions, Equations and Inequalities 90 // 3.1 Polynomial functions 91 // 3.2 Quadratic functions 99 // 3.3 Zeros, factors and remainders 112 // 3.4 Rational functions 126 // 3.5 Other equations and inequalities 132 // 3.6 Partial fractions (optional) 144 // 4 Sequences and Series 151 // 4.1 Sequences 151 // 4.2 Arithmetic sequences 155 // 4.3 Geometric sequences 158 // 4.4 Series 164 // 4.5 Counting principles 174 // 4.6 The binomial theorem 183 // 4.7 Mathematical induction 190 // 5 Exponential and Logarithmic Functions 206 // 5.1 Exponential functions 206 // 5.2 Exponential growth and decay 211 // 5.3 The number e 216 // 5.4 Logarithmic functions 224 // 5.5 Exponential and logarithmic equations 234 // 6 Matrix Algebra (optional) 246 // 6.1 Basic definitions 247 // 6.2 Matrix operations 249 // 6.3 Applications to systems 256 // 6.4 Further properties and applications 267 // Contents ___—--- // 7 Trigonometrie Functions and Equations 279 // 7.1 Angles, circles, arcs and sectors 280 // 7.2 The unit circle and

trigonometric functions 288 // 7.3 Graphs of trigonometric functions 301 // 7.4 Trigonometric equations 314 // 7.5 Trigonometric identities 322 // 7.6 Inverse trigonometric functions 335 // 8 Triangle Trigonometry 350 // 8.1 Right triangles and trigonometric functions of acute angles 350 // 8.2 Trigonometric functions of any angle 361 // 8.3 The law of sines 369 // 8.4 The law of cosines 376 // 8.5 Applications 383 // 9 Vectors 398 // 9.1 Vectors as displacements in the plane 399 // 9.2 Vector operations 402 // 9.3 Unit vectors and direction angles 409 // 9.4 Scalar product of two vectors 419 // 10 Complex Numbers 428 // 10.1 Complex numbers, sums, products and quotients 429 // 10.2 The complex plane 440 // 10.3 Powers and roots of complex numbers 449 // 11 Statistics 463 // 11.1 Graphical tools 465 // 11.2 Measures of central tendency 480 // 11.3 Measures of variability 486 // 12 Probability 516 // 12.1 Randomness 516 // 12.2 Basic definitions 519 // 12.3 Probability assignments 525 // 12.4 Operations with events 537 // 12.5 Bayes’theorem 552 // 13 Differential Calculus I: Fundamentals 571 // 13.1 Limits of functions 572 // 13.2 The derivative of a function: definition and basic rules 580 // 13.3 Maxima and minima - first and second derivatives 599 // 13.4 Tangents and normals 615 // 14 Vectors, Lines and Planes 626 // 14.1 Vectors from a geometric viewpoint 627 // 14.2 Scalar (dot) product 637 // 14.3 Vector (cross) product 644 // 14.4 Lines in space // 14.5 Planes // 653

// 670 // 15 Differential Calculus II: Further Techniques and Applications 700 // 15.1 Derivatives of composite functions, products and quotients 701 // 15.2 Derivatives of trigonometric and exponential functions 716 // 15.3 Implicit differentiation, logarithmic functions and inverse // trigonometric functions 729 // 15.4 Related rates 745 // 15.5 Optimization 753 // 16 Integral Calculus 771 // 16.1 Anti-derivative 771 // 16.2 Methods of integration: integration by parts 781 // 16.3 More methods of integration 787 // 16.4 Area and definite integral 795 // 16.5 Integration by method of partial fractions (optional) 809 // 16.6 Areas 812 // 16.7 Volumes with integrals 819 // 16.8 Modelling linear motion 826 // 16.9 Differential equations (optional) 836 // 17 Probability Distributions 854 // 17.1 Random variables 854 // 17.2 The binomial distribution 870 // 17.3 Poisson distribution 881 // 17.4 Continuous distributions 889 // 17.5 The normal distribution 902 // 18 The Mathematical Exploration - Internal Assessment 922 // 19 Sample Examination Papers 932 // 20 Theory of Knowledge 952 // Answers 970 // Index 1035 // Options // Topic 7 - Statistics and probability // Topic 8 - Sets, relations and groups // Topic 9 - Calculus // Topic 10 - Discrete mathematics // All accessed through the online e-book (see page ix)