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Oxford IB Diploma Programme: Mathematics Higher Level Course Companion [Multiple-component retail product]

  • Formaat: Multiple-component retail product, 832 pages, kõrgus x laius x paksus: 255x197x36 mm, kaal: 1694 g, Full Colour, Contains 1 Paperback / softback and 1 CD-ROM
  • Sari: Oxford IB Diploma Programme
  • Ilmumisaeg: 16-Aug-2012
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198390122
  • ISBN-13: 9780198390121
Teised raamatud teemal:
  • Multiple-component retail product
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  • * hind on lõplik, st. muud allahindlused enam ei rakendu
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  • Formaat: Multiple-component retail product, 832 pages, kõrgus x laius x paksus: 255x197x36 mm, kaal: 1694 g, Full Colour, Contains 1 Paperback / softback and 1 CD-ROM
  • Sari: Oxford IB Diploma Programme
  • Ilmumisaeg: 16-Aug-2012
  • Kirjastus: Oxford University Press
  • ISBN-10: 0198390122
  • ISBN-13: 9780198390121
Teised raamatud teemal:
Uniquely developed with the IB curriculum team, this online course book will ensure your students achieve their best. Blending mathematical applications with crucial practice and inquiry, it fully integrates the IB approach to learning.

Full syllabus coverage - the truest match to the IB syllabus, developed with the IB to exactly match IB specifications Complete worked solutions - a full set of worked solutions included online Extensive practice - over 800 pages of practice cements comprehension Up-to-date GDC support - take the confusion out of GDC use and help students focus on the theory Definitive assessment preparation - exam-style papers and questions will build confidence The Exploration - supported by a full chapter, to guide you through this new component Real world approach - connect mathematics with human behaviour, language, morality and more

About the series: The only DP resources developed directly with the IB, the Oxford IB Course Books are the most comprehensive core resources to support learners through their study. Fully incorporating the learner profile, resources are assessed by consulting experts in international-mindedness and TOK to ensure these crucial components are deeply embedded into learning.

Arvustused

If you are considering purchasing a new Higher Level maths text, I would highly recommend this book - and I'm sure your students will appreciate the choice. I like the way the chapters are themed, with a couple of pages devoted to TOK at the end of each one. I am also impressed with the content. A typical example of this would be the very clear manner in which synthetic division is explained - the best I've come across. I was also pleased to see Decartes' Rule of Signs and the Rational Zero Theorem: the book abounds with such touches. Another nice feature is the CD, which, among other goodies, contains the entire book. * David Getling, Mathematics Teacher, Bavarian International School, Germany * I am enjoying using the HL text; it is a lot of fun. I like the explorations, historical information, imaginative questions and the efficiency of the exercises. It's a challenging and interesting book. * David Harris, Head of Mathematics, St Clare's, UK * I think the chapter titles for the HL book are absolutely inspired as they really do help to place Maths in an international context and put TOK at the forefront. Titles such as 'Maths as a language' and 'aesthetics in maths' are so much better than 'functions' or 'logarithms and exponentials'. * Paul Jackson, Head of Mathematics, Island School, Hong Kong * It contains everything needed for IB higher level and contains a section which shows you what skills you need to know for Higher Level Maths in IB. * H M Iqbal, Amazon Reviewer * The committee thinks the books are well written, easy to follow, and they like the TI-NSpire technology throughout. * Education Ministry, Canada * The Oxford IB course books are the best ever resource for both teachers and students. They are practical, insightful and fully in line with the IB Course outcomes. * Pat Hanson, IB Coordinator, Academy of the Holy Cross, USA *

Muu info

The only DP resources developed with the IB
  Chapter 1 Mathematics as the science of patterns
  2 (46)
  1.1 Number patterns: sequences, series and sigma notation
  5 (5)
  1.2 Arithmetic sequences and series
  10 (5)
  1.3 Geometric sequences and series
  15 (9)
  1.4 Conjectures and proofs
  24 (1)
  1.5 Mathematical induction
  25 (6)
  1.6 Counting methods
  31 (7)
  1.7 The binomial theorem
  38 (10)
  Chapter 2 Mathematics as a language
  48 (48)
  2.1 Relations and functions
  50 (4)
  2.2 Special functions and their graphs
  54 (16)
  2.3 Operations with functions
  70 (9)
  2.4 Transformations of graphs of functions
  79 (17)
  Chapter 3 The long journey of mathematics
  96 (70)
  3.1 Introduction to complex numbers
  97 (12)
  3.2 Operations with complex numbers
  109 (9)
  3.3 Polynomial functions: graphs and operations
  118 (13)
  3.4 Polynomial functions: zeros, sum and product
  131 (9)
  3.5 Polynomial equations and inequalities
  140 (13)
  3.6 Solving systems of equations
  153 (13)
  Chapter 4 Modeling the real world
  166 (66)
  4.1 Limits, continuity and convergence
  168 (12)
  4.2 The derivative of a function
  180 (9)
  4.3 Differentiation rules
  189 (16)
  4.4 Exploring relationships between f,f' and f"
  205 (3)
  4.5 Applications of differential calculus: kinematics
  208 (3)
  4.6 Applications of differential calculus: economics
  211 (4)
  4.7 Optimization and modeling
  215 (3)
  4.8 Differentiation of implicit functions
  218 (3)
  4.9 Related rates
  221 (11)
  Chapter 5 Aesthetics in mathematics
  232 (46)
  5.1 Recursive functions
  234 (4)
  5.2 Properties of exponents and logarithms
  238 (5)
  5.3 Euler's number and exponential functions
  243 (5)
  5.4 Invariance and the exponential function - a different approach to Euler's number
  248 (1)
  5.5 Logarithms and bases
  249 (9)
  5.6 Logarithmic functions and their behavior
  258 (3)
  5.7 Derivatives of exponential and logarithmic functions
  261 (6)
  5.8 Angles, arcs and areas
  267 (11)
  Chapter 6 Exploring randomness
  278 (64)
  6.1 Classification and representation of statistical data
  280 (8)
  6.2 Measures of central tendency
  288 (3)
  6.3 Measures of dispersion
  291 (8)
  6.4 Theoretical probability
  299 (7)
  6.5 Probability properties
  306 (2)
  6.6 Experimental probability
  308 (4)
  6.7 Conditional probability
  312 (6)
  6.8 Independent events
  318 (3)
  6.9 Probability tree diagrams
  321 (5)
  6.10 Bayes' theorem
  326 (16)
  Chapter 7 The evolution of calculus
  342 (40)
  7.1 Integration as anti-differentiation
  344 (8)
  7.2 Definite integration
  352 (3)
  7.3 Geometric significance of the definite integral
  355 (27)
  Chapter 8 Ancient mathematics and modern methods
  382 (52)
  8.1 The right-angled triangle and trigonometric ratios
  384 (5)
  8.2 The unit circle and trigonometric ratios
  389 (9)
  8.3 Compound angle identities
  398 (3)
  8.4 Double angle identities
  401 (2)
  8.5 Graphs of trigonometric functions
  403 (6)
  8.6 The inverse trigonometric functions
  409 (3)
  8.7 Solving trigonometric equations
  412 (3)
  8.8 The cosine rule
  415 (3)
  8.9 The sine rule
  418 (5)
  8.10 Area of a triangle
  423 (11)
  Chapter 9 The power of calculus
  434 (60)
  9.1 Derivatives of trigonometric functions
  436 (14)
  9.2 Related rates of change with trigonometric expressions
  450 (5)
  9.3 Integration of trigonometric functions
  455 (6)
  9.4 Integration by substitution
  461 (5)
  9.5 Integration by parts
  466 (6)
  9.6 Special substitutions
  472 (8)
  9.7 Applications and modeling
  480 (14)
  Chapter 10 Modeling randomness
  494 (60)
  10.1 Discrete random variables and distributions
  496 (7)
  10.2 Binomial distribution
  503 (10)
  10.3 Poisson distribution
  513 (7)
  10.4 Continuous random variables
  520 (12)
  10.5 Normal distribution
  532 (12)
  10.6 Modeling and problem solving
  544 (10)
  Chapter 11 Inspiration and formalism
  554 (74)
  11.1 Geometric vectors and basic operations
  556 (7)
  11.2 Introduction to vector algebra
  563 (8)
  11.3 Vectors, points and equations of lines
  571 (12)
  11.4 Scalar product
  583 (9)
  11.5 Vector (cross) product and properties
  592 (4)
  11.6 Vectors and equations of planes
  596 (3)
  11.7 Angles, distances and intersections
  599 (14)
  11.8 Modeling and problem solving
  613 (15)
  Chapter 12 Multiple perspectives in mathematics
  628 (32)
  12.1 Complex numbers as vectors
  630 (3)
  12.2 Complex plane and polar form
  633 (5)
  12.3 Operations with complex numbers in modulus-argument form
  638 (5)
  12.4 Powers and roots of complex numbers: De Moivre's theorem and applications
  643 (7)
  12.5 Mathematical connections
  650 (10)
  Chapter 13 Exploration
  660 (12)
  13.1 About the exploration
  660 (1)
  13.2 Internal assessment criteria
  661 (5)
  13.3 How the exploration is marked
  666 (1)
  13.4 Academic honesty
  666 (1)
  13.5 Record keeping
  667 (1)
  13.6 Choosing a topic
  668 (1)
  13.7 Getting started
  669 (3)
  Chapter 14 Prior learning
  672 (82)
  1 Number
  673 (24)
  2 Algebra
  697 (22)
  3 Geometry
  719 (26)
  4 Statistics
  745 (9)
  Chapter 15 Practice Papers
  754 (6)
  Practice paper 1
  754 (3)
  Practice paper 2
  757 (3)
Answers   760 (51)
Index   811