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IB Mathematics Higher Level 2nd Revised edition [Minkštas viršelis]

4.33/5 (21 ratings by Goodreads)
  • Formatas: Paperback / softback, 832 pages, aukštis x plotis x storis: 254x194x35 mm, weight: 1938 g, Illustrations (chiefly col.)
  • Išleidimo metai: 08-Mar-2012
  • Leidėjas: Oxford University Press
  • ISBN-10: 0199129347
  • ISBN-13: 9780199129348
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 832 pages, aukštis x plotis x storis: 254x194x35 mm, weight: 1938 g, Illustrations (chiefly col.)
  • Išleidimo metai: 08-Mar-2012
  • Leidėjas: Oxford University Press
  • ISBN-10: 0199129347
  • ISBN-13: 9780199129348
Kitos knygos pagal šią temą:
This book which is part of a completely new series provides extensive practice, examination support, complete solutions, a digital e-book with GDC coverage for several calculators, and contains the most thorough coverage while supplying content which is crucial for the IB student. Providing carefully stepped activities with extensive practice, students will gain confidence in skills and knowledge. They will make connections to other subjects and the wider world through links and activities. There are opportunities to appreciate the international dimensions of mathematics and the wider connections it has to historical and cultural perspectives. An e-book is provided in the latest digital format to bring the subject to life on screen. Animations provide support for difficult and challenging subjects and full GDC instructions for the most commonly used and most recent graphic display calculators are provided. In addition a full chapter will help students with the new Mathematics Exploration.

Recenzijos

I am impressed by this book which presents IB mathematics in a very attractive and user friendly manner. I will certainly be recommending its use. I very much like the way that each chapter has had a theme assigned to it, together with a couple of pages of TOK on that theme. I also quite like the order in which topics have been arranged. David Getling, Mathematics Teacher, Bavarian International School, Germany 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 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 We have adopted most of the Oxford course books for our school. We find them well written, well linked to TOK issues and age appropriate. Sheta Saha, IB Coordinator, Chatsworth International School, Singapore We like the structure with presumed knowledge, pre-test and exam style questions for each chapter. The including of IA requirements is very positive, so the students have full access to them through the process. Annemarie Matsson, IB Mathematics Teacher, Katedralskolan Skara, Sweden

Daugiau informacijos

Full coverage and inquiry based, this is your core book
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(1)
Practice paper 1 754(3)
Practice paper 2 757(3)
Answers 760(51)
Index 811