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E-grāmata: Mathematics for the IB Diploma: Analysis and approaches HL: Analysis and approaches HL

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  • Formāts: EPUB+DRM
  • Izdošanas datums: 19-Nov-2021
  • Izdevniecība: Hodder Education
  • Valoda: eng
  • ISBN-13: 9781510461840
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  • Formāts: EPUB+DRM
  • Izdošanas datums: 19-Nov-2021
  • Izdevniecība: Hodder Education
  • Valoda: eng
  • ISBN-13: 9781510461840
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Enable students to construct, communicate and justify correct mathematical arguments with a range of activities and examples of maths in the real world.- Engage and excite students with examples and photos of maths in the real world, plus inquisitive starter activities to encourage their problem-solving skills- Build mathematical thinking with our 'Toolkit' and mathematical exploration chapter, along with our new toolkit feature of questions, investigations and activities- Develop understanding with key concepts and applications integrated throughout, along with TOK links for every topic- Prepare your students for assessment with worked examples, and extended essay support- Check understanding with review exercise midway and at the end of the coursebookFollows the new 2019 IB Guide for Mathematics: analysis and approaches Higher LevelAvailable in the seriesMathematics for the IB Diploma: Analysis and approaches SLStudent Book ISBN: 9781510462359 Student eTextbook ISBN: 9781510461895 Whiteboard eTextbook ISBN: 9781510461901 Mathematics for the IB Diploma: Analysis and approaches HLStudent Book ISBN: 9781510462366 Student eTextbook ISBN: 9781510461857 Whiteboard eTextbook ISBN: 9781510461864 SL & HL Teaching & Learning Resources ISBN: 9781510461918 Mathematics for the IB Diploma: Applications and interpretation SLStudent Book ISBN: 9781510462380 Student eTextbook ISBN: 9781510461994 Whiteboard eTextbook ISBN: 9781510462007 Mathematics for the IB Diploma: Applications and interpretation HLStudent Book ISBN: 9781510462373 Student eTextbook ISBN: 9781510461956 Whiteboard eTextbook ISBN: 9781510461963 SL and HL Teaching & Learning Resources ISBN: 9781510462014 Dynamic learning packages (include Teaching & Learning resources and Whiteboard eTextbooks)Analysis & approaches SL & HL ISBN: 9781510461925Applications and interpretation SL and HL ISBN: 9781510462021 Analysis & approaches SL & HL and Applications and interpretation SL and HL ISBN: 9781510468474
Introduction v
Chapter 1 Counting principles
2(14)
1A Basic techniques
4(7)
1B Problem solving
11(5)
Chapter 2 Algebra
16(18)
2A Extension of the binomial theorem to fractional and negative indices
18(4)
2B Partial fractions
22(3)
2C Solutions of systems of linear equations
25(9)
Chapter 3 Trigonometry
34(22)
3A Further trigonometric functions
36(8)
3B Compound angle identities
44(12)
Chapter 4 Complex numbers
56(38)
4A Cartesian form
58(7)
4B Modulus-argument form and Euler form
65(9)
4C Complex conjugate roots of quadratic and polynomial equations with real coefficients
74(5)
4D Powers and roots of complex numbers
79(8)
4E Trigonometric identities
87(7)
Chapter 5 Mathematical proof
94(14)
5A Proof by induction
96(6)
5B Proof by contradiction
102(2)
5C Disproof by counterexample
104(4)
Chapter 6 Polynomials
108(24)
6A Graphs and equations of polynomial functions
110(8)
6B The factor and remainder theorems
118(4)
6C Sum and product of roots of polynomial equations
122(10)
Chapter 7 Functions
132(44)
7A Rational functions of the form f(x) = ax+b/cx2 + dx +e and f(x) = ax2 + bx + c/dx +e
134(5)
7B Solutions of g(x) ≥ f(x), both analytically and graphically
139(4)
7C The graphs of the functions y = |f(x)| and y = f(|x|)
143(8)
7D The graphs of the functions y = 1/f(x), y = f(ax + b) and y = [ f(x)]2
151(12)
7E Properties of functions
163(13)
Chapter 8 Vectors
176(86)
8A Introduction to vectors
178(12)
8B Vectors and geometry
190(9)
8C Scalar product and angles
199(8)
8D Equation of a line in three dimensions
207(14)
8E Intersection of lines
221(5)
8F Vector product and areas
226(8)
8G Equation of a plane
234(8)
8H Angles and intersections between lines and planes
242(20)
Chapter 9 Probability
262(32)
9A Bayes' theorem
264(6)
9B Variance of a discrete random variable
270(4)
9C Continuous random variables
274(20)
Chapter 10 Further calculus
294(56)
10A Fundamentals of calculus
297(9)
10B L'Hopital's rule
306(4)
10C Implicit differentiation
310(2)
10D Related rates of change
312(2)
10E Optimization
314(3)
10F Calculus applied to more functions
317(7)
10G Integration by substitution
324(3)
10H Integration by parts
327(5)
10I Further geometric interpretation of integrals
332(18)
Chapter 11 Series and differential equations
350(36)
11A First order differential equations and Euler's method
352(5)
11B Separating variables and homogeneous differential equations
357(5)
11C Integrating factors
362(4)
11D Maclaurin series
366(9)
11E Using Maclaurin series to solve differential equations
375(11)
Analysis and approaches HL: Practice Paper 1 386(3)
Analysis and approaches HL: Practice Paper 2 389(4)
Guidance for Paper 3 393(1)
Analysis and approaches HL: Practice Paper 3 394(2)
Answers 396(81)
Glossary 477(2)
Index 479
Biežāk uzdotie jautājumi par e-grāmatām Biežāk uzdotie jautājumi par e-grāmatām
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