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Oxford IB Diploma Programme: IB Mathematics: analysis and approaches
Taschenbuch von Paul La Rondie (u. a.)
Sprache: Englisch

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Beschreibung
Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches SL syllabus, for first teaching in September 2019.
Featuring a wealth of digital content, this concept-based Print and Enhanced Online Course Book Pack has been developed in cooperation with the IB to provide the most comprehensive support for the new DP Mathematics: analysis and approaches SL syllabus, for first teaching in September 2019.
Über den Autor
Paul La Rondie, Jill Stevens, Natasha Awada, Jennifer Chang Wathall, Ellen Thompson, Laurie Buchanan, Ed Kemp
Inhaltsverzeichnis
  • From patterns to generalizations: sequences and series

  • 1.1: Number patterns and sigma notation

  • 1.2: Arithmetic and geometric sequences

  • 1.3: Arithmetic and geometric series

  • 1.4: Modelling using arithmetic and geometric series

  • 1.5: The binomial theorem

  • 1.6: Proofs

  • Representing relationships: introducing functions

  • 2.1: What is a function?

  • 2.2: Functional notation

  • 2.3: Drawing graphs of functions

  • 2.4: The domain and range of a function

  • 2.5: Composition of functions

  • 2.6: Inverse functions

  • Modelling relationships: linear and quadratic functions

  • 3.1: Parameters of a linear function

  • 3.2: Linear functions

  • 3.3: Transformations of functions

  • 3.4: Graphing quadratic functions

  • 3.5: Solving quadratic equations by factorization and completing the square

  • 3.6: The quadratic formula and the discriminant

  • 3.7: Applications of quadratics

  • Equivalent representations: rational functions

  • 4.1: The reciprocal function

  • 4.2: Transforming the reciprocal function

  • 4.3: Rational functions of the form ax+b/cx+d

  • Measuring change: differentiation

  • 5.1: Limits and convergence

  • 5.2: The derivative function

  • 5.3: Differentiation rules

  • 5.4: Graphical interpretation of first and second derivatives

  • 5.5: Application of differential calculus: optimization and kinematics

  • Representing data: statistics for univariate data

  • 6.1: Sampling

  • 6.2: Presentation of data

  • 6.3: Measures of central tendency

  • 6.4: Measures of dispersion

  • Modelling relationships between two data sets: statistics for bivariate data

  • 7.1: Scatter diagrams

  • 7.2: Measuring correlation

  • 7.3: The line of best fit

  • 7.4: Least squares regression

  • Quantifying randomness: probability

  • 8.1: Theoretical and experimental probability

  • 8.2: Representing probabilities: Venn diagrams and sample spaces

  • 8.3: Independent and dependent events and conditional probability

  • 8.4: Probability tree diagrams

  • Representing equivalent quantities: exponentials and logarithms

  • 9.1: Exponents

  • 9.2: Logarithms

  • 9.3: Derivatives of exponential functions and the natural logarithmic function

  • From approximation to generalization: integration

  • 10.1: Antiderivatives and the indefinite integral

  • 10.2: More on indefinite integrals

  • 10.3: Area and definite integrals

  • 10.4: Fundamental theorem of calculus

  • 10.5: Area between two curves

  • Relationships in space: geometry and trigonometry in 2D and 3D

  • 11.1: The geometry of 3D shapes

  • 11.1: Right-angles triangle trigonometry

  • 11.3: The sine rule

  • 11.4: The cosine rule

  • 11.5: Applications of right and non-right angled trigonometry

  • Periodic relationships: trigonometric functions

  • 12.1: Radian measure, arcs, sectors and segments

  • 12.2: Trigonometric ratios in the unit circle

  • 12.3: Trigonometric identities and equations

  • 12.4: Trigonometric functions

  • Modelling change: more calculus

  • 13.1: Derivatives with sine and cosine

  • 13.2: Applications of derivatives

  • 13,3: Integration with sine, cosine and substitution

  • 13.4: Kinematics and accumulating change

  • Valid comparisons and informed decisions: probability distributions

  • 14.1: Random variables

  • 14.2: The binomial distribution

  • 14.3: The normal distribution

  • Exploration

Details
Erscheinungsjahr: 2019
Genre: Importe
Produktart: Schulbücher
Rubrik: Schule & Lernen
Schulfach: Algebra, Geometrie, Mathematik
Medium: Taschenbuch
Inhalt: 725 S.
ISBN-13: 9780198427100
ISBN-10: 0198427107
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: La Rondie, Paul
Stevens, Jill
Awada, Natasha
Chang Wathall, Jennifer
Thompson, Ellen
Buchanan, Laurie
Kemp, Ed
Hersteller: Oxford Children's Books
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Abbildungen: Colour
Maße: 258 x 200 x 30 mm
Von/Mit: Paul La Rondie (u. a.)
Erscheinungsdatum: 21.02.2019
Gewicht: 1,517 kg
Artikel-ID: 115671372
Über den Autor
Paul La Rondie, Jill Stevens, Natasha Awada, Jennifer Chang Wathall, Ellen Thompson, Laurie Buchanan, Ed Kemp
Inhaltsverzeichnis
  • From patterns to generalizations: sequences and series

  • 1.1: Number patterns and sigma notation

  • 1.2: Arithmetic and geometric sequences

  • 1.3: Arithmetic and geometric series

  • 1.4: Modelling using arithmetic and geometric series

  • 1.5: The binomial theorem

  • 1.6: Proofs

  • Representing relationships: introducing functions

  • 2.1: What is a function?

  • 2.2: Functional notation

  • 2.3: Drawing graphs of functions

  • 2.4: The domain and range of a function

  • 2.5: Composition of functions

  • 2.6: Inverse functions

  • Modelling relationships: linear and quadratic functions

  • 3.1: Parameters of a linear function

  • 3.2: Linear functions

  • 3.3: Transformations of functions

  • 3.4: Graphing quadratic functions

  • 3.5: Solving quadratic equations by factorization and completing the square

  • 3.6: The quadratic formula and the discriminant

  • 3.7: Applications of quadratics

  • Equivalent representations: rational functions

  • 4.1: The reciprocal function

  • 4.2: Transforming the reciprocal function

  • 4.3: Rational functions of the form ax+b/cx+d

  • Measuring change: differentiation

  • 5.1: Limits and convergence

  • 5.2: The derivative function

  • 5.3: Differentiation rules

  • 5.4: Graphical interpretation of first and second derivatives

  • 5.5: Application of differential calculus: optimization and kinematics

  • Representing data: statistics for univariate data

  • 6.1: Sampling

  • 6.2: Presentation of data

  • 6.3: Measures of central tendency

  • 6.4: Measures of dispersion

  • Modelling relationships between two data sets: statistics for bivariate data

  • 7.1: Scatter diagrams

  • 7.2: Measuring correlation

  • 7.3: The line of best fit

  • 7.4: Least squares regression

  • Quantifying randomness: probability

  • 8.1: Theoretical and experimental probability

  • 8.2: Representing probabilities: Venn diagrams and sample spaces

  • 8.3: Independent and dependent events and conditional probability

  • 8.4: Probability tree diagrams

  • Representing equivalent quantities: exponentials and logarithms

  • 9.1: Exponents

  • 9.2: Logarithms

  • 9.3: Derivatives of exponential functions and the natural logarithmic function

  • From approximation to generalization: integration

  • 10.1: Antiderivatives and the indefinite integral

  • 10.2: More on indefinite integrals

  • 10.3: Area and definite integrals

  • 10.4: Fundamental theorem of calculus

  • 10.5: Area between two curves

  • Relationships in space: geometry and trigonometry in 2D and 3D

  • 11.1: The geometry of 3D shapes

  • 11.1: Right-angles triangle trigonometry

  • 11.3: The sine rule

  • 11.4: The cosine rule

  • 11.5: Applications of right and non-right angled trigonometry

  • Periodic relationships: trigonometric functions

  • 12.1: Radian measure, arcs, sectors and segments

  • 12.2: Trigonometric ratios in the unit circle

  • 12.3: Trigonometric identities and equations

  • 12.4: Trigonometric functions

  • Modelling change: more calculus

  • 13.1: Derivatives with sine and cosine

  • 13.2: Applications of derivatives

  • 13,3: Integration with sine, cosine and substitution

  • 13.4: Kinematics and accumulating change

  • Valid comparisons and informed decisions: probability distributions

  • 14.1: Random variables

  • 14.2: The binomial distribution

  • 14.3: The normal distribution

  • Exploration

Details
Erscheinungsjahr: 2019
Genre: Importe
Produktart: Schulbücher
Rubrik: Schule & Lernen
Schulfach: Algebra, Geometrie, Mathematik
Medium: Taschenbuch
Inhalt: 725 S.
ISBN-13: 9780198427100
ISBN-10: 0198427107
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: La Rondie, Paul
Stevens, Jill
Awada, Natasha
Chang Wathall, Jennifer
Thompson, Ellen
Buchanan, Laurie
Kemp, Ed
Hersteller: Oxford Children's Books
Verantwortliche Person für die EU: Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de
Abbildungen: Colour
Maße: 258 x 200 x 30 mm
Von/Mit: Paul La Rondie (u. a.)
Erscheinungsdatum: 21.02.2019
Gewicht: 1,517 kg
Artikel-ID: 115671372
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