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Oxford IB Diploma Programme: IB Mathematics: analysis and approaches
Taschenbuch von Marlene Torres Skoumal (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 HL 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 HL syllabus, for first teaching in September 2019.
Über den Autor
Marlene Torres Skoumal, Rose Harrison, Josip Harcet, Jennifer Wathall, Lorraine Heinrichs
Inhaltsverzeichnis
  • From patterns to generalizations: sequences and series

  • 1.1: Sequences, series and sigma notation

  • 1.2: Arithmetic and geometric sequences and series

  • 1.3: Proof

  • 1.4: Counting principles and the binomial theorem

  • Representing relationships: introducing functions

  • 2.1: Functional relationships

  • 2.2: Special functions and their graphs

  • 2.3: Classification of functions

  • 2.4: Operations with functions

  • 2.5: Function transformations

  • Expanding the number system: complex numbers

  • 3.1: Quadratic equations and inequalities

  • 3.2: Complex numbers

  • 3.3: Polynomial equations and inequalities

  • 3.4: The fundamental theorem of algebra

  • 3.5: Solving equations and inequalities

  • 3.6: Solving systems of linear equations

  • Measuring change: differentiation

  • 4.1: Limits, continuity and convergence

  • 4.2: The derivative of a function

  • 4.3: Differentiation rules

  • 4.4: Graphical interpretation of the derivatives

  • 4.5: Applications of differential calculus

  • 4.6: Implicit differentiation and related rates

  • Analysing data and quantifying randomness: statistics and probability

  • 5.1: Sampling

  • 5.2: Descriptive statistics

  • 5.3: The justification of statistical techniques

  • 5.4: Correlation, causation and linear regression

  • Relationships in space: geometry and trigonometry

  • 6.1: The properties of 3D space

  • 6.2: Angles of measure

  • 6.3: Ratios and identities

  • 6.4: Trigonometric functions

  • 6.5: Trigonometric equations

  • Generalizing relationships: exponents, logarithms and integration

  • 7.1: Integration as antidifferentiation and definite integrals

  • 7.2: Exponents and logarithms

  • 7.3: Derivatives of exponential and logarithmic functions; tangents and normals

  • 7.4: Integration techniques

  • Modelling changes: more calculus

  • 8.1: Areas and volumes

  • 8.2: Kinematics

  • 8.3: Ordinary differential equations (ODEs)

  • 8.4: Limits revisited

  • Modelling 3D space: vectors

  • 9.1: Geometrical representation of vectors

  • 9.2: Introduction to vector algebra

  • 9.3: Scalar product and its properties

  • 9.4: Vector equations of a line

  • 9.5: Vector product and properties

  • 9.6: Vector equation of a plane

  • 9.7: Lines, planes and angles

  • 9.8: Application of vectors

  • Equivalent systems of representation: more complex numbers

  • 10.1: Forms of a complex number

  • 10.2: Operations with complex numbers in polar form

  • 10.3: Powers and roots of complex numbers in polar form

  • Valid comparisons and informed decisions: probability distributions

  • 11.1: Axiomatic probability systems

  • 11.2: Probability distributions

  • 11.3: Continuous random variables

  • 11.4: Binomial distribution

  • 11.5: The normal distribution

  • Exploration

Details
Erscheinungsjahr: 2019
Genre: Importe
Produktart: Schulbücher
Rubrik: Schule & Lernen
Schulfach: Algebra, Geometrie, Mathematik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198427162
ISBN-10: 0198427166
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Torres Skoumal, Marlene
Harrison, Rose
Harcet, Josip
Chang Wathall, Jennifer
Heinrichs, Lorraine
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: 200 x 257 x 36 mm
Von/Mit: Marlene Torres Skoumal (u. a.)
Erscheinungsdatum: 21.03.2019
Gewicht: 1,76 kg
Artikel-ID: 115972398
Über den Autor
Marlene Torres Skoumal, Rose Harrison, Josip Harcet, Jennifer Wathall, Lorraine Heinrichs
Inhaltsverzeichnis
  • From patterns to generalizations: sequences and series

  • 1.1: Sequences, series and sigma notation

  • 1.2: Arithmetic and geometric sequences and series

  • 1.3: Proof

  • 1.4: Counting principles and the binomial theorem

  • Representing relationships: introducing functions

  • 2.1: Functional relationships

  • 2.2: Special functions and their graphs

  • 2.3: Classification of functions

  • 2.4: Operations with functions

  • 2.5: Function transformations

  • Expanding the number system: complex numbers

  • 3.1: Quadratic equations and inequalities

  • 3.2: Complex numbers

  • 3.3: Polynomial equations and inequalities

  • 3.4: The fundamental theorem of algebra

  • 3.5: Solving equations and inequalities

  • 3.6: Solving systems of linear equations

  • Measuring change: differentiation

  • 4.1: Limits, continuity and convergence

  • 4.2: The derivative of a function

  • 4.3: Differentiation rules

  • 4.4: Graphical interpretation of the derivatives

  • 4.5: Applications of differential calculus

  • 4.6: Implicit differentiation and related rates

  • Analysing data and quantifying randomness: statistics and probability

  • 5.1: Sampling

  • 5.2: Descriptive statistics

  • 5.3: The justification of statistical techniques

  • 5.4: Correlation, causation and linear regression

  • Relationships in space: geometry and trigonometry

  • 6.1: The properties of 3D space

  • 6.2: Angles of measure

  • 6.3: Ratios and identities

  • 6.4: Trigonometric functions

  • 6.5: Trigonometric equations

  • Generalizing relationships: exponents, logarithms and integration

  • 7.1: Integration as antidifferentiation and definite integrals

  • 7.2: Exponents and logarithms

  • 7.3: Derivatives of exponential and logarithmic functions; tangents and normals

  • 7.4: Integration techniques

  • Modelling changes: more calculus

  • 8.1: Areas and volumes

  • 8.2: Kinematics

  • 8.3: Ordinary differential equations (ODEs)

  • 8.4: Limits revisited

  • Modelling 3D space: vectors

  • 9.1: Geometrical representation of vectors

  • 9.2: Introduction to vector algebra

  • 9.3: Scalar product and its properties

  • 9.4: Vector equations of a line

  • 9.5: Vector product and properties

  • 9.6: Vector equation of a plane

  • 9.7: Lines, planes and angles

  • 9.8: Application of vectors

  • Equivalent systems of representation: more complex numbers

  • 10.1: Forms of a complex number

  • 10.2: Operations with complex numbers in polar form

  • 10.3: Powers and roots of complex numbers in polar form

  • Valid comparisons and informed decisions: probability distributions

  • 11.1: Axiomatic probability systems

  • 11.2: Probability distributions

  • 11.3: Continuous random variables

  • 11.4: Binomial distribution

  • 11.5: The normal distribution

  • Exploration

Details
Erscheinungsjahr: 2019
Genre: Importe
Produktart: Schulbücher
Rubrik: Schule & Lernen
Schulfach: Algebra, Geometrie, Mathematik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198427162
ISBN-10: 0198427166
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Torres Skoumal, Marlene
Harrison, Rose
Harcet, Josip
Chang Wathall, Jennifer
Heinrichs, Lorraine
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: 200 x 257 x 36 mm
Von/Mit: Marlene Torres Skoumal (u. a.)
Erscheinungsdatum: 21.03.2019
Gewicht: 1,76 kg
Artikel-ID: 115972398
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