Oxford IB Diploma Programme: IB Mathematics: analysis and approaches - Jennifer Chang Wathall

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Auteur(s) : Jennifer Chang Wathall - Josip Harcet - Lorraine Heinrichs - Marlene Torres Skoumal - Rose Harrison

Editeur : Oxford Children's Books

Langue : Anglais

Parution : 01/03/2019

Format : Moyen, de 350g à 1kg

Nombre de pages : 832.0

ISBN : 0198427166

Biographie:
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

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Sommaire:

• 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...