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Oxford IB Diploma Programme: IB Mathematics: analysis and approaches, Higher Level, Print and Enhanced Online Course Book Pack

Oxford IB Diploma Programme: IB Mathematics: analysis and approaches, Higher Level, Print and Enhanced Online Course Book Pack

Authors
Publisher Oxford University Press
Year 01/03/2019
Edition First
Pages 832
Version mixed media
Readership level Adult education
Language English
ISBN 9780198427162
Categories Mathematics
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Book description

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. Each Enhanced Online Course Book Pack is made up of one full-colour, print textbook and one online textbook - packed full of investigations, exercises, worksheets, worked solutions and answers, plus assessment preparation support.

Oxford IB Diploma Programme: IB Mathematics: analysis and approaches, Higher Level, Print and Enhanced Online Course Book Pack

Table of contents

From patterns to generalizations: sequences and series1.1: Sequences, series and sigma notation 1.2: Arithmetic and geometric sequences and series 1.3: Proof 1.4: Counting principles and the binomial theoremRepresenting relationships: introducing functions2.1: Functional relationships 2.2: Special functions and their graphs 2.3: Classification of functions 2.4: Operations with functions 2.5: Function transformationsExpanding the number system: complex numbers3.1: 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 equationsMeasuring change: differentiation4.1: 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 ratesAnalysing data and quantifying randomness: statistics and probability5.1: Sampling 5.2: Descriptive statistics 5.3: The justification of statistical techniques 5.4: Correlation, causation and linear regressionRelationships in space: geometry and trigonometry6.1: The properties of 3D space 6.2: Angles of measure 6.3: Ratios and identities 6.4: Trigonometric functions 6.5: Trigonometric equationsGeneralizing relationships: exponents, logarithms and integration7.1: 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 techniquesModelling changes: more calculus8.1: Areas and volumes 8.2: Kinematics 8.3: Ordinary differential equations (ODEs) 8.4: Limits revisitedModelling 3D space: vectors9.1: 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 vectorsEquivalent systems of representation: more complex numbers10.1: Forms of a complex number 10.2: Operations with complex numbers in polar form 10.3: Powers and roots of complex numbers in polar formValid comparisons and informed decisions: probability distributions11.1: Axiomatic probability systems 11.2: Probability distributions 11.3: Continuous random variables 11.4: Binomial distribution 11.5: The normal distributionExploration

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