Oxford IB Diploma Programme IB Mathematics

Paperback

Awada, Natasha , Belcher, Paul , Buchanan, Laurie , Wathall, Jennifer Chang , Duxbury, Phil 저자(글)

Oxford University Press · 2019년 04월 15일

책 소개

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.

작가정보

저자(글) Awada, Natasha

저자(글) Belcher, Paul

저자(글) Buchanan, Laurie

저자(글) Wathall, Jennifer Chang

저자(글) Duxbury, Phil

목차

• From patterns to generalizations: sequences and series1.1: Number patterns and sigma notation1.2: Arithmetic and geometric sequences1.3: Arithmetic and geometric series1.4: Modelling using arithmetic and geometric series1.5: The binomial theorem1.6: ProofsRepresenting relationships: introducing functions2.1: What is a function?2.2: Functional notation2.3: Drawing graphs of functions2.4: The domain and range of a function2.5: Composition of functions2.6: Inverse functionsModelling relationships: linear and quadratic functions3.1: Parameters of a linear function3.2: Linear functions3.3: Transformations of functions3.4: Graphing quadratic functions3.5: Solving quadratic equations by factorization and completing the square3.6: The quadratic formula and the discriminant3.7: Applications of quadraticsEquivalent representations: rational functions4.1: The reciprocal function4.2: Transforming the reciprocal function4.3: Rational functions of the form ax+b/cx+dMeasuring change: differentiation5.1: Limits and convergence5.2: The derivative function5.3: Differentiation rules5.4: Graphical interpretation of first and second derivatives5.5: Application of differential calculus: optimization and kinematicsRepresenting data: statistics for univariate data6.1: Sampling6.2: Presentation of data6.3: Measures of central tendency6.4: Measures of dispersionModelling relationships between two data sets: statistics for bivariate data7.1: Scatter diagrams7.2: Measuring correlation7.3: The line of best fit7.4: Least squares regressionQuantifying randomness: probability8.1: Theoretical and experimental probability8.2: Representing probabilities: Venn diagrams and sample spaces8.3: Independent and dependent events and conditional probability8.4: Probability tree diagramsRepresenting equivalent quantities: exponentials and logarithms9.1: Exponents9.2: Logarithms9.3: Derivatives of exponential functions and the natural logarithmic functionFrom approximation to generalization: integration10.1: Antiderivatives and the indefinite integral10.2: More on indefinite integrals10.3: Area and definite integrals10.4: Fundamental theorem of calculus10.5: Area between two curvesRelationships in space: geometry and trigonometry in 2D and 3D11.1: The geometry of 3D shapes11.1: Right-angles triangle trigonometry11.3: The sine rule11.4: The cosine rule11.5: Applications of right and non-right angled trigonometryPeriodic relationships: trigonometric functions12.1: Radian measure, arcs, sectors and segments12.2: Trigonometric ratios in the unit circle12.3: Trigonometric identities and equations12.4: Trigonometric functionsModelling change: more calculus13.1: Derivatives with sine and cosine13.2: Applications of derivatives13,3: Integration with sine, cosine and substitution13.4: Kinematics and accumulating changeValid comparisons and informed decisions: probability distributions14.1: Random variables14.2: The binomial distribution14.3: The normal distributionExploration

기본정보

ISBN	9780198427100 ( 0198427107 )
발행(출시)일자	2019년 04월 15일
쪽수	672쪽
크기	196 * 254 * 28 mm / 1474 g
총권수	1권
언어	영어