Oxford IB Diploma Programme IB Mathematics

Paperback

Jane Forrest , Paula Waldman , Jennifer Chang Wathall , Suzanne Doering , David Harris 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: applications and interpretation SL syllabus, for first teaching in September 2019.

작가정보

저자(글) Jane Forrest

저자(글) Paula Waldman

저자(글) Jennifer Chang Wathall

저자(글) Suzanne Doering

저자(글) David Harris

목차

• Measuring space: accuracy and 2D geometry1.1: Measurements and estimates1.2: Recording measurements, significant digits and rounding1.3: Measurements: exact or approximate?1.4: Speaking scientifically1.5: Trigonometry of right-angled triangles and indirect measurements1.6: Angles of elevation and depressionRepresenting space: non-right angled trigonometry and volumes2.1: Trigonometry of non-right triangles2.2: Area of triangle formula. Applications of right and non-right angled trigonometry2.3: Geometry: solids, surface area and volumeRepresenting and describing data: descriptive statistics3.1: Collecting and organising univariate data3.2: Sampling techniques3.3: Presentation of data3.4: Bivariate dataDividing up space: coordinate geometry, lines, Voronoi diagrams4.1: Coordinates, distance and midpoint formula in 2D and 3D4.2: Gradient of lines and its applications4.3: Equations of straight lines; different forms of equations4.4: Parallel and perpendicular lines4.5: Voronoi diagrams and toxic waste problemModelling constant rates of change: linear functions5.1: Functions5.2: Linear Models5.3: Arithmetic Sequences5.4: ModellingModelling relationships: linear correlation of bivariate data6.1: Measuring correlation6.2: The line of best fit6.3: Interpreting the regression lineQuantifying uncertainty: probability, binomial and normal distributions7.1: Theoretical and experimental probability7.2: Representing combined probabilities with diagrams7.3: Representing combined probabilities with diagrams and formulae7.4: Complete, concise and consistent representations7.5: Modelling random behaviour: random variables and probability distributions7.6: Modelling the number of successes in a fixed number of trials7.7: Modelling measurements that are distributed randomlyTesting for validity: Spearman's, hypothesis testing and x^2 test for independence8.1: Spearman's rank correlation coefficient8.2: chi^2 test for independence8.3: chi^2 goodness of fit test8.4: The t-testModelling relationships with functions: power functions9.1: Quadratic models9.2: Problems involving quadratics9.3: Cubic models, power functions and direct and inverse variation9.4: OptimisationModelling rates of change: exponential and logarithmic functions10.1: Geometric sequences and series10.2: Compound interest, annuities, amortization10.3: Exponential models10.4: Exponential equations and logarithmsModelling periodic phenomena: trigonometric functions11.1: An introduction to periodic functions11.2: An infinity of sinusoidal functions11.3: A world of sinusoidal modelsAnalyzing rates of change: differential calculus12.1: Limits and derivatives12.2: Equation of tangent and normal and increasing and decreasing functions12.3: Maximum and minimum points and optimisationApproximating irregular spaces: integration13.1: Finding areas13.2: Integration: the reverse processes of differentiationExploration

기본정보

ISBN	9780198426981 ( 0198426984 )
발행(출시)일자	2019년 04월 15일
쪽수	672쪽
크기	196 * 254 * 23 mm / 1361 g
총권수	1권
언어	영어