Oxford IB Diploma Programme: IB Mathematics: applications and interpretation, St
Maths
Price: 4800.00 INR
ISBN:
9780198426981
Publication date:
03/11/2019
Mix MediaCD/DVD
672 pages
255x195mm
Price: 4800.00 INR
ISBN:
9780198426981
Publication date:
03/11/2019
Mix MediaCD/DVD
672 pages
Forrest, Jane; Waldman, Paula
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.
Rights: World Rights
Forrest, Jane; Waldman, Paula
Table of contents
Measuring space: accuracy and 2D geometry; 1.1 Measurements and estimates; 1.2 Recording measurements, significant digits and rounding; 1.3 Measurements: exact or approximate?; 1.4 Speaking scientifically; 1.5 Trigonometry of right-angled triangles and indirect measurements; 1.6 Angles of elevation and depression; Representing space: non-right angled trigonometry and volumes; 2.1 Trigonometry of non-right triangles; 2.2 Area of triangle formula. Applications of right and non-right angled trigonometry; 2.3 Geometry: solids, surface area and volume; Representing and describing data: descriptive statistics; 3.1 Collecting and organising univariate data; 3.2 Sampling techniques; 3.3 Presentation of data; 3.4 Bivariate data; Dividing up space: coordinate geometry, lines, Voronoi diagrams; 4.1 Coordinates, distance and midpoint formula in 2D and 3D; 4.2 Gradient of lines and its applications; 4.3 Equations of straight lines; different forms of equations; 4.4 Parallel and perpendicular lines; 4.5 Voronoi diagrams and toxic waste problem; Modelling constant rates of change: linear functions; 5.1 Functions; 5.2 Linear Models; 5.3 Arithmetic Sequences; 5.4 Modelling; Modelling relationships: linear correlation of bivariate data; 6.1 Measuring correlation; 6.2 The line of best fit; 6.3 Interpreting the regression line; Quantifying uncertainty: probability, binomial and normal distributions; 7.1 Theoretical and experimental probability; 7.2 Representing combined probabilities with diagrams; 7.3 Representing combined probabilities with diagrams and formulae; 7.4 Complete, concise and consistent representations; 7.5 Modelling random behaviour: random variables and probability distributions; 7.6 Modelling the number of successes in a fixed number of trials; 7.7 Modelling measurements that are distributed randomly; Testing for validity: Spearman's, hypothesis testing and x2 test for independence; 8.1 Spearman's rank correlation coefficient; 8.2 chi2 test for independence; 8.3 chi2 goodness of fit test; 8.4 The t-test; Modelling relationships with functions: power functions; 9.1 Quadratic models; 9.2 Problems involving quadratics; 9.3 Cubic models, power functions and direct and inverse variation; 9.4 Optimisation; Modelling rates of change: exponential and logarithmic functions; 10.1 Geometric sequences and series; 10.2 Compound interest, annuities, amortization; 10.3 Exponential models; 10.4 Exponential equations and logarithms; Modelling periodic phenomena: trigonometric functions; 11.1 An introduction to periodic functions; 11.2 An infinity of sinusoidal functions; 11.3 A world of sinusoidal models; Analyzing rates of change: differential calculus; 12.1 Limits and derivatives; 12.2 Equation of tangent and normal and increasing and decreasing functions; 12.3 Maximum and minimum points and optimisation; Approximating irregular spaces: integration; 13.1 Finding areas; 13.2 Integration: the reverse processes of differentiation; Exploration
Forrest, Jane; Waldman, Paula
Table of contents
Measuring space: accuracy and 2D geometry; 1.1 Measurements and estimates; 1.2 Recording measurements, significant digits and rounding; 1.3 Measurements: exact or approximate?; 1.4 Speaking scientifically; 1.5 Trigonometry of right-angled triangles and indirect measurements; 1.6 Angles of elevation and depression; Representing space: non-right angled trigonometry and volumes; 2.1 Trigonometry of non-right triangles; 2.2 Area of triangle formula. Applications of right and non-right angled trigonometry; 2.3 Geometry: solids, surface area and volume; Representing and describing data: descriptive statistics; 3.1 Collecting and organising univariate data; 3.2 Sampling techniques; 3.3 Presentation of data; 3.4 Bivariate data; Dividing up space: coordinate geometry, lines, Voronoi diagrams; 4.1 Coordinates, distance and midpoint formula in 2D and 3D; 4.2 Gradient of lines and its applications; 4.3 Equations of straight lines; different forms of equations; 4.4 Parallel and perpendicular lines; 4.5 Voronoi diagrams and toxic waste problem; Modelling constant rates of change: linear functions; 5.1 Functions; 5.2 Linear Models; 5.3 Arithmetic Sequences; 5.4 Modelling; Modelling relationships: linear correlation of bivariate data; 6.1 Measuring correlation; 6.2 The line of best fit; 6.3 Interpreting the regression line; Quantifying uncertainty: probability, binomial and normal distributions; 7.1 Theoretical and experimental probability; 7.2 Representing combined probabilities with diagrams; 7.3 Representing combined probabilities with diagrams and formulae; 7.4 Complete, concise and consistent representations; 7.5 Modelling random behaviour: random variables and probability distributions; 7.6 Modelling the number of successes in a fixed number of trials; 7.7 Modelling measurements that are distributed randomly; Testing for validity: Spearman's, hypothesis testing and x2 test for independence; 8.1 Spearman's rank correlation coefficient; 8.2 chi2 test for independence; 8.3 chi2 goodness of fit test; 8.4 The t-test; Modelling relationships with functions: power functions; 9.1 Quadratic models; 9.2 Problems involving quadratics; 9.3 Cubic models, power functions and direct and inverse variation; 9.4 Optimisation; Modelling rates of change: exponential and logarithmic functions; 10.1 Geometric sequences and series; 10.2 Compound interest, annuities, amortization; 10.3 Exponential models; 10.4 Exponential equations and logarithms; Modelling periodic phenomena: trigonometric functions; 11.1 An introduction to periodic functions; 11.2 An infinity of sinusoidal functions; 11.3 A world of sinusoidal models; Analyzing rates of change: differential calculus; 12.1 Limits and derivatives; 12.2 Equation of tangent and normal and increasing and decreasing functions; 12.3 Maximum and minimum points and optimisation; Approximating irregular spaces: integration; 13.1 Finding areas; 13.2 Integration: the reverse processes of differentiation; Exploration
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