Mathematics for the IB Diploma: Applications and interpretation SL

Cover
Book title
Copyright
Contents
Introduction
The ‘toolkit’ and the mathematical exploration
Core SL content
	Chapter 1 Core: Exponents and logarithms
		1A Laws of exponents
		1B Operations with numbers in the form a × 10k, where 1 ≦a < 10 and k is an integer
		1C Logarithms
	Chapter 2 Core: Sequences
		2A Arithmetic sequences and series
		2B Geometric sequences and series
		2C Financial applications of geometric sequences and series
	Chapter 3 Core: Functions
		3A Concept of a function
		3B Sketching graphs
	Chapter 4 Core: Coordinate geometry
		4A Equations of straight lines in two dimensions
		4B Three-dimensional coordinate geometry
	Chapter 5 Core: Geometry and trigonometry
		5A Volumes and surface areas of three-dimensional solids
		5B Rules of trigonometry
		5C Applications of trigonometry
	Chapter 6 Core: Statistics
		6A Sampling
		6B Summarizing data
		6C Presenting data
		6D Correlation and regression
	Chapter 7 Core: Probability
		7A Introduction to probability
		7B Probability techniques
	Chapter 8 Core: Probability distributions
		8A Discrete random variables
		8B Binomial distribution
		8C The normal distribution
	Chapter 9 Core: Differentiation
		9A Limits and derivatives
		9B Graphical interpretation of derivatives
		9C Finding an expression for the derivative
		9D Tangents and normals at a given point and their equations
	Chapter 10 Core: Integration
		10A Anti-differentiation
		10B Definite integration and the area under a curve
	Core SL content: Review Exercise
Additional Applications and interpretation SL content
	Chapter 11 Applications and interpretation: Number and finance
		11A Approximation
		11B Further financial mathematics
	Chapter 12 Applications and interpretation: Solving equations with technology
		12A Systems of linear equations
		12B Polynomial equations
	Chapter 13 Applications and interpretation: Mathematical models
		13A Linear models
		13B Quadratic models
		13C Exponential models
		13D Direct and inverse variation and cubic models
		13E Sinusoidal models
		13F Modelling skills
	Chapter 14 Applications and interpretation: Geometry
		14A Arcs and sectors
		14B Voronoi diagrams
	Chapter 15 Applications and interpretation: Hypothesis testing
		15A Chi-squared tests
		15B t-tests
		15C Spearman\'s rank correlation
	Chapter 16 Applications and interpretation: Calculus
		16A Maximum and minimum points
		16B Optimization
		16C Trapezoidal rule
Applications and interpretation SL: Practice Paper 1
Applications and interpretation SL: Practice Paper 2
Answers
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Index
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