IB Mathematics: analysis and approaches Standard Level ebook
US$ 94.49
The publisher has enabled DRM protection, which means that you need to use the BookFusion iOS, Android or Web app to read this eBook. This eBook cannot be used outside of the BookFusion platform.
Description
Contents
Reviews
Language
English
ISBN
9780198427155
Contents
Introduction
How to use your enhanced online course book
1 From patterns to generalizations: sequences and series
1.1 Number patterns and sigma notation
1.2 Arithmetic and geometric sequences
1.3 Arithmetic and geometric series
1.4 Applications of arithmetic and geometric patterns
1.5 The binomial theorem
1.6 Proofs
Chapter review
Modelling and investigation activity
2 Representing relationships: introducing functions
2.1 What is a function?
2.2 Functional notation
2.3 Drawing graphs of functions
2.4 The domain and range of a function
2.5 Composite functions
2.6 Inverse functions
Chapter review
Modelling and investigation activity
3 Modelling relationships: linear and quadratic functions
3.1 Gradient of a linear function
3.2 Linear functions
3.3 Transformations of functions
3.4 Graphing quadratic functions
3.5 Solving quadratic equations by factorization and completing the square
3.6 The quadratic formula and the discriminant
3.7 Applications of quadratics
Chapter review
Modelling and investigation activity
4 Equivalent representations: rational functions
4.1 The reciprocal function
4.2 Transforming the reciprocal function
4.3 Rational functions of the form f(x) = ax + b/cx + d
Chapter review
Modelling and investigation activity
5 Measuring change: differentiation
5.1 Limits and convergence
5.2 The derivative function
5.3 Differentiation rules
5.4 Graphical interpretation of first and second derivatives
5.5 Application of differential calculus: optimization and kinematics
Chapter review
Modelling and investigation activity
6 Representing data: statistics for univariate data
6.1 Sampling
6.2 Presentation of data
6.3 Measures of central tendency
6.4 Measures of dispersion
Chapter review
Modelling and investigation activity
7 Modelling relationships between two data sets: statistics for bivariate data
7.1 Scatter diagrams
7.2 Measuring correlation
7.3 The line of best fit
7.4 Least squares regression
Chapter review
Modelling and investigation activity
8 Quantifying randomness: probability
8.1 Theoretical and experimental probability
8.2 Representing probabilities: Venn diagrams and sample spaces
8.3 Independent and dependent events and conditional probability
8.4 Probability tree diagrams
Chapter review
Modelling and investigation activity
9 Representing equivalent quantities: exponentials and logarithms
9.1 Exponents
9.2 Logarithms
9.3 Derivatives of exponential functions and the natural logarithmic function
Chapter review
Modelling and investigation activity
10 From approximation to generalization: integration
10.1 Antiderivatives and the indefinite integral
10.2 More on indefinite integrals
10.3 Area and definite integrals
10.4 Fundamental theorem of calculus
10.5 Area between two curves
Chapter review
Modelling and investigation activity
11 Relationships in space: geometry and trigonometry in 2D and 3D
11.1 The geometry of 3D shapes
11.2 Right-angled triangle trigonometry
11.3 The sine rule
11.4 The cosine rule
11.5 Applications of right and non-right-angled trigonometry
Chapter review
Modelling and investigation activity
12 Periodic relationships: trigonometric functions
12.1 Radian measure, arcs, sectors and segments
12.2 Trigonometric ratios in the unit circle
12.3 Trigonometric identities and equations
12.4 Trigonometric functions
Chapter review
Modelling and investigation activity
13 Modelling change: more calculus
13.1 Derivatives with sine and cosine
13.2 Applications of derivatives
13.3 Integration with sine, cosine and substitution
13.4 Kinematics and accumulating change
Chapter review
Modelling and investigation activity
14 Valid comparisons and informed decisions: probability distributions
14.1 Random variables
14.2 The binomial distribution
14.3 The normal distribution
Chapter review
Modelling and investigation activity
15 Exploration
Practice exam paper 1
Practice exam paper 2
Answers
Index
The book hasn't received reviews yet.
