Oxford IB Diploma Programme: Mathematics Standard Level Course Companion
US$ 63.74
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Description
Contents
Reviews
Language
English
ISBN
9780199137831
Front Cover
A note on academic honesty
About the book
Contents
What's on the CD?
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1 Functions
1.1 Introducing functions
1.2 The domain and range of a relationon a Cartesian plane
1.3 Function notation
1.4 Composite functions
1.5 Inverse functions
1.6 Transforming functions
2 Quadratic functions and equations
2.1 Solving quadratic equations
2.2 The quadratic formula
2.3 Roots of quadratic equations
2.4 Graphs of quadratic functions
2.5 applications of quadratics
3 Probability
3.1 Definitions
3.2 Venn diagrams
3.3 Sample space diagrams and the product rule
3.4 Conditional probability
3.5 Probability tree diagrams
4 Exponential and logarithmic functions
4.1 Exponents
4.2 Solving exponential equations
4.3 Exponential functions
4.4 Properties of logarithms
4.5 Logarithmic functions
4.6 Laws of logarithms
4.7 Exponential and logarithmic equations
4.8 Applications of exponential and logarithmic functions
5 Rationalfunctions
5.1 Reciprocals
5.2 The reciprocal function
5.3 Rational functions
6 Patterns, sequences and series
6.1 Patterns and sequences
6.2 Arithmetic sequences
6.3 Geometric sequences
6.4 Sigma (Σ) notation and series
6.5 Arithmetic series
6.6 Geometric series
6.7 Convergent series and sums to infinity
6.8 Applications of geometric and arithmetic patterns
6.9 Pascal’s triangle and the binomial expansion
7 Limits and derivatives
7.1 Limits and convergence
7.2 The tangent line andderivative of xn
7.3 More rules for derivatives
7.4 The chain rule and higher order derivatives
7.5 Rates of change and motion in a line
7.6 The derivative and graphing
7.7 More on extrema and optimization problems
8 Descriptive statistics
8.1 Univariate analysis
8.2 Presenting data
8.3 Measures of central tendency
8.4 Measures of dispersion
8.5 Cumulative frequency
8.6 Variance and standard deviation
9 Integration
9.1 Antiderivatives and the indefinite integral
9.2 More on indefinite integrals
9.3 Area and definite integrals
9.4 Fundamental Theorem of Calculus
9.5 Area between two curves
9.6 Volume of revolution
9.7 Definite integrals with linear motion and other problems
10 Bivariate analysis
10.1 Scatter diagrams
10.2 the line of best fit
10.3 Least squares regression
10.4 Measuring correlation
11 Trigonometry
11.1 Right-angled triangle trigonometry
11.2 Applications of right-angled triangle trigonometry
11.3 Using the coordinate axes in trigonometry
11.4 The sine rule
11.5 The cosine rule
11.6 Area of a triangle
11.7 Radians, arcs and sectors
12 Vectors
12.1 Vectors: basic concepts
12.2 Addition and subtraction of vectors
12.3 Scalar product
12.4 Vector equation of a line
12.5 applications of vectors
13 Circular functions
13.1 Using the unit circle
13.2 Solving equations using the unit circle
13.3 Trigonometric identities
13.4 Graphing circular functions
13.5 Translations and stretches of trigonometric functions
13.6 Combined transformations with sine and cosine functions
13.7 Modeling with sine and cosine functions
14 Calculus with trigonometric functions
14.1 Derivatives of trigonometric functions
14.2 More practice with derivatives
14.3 Integral of sine and cosine
14.4 Revisiting linear motion
15 Probability distributions
15.1 Random variables
15.2 The binomial distribution
15.3 The normal distribution
16 Exploration
16.1 About the exploration
16.2 Internal assessment criteria
16.3 How the exploration is marked
16.4 Academic honesty
16.5 Record keeping
16.6 Choosing a topic
16.7 Getting started
17 Using a graphic display calculator
1 Functions
2 Differential calculus
3 Integral calculus
4 Vectors
5 Statistics and probability
18 Prior learning
1 Number
2 Algebra
3 Geometry
4 statistics
19 Practice paper 1
Practice paper 2
Answers
Subject index
Back Cover
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