Oxford IB Diploma Programme: Mathematics Standard Level Course Companion

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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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