1. Number

E1.1 Types of number

E1.2 Sets

E1.3 Powers and roots

E1.4 Fractions, decimals and percentages

E1.5 Ordering

E1.6 The four operations

E1.7 Indices I

E1.8 Standard form

E1.9 Estimation

E1.10 Limits of accuracy

E1.11 Ratio and proportion

E1.12 Rates

E1.13 Percentages

E1.14 Using a calculator

E1.15 Time

E1.16 Money

E1.17 Exponential growth and decay

E1.18 Surds

2. Algebra and graphs

E2.1 Introduction to algebra

E2.2 Algebraic manipulation

E2.3 Algebraic fractions

E2.4 Indices II

E2.5 Equations

E2.6 Inequalities

E2.7 Sequences

E2.8 Proportion

E2.9 Graphs in practical situations

E2.10 Graphs of functions

E2.11 Sketching curves

E2.12 Differentiation

E2.13 Functions

3. Coordinate geometry

E3.1 Coordinates

E3.2 Drawing linear graphs

E3.3 Gradient of linear graphs

E3.4 Length and midpoint

E3.5 Equations of linear graphs

E3.6 Parallel lines

E3.7 Perpendicular lines

4. Geometry

E4.1 Geometrical terms

E4.2 Geometrical constructions

E4.3 Scale drawings

E4.4 Similarity

E4.5 Symmetry

E4.6 Angles

E4.7 Circle theorems I

E4.8 Circle theorems II

5. Mensuration

E5.1 Units of measure

E5.2 Area and perimeter

E5.3 Circles, arcs and sectors

E5.4 Surface area and volume

E5.5 Compound shapes and parts of shapes

6. Topic 6

E6.1 Pythagoras’ theorem

E6.2 Right-angled triangles

E6.3 Exact trigonometric values

E6.4 Trigonometric functions

E6.5 Non-right-angled triangles

E6.6 Pythagoras’ theorem and trigonometry

7. Transformations and vectors

E7.1 Transformations

E7.2 Vectors in two dimensions

E7.3 Magnitude of a vector

E7.4 Vector geometry

8. Probability

E8.1 Introduction to probability

E8.2 Relative and expected frequencies

E8.3 Probability of combined events

E8.4 Conditional probability

9. Statistics

E9.1 Classifying statistical data

E9.2 Interpreting statistical data

E9.3 Averages and measures of spread

E9.4 Statistical charts and diagrams

E9.5 Scatter diagrams

E9.6 Cumulative frequency diagrams

E9.7 Histograms

IGCSE Mathematics Extended/Notes/E2.12 Differentiation

IGCSE Mathematics Extended E2.12 Differentiation Notes

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