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REVISION NOTES

IGCSE Edexcel Mathematics A

3.4 Calculus (Higher Tier Only)

3.4.1 Understand the concept of a variable rate of change (Higher Tier Only)

edexcel_igcse_mathematics a_topic 24_calculus_001_Kinematics.png

3.4.2 Differentiate integer powers of x (Higher Tier Only)

3.4.3 Determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs (Higher Tier Only)

edexcel_igcse_mathematics a_topic 24_calculus_002_Maximum and Minimum Point.png

3.4.4 Distinguish between maxima and minima by considering the general shape of the graph only (Higher Tier Only)

edexcel_igcse_mathematics a_topic 24_calculus_006_Differentiation: Turning Points (Maxima and Minima)

3.4.5 Apply calculus to linear kinematics and to other simple practical problems (Higher Tier Only)

edexcel_igcse_mathematics a_topic 24_calculus_003_Differentiation
edexcel_igcse_mathematics a_topic 24_calculus_004_Differentiation: Gradients(1)
edexcel_igcse_mathematics a_topic 24_calculus_005_Differentiation: Gradients(2)
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1. Numbers & the Number System

1.1 Integers

1.2 Fractions

1.3 Decimals

1.4 Powers and Roots

1.5 Set Language and Notation

1.6 Percentages

1.7 Ratio and Proportion

1.8 Degree of Accuracy

1.9 Standard Form

1.10 Applying Numbers

1.11 Electronic Calculator

2. Equations, Formulae & Identities

2.1 Use of Symbols

2.2 Algebraic Manipulation

2.3 Expressions and Formulae

2.4 Linear Equations

2.5 Proportion (Higher Tier Only)

2.6 Simultaneous Linear Equations

2.7 Quadratic Equations

2.8 Inequalities

3. Sequences, Functions & Graphs

3.1 Sequences

3.2 Function Notation (Higher Tier Only)

3.3 Graphs

3.4 Calculus (Higher Tier Only)

4. Geometry

4.1 Angles, Lines & Triangles

4.2 Polygons

4.3 Symmetry

4.4 Measures

4.5 Construction

4.6 Circle Properties

4.7 Geometric Reasoning

4.8 Trigonometry and Pythagoras’ Theorem

4.9 Mensuration of 2D Shapes

4.10 3D Shapes and Volumes

4.11 Similarity

5. Vectors & Transformation Geometry

5.1 Vectors (Higher Tier Only)

5.2 Transformation Geometry

6. Statistics & Probability

6.1 Graphical Representation of Data

6.2 Statistical Measures

6.3 Probability

7. Appendix

7.1 Appendix 1: Foundation Tier Formula Sheet (Given)

7.2 Appendix 2: Foundation Tier Formula Sheet (To Memorise)

7.3 Appendix 3: Higher Tier Formula Sheet (Given)

7.4 Appendix 4: Higher Tier Formula Sheet (To Memorise)

7.5 Appendix 5: Notation

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