Chapter 1: Sequencies & Series
1.1 Arithmetic sequences
1.2 Geometric sequences
1.3 Series
1.4 Finite arithmetic series
1.5 Finite geometric series
1.6 Infinite series
1.7 Summary
Chapter 2: Functions
2.1 Revision
2.2 Functions and relations
2.3 Inverse functions
2.4 Linear functions
2.5 Quadratic functions
2.6 Exponential functions
2.7 Summary
2.8 Enrichment: more on logarithms
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Chapter 3: Finance
3.1 Calculating the period of an investment
3.2 Annuities
3.3 Future value annuities
3.4 Present value annuities
3.5 Analysing investment and loan options
3.6 Summary
End of chapter exercises
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Chapter 4: Trigonometry
4.1 Revision
4.2 Compound angle identities
4.3 Double angle identities
4.4 Solving equations
4.5 Applications of trigonometric functions
4.6 Summary
End of chapter exercises
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Chapter 5: Polynomials
5.1 Revision
5.2 Cubic polynomials
5.3 Remainder theorem
5.4 Factor theorem
5.5 Solving cubic equations
5.6 Summary
End of chapter exercises
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Chapter 6: Differential calculus
6.1 Limits
6.2 Differentiation from first principles
6.3 Rules for differentiation
6.4 Equation of a tangent to a curve
6.5 Second derivative
6.6 Sketching graphs
6.7 Applications of differential calculus
6.8 Summary
End of chapter exercises
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Chapter 7: Analytical geometry
7.1 Revision
7.2 Equation of a circle
7.3 Equation of a tangent to a circle
7.4 Summary
End of chapter exercises
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Chapter 8: Euclidean geometry
8.1 Revision
8.2 Ratio and proportion
8.3 Polygons
8.4 Triangles
8.5 Similarity
8.6 Pythagorean theorem
8.7 Summary
End of chapter exercises
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Chapter 9: Statistics
9.1 Revision
9.2 Curve fitting
9.3 Correlation
9.4 Summary
End of chapter exercises
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Chapter 10: Probability
10.1 Revision
10.2 Identities
10.3 Tools and Techniques
10.4 The fundamental counting principle
10.5 Factorial notation
10.6 Application to counting problems
10.7 Application to probability problems
10.8 Summary
End of chapter exercises
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