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1. Logarithmic Functions and Indices
- Rule of Indices
- Write a number exactly using a surd
- Rationalise the denominator of a surd
- Familiar with the functions a^x and log b x
- Familiar with expressions of the type e^x
- Use graphs of functions to solve equations
- Writing an expression as a logarithm
- Understand and use the laws of logarithms
- Solve equations of the form a^x=b
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2. The Quadratic Function
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3. Identities and Inequalities
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4. Graphs
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5. Series
- Identify an arithmetic sequence
- Find the common difference, first term and nth term of an arithmetic series
- Find the sum of an arithmetic series
- Identify a geometric sequence
- Find the common ratio, first term and nth term of a geometric sequence
- Find the sum of a geometric series
- Find the sum to infinity of a convergent
- Geometric series
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6. The Binomial Series
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7. Scalar and Vector Quantities
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8. Rectangular Cartesian Coordinates
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9. Differentation
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10. Integration
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11. Trigonometry
- Measure angles in radians
- Calculate arc length and the area of a circle using radians
- Basic trigonometrical ratios and sine, cosine and tangent graphs
- Sine and cosine rules
- Use sine and cosine rules to solve problems in 3D
- Use trigonometry identities to solve problems
- Solve trigonometric equations
- Use trigonometric formulae to solve equations
