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CAIE 9709

Topics

These topics cover the training scope of 9709 Pure 3. Open a topic for study guidance and worked examples.

1
AlgebraAlgebra
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Binomial expansion, partial fractions, factors and remainder, parametric conditions.

2
Logarithms and exponentialsLogarithms & Exponentials
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Exponential substitution, logarithmic equations, domain and screening of solutions.

3
Trigonometric functionsTrigonometry
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Identity transformations, trigonometric equations, quadrant and interval solutions.

4
DifferentiationDifferentiation
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Implicit functions, parametric equations, tangents and rates of change.

5
integralIntegration
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Substitution, integration by parts, algebraic manipulation, definite integrals and exact values.

6
Numerical methodsNumerical Methods
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Bracketing a root, iteration, convergence and expressing accuracy.

7
VectorsVectors
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Lines, intersection points, perpendicular distances, angles, and multi-condition geometry.

8
Differential equationsDifferential Equations
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Separation of variables, initial conditions, model interpretation and limits.

9
Complex numbersComplex Numbers
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Modulus and argument, loci, transformations, roots and geometric interpretation.