ZIMSEC A-Level Pure Mathematics
6.5Calculus
In this topic
Lessons
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Derivatives of exponential, logarithmic and trigonometric functions
40 min
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Differentiating powers of x and the chain rule
40 min
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Implicit and parametric differentiation
45 min
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Stationary points, optimisation and curve sketching
50 min
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Tangents, normals, increasing functions and rates of change
45 min
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The gradient of a curve and differentiation from first principles
40 min
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The product and quotient rules
40 min
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Definite integrals and areas
45 min
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Integrating exponential, reciprocal and trigonometric functions
40 min
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Integration as the reverse of differentiation
40 min
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Integration by parts
45 min
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Integration by recognition and by substitution
45 min
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Integration using partial fractions
45 min
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Volumes of revolution
40 min
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First-order differential equations with separable variables
50 min
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Sample question
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