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Pure Maths: Calculus 1

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Familiarise students with some of the calculus needed for Pure Maths A Level in this unit. More calculus is covered in a separate unit entitled Calculus 2. The chapters in Calculus 1 cover: differentiation 1 and 2 and integration 1 and 2. Detailed contents: 7 DIFFERENTIATION 1 Gradients and gradient functions Differentiation Rates of change Stationary values Maximum, minimum, points of inflexion Optimisation 9 INTEGRATION 1 Areas and area functions Velocity and distance travelled The trapezium rule Approximating areas Integration: the process Areas and the definite integral Integration: reversing differentiation The indefinite integral 18 DIFFERENTIATION 2 Differentiating functions with negative/rational exponents Differentiating the exponential and logarithmic functions Tangents and normals to graphs Second derivatives Use with stationary points and points of inflexion 19 INTEGRATION 2 Integrating functions with negative/rational exponents Integrating the exponential and logarithmic functions Volumes of revolution * Download all the answers to the Pure Maths Topics once -- all answers are contained in the Pure Maths Answers PDF * Build confidence through hundreds of questions at the right level. * Ensure students are fully prepared for their exams with extensive practice exercises, worked examples and full A-level examination questions. * Promote understanding through consolidation exercises at the end of each topic. * Challenge and broaden your students' minds with new interpretations of traditional topics in Pure Mathematics.

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