• Collins Advanced Maths Topics - Pure Maths: Calculus 1 [Paid for download edition] - 9780007443895
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Collins Advanced Maths Topics - Pure Maths: Calculus 1 [Paid for download edition]

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Digital-Download
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15/04/2011
A Level/Ages 16 and above
978-0-00-744389-5
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RRP £4.80
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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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