The Calculus Project

Sam Waterfield, Jan 29, 2017

Welcome, student, and thank you for visiting. These GeoGebra applets are designed to run alongside your A-level teaching in Year 1 calculus topics. Your teacher will direct you to the appropriate content outside of class but feel free to explore using your earlier calculus knowledge and geometric intuition. You should find a greater appreciation for the applets contained within as you develop your mathematical methods further. Use the extra questions and instructions found on the school VLE to focus your explorations.

Table of Contents

  1. Phase 1
    1. Estimating gradients of curves
    2. Try to Graph the Derivative Function
    3. Sketching graphs from derivative information
    4. Differentiation: Optimisation - Parabola and Rectangle
    5. Differentiation - Cuboid Optimisation
    6. Differentiation: Cylinder Optimisation Problems
  2. Phase 2
    1. Intro to Integration
    2. Accumulated area function
    3. Area above and below the x axis
    4. Area above and below the x axis - further investigation
    5. Area between functions
    6. Approximate Integration

1.

Phase 1

Applets designed to run alongside Core 2 Differentiation.

  • 1. Estimating gradients of curves
  • 2. Try to Graph the Derivative Function
  • 3. Sketching graphs from derivative information
  • 4. Differentiation: Optimisation - Parabola and Rectangle
  • 5. Differentiation - Cuboid Optimisation
  • 6. Differentiation: Cylinder Optimisation Problems

1.1.

Estimating gradients of curves

– Sam Waterfield

1.2.

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1.3.

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1.4.

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1.5.

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1.6.

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2.

Phase 2

  • 1. Intro to Integration
  • 2. Accumulated area function
  • 3. Area above and below the x axis
  • 4. Area above and below the x axis - further investigation
  • 5. Area between functions
  • 6. Approximate Integration

2.1.

Intro to Integration

– Peter Sassman

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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Information