The Calculus Project

Sam Waterfield, 29/01/2017

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 to focus your explorations: [url]https://tinyurl.com/TheCalculusProjectInstructions[/url]

Índice

  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. Copy of 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. Copy of 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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Informação