Further Pure

Patrick Cobb, Mar 21, 2015

Table of Contents

  1. FP1
    1. Satellite and Parabola
    2. Matrix Transformations
    3. Matrix Rotations
  2. Complex Numbers
    1. nth roots
    2. |z|=n
    3. |z-z1|=|z-z2|
    4. |z-z1|=k|z-z2|
    5. Arg z = pi/4
    6. Arg(z-z1)/(z-z2)
    7. Joukowsky Transform
  3. Complex Transformations Examples
    1. example 3
    2. x=1, w=24/z
    3. mod z =3, w=24/z
  4. Polar Coordinates
    1. Polar plotter - introducing polar curves
    2. Polar curves - intersections
    3. Polar Tangents V3
    4. Polar Tangents
    5. Polar Integral
    6. (Old) Polar Plotter
  5. Conics
    1. Eccentricity
    2. Normal to an ellipse
    3. Conics Example 2
    4. Ellipse Tangent Loci Starter
  6. Maclaurin Taylor Series
    1. Maclaurin - Taylor
  7. Vectors
    1. P-P
    2. Plane defined by 2 vectors

1.

FP1

Material for Edexcel FP1

  • 1. Satellite and Parabola
  • 2. Matrix Transformations
  • 3. Matrix Rotations

1.1.

Satellite and Parabola
– Patrick Cobb

1.2.

–

1.3.

–

2.

Complex Numbers

  • 1. nth roots
  • 2. |z|=n
  • 3. |z-z1|=|z-z2|
  • 4. |z-z1|=k|z-z2|
  • 5. Arg z = pi/4
  • 6. Arg(z-z1)/(z-z2)
  • 7. Joukowsky Transform

2.1.

nth roots

– Patrick Cobb

2.2.

–

2.3.

–

2.4.

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2.5.

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2.6.

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2.7.

–

3.

Complex Transformations Examples

  • 1. example 3
  • 2. x=1, w=24/z
  • 3. mod z =3, w=24/z

3.1.

example 3

– Patrick Cobb

3.2.

–

3.3.

–

4.

Polar Coordinates

  • 1. Polar plotter - introducing polar curves
  • 2. Polar curves - intersections
  • 3. Polar Tangents V3
  • 4. Polar Tangents
  • 5. Polar Integral
  • 6. (Old) Polar Plotter

4.1.

Polar plotter - introducing polar curves

– Patrick Cobb

4.2.

–

4.3.

–

4.4.

–

4.5.

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4.6.

–

5.

Conics

  • 1. Eccentricity
  • 2. Normal to an ellipse
  • 3. Conics Example 2
  • 4. Ellipse Tangent Loci Starter

5.1.

Eccentricity
– Patrick Cobb

5.2.

–

5.3.

–

5.4.

–

6.

Maclaurin Taylor Series

  • 1. Maclaurin - Taylor

6.1.

Maclaurin - Taylor

– Patrick Cobb

7.

Vectors

  • 1. P-P
  • 2. Plane defined by 2 vectors

7.1.

P-P

– Patrick Cobb

7.2.

–

Information