FP1 Edexcel Maths Tutorials

It is advisable to check the official FP1 Edexcel specification in case of any changes: specification

Contents

Complex Numbers
Complex Numbers
Numerical Solution of Equations
Solution of Equations by Numerical Methods
Conics
Parabola
Hyperbola(Rectangular)
Matrix Algebra
Matrices
Simultaneous Equations by Matrix Methods
Matrix Linear Transformations
Series
Standard Summations
Proof by Mathematical Induction
Sum of Series
Various Types of proofs

Complex Numbers

Complex Numbers

  1. Real and imaginary numbers
  2. Addition, subtraction and multiplying complex numbers and simplifying powers of i
  3. Complex conjugates
  4. Division of a complex number by a complex number
  5. Argand diagrams
  6. Modulus and argument of a complex number
  7. Solving problems with complex numbers
  8. Square roots of a complex number
  9. Solving quadratic equations with complex roots
  10. Solving cubic equations
  11. Solving quartic equations
  12. Exam Questions - Complex numbers
  13. Exam Questions - Finding roots

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Numerical Solution of Equations

Solution of Equations by Numerical methods

  1. Bisection method for locating a root in a given interval
  2. Exam Questions - Bisection Method
  3. Linear interpolation method for locating a root in a given interval
  4. Exam Questions - Linear Interpolation
  5. Newton-Raphson Method NEW!!
  6. Newton-Raphson method for locating a root in a given interval
  7. Exam Questions - Newton-Raphson

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Conics

Parabola

  1. Coordinate geometry: Parabola directrix, focus, locus and equation
  2. Parabola parametric form
  3. Tangents and normals: Cartesian types
  4. Tangents and normals: parametric types
  5. Exam Questions - Parabola

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Hyperbola (Rectangular)

  1. Cartesian and parametric type
  2. Tangents and normals : Cartesian type
  3. Tangents and normals: parametric type
  4. Exam Questions - Hyperbola (rectangular)

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Matrix Algebra

Matrices

  1. Introduction and dimension of a matrix
  2. Addition and subtraction and multiplying a matrix by a scalar
  3. Matrix multiplication
  4. Identity and Inverse of a 2x2 matrix
  5. Exam Questions - Identity and inverse of a 2x2 matrix

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Simultaneous Equations by Matrix Methods

  1. Solving simultaneous linear equations in 2 unknowns

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Matrix Linear Transformations

  1. Linear transformations - rotations
  2. Linear transformations - reflections
  3. Linear transformations - enlargement
  4. How well do you know your transformations?
  5. Combinations of transformations
  6. Inverse matrices to reverse linear transformations
  7. Determinant as the area scale factor of a transformation
  8. Exam Questions - Matrix transformations

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Series

Standard Summations

  1. Sigma notation
  2. Sum of the first n natural numbers ∑r and the results for ∑a and ∑(ar+b)
  3. Sum of the squares of the first n natural numbers ∑r2
  4. Sum of the cubes of the first n natural numbers ∑r3
  5. Using known formulae to sum more complex series
  6. Exam Questions - Series

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Proof by Mathematical Induction

Sum of Series

  1. Proof of the sum of the series ∑r
  2. Proof of the sum of the series ∑r²
  3. Proof of the sum of the series ∑r³
  4. Proof for other series
  5. Exam Questions - Sum of series

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Various Types of Proofs

  1. Divisibility and multiple test proofs
  2. Exam Questions - Divisibility and multiple tests
  3. Recurrence relationship proofs
  4. Exam Questions - Recurrence relations
  5. Matrix proofs
  6. Exam Questions - Matrix proofs

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