A-Level Maths


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THE WHOLE OF PURE MATHS VIDEO


Algebra and Functions:


· Laws of indices | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Surds | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Manipulating polynomials | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Simultaneous equations | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Solving quadratic equations | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Solving linear and quadratic inequalities graphically | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Simplifying rational expressions by algebraic division | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) | 

· Sketching the graphs of functions to solve equations | Video 1 | Video 2 | Video 3 | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Inverse functions and composite functions and decomposition of rational functions into partial fractions | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |



Coordinate Geometry:


· Equations of straight lines  | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Equation of a circle | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Parametric equations of curves  | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |


Sequences and series:


· Binomial expansion and Pascal’s triangle  | Video | Medium Quiz (AS) | Easy Quiz (AS) |

· Arithmetic progressions | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· Geometric progressions | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |



Trigonometry:


· Trigonometry | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Radians | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· Trigonometric equations | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· Trigonometric identities to solve equations | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |



Exponentials and Logarithms:


· Laws of logarithms | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |



Differentiation:  Part 1 topic video | Part 2 topic video (special examples)


· First and second derivatives  | Video 1 | Video 2 | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· Tangents and normal  | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Minima and maxima | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Differentiate using product rule | Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· Differentiate using the quotient rule| Video | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· Differentiate using the chain rule | Video |



Integration:  Whole topic video 1 | Whole topic video 2


· Integrate standard functions  | Video 1 | Video 2 | Video 3 | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |



Vectors:


· Vector equations | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Vector diagrams | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Vector magnitude & direction | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |



Kinematics:


· Kinematic graphs | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Motion under gravity | Hard Quiz (A-Level only) | Medium Quiz (A-Level only) | Easy Quiz (A-Level only) |

· The formulae for constant acceleration (SUVAT Equations) | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |



Forces and Newton's Law:  Whole topic video


· Newton’s first law | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Newton’s second law | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |

· Newton’s third law | Video | Hard Quiz (AS) | Medium Quiz (AS) | Easy Quiz (AS) |


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