# First steps for STEM subjects

These resources cover topics that students in STEM courses will find useful.

## Number

Video | Written Resources | Exercises | |
---|---|---|---|

## Indices |
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Rules of Indices |
HELM workbook | ||

Fractional and Negative Indices | MASH video on Fractional Indices | MathCentre worksheet on negative and fractional powers | |

## Surds |
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Introduction | Webpage | See Written Resources | |

Simplifying Surds | Webpage | See Written Resources | |

Rationalising Denominators | Webpage | See Written Resources | |

## Rational and Irrational Numbers |
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Introduction | Webpage | See Written Resources | |

## Logarithms |
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Definition | MathCentre booklet on logarithms | MathCentre worksheet on logarithms | |

Multiplication, division, power rules | MathCentre worksheet on the laws of logarithms | MathCentre worksheet on the laws of logarithms |

## Algebra

## Coordinate geometry

Video | Written Resources | Exercises | |
---|---|---|---|

## Straight line graphs |
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Parallel and perpendicular lines |
Video | Finding parallel and perpendicular lines | See Written Resource |

## Quadratic Graphs |
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Sketching Quadratics | MASH Video on Sketching Quadratic Graphs | Booklet | |

## Graphical inequalities |
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Linear inequalities | Booklet | ||

Curves and lines | Booklet | ||

## Circle geometry |
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Equations of circles | Booklet | See Written Resource | |

Tangents to circles | |||

## Tangents and normals |
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Equations of tangents and normals to curves | Booklet | See Written Resource |

## Trigonometry

Video | Written Resources | Exercises | |
---|---|---|---|

## Finding sides and angles in triangles |
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Right-angled triangles |
HELM workbook | Corbett maths worksheet | |

Sine and cosine rule | Booklet | See Written Resource | |

## Area of a triangle formula |
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The formula A = 1/2 absinC | Area of a triangle | Finding the area of a triangle using sine | |

## Introduction to trig functions |
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Trigonometric graphs | MASH Video | Booklet | Online Exercise |

sec, cosec and cot | Maths Genie Video | Introduction | |

Trigonometric identities | See Written Resource | ||

## Functions |
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Function Notation | Khan Academy Video | HELM Booklet | See Written Resource |

Composite functions | Khan Academy exercises | ||

Inverse Functions | Inverse Functions | Exercises | |

Domain and Range | Webpage | See Written Resource |

## Calculus

Video | Written Resources | Exercises | |
---|---|---|---|

## Differentiation |
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Definition of a derivative | |||

Differentiating polynomials | |||

Finding Stationary Points (Maxima and Minima) | |||

## Integration |
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Introduction to Integration | Introduction to integral calculus | Booklet | See Written Resource |

Polynomial Integration | Reverse power rule | Booklet | |

Areas Under Curves | Booklet |

## Book a 1:1 appointment or workshop

Would you like to explore a maths or stats topic in greater depth? Why not book a 1:1 with an advisor or a workshop (current students only).