# First steps for STEM subjects

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

On

## 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 | Video | Webpage | See Written Resources |

Simplifying Surds | Video | Webpage | See Written Resources |

Rationalising Denominators | Video | Webpage | See Written Resources |

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

## Logarithms |
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Definition | Video | MathCentre booklet on logarithms | See Written Resources |

Multiplication, division, power rules | Video | MathCentre worksheet on the laws of logarithms | See Written Resources |

## 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 | Video | Booklet | |

Curves and lines | Video | 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 | Video | ||

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

Composite functions | Video | Khan Academy exercises | |

Inverse Functions | Video | Inverse Functions | Exercises |

Domain and Range | Video | 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) | Video | ||

## 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 |

## Mechanics

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

Displacement, Velocity, Time Graphs | Worksheet | ||

Constant Acceleration Equations (SUVAT) | Worksheet | Exercise | |

Resolving forces - Horizontal Problems | Worksheet | See written resource | |

Resolving forces - Inclined Planes | See written resource | Webpage | See written resource |

Connected Particles | See written resource | See written resource | |

Moments | Video | Introduction to moments | Exercise |

Projectiles | See written resource | Webpage | Exercise |

Momentum | |||

Work & Energy | Webpage | See written resource | |

Centres of Mass | Video | HELM Booklet | See written resource |

## 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).