First steps for STEM subjects
These resources cover topics that students in STEM courses will find useful.
Number
Video | Written Resources | Exercises | |
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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 | |
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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 | |
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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).