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Leaving Cert Applied Maths Notes

Free Leaving Cert Applied Maths revision notes for Higher Level. Browse 15 topics and read online without an account.

15 topicsHigher LevelUpdated 27 Sept 2026
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Work through projectiles, connected particles, collisions and circular motion, then move on to differential equations, networks and mathematical modelling.

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Circular MotionCircular motion is the study of a particle moving along a circular path.12 min readFurther Integration (u-substitution, integration by parts)In Leaving Certificate Mathematics, integration mostly involves finding antiderivatives of elementary polynomials.8 min readHooke's LawOn this course, Hooke's Law is one of the standard models you are expected to use alongside Newton's Laws, and it is the main example of a force that varies…9 min readImpacts & CollisionsCollisions and impacts describe the brief, intense interactions that occur when particles strike one another or collide with a fixed barrier such as a…11 min readIntegrationIntegration is the mathematical inverse of differentiation.10 min readNewton's laws & Connected ParticlesNewton's laws tell you how the forces on an object decide its acceleration.15 min readProjectilesThe whole topic rests on one idea: sideways, nothing slows the particle down, so it travels at a steady speed; up and down, gravity acts on it exactly as if…10 min readUniform Accelerated MotionUniform accelerated motion describes a particle moving in a straight line or plane with a constant rate of change of velocity.15 min readVectorsIn this topic you will learn to write any quantity that has a direction as a pair of components along two fixed perpendicular directions, to add, scale, and…9 min readWork, Power, Energy & MomentumWork, power, energy, and linear momentum offer two complementary approaches to solving dynamical problems under Newton's laws.13 min readDifference EquationsA difference equation is a rule that tells you how to get the next value in a sequence from the value or values before it — for example, 'next year's…12 min readDifferential EquationsDifferential equations describe continuous change by relating an unknown function—such as displacement, velocity, temperature, or population—to its derivatives.8 min readMathematical Modelling ProjectThe mathematical modelling project accounts for 20% of Leaving Certificate Applied Mathematics (100 marks out of 500 total), while the terminal written…12 min readNetworks and GraphsStrand 2 of Leaving Certificate Applied Mathematics models real-world connectivity, logistics, and resource management using networks and graphs.13 min readOptimal & Critical PathsTwo different jobs are covered here. The first is finding the best route through a network — the cheapest, shortest or quickest way from one point to another.11 min read

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