LC Applied Maths study guide
LC Applied Maths · Work through your exam, one topic at a time.
Leaving Certificate Applied Mathematics is a senior-cycle subject in Ireland for students who want to model real physical situations with mathematics rather than memorise procedures. It suits candidates who are comfortable with algebra, trigonometry and calculus and who enjoy setting up a problem from a written description, choosing the right physical principle, and carrying the solution through to a numerical answer with correct units. The syllabus is built around mechanics and its mathematical tools: kinematics and dynamics of a particle, statics and equilibrium with moments, circular motion, oscillations and gravity, together with calculus and probability and statistics applied in physical contexts. Questions are free-response and usually structured in parts, so a candidate can earn marks progressively even when the final answer is wrong, provided the method is shown clearly. The LC Applied Maths study guide has 5 sections and about 1,648 words.
01Mechanics: kinematics and dynamics of a particle
This domain tests describing motion in one and two dimensions and explaining it with Newton's laws. Questions combine constant-acceleration formulae, projectiles, friction, connected particles and impulse-momentum.
355 words, about 2 min02Mechanics: statics, equilibrium and moments
Statics tests whether you can prove a rigid body is at rest under forces, moments and friction. Typical questions involve ladders, hinged rods, three-force bodies, inclined planes and toppling.
353 words, about 2 min03Mechanics: circular motion, oscillations and gravity
This domain links angular motion, centripetal force, simple harmonic motion and Newtonian gravitation. Questions often move between a conical pendulum, an oscillating mass and a satellite orbit.
317 words, about 2 min04Calculus and its applications
Calculus questions apply differentiation and integration to rates of change, maxima and minima, areas and kinematics with variable acceleration. The emphasis is on setting up the model correctly before differentiating or integrating.
313 words, about 2 min05Probability and statistics
This domain tests counting, probability rules, conditional probability, independence, the binomial distribution and simple descriptive statistics. Questions often combine a counting part with a conditional or binomial part.
310 words, about 2 min