← Further Maths syllabus

Northern IrelandFurther Maths

A2 2 Applied Mathematics

5 dot points across 5 inquiry questions. Click any dot point for a focused answer with worked past exam questions where available.

How do you model circular motion and simple harmonic motion in mechanics?

Circular motion with angular speed, centripetal acceleration and force, motion in a horizontal and vertical circle, and simple harmonic motion with its defining equation, period and energy.
A CCEA A2 Further Maths Mechanics answer on circular motion with angular speed, centripetal acceleration and force, motion in horizontal and vertical circles, and simple harmonic motion with its defining equation, period, velocity and energy.
13 min answer →

How do graph and network algorithms solve route, connection and ordering problems?

Graphs and networks, the minimum spanning tree by Kruskal's and Prim's algorithms, the shortest path by Dijkstra's algorithm, and sorting and route-inspection ideas in decision mathematics.
A CCEA A2 Further Maths Discrete answer on graphs and networks, finding a minimum spanning tree by Kruskal's and Prim's algorithms, the shortest path by Dijkstra's algorithm, and the role of sorting and route-inspection algorithms in decision mathematics.
13 min answer →

How do you handle motion with variable acceleration and the flight of a projectile?

Kinematics with variable acceleration using calculus, motion in two dimensions with vectors, and projectile motion treating the horizontal and vertical components separately.
A CCEA A2 Further Maths Mechanics answer on kinematics with variable acceleration using differentiation and integration, motion in two dimensions with position, velocity and acceleration vectors, and projectile motion analysed by resolving into horizontal and vertical components.
13 min answer →

How do you set up and carry out a hypothesis test, and use continuous and Poisson distributions?

The Poisson distribution as a model, the normal distribution and standardising, the Central Limit Theorem for the distribution of the sample mean, and hypothesis testing including null and alternative hypotheses, significance levels and conclusions.
A CCEA A2 Further Maths Statistics answer on the Poisson distribution, the normal distribution and standardising, the Central Limit Theorem for the sample mean, and the structure of a hypothesis test with null and alternative hypotheses, significance levels and conclusions.
13 min answer →

How do momentum and impulse describe collisions, and what does the coefficient of restitution add?

Linear momentum and impulse, conservation of momentum in collisions, Newton's experimental law with the coefficient of restitution, and kinetic energy lost in impacts.
A CCEA A2 Further Maths Mechanics answer on linear momentum and impulse, conservation of momentum in collisions, Newton's experimental law with the coefficient of restitution, and the kinetic energy lost in an impact.
13 min answer →