Applied Mathematics (Mechanics) – Content Overview
Vectors: position, velocity, acceleration, forces, work and energy
Statics: coplanar forces, friction, moments, equilibrium, frameworks
Centre of mass: systems of particles and composite bodies
Kinematics: motion in one dimension, projectiles, simple harmonic motion
Dynamics: Newton’s laws, connected particles, energy, momentum, impact
Relative velocity and circular motion (including banked tracks and conical pendulums)
Polar coordinates and motion in a resisting medium
Rigid body dynamics: moments of inertia, rotation, compound pendulums
Further systems: work-energy in 2D/3D, damped and forced harmonic motion
Learning Outcomes – Applied Maths:
Students learn to model and solve real-world physical problems using mathematical principles. They develop a deep understanding of forces, motion, energy, and structures, and apply vector and calculus methods to analyse both particle and rigid-body systems. This builds strong analytical and problem-solving skills relevant to physics, engineering, and technical fields.