Applied Mathematics topics covered:
Vectors: basic operations, position vectors, vector equations of lines, and applications in mechanics
Statics: coplanar forces, equilibrium, friction, Hooke’s Law, forces in rigid bodies, moments, and frameworks
Centre of mass: systems of particles, uniform bodies, and simple composite shapes
Kinematics in one dimension: displacement, velocity, acceleration, constant acceleration formulas, and motion under gravity
Dynamics of particles: Newton’s Laws, connected particles (including on inclined planes), work, energy, momentum, and impacts
Motion in a plane: angular motion, circular motion (including conical pendulums and banked tracks), and projectile motion
Learning Outcomes:
Students will be able to represent and solve physical problems using vector methods and apply principles of equilibrium in both particles and rigid bodies. They will analyse linear and angular motion, use Newton’s laws effectively, and understand energy transformations and conservation laws. The course also develops problem-solving skills through real-world contexts like motion, forces, and collisions.
This material is designed in accordance with the official Intermediate Level Applied Mathematics syllabus requirements in Malta. It prepares students for further studies in areas that apply mechanics and mathematical modelling, such as physics, engineering, architecture, aviation, and technical sciences. The problem-solving and analytical skills developed are also relevant to fields like data analysis, robotics, and applied technology.