Handbook

This course extends the Linear Algebra and Calculus covered in first year. It is designed to give the student the ability to model familiar physical phenomena using differential equations. In particular the student will understand the difference between linear and nonlinear systems and be able to solve and analyse general linear first-order ordinary differential equations, and ordinary second-order equations characterised by constant coefficients. Applications include changing populations, oscillations of a pendulum, and vibrations of a string.