421-203 Mathematics for Engineers Unit 2.1A (Advanced)

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Coordinator:

Prerequisite/s:

Timetable:

Contact:

Objectives:

On completion of this course students should have:

• an introductory knowledge of particle and solid body dynamics;

• a good understanding of special differential equations including an understanding of how a differential equation may exhibit various solution branches and how a solution can jump from one branch to another.

Content:

Part 1 Mechanics: Particle mechanics, classical solid body dynamics and multibody dynamics, Lagrange equations of motion.

Part 2 Bifurcations: Review of differential equations, special differential equations including Legendre, Bessel, Mathieu, Hermite and parabolic cylinder, eigenvalues, behaviour at critical points, subcritical and supercritical bifurcations, Hopf bifurcations, applications.

Assessment: