Mathematics for second year Mechanical Engineering

This page is under development and will change as the course progresses. Here is the syllabus.

Click on the topics below to view or print files of the course material. The files are in PDF format, and the quality is not as good as Postscript (PS). Solutions to the problem sheets will be available at the classes. If you are unable to access any of the files mail me.

Handouts

• More on linear differential equations with constant coefficients.
• Double Integrals
• Changing Variables in Double Integrals: Jacobians
• Line Integrals
• Conservative forces and Path Independence
• Green's Theorem in the Plane
• Directional Derivatives
• Grad, Div and Curl
• Numerical solution of ODEs. Picard iteration and Euler's method
• Trapezium and Runge-Kutta methods
• Fourier Series
• PDEs: Separation of variables
• Music and the wave equation
• Finite difference methods for the diffusion equation.
• Jacobi and Gauss-Seidel iteration [No longer in syllabus]

Problem sheets

• Problem Sheet 4: ODEs with constant coefficients.
• Problem Sheet 5: Double and Line Integrals.
• Problem Sheet 6: Vector Calculus.
• Problem sheet 7: Numerical solution of ODEs.
• Problem Sheet 8: Fourier Series.
• Problem sheet 9: Separation of Variables.
• Problem sheet 10: Numerical solution of PDEs.

Click here to return to Jonathan Mestel's home page or send e-mail to j.mestel@ic.ac.uk