- Complex numbers
- Second order ordinary differential equations.
- Vectors

The course is currently taught by Dr. Matthias Heil. This page provides online access to the lecture notes, example sheets and other handouts and announcements.

Please note that the lecture notes only summarize the main results
and will generally be handed out *
after* the material has been covered in the lecture.

If you have any questions about the lecture, please see me in my office (18.07), contact me by email ( M.Heil@maths.man.ac.uk) or catch me after the lecture.

- Example Sheet I.
- Example Sheet II.
- Illustration
of
*sinh(x)*and*cosh(x)*. - Example Sheet III.
- Complex Numbers Handout.
- Illustration of a purely damped motion.
- Illustration of a damped oscillatory motion.
- Illustration of a critically damped motion without overshoot.
- Illustration of a critically damped motion with overshoot.
- Example Sheet IV.
- Illustration of the amplitude of a harmonic oscillator in response to harmonic forcing.
- Illustration of the phase relationship of a harmonic oscillator in response to harmonic forcing.
- Illustration of the forced and transient components in the response of a harmonic oscillator to harmonic forcing.
- Example Sheet V.
- Handout for 2nd order linear ODEs with constant coefficients.
- Example Sheet VI.
- Illustration of the right hand rules for the vector product and the torque vector.
- How to evaluate the cross product of two vectors.
- Example Sheet VII.
- Illustration of the two ways to represent a plane in space.
- Handout for vectors.
- Example Sheet VIII.