Assignment 3:<\/p>\n\n\n\n
- Matrices and determinants.<\/li>
- Eigenvalues and eigenvectors.<\/li>
- Systems of linear differential equations. (solving simultaneous differential equations).<\/li>
- Functions of several variables. (
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<\/p>).<\/li><\/ul>\n\n\n\nAssignment 4:<\/p>\n\n\n\n
- Mathematical modelling. (Introduction to writing a mathematical modelling paper).<\/li>
- Oscillations and energy. (Forces in a spring system, and potential energy).<\/li>
- Forcing, damping an resonance. (Forces in a system of springs and dampers).<\/li>
- Normal modes. (Oscillations of particles in a spring system).<\/li><\/ul>\n\n\n\n
Assignment 5:<\/p>\n\n\n\n
- Systems of differential equations. (Equilibrium points of two differential equations and use of the Jacobian matrix).<\/li>
- Fourier series. <\/li>
- Partial differential equations.<\/li><\/ul>\n\n\n\n
Assignment 6:<\/p>\n\n\n\n
- Vector calculus. (Scalar fields and gradients).<\/li>
- Further vector calculus. (Conservative vector fields, curl, and divergence).<\/li>
- Multiple integrals. (Area and volume integrals).<\/li><\/ul>\n\n\n\n
Assignment 7:<\/p>\n\n\n\n
- Writing a 3000-word mathematical modelling paper.<\/li><\/ul>\n\n\n\n
All the above are now complete, and I'm currently working through the last few units. Namely:<\/p>\n\n\n\n
- Systems of particles.<\/li>
- Circular motion.<\/li>
- Rotating bodies and angular momentum.<\/li><\/ul>\n\n\n\n
There's a requirement for me to submit one assignment per month, from October to May. These double-credit modules are hectic...<\/p>\n\n\n\n
Out of all of the above, Assignment 7 had to be the most nerve-racking. Most assignments normally read like exam papers, though for Assignment 7 I had to write a report. So not only had I never written a report like this on this course before, I'd never written a report like this ever! Results are due in a couple of weeks, so based on the outcome I'll be keen to break down where I went wrong.<\/p>\n\n\n\n
Favourite bits from the above have to include my first ever hand-calculation of a Fourier series in Assignment 5, and a question where I had to prove a result of Archimedes (287-212 BCE) regarding relative volumes, using modern calculus in Assignment 6. I'd also always wanted to know more about the construction of a Jacobian, so Assignment 5 was good for applying my new knowledge.<\/p>\n","protected":false},"excerpt":{"rendered":"
Study has been so busy this year, I've failed in keeping an up-to-date account of how it's been going. Here's a very quick run-though: Assignment 2: First and second-order differential equations. Vector algebra and statics. (There are two blocks connected with taut string on a ramp and nothing is moving, what are the forces?) Dynamics. … Continue reading A Lack of Updates<\/span>
- Writing a 3000-word mathematical modelling paper.<\/li><\/ul>\n\n\n\n