Assignments

On this page, assignments will be made available. Attempts should be handed in either on paper, or scanned as a single PDF file via Blackboard.

Bonus points may be awarded for correctly oriented, beautifully clear scans without random fingers, shadows, etc included.

Assignment Four – No due date (nothing to hand in)

Files

Topics assessed include:

  • Q1: Murder (ahem, cooling objects).

  • Q2: Falling objects.

  • Q3: Radioactive decay.

  • Q4,5: Population growth.

  • Q6: Mixing of liquids.

Assignment Three – Monday 16th March, 17:00

Files

Solutions

Topics assessed include:

  • Q1: Second order linear ODEs with constant coefficients.

  • Q2: More second order linear ODEs with constant coefficients.

  • Q3: A third order problem.

  • Q4: A fourth order problem.

Assignment Two – Monday 2nd March, 17:00

Files

Solutions

Topics assessed include:

  • Q1: Method selection for solving first order ODEs (see the First order ODEs section of the website for the flowchart mentioned in the hint).

  • Q2: First order homogeneous ODEs.

  • Q3: Reduction to homogeneous form.

  • Q4: Integrating factor method.

Assignment One – No due date (nothing to hand in)

Files

Solutions

Nothing to hand in for this one – we’ll discuss the questions at the first tutorial.

Topics assessed include:

  • Q1: Exact differential equations (i.e. of the form \(\frac{\mathrm{d}y}{\mathrm{d}x} = f(x))\).

  • Q2: Classification.

  • Q3: Separable variables.