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 Three

Topics assessed include:

Assignment Three – 3pm, Friday 20 November

Files

  • Q1: Reflection principle

  • Q2: Inhomogeneous wave equation

  • Q3: Integration problem

  • Q4: Separable variables: wave equation

  • Q5: Separable variables: heat equation

  • Q6: Separable variables: Laplace’s equation

Assignment Two

Topics assessed include:

Assignment Two – 3pm, Friday 6 November

Files

Solutions

  • Q1: Classification of second order PDEs

  • Q2: Causality for the wave equation (domain of dependence, domain of influence)

  • Q3: d’Alembert’s formula (application with specific functions)

  • Q4: Method of characteristics revisited

Assignment One

Assignment One – 3pm, Friday 23 October

Files

Solutions

Topics assessed include:

  • Q1: ODEs recap

  • Q2: Classification of PDEs (linearity, order, homogeneous)

  • Q3: Straightforward PDEs (solvable through integration)

  • Q4: Method of characteristics with constant coefficients.
    This video should be helpful.

  • Q5,6,7: Method of characteristics with variable coefficients.
    This video should be helpful.

  • Q8: Method of characteristics: the general case.
    This video should be helpful.

Assignment Zero

Assignment Zero – not for handing in

Files

  • Practice questions to knock the rust off your ODE solving skills.

  • See the rescue kit for resources to help.

  • Questions on separable first order ODEs, using the integrating factor method to solve first order linear ODEs, and solving second order linear ODEs.