Topic outline

  • General

    Collapse all Expand all

  • Final Examination

    This handwritten assessment is available for a period of 2 hours and 30 minutes in total, within which you must submit your solutions. The exam will be open on Monday, 20 January 2025, 10:00am and will be close on Monday, 20 January 2025, 12:30pm. This time frame includes 30 minutes for scanning and submitting your solution. You may log out and in again during that time, but the countdown timer will not stop. If your attempt is still in progress at the end of the set time slot, any file you have uploaded will be automatically submitted.

    The assessment is intended to be completed within 2 hours.

    In completing this assessment:

    • You may use books and notes.

    • You may use calculators and computers, but you must show your working

      for any calculations you do.

    • You may use the Internet as a resource, but not to ask for the solution to

      an exam question or to copy any solution you find.

    • You must not seek or obtain help from anyone else.


  • Early feedback questionnaire

  • Coursework (due on November 1st, 23:59pm)

  • Week 1: Basic concepts of PDE, order, linearity and homogeneity

  • Week 2: Solving first order PDEs using change of coordinates and characteristics

  • Week 3: Classification of second order PDEs and D'Alembert's formula for wave equations on the real line

  • Q-Review

  • Week 4: Energy for wave equations, wave equations on the half line

  • Week 5: Separation of variables and wave equations on the intervals

  • Week 6: Duhamel's principle and inhomogenous wave equations

  • Week 7: Reading week

  • Week 8: Harmonic functions and Laplace equations on symmetric domains

  • Week 9: Properties of harmonic functions and heat equations on the intervals

  • Week 10: Heat equation on the real line and the heat kernel

  • Week 11: Heat equations on the half line and maximum principles

  • Week 12: Review

  • Sample past exam papers

  • Assessment information

    • Assessment patterns: 80% final exam + 20% coursework


  • Q-Review