Tutorials & Assignments (Up)
Tutorial 1, SolutionsTutorial 2, Solutions
Tutorial 3, Solutions
Tutorial 4, Solutions
Tutorial 5, Solutions
Assignment 1 (complete), Solutions
Tutorial 6, Tutorial 6A, Tutorial 6B (Q2, correction)
Tutorial 8, Solutions
Tutorial 9, Solutions
Tutorial 10, Solutions
Mock mid-semester exam (In lectures I stated that there would be four questions on the exam. Given the shortness of some of the questions on this exam, I may have to include more questions.) The exam will not cover Bessel functions, or multi-dimensional SL problems.
Final Exam
Final exam 2005Final exam 2006 Formula sheet 2009 Questions about the exam
Sturm Liouville Handouts, Examples and Proofs (mainly from lectures)
Handout, summarySome proofs (most from lectures)
Examples, (most from lectures)
Background material I
Transformation of variables in ordinary differential equations Tutorial 0Background material II
This is a background tutorial on the divergence theorem (not examinable) which is used to prove Green's identities (examinable). Divergence Theorem
Lectures
Lecture notes and copyright materials (Contact lecturer for password).
Visualizations
Graphics and Animations
Waves f(x), g(x)=0Waves f(x)=0, g(x)
Waves f(x), u(0,t)=0, All waves
Waves f(x), u(0,t)=0, Physical waves
Waves f(x), u_x(0,t)=0, All waves
Waves f(x), u_x(0,t)=0, Physical waves
Waves f(x)=0, g(x)=0 and u(0,t)=h(t)
Heat Eqn. u(x,0)=1-x/pi, u_x(0,t)=0, u(pi,t)=0 t=[0,1]
Heat Eqn. u(x,0)=1-x/pi, u_x(0,t)=0, u(pi,t)=0 t=[0,15]
Wave Eqn. u(x,0)=1-r, u(r=1,t)=0
Wave Eqn. u=0 on boundary, First four solutions
Wave Eqn. u(x,0)=0.5e^(-10*r^2), u(r=1,t)=0
Green's Functions
Administrative Information
Lecturer: Dr Tony Roberts, Email: apr@maths.uq.edu.au
Office: Room 67-451, Phone: 3365 3263
Consultation Hours
Tuesday 3-5pm. Appointments may be made be made at other times.