Differential Equations II

Resources for Differential Equations II - for more information about the course, please see course outlines.

MLC Drop-in centre

Students from Differential Equations II can use the drop-in centre, but we will give priority to first year students. If you see every other table has students, then we would appreciate it if you found another place to sit so that there is room for new students.

Please note that not every staff member in the MLC knows all of the content in DE II, there will be times when we can only give general study advice for this course.

Assumed knowledge

These resources cover content that is assumed before you begin Differential Equations II.

Revision Seminars in order of time

Note: The course Differential Equations II has content that is similar to the course Differential Equations for Engineers II, which replaced the old course Engineering Maths IIA. Some revision seminars for DEs for Engineers and Engineering Maths IIA have also been included below.

Semester 1 2024. David gave a revision seminar for Differential Equatrions II students where he discussed solving systems of ODEs (at the start), and then series solutions to linear ODEs, including Frobenius's method (at 1h1m).

2023

In Semester 1 2023, David gave a revision seminar for Differential Equations II students where he discussed bifurcation points and then PDEs. Unfortunately the video was corrupted so only the first half an hour on bifurcations is able to be watched. However the notes from both parts are available below.

Since the above seminar video was corrupted, David recorded a short worked example on how to hand-draw a bifurcation diagram for an autonomous differential equation with an unknown parameter.

Also in Semester 1 2023, David gave a revision seminar for a different course, Differential Equations for Engineers trying to organise all the methods of solving DEs and PDEs in the course. The list of methods isn't exactly the same in the two courses, but it still might be useful for you. There is also a handout organising the various methods for ODEs in one place.

Also in Semester 1 2023, David gave a seminar for both DEs II and DEs for Engineers simultaneously. David discussed systems of ODEs (at the start), and the Frobenius method (starting at 1h5m).

2022

This revision seminar was given for students of Differential Equations II. David discussed linear differential equations, including linear constant coefficients, the method of undetermined coefficients, the method of reduction of order, and the method of variation of parameters.

2021

This revision seminar was given for students in Differential Equations II in Semester 1 2021. David discussed Fourier series, including those with different periods, and half-range expansion, and also generalised series.

    2020

    This revision seminar was given for students in Differential Equations for Engineers II in Semester 1 2020. David talked briefly about Fourier series and also went through an example of solving a PDE using separation of variables.

    2019

    This is a revision seminar given to students in Differential Equations II in Semester 1 2019. David discussed the Frobenius Method, and solving a heat equation using separation of variables (at 1h2m20s), with a very quick discussion of existence and uniqueness of solutions at the end.

    This revision seminar was given for students from Engineering Mathematics IIA in Semester 1 2019. David discussed the following:

    1. Finding particular solutions to DEs using Undetermined Coefficients and Variation of Parameters
    2. Choosing which statistical test goes with your situation - NOT PART OF Differential Equations II, of course!
    3. Converting from complex fourier coefficients to ordinary ones (starting 1h45m27s)
    4. Power series methods for differential equations (1h58m13s)

    2018

    This revision seminar was given to students Differential Equations II in Semester 1 2018. David covered power series solutions for linear differential equations, including the Frobenius method (20m6s), and also an example of coming up with a system of differential equations (1h20m32s).

    2017

    This revision seminar was given for students Engineering Maths IIA in Semester 1 2017. David covered systems of linear differential equations with matrices at the start. (The end of the seminar is about linear regression, which is not part of DEs II!)

    2016

    This revision seminar was given to students in Engineering Maths IIA in 2016. It covered one big example of solving a PDE using separation of variables, including specific discussion of the Sturm-Louiville Problem.

    This revision seminar was given to students in Engineering Mathematics IIA in 2016. David did several examples of calculating Fourier coefficients both for full-range and half-range expansions. Also David showed how to draw odd and even extensions of functions.

    2015

      This revision seminar was given to students in Engineering Mathematics IIA in 2015. It covers one big example of solving a PDE using separation of variables, with some what-if scenarios at the end to discuss how it might have come out differently.

      This revision seminar was given to students in Engineering Maths IIA in 2015. It covers solving systems of linear ordinary differential equations.

      2014

      This revision seminar was given to students in Engineering Mathematics IIA in 2014. David covered various exam questions about substitution for differential equations (5m34s), power series and the Frobenius method (20m18s), and separation of variables (1h5m5s).

      2013

      This revision seminar was given to students in Engineering Mathematics IIA in 2013. It covered a general summary of the methods and concepts in differential equations, the method of variation of parameters (23m), odd/even extensions of functions for fourier series (58m23s), the method of undetermined coefficients (1h3m55s), and singular points and Frobenius' method (1h22m15s).