Differential Equations for Engineers

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

MLC Drop-In Centre

Students from Differential Equations for Engineers 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 DEs for Engineers II, there will be times when we can only give general study advice for this course.

Assumed knowledge

These are some resources that you can use to help you revise assumed knowledge for Differential Equations for engineers. The various topics in the course are taught assuming you know this information.

Revision Seminars in order of time

Note: The course Differential Equations for Engineers II was created in 2020, taking content from the older courses Engineering Maths IIA and Engineering Maths IIB. Most of these revision seminars were made for the old courses, but should still apply to Differential Equations for Engineers.

2023

This revision seminar was given for Differential Equations for Engineers in Semester 1 2023. David did an overview of (almost) all of the methods of solving DEs and PDEs in the course. 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 Differential Equations for Engineers in Semester 1 2022. David discussed Fourier Series (at the start) and Fourier Transforms (1h11m10s), and a little bit about the dirac delta "function" (1h41m50s).

2021

This revision seminar was given in Semester 1 2021 for Differential Equations for Engineers. David searched through the course notes to find the applications of PDEs in order to make sense of the terminology and the solutions. (He didn't necessarily succeed for all of them, but you can see his thought processes all the same.)

This revision seminar was also given in Semester 1 2021 for students Differential Equations for Engineers II. David discussed transform methods for PDEs including Laplace transforms and Fourier transforms.

    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 revision seminar was given for students from Engineering Mathematics IIB in Semester 2 2019. David discussed convolutions with Laplace transforms, then did an example of solving PDEs with Laplace transforms (starting at 49m5s). (The rest of the seminar is on multivariable calculus, which is not part of DEs for Engineers.)

    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 DEs for Engineers!
    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 in the University of Adelaide course 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 (which is not in the DEs for Eng curriculum) (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 for Engineers!)

    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.

      This revision seminar was given to students of Engineering Mathematics IIB in 2015. It covered Laplace transforms. David talked about the classic transforms, what the transform does to derivatives and integrals, and using it for ordinary differential equations and PDEs.

      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).