MATH2921 Vector Calculus and Differential Equations (advanced)

General Information

This page contains information on the Intermediate Unit of Study MATH2921 Vector Calculus and Differential Equations (advanced).

This unit is offered in Semester 1.

Lecturer(s): Robert Marangell

For further information on Intermediate Mathematics and Statistics, refer to the Intermediate Handbook. In particular, see the MATH2921 handbook entry for further information relating to MATH2921.

You may also view the description of MATH2921 in the central units of study database.

• Credit point value: 6CP.
• Classes per week: Three lectures, one tutorial and practice class.

Email enquiries about MATH2921 may be sent to MATH2921@sydney.edu.au.

Students: Please give your name and SID when emailing us. Anonymous emails will not be replied to.

Students have the right to appeal any academic decision made by the School or Faculty. For further information, see the Science Faculty web site.

Latex Sample

Once you’ve gotten your favourite LaTeX distribution, you can download the following three files and compile the one called LaTexSample.tex. Note: You will need to cut and paste the LaTeX from the file LaTeXsample.tex into your own LaTeX file. If you use pdfTex, you should get the output to look like the following file

Elementary Differential Equations with Boundary Value Problems. By William F. Trench.

Calculus III. By Jerrold E Marsden and Alan J. Weinstein.

Introduction to Partial Differential Equations. By P. J. Olver. This is a link to the Library’s website where you can access the electronic text of this book. Click on the full text online link.

Matrix ODEs Notes

Here are some notes that I have written to supplement the Matrix ODEs material. These are intended as a supplement to Chapters 9 and 10 in Trench.

Matrix ODEs

Change of variables

Here are some notes detailing the change of variables formula for multiple integrals. They come from the textbook Vector Calculs by Michael Corral. Online. 2008. The full text is also available via the AIM Free textbook initiative. Link to the full text is here. The relevant section is below.

Change of Variables

Resources Monday lecture Tuesday lecture Wednesday lecture Practice class Unit information Canvas Lecture recordings Ed AIM Free Textbook Initiative Marangell 1-1a Marangell 1-2a Marangell 1-3a Practice 1 Marangell 2-1a Marangell 2-2a Marangell 2-3a Practice 2 Tutorial 1 Tutorial 1 solutions Marangell 3-1a Marangell 3-2a Marangell 3-3a Practice 3 Tutorial 2 Tutorial 2 solutions Marangell 4-1a Marangell 4-2a Marangell 4-2b Marangell 4-3a Quiz Tutorial 3 Tutorial 3 solutions Marangell 5-1a Marangell 5-1b Marangell 5-2a Marangell 5-3a Marangell 5-3b Practice 5 Tutorial 4 Tutorial 4 solutions Assignment 1 - questions Marangell 6-1a Marangell 6-2a Marangell 6-3a Practice 6 Tutorial 5 Tutorial 5 solutions Marangell 7-1a Marangell 7-2a ANZAC day Practice 7 Tutorial 6 Tutorial 6 solutions Marangell 8-1a Marangell 8-2a Marangell 8-3a Practice 8 Tutorial 7 Tutorial 7 solutions Assignment 1 Marangell 9-1a Marangell 9-2a Marangell 9-3a Practice 9 Tutorial 8 Tutorial 8 solutions Assignment 1 - solutions Assignment 2 - questions Marangell 10-1a Marangell 10-2a Marangell 10-3a Practice 10 Tutorial 9 Tutorial 9 solutions Marangell 11-1a Marangell 11-2a Marangell 11-3a Practice 11 Tutorial 10 Tutorial 10 solutions Marangell 12-1a Marangell 12-2a Marangell 12-3a Practice 12 Tutorial 11 Tutorial 11 solutions Assignment 2 Marangell 13-1a Marangell 13-2a Marangell 13-3a Practice 13 Tutorial 12 Tutorial 12 solutions Assignment 2 - solutions Tutorial 13 Tutorial 13 solutions