Undergraduate Study

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.

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Course Info sheet

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


Important Links

Canvas       ed       AIM Free Textbook Initiative


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 Unit information Canvas Lecture recordings Ed AIM Free Textbook Initiative
Monday lecture Tuesday lecture Wednesday lecture Practice class Tutorials Assessment
Week 1
Marangell 1-1a

Marangell 1-2a

Marangell 1-3a

Practice 1
Week 2
Marangell 2-1a

Marangell 2-2a

Marangell 2-3a

Practice 2 Tutorial 1
Tutorial 1 solutions
Week 3
Marangell 3-1a

Marangell 3-2a

Marangell 3-3a

Practice 3 Tutorial 2
Tutorial 2 solutions
Week 4
Marangell 4-1a

Marangell 4-2a
Marangell 4-2b
Marangell 4-3a

Quiz Tutorial 3
Tutorial 3 solutions
Mid-semester break
Week 5
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
Week 6
Marangell 6-1a

Marangell 6-2a

Marangell 6-3a

Practice 6 Tutorial 5
Tutorial 5 solutions
Week 7
Marangell 7-1a

Marangell 7-2a

Practice 7 Tutorial 6
Tutorial 6 solutions
Week 8
Marangell 8-1a

Marangell 8-2a

Marangell 8-3a

Practice 8 Tutorial 7
Tutorial 7 solutions
Assignment 1
Week 9
Marangell 9-1a

Marangell 9-2a

Marangell 9-3a

Practice 9 Tutorial 8
Tutorial 8 solutions
Assignment 1 - solutions
Assignment 2 - questions
Week 10
Marangell 10-1a

Marangell 10-2a

Marangell 10-3a

Practice 10 Tutorial 9
Tutorial 9 solutions
Week 11
Marangell 11-1a

Marangell 11-2a

Marangell 11-3a

Practice 11 Tutorial 10
Tutorial 10 solutions
Week 12
Marangell 12-1a

Marangell 12-2a

Marangell 12-3a

Practice 12 Tutorial 11
Tutorial 11 solutions
Assignment 2
Week 13
Marangell 13-1a

Marangell 13-2a

Marangell 13-3a

Practice 13 Tutorial 12
Tutorial 12 solutions
Assignment 2 - solutions
Week 14
Tutorial 13
Tutorial 13 solutions
Check your marks

MATH2921 students: please check that your marks for Quiz, Assignment 1 and Assignment 2 have been recorded correctly by pressing the "Check marks" button.

Please note that any corrections to Quiz marks must be made by Friday, May 04.
Please note that any corrections to Assignment 1 marks must be made by Friday, May 25.
Please note that any corrections to Assignment 2 marks must be made by Friday, Jun 15.



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