Undergraduate Study

MATH2921 Vector Calculus and Differential Equations (advanced)

General Information

This page contains information on the intermediate unit of study MATH2921Vector 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.

For enrolled students or other authorized people only, here is a link to the Canvas page for MATH2921.

Email enquiries about MATH2921 may be sent to

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.

Course Information

Course Info Sheet

Here is a link to the 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

ed       AIM Free Textbook Initiative       Canvas      


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.

Supplementary Material

Matrix ODEs

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

Beethoven's 5th

Here is the Mathematica file, as well as a wave file that Yiwen Yang put together using Mathematica's Play function to play the opening part of Beethoven's 5th symphony.

The Mathematica notebook         The wave file it outputs

How to Read a Mathematics Textbook

Here are some notes that I have adapted with a friend of mine for some advice on how to read a Maths textbook. Hopefully you will find them somewhat useful.

How to read a mathematics textbook

Review Tutorials

Below is a "Week 1" tutorial for you to work on some problems related to material that is assumed knowledge. Even though there is no tutorial meeting this week, you are encouraged to try the problems.

Vector Calculus Review Tutorial

Differential Equations Review Tutorial

Stuvac Hours and Past Exam

Stuvac Consultation Hours will be held in Carlow 720 during the following dates and times

Wednesday 5, June 3-5pm and Friday 7, June 2-4pm

Here is last year's exam 2018 Exam

Resources Unit information Canvas Lecture recordings Ed AIM Free Textbook Initiative
Monday lecture Wednesday lecture Thursday lecture Computer class Tutorials Assessment
Week 1

Marangell 1-2a

Marangell 1-3a

Computer 1 VC Review Tutorial
Week 2
Marangell 2-1a

Marangell 2-2a

Marangell 2-3a

Computer 2 Tutorial 1
Tutorial 1 solutions
VC Review Tutorial solutions
Assignment - questions
Week 3
Marangell 3-1a

Marangell 3-2a

Marangell 3-3a

Computer 3 Tutorial 2
Tutorial 2 solutions
Week 4
Marangell 4-1a
Marangell 4-1b
Marangell 4-2a

Marangell 4-3a

Computer 4 Tutorial 3
Tutorial 3 solutions
Week 5
Marangell 5-1a

Marangell 5-2a
Marangell 5-2b
Marangell 5-3a
Marangell 5-3b
Computer 5 Tutorial 4
Tutorial 4 solutions
Week 6
Marangell 6-1a

Marangell 6-2a

Computer 6 DE Review Tutorial
Tutorial 5
Tutorial 5 solutions
Week 7

Marangell 7-2a

Marangell 7-3a

Computer 7 Tutorial 6
Tutorial 6 solutions
DE Review Tutorial solutions
Assignment - solutions
Week 8

Marangell 8-2a

Marangell 8-3a

Quiz Tutorial 7
Tutorial 7 solutions
Mid-semester break
Week 9
Marangell 9-1a

Marangell 9-2a

Computer 9 Tutorial 8
Tutorial 8 solutions
Week 10

Marangell 10-2a

Computer 10 Tutorial 9
Tutorial 9 solutions
Week 11

Marangell 11-2a

Marangell 11-3a

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

Marangell 12-2a

Marangell 12-3a

Quiz Tutorial 11
Tutorial 11 solutions
Week 13
Marangell 13-1a

Marangell 13-2a

Computer 13 Tutorial 12
Tutorial 12 solutions
Week 14
Tutorial 13
Tutorial 13 solutions
Check your marks

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

Please note that any corrections to Assignment marks must be made by Friday, June 14.
Please note that any corrections to Quiz 1 marks must be made by Friday, June 14.
Please note that any corrections to Quiz 2 marks must be made by Friday, June 14.



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