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): Alexander Fish

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.


3pm Thursday, Carslaw 712


Date*DescriptionBetter markWeighting
23:59 April 12 Assignment 1 10%
14:00 April 29 Quiz 1 10%
14:00 May 27 Quiz 2 10%
All dates are given in Sydney time.


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


Supplementary Material

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

Making music with Mathematica

Here are some notebooks that students have made making music with Mathematica

The opening to Beethoven's fifth symphony by Yiwen Yang, a student in my 2019 course.

The start to Enigma Variations by Edward Elgar by Damian Lin, a student in this year's course.

Exam consultation and past exams

My exam consultation will be held over Zoom on Thursday 28th of May from 1-4pm. A link will appear on the Canvas site.

Here is the exam from the course in 2018. 2018 Exam

Here is the coversheet for the exam for 2020. Exam coversheet

Online resources

Resources ed
Monday lecture Wednesday lecture Thursday lecture Computer class Tutorials Lecture Notes Assessment
Week 1
Monday Week1 Wednesday Week1 Thursday Week 1 Computer 1 VC Review questions
VC Review solutions
VC Review Notes 1
VC Review Notes 2
Weeks 1 & 2 Notes 1
Weeks 1 & 2 Notes 2
Week 2
Monday Week2 Wednesday Week2 Thursday Week 2 Computer 2 Week2 tutorial questions
Week2 tutorial solutions
Week 3
Monday Week3 Wednesday Week3 Thursday Week 3 Computer 3 Week3 tutorial questions
Week3 tutorial solutions
Weeks 3 & 4 Notes 1
Weeks 3 & 4 Notes 2
Assignment 1 - questions
Week 4
Monday Week4 Wednesday Week4 Thursday Week 4 Computer 4 Week4 tutorial questions
Week4 tutorial solutions
Week 5
Monday Week5 Wednesday Week5 Thursday Week 5 Computer 5 Week5 tutorial questions
Week5 tutorial solutions
Week 5 Notes
Mid-semester break
Week 6
Monday Week6 Wednesday Week6 Thursday Week 6 Computer 6 Week6 tutorial questions
Week6 tutorial solutions
Week 6 Notes Assignment 1 (10%)
Due 23:59 April 12

Quiz 1 - sample quiz
Week 7
Monday Week7 Wednesday Week7 Thursday Week 7 Computer 7 DE Review questions
Week7 tutorial questions
Week7 tutorial solutions
DE Review Notes 1
DE Review Notes 2
Week 7 Notes
Quiz 1 - sample solutions
Week 8
Monday Week8 Wednesday Week8 Thursday Week 8 DE Review solutions
Week8 tutorial questions
Week8 tutorial solutions
Week 8 Notes 1
Week 8 Notes 2
Assignment 1 - solutions
Quiz 1 (10%)
14:00 April 29
Week 9
Monday Week9 Wednesday Week9 Thursday Week 9 Computer 9 Week9 tutorial questions
Week9 tutorial solutions
Week 9 Notes 1
Week 9 Notes 2
Quiz 1 - solutions
Week 10
Monday Week10 Wednesday Week10 Thursday Week 10 Computer 10 Week10 tutorial questions
Week10 tutorial solutions
Week 10 Notes 1
Week 10 Notes 2
Quiz 2 - sample quiz
Week 11
Monday Week11 Wednesday Week11 Thursday Week 11 Computer 11 Week11 tutorial questions
Week11 tutorial solutions
Week 11 Notes 1
Week 11 Notes 2
Week 12
Monday Week12 Wednesday Week12 Thursday Week 12 Computer 12 Week12 tutorial questions
Week12 tutorial solutions
Week 12 Notes 1
Week 12 Notes 2
Quiz 2 (10%)
14:00 May 27
Week 13
Exam Coversheet
Week13 tutorial questions
Week13 tutorial solutions
Week 13 Notes 1
Week 13 Notes 2



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