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 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.
Consultation
Assessment
Date^{*}  Description  Better mark  Weighting 

23:59 April 12  Assignment 1  10%  
23:59 April 27  Quiz 1  ✔  10% 
23:59 May 25  Quiz 2  ✔  10% 
References
 J Marsden & A Weinstein, Calculus III. Available for free download
 W F Trench, Elementary Differential Equations with Boundary Value Problems. Available for free download
 P Olver, Introduction to Partial Differential Equations. Available online via the USyd Library
LaTeX sample
Once youâ€™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 fileSupplementary Material
How to Read a Mathematics TextbookHere 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 textbookMaking 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 14pm. 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 1/35/3 
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 8/312/3 
Monday Week2  Wednesday Week2  Thursday Week 2  Computer 2  Week2 tutorial questions Week2 tutorial solutions 
Assignment 1  questions  
Week 3 15/319/3 
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 

Week 4 22/326/3 
Monday Week4  Wednesday Week4  Thursday Week 4  Computer 4  Week4 tutorial questions Week4 tutorial solutions 

Week 5 29/32/4 
Monday Week5  Wednesday Week5  Thursday Week 5  Computer 5  Week5 tutorial questions Good Friday 
Week 5 Notes  
Midsemester break  
Week 6 12/416/4 
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 19/423/4 
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 

Week 8 26/430/4 
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%) 23:59 April 27 

Week 9 3/57/5 
Monday Week9  Wednesday Week9  Thursday Week 9  Computer 9  Week9 tutorial questions Week9 tutorial solutions 
Week 9 Notes 1 Week 9 Notes 2 

Week 10 10/514/5 
Monday Week10  Wednesday Week10  Thursday Week 10  Computer 10  Week10 tutorial questions Week10 tutorial solutions 
Week 10 Notes 1 Week 10 Notes 2 
Quiz 1  solutions Quiz 2  sample quiz 
Week 11 17/521/5 
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 24/528/5 
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%) 23:59 May 25 
Week 13 31/54/6 
Exam Coversheet  Week13 tutorial questions Week13 tutorial solutions 
Week 13 Notes 1 Week 13 Notes 2 