MATH2065 Introduction to Partial Differential Equations (Summer School)

General Information

The unit of study MATH2065 Introduction to Partial Differential Equations will be offered at the Summer School. Further information will be posted here in due course.

Teaching material relating to MATH2065 will be made available from this page while the Summer School is in progress. At other times you may try the regular MATH2065 page.

For the full list of Mathematics and Statistics Units offered in the Summer School see the Mathematics and Statistics Summer School page. Further information about Mathematics and Statistics Units at the University of Sydney see the main Mathematics and Statistics teaching page.

For general information about the Summer School see the Summer School web page.

Summer Online Resources

Lecture Notes

• Revision of ODEs
• Laplace Transforms
• General introduction to PDEs
• Heat equation - separation of variables
• Heat equation continued - satisfying the initial condition
• Laplace's equation
• Fourier Series - Part 1
• Fourier Series - Part 2
• Fourier Transforms

Handouts

• Introduction and Syllabus
• Handout on ODEs
• Table of Laplace transforms
• Handout on Boundary Value Problems and Fourier Formulas
• Table of Fourier transforms
• Brief answers to all tutorial questions

Tutorials

Tutorial questions

Tut 1

Tut 2

Tut 3

Tut 4

Tut 5

Tut 6

Tut 7

Tut 8

Tut 9

Tut 10

Tut 11

Tut 12

Tut 13

Tutorial solutions

Sol 1

Sol 2

Sol 3

Sol 4

Sol 5

Sol 6

Sol 7

Sol 8

Sol 9

Sol 10

Quizzes

• Solutions to Quiz 1

• QUIZ 2 is on Friday 10th of February.
The quiz covers:
• 1) LAPLACE's Equation (Pages 71-80 of Notes) + ALL Tutorial 7.
• 2) FOURIER Series (Pages 81-98 of Notes) + Tutorial 9 Q1 and Q2 ONLY.

Consultations

Unless otherwise notified, the lecturer will be available for consultation on Monday, Wednesday and Friday from noon-1pm in room 707A (7th floor of the Carslaw building). Students experiencing difficulties with the course are strongly advised to make use of this service.

Assignments

The following assignments are to to handed to your tutor in the tutorial on the given day. (More will be added during the course.)

• Assignment 1 for Friday 13th January and solutions
• Assignment 2 for Friday 20th January and solutions
• Assignment 3 for Friday 27th January and solutions
• Assignment 4 for Monday 6th February

Provisional 2012 Summer Timetable

All rooms are in the Carslaw building unless otherwise indicated.

Students meet with the lecturer for the first time at 9 am on Friday 6 January 2012 in Carslaw Lecture Room 275. At that time students will receive their tutorial allocation. The anticipated tutorial streams appear in the timetable below, though the final number of tutorial streams is subject to sufficient overall enrolments, known in December 2011.