FACULTY OF SCIENCE
SCHOOL OF MATHEMATICS & STATISTICS
MATH3121
MATHEMATICAL METHODS &
PARTIAL DIFFERENTIAL EQUATIONS
SESSION 2, 2007
11 July 2007
MATH3121 Course Outline
Information about the course
C
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
MATH3121MATHEMATICAL METHODS AND PARTIAL
DIFFERENTIAL EQUATIONS
TUTORIAL 1: FOURIERS METHOD AND SIMILARITY SOLUTIONS
SOLUTIONS
1. Question 1
1.1. Problem: Find the solution u(x, t) of the following wa
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
SCHOOL OF MATHEMATICS & STATISTICS
MATH3121
MATHEMATICAL METHODS & PARTIAL
DIFFERENTIAL EQUATIONS
Tutorial Sheet 5
The Method of Characteristics
1. The function u(x, y )
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
MATH3121MATHEMATICAL METHODS AND PARTIAL
DIFFERENTIAL EQUATIONS
TUTORIAL 2: THE STURMLIOUVILLE PROBLEM
SOLUTIONS
The problems in this sheet are concentrated on the SturmLiouville problem of
finding
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
MATH3121MATHEMATICAL METHODS AND PARTIAL
DIFFERENTIAL EQUATIONS
TUTORIAL 5: THE METHOD OF CHARACTERISTICS
SOLUTIONS
1. Question 1 Solution
ux + uy = 0,
x > 0, y > 0
u(x, 0) = sin x,
x>0
u(0, y) = sin
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
SCHOOL OF MATHEMATICS & STATISTICS
MATH3121
MATHEMATICAL METHODS & PARTIAL
DIFFERENTIAL EQUATIONS
Tutorial Sheet 2
The problems in this sheet are centre on the SturmLiouvill
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
MATH3121MATHEMATICAL METHODS AND PARTIAL
DIFFERENTIAL EQUATIONS
TUTORIAL 3: GENERALISED FOURIER SERIES/ APPLICATIONS
TO PDES
SOLUTIONS
1. Question 1
Find the first 3 terms of the Fourier series of the
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
SCHOOL OF MATHEMATICS & STATISTICS
MATH3121
MATHEMATICAL METHODS & PARTIAL
DIFFERENTIAL EQUATIONS
Tutorial Sheet 1
1. Revision Solution of the wave equation by Fouriers Method
A long metal bar is init
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
The University of New South Wales
School of Mathematics and Statistics
Math3121 Mathematical Methods and Partial Dierential Equations
Session 2, 2015
Written Test Version B
Answer all questions. Time
Mathematical Methods and Partial Differential Equations
MATH 3121

Winter 2015
The University of New South Wales
School of Mathematics and Statistics
Math3121 Mathematical Methods and Partial Dierential Equations
Session 2, 2015
Written Test Version A
Answer all questions. Time