Department of Mathematics

Macquarie University

MATH232 Mathematical Techniques 2008 D2

 

Examination.

Tuesday 25th November, time 09:20 am, duration 3 hours (plus reading time).

 

Assignment 5 scripts submitted by Thursday 13th November have been marked.

They may be collected from Ms Christine Hale, E7A 418.

 

Lecturers.

Professor Paul SMITH             E7A 402 (tel. 8944), pdsmith@maths.mq.edu.au

Dr Elena VINOGRADOVA     E7A 403 (tel. 8920), evinogra@maths.mq.edu.au

 

Lecture schedule.

Tuesday           4-6 pm             W6B 315

Thursday          4-6 pm            W5A 101

 

Course guide.

Click here for a copy of the course guide.

 

Course notes.

Click here for a copy of  “Fourier theory” by Dr. B.M.N. Clarke.

 

Graphs and other handouts.

Phase portrait for the Volterra-Lotka system

Time varying solutions of the Volterra-Lotka system

Spring-mass system: overdamped solutions, underdamped solutions

Spring-mass system: resonant solutions, beats

Amplitude of the forced damped spring-mass system as a function of frequency

 

A cobweb graph for the sequence x(k) defined by x(k+1)= x(k ) + r.x(k).(1-x(k)).

 

Convergence of the sequence x(k) defined by x(k+1)=r.x(k).(1-x(k)2):

a fixed point (r=1.1), a period 2 solution (r=2.01), a period 2 solution (r=2.1), a period 4 solution (r=2.55).

 

 

Tutorials.

Tutorials are held:

Tuesday           3 pm               W6B 315

Thursday          3 pm               W5C 220

 

Click on the link for a copy of the tutorial.

Tutorial Week 2, solutions

Tutorial Week 3, solutions

Tutorial Week 4, solutions

Tutorial Week 5, solutions

Tutorial Week 6, solutions

Tutorial Week 7, solutions

Tutorial Week 8, solutions

Tutorial Week 9, solutions

Tutorial Week 10, solutions

Tutorial Week 11, solutions

Tutorial Week 12, solutions

Tutorial Week 13, solutions Correction to 5(b).

 

Assignments.

Click on the link for a copy of the assignment.

Assignment 1, solutions

Assignment 2, solutions

Assignment 3, solutions

Assignment 4, solutions

Assignment 5, solutions Correction to 2(d).

 

Previous Exams.

Click on the link for a copy of previous exams.

2006 - Cover sheet, 2006 exam

2007 - Cover sheet, 2007 exam