Lecture Notes
Printed lecture notes are available for this course. However they include some material that does not form part of the course this year, and they extend to about 100 pages, so you may wish to view them on screen rather than print them out.
Asymptotics II -- Multiple Scales
Old Exam Questions
Coursework Sheets
Sheet 1 -- Calculus of Variations
Sheet 2 -- Asymptotic Solutions -- Matched Asymptotic Expansions
Sheet 3-- Multiple Scales
Sheet 4-- Method of Steepest Descent
Sheet 5-- Orthogonal Functions
Sheet 6-- Integral Transforms
Question Sheets
Question Sheet 1 -- Calculus of Variations
Question Sheet 2 -- Asymptotic Expansions
Question Sheet 3 -- Multiple Scales and Method of Steepest Descent
Question Sheet 4 -- Orthogonal Functions and Integral Transforms
MAPLE Worksheets
To use these worksheets on the university machines, first start MAPLE
by clicking on
Start
in the bottom left corner of the screen,
then selecting
All Programs -- Teaching Applications at UEA -- Maple 7
Then click on the required worksheet below.
Calculus of Variations
Calculation of the brachistochrone as handout or MAPLE Worksheet to download.
Asymptotic Solutions of Algebraic Equations
Comparison of asymptotic solution in notes with exact solutions for cubic equation -- download
Matched Asymptotic Expansions
Handout with all MAPLE examples to download.
Associated MAPLE Worksheets to download
Example 1 Introduction and first example from notes.
Method of Multiple Scales
Example calculations as MAPLE Worksheet to download.
Method of Steepest Descent
Introduction as handout or MAPLE Worksheet to download.
Orthogonal Functions
Handout with all MAPLE examples to download. Associated MAPLE Worksheets to download