155: Applied Maths. 1B

Lecturer:	Mark Muldoon
Office:	MSS/N5
Phone:	ext. 3646
Email:	M.Muldoon@UMIST.ac.uk

Syllabus: Available only within UMIST

Related Texts:

Nonlinear Dynamics and Chaos, S.H. Strogatz, Perseus, (1994).
Ordinary Differential Equations, D.K. Arrowsmith and C.M. Place, Chapman-Hall (1982).
Stability, Instability and Chaos, P. Glendinning, CUP (1994). (Harder)

Several copies of each of these texts should be available in the Joule Library. In addition, I will hand out lecture notes written by Prof. Broomhead, who developed this course: these will be the main course materials.

Advice, Lecture Notes and Problem Sets:

The notes, problems sets and solutions below are in Adobe's Portable Document Format (PDF), so you should read them with Adobe's (free) Acrobat Reader. If this doesn't get launched automatically when you click on a link, please save it to a file and open it with Acrobat Reader.

Notes about the course: Schedule General Advice Assessment About Copying Feedback	Lecture notes: Introduction and Chapter 1: Linear Models (PDF: 374 Kb) Chapter 2: Nonlinear Models in One Dimension (PDF: 782 Kb) Chapter 3, Part I: Models in Two Dimensions (PDF: 748 Kb) Chapter 3, Part II: First integrals, Lyapunov stability & the Hopf bifurcation. (PDF: 1.3 Mb)
Assignments:	Answers:	Old exams: Coursework test 1999 Final exam June, 1999 Coursework test 2000 Final exam June, 2000 Final exam June, 2001 Final exam June, 2002 (with answers!)

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Lectures & Example Classes (Spring 2001)

Weekday	10:00 -> 11:00	3:00 -> 4:00
Monday
Tuesday	155 Lecture Room E8, Main Building	155 Lecture Room C9, Main Building
Wednesday	155 Problems Class Room MSS/B12
Thursday
Friday

General Advice

This course is an introduction to the mathematics of temporal evolution. We will study the qualitative behaviour of ordinary (as opposed to partial) differential equations in one and two dimensions. Much of applied mathematics consists of writing down models and then extracting intuition about their solutions: this course focuses on that process.

Assessment

There are two parts to this:

Weekly problem sheets (20%)
The final exam (80%)

The problem sheets will be due one week after they have been handed out. And, as unexcused late homework is just plain rude, late papers will receive only half-credit. Clarity and brevity are virtues: long-winded or unreadable work will be marked down.

About Copying

You are encouraged to talk with each other and with me about the course and the exercises. However when you come to write up your answers, the work must be strictly your own. Any papers that are too closely similar to each other (my decision) will get zero marks in the first instance and subsequently possible exclusion from the course.

Feedback

Please send your comments and suggestions on this course to M.Muldoon@UMIST.ac.uk.