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MAS225 Computational Mathematics III

Course Organiser Dr Francis J. Wright; click to contact me or report problems with this web site.

This page was last updated on 02 March 2005.

Contents: Lectures; Exercise Classes; Coursework Submission; Text Books

Other main links are listed down the left side of this page.

Synopsis

Value: 1.0 cu
Level: 2
Semester: 4
Timetable: Lectures 23,26,53; Exercise classes 18,25,45
Overlap: None
Prerequisite: MAS102 Calculus II; MAS104 Computational Mathematics II; MAS114 Geometry I (or MAS106 Matrices and Geometry)
Description: This course investigates the use of computer algebra, numerical techniques and computer graphics as tools for developing the understanding and the solution of a number of problems in the mathematical sciences.  Topics will include linear algebra, the solution of algebraic equations, the generation and use of quadrature rules, the numerical solution of differential equations and, time permitting, some other aspects of computational mathematics.  The computer language used for the course is Maple.

Lecture notes, coursework questions and past exam papers are available as Maple worksheets and/or PDF files.

Lectures

Lectures start on Tuesday 11th January 2005.  The timetable is as follows:

Day Time Place
Tuesday 11 am – 12 noon Computer Science 4.46
Tuesday 2 pm – 3 pm Engineering 237
Thursday 11 am – 12 noon Engineering 237

All lecture notes are available on the web as Maple worksheets and/or PDF files; Chapters 5 and 6 are available only as scanned PDF files.  Students are expected to attend every lecture and a register of attendance will be taken in lectures on a random basis.

Exercise Classes

Exercise classes start on Tuesday 18th January 2005.  The timetable is as follows:

Day Time Place
Monday 4 pm – 5 pm Engineering 306
Tuesday 1 pm – 2 pm Queen's W207
Thursday 1 pm – 2 pm Queen's W207

All coursework questions are available on the web as Maple worksheets and/or PDF files; Courseworks 5 and 6 are available only as scanned PDF files and are identical to the courseworks at the ends of Chapters 5 and 6.  The classes on Tuesdays and Thursdays are supervised computing laboratories, whereas I will use the class on Mondays to discuss the coursework solutions.

Coursework Submission

I will collect and return coursework in the Monday exercise classes.  The revised submission deadlines are as follows.

  • Coursework 2: Monday 7th February
  • Coursework 3: Monday 28th February
  • Coursework 4: Monday 14th March
  • Coursework 5: Monday 4th April
  • Coursework 6: Monday 25th April

Text Books

The Maple used in this course is based on Chapters 1–13 of

Computing with Maple by Francis Wright [Chapman & Hall / CRC, 2001] (price about £25)

which is the main recommended text book.  It should be available from the College bookshop and the College Library should have two copies in the Short Loan Collection and two copies on One Week Loan.  If you want to prepare for the course then I suggest you read this book.

The numerical methods used are not based on any single text, but the following are among the books that I am using and may be useful for background:

  • R. L. Burden and J. D. Faires, Numerical Analysis, PWS-Kent, 1989.  [amazon.co.uk]
  • W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing, Cambridge University Press, 1986.  [amazon.co.uk]
  • J. Stoer and R. Bulirsh, Introduction to Numerical Analysis, Springer, 1983.  [amazon.co.uk]

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