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Unit information: Numerical Analysis 23 in 2019/20

Please note: Due to alternative arrangements for teaching and assessment in place from 18 March 2020 to mitigate against the restrictions in place due to COVID-19, information shown for 2019/20 may not always be accurate.

Please note: you are viewing unit and programme information for a past academic year. Please see the current academic year for up to date information.

Unit name Numerical Analysis 23
Unit code MATH30010
Credit points 20
Level of study H/6
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Dr. Sieber
Open unit status Not open
Pre-requisites

MATH10003 Analysis 1A and MATH10006 Analysis 1B (or MATH10011 Analysis), MATH11007 Calculus 1 (or MATH10012 ODEs, Curves and Dynamics), and MATH11005 Linear Algebra and Geometry

Co-requisites

None

School/department School of Mathematics
Faculty Faculty of Science

Description

Unit Aims

To introduce students to the basics of numerical analysis; this is broadly the study of numerical methods for solving mathematical problems.

Unit Description

This unit is intended to serve as a first course in numerical analysis. As such the fundamental areas of root finding, numerical differentiation, numerical integration and solving ordinary differential equations will be covered. The emphasis will be to explore numerical techniques for solving these problems theoretically. Computer programming is not required for this unit.

Intended learning outcomes

At the end of this unit, students should be able to

  • solve nonlinear equations
  • numerically differentiate
  • evaluate complicated integrals and
  • estimate the solutions to ordinary differential equations to any required accuracy.

Transferable Skills: Computational techniques; interpretation of computational results; relation of numerical results to mathematical theory.

Teaching details

Lectures; weekly problem classes; theoretical and computational exercises to be done by students.

Assessment Details

The final assessment mark will be entirely based upon a 2 ½-hour examination

Reading and References

Recommended

  • Richard L. Burden and J. Douglas Faires, Numerical Analysis, Brooks/Cole, 2005

Further

  • Brian Bradie, A Friendly Introduction to Numerical Analysis, Pearson, 2006
  • Curtis F. Gerald and Patrick O. Wheatley, Applied Numerical Analysis, Addison-Wesley, 2004
  • Endre Süli and D.F. Mayers, An Introduction to Numerical Analysis, Cambridge University Press, 2003

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