Unit information: Numerical Analysis 23 in 2020/21

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 including Unit Aims

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 Information

The unit will be taught through a combination of

• synchronous online and, if subsequently possible, face-to-face lectures
• asynchronous online materials, including narrated presentations and worked examples
• guided asynchronous independent activities such as problem sheets and/or other exercises
• synchronous weekly group problem/example classes, workshops and/or tutorials
• synchronous weekly group tutorials
• synchronous weekly office hours

Assessment Information

90% Timed, open-book examination 10% Coursework

Raw scores on the examinations will be determined according to the marking scheme written on the examination paper. The marking scheme, indicating the maximum score per question, is a guide to the relative weighting of the questions. Raw scores are moderated as described in the Undergraduate Handbook.

If you fail this unit and are required to resit, reassessment is by a written examination in the August/September Resit and Supplementary exam period.

Reading and References

Recommended

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

• 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