Unit information: Numerical Analysis in 2022/23

Unit name	Numerical Analysis
Unit code	MATH30029
Credit points	20
Level of study	H/6
Teaching block(s)	Teaching Block 2 (weeks 13 - 24)
Unit director	Professor. Porter
Open unit status	Not open
Units you must take before you take this one (pre-requisite units)	MATH10011 Analysis, MATH10012 ODEs, Curves and Dynamics, and MATH10015 linear Algebra
Units you must take alongside this one (co-requisite units)	None
Units you may not take alongside this one	N/A
School/department	School of Mathematics
Faculty	Faculty of Science

Unit Information

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 course will cover fundamental areas including numerical linear algebra, curve fitting, root finding, numerical differentiation, numerical integration and solving ordinary differential equations. The emphasis will be to explore the theoretical basis for numerical methods devised for solving these problems. Computer programming is not required for this unit.

Your learning on this unit

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

• apply numerical methods for matrix problems
• use polynomial interpolation for curve fitting schemes
• solve nonlinear equations
• numerically differentiate
• evaluate complicated integrals and
• estimate the solutions to ordinary differential equations to any required accuracy.

How you will learn

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

How you will be assessed

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.

Resources

If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATH30029).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.

See the Faculty workload statement relating to this unit for more information.

Assessment
The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates within the Regulations and Code of Practice for Taught Programmes.