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Unit information: Numerical Analysis 23 in 2021/22

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 Professor. Porter
Open unit status Not open
Pre-requisites

MATH10011 Analysis, MATH10012 ODEs, Curves and Dynamics, and MATH10015 linear Algebra

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

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 Details

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. MATH30010).

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