## BI1MA17-Mathematics

Module Provider: School of Biological Sciences
Number of credits: 20 [10 ECTS credits]
Level:4
Terms in which taught: Autumn / Spring term module
Pre-requisites:
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2018/9

Module Convenor: Dr Faustina Hwang

Type of module:

Summary module description:

The aim of this module is to provide students with a foundation of mathematical knowledge and methods fundamental to biomedical engineering.  Topics include algebra, complex numbers, differentiation, integration, statistics, vectors, and matrices.  There are 2 lectures and 2 tutorials per week; the tutorials provide an opportunity to work on practice problems with the support of peers and tutors.  There are tests throughout the year which provide students with regular feedback on how well they have grasped the materials, and a final exam worth 70% of the module.

Aims:
To provide a foundation of mathematical knowledge and methods fundamental to biomedical engineering.

Assessable learning outcomes:

By the end of the module the students will be able to analyse engineering problems using the techniques of series, complex numbers, differentiation, integration, statistics, vectors, and matrix algebra.

Outline content:

Algebra: Revision of basic algebra, trigonometric and other functions, partial fractions, series and sequences.

Complex numbers:  Introduction to complex numbers and their applications in engineering.

Differentiation:  principles, techniques and applications, such as optimisation, linearisation.

Integration: principles and techniques applied to various engineering problems.

Introduction to statistics: measures of central tendency, probability density functions, central limit theorem, confidence intervals, significance testing, correlation, regression, least squares, analysis of variance

Vector and Matrix Algebra:  Matrices and their properties, manipulation and applications, involving determinants, inverses, Gaussian Elimination, eigenvalues and eigenvectors.

Brief description of teaching and learning methods:

2 lectures and 2 compulsory tutorials per week. In the tutorials guidance is provided to help students understand the material.  There are tests throughout the year used to provide feedback to the students.

Contact hours:
 Autumn Spring Summer Lectures 20 20 Tutorials 20 20 Guided independent study 60 60 Total hours by term 100.00 100.00 Total hours for module 200.00

Summative Assessment Methods:
 Method Percentage Written exam 70 Set exercise 30

Summative assessment- Examinations:
One 3-hour examination paper in May/June.

Summative assessment- Coursework and in-class tests:

Formative assessment methods:
Weekly problem sheets and tutorials.

Penalties for late submission:
The Module Convener will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day[1] (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

• The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:
40%

Reassessment arrangements:

Examination only.

One 3-hour examination paper in the University resit period.