Teaching Responsibility

LJMU Schools involved in Delivery:

Computer Science and Mathematics

Learning Methods

Lecture
Workshop

Module Offerings

4100MATHS-JAN-CTY

Aims

To introduce students to the concept of mathematical and statistical modelling of real-world problems. To give students experience of building mathematical and statistical models.

Learning Outcomes

1.
Apply basic principles of the modelling process to build their own mathematical and statistical models.
2.
Interpret the solution of mathematical and statistical models in a real-world context.
3.
Evaluate the performance of mathematical and statistical models and determine whether they are successful at providing insight into a given problem.
4.
Clearly communicate their ideas to an audience using a variety of media.

Module Content

Outline Syllabus:1. The modelling process: • The modelling cycle • Model refinement 2. Fitting models to data: • Building empirical models • Least squares regression • Consideration of outliers • Forecasting (predictability/unpredictability) • Appropriateness of different models • Coefficient of determination (R2) for comparison of models 3. Continuous and discrete models 4. Mathematical modelling using differential equations: • Derivation using laws of physics • Newton’s law of cooling • Population Dynamics • Modelling the spread of disease 5. Applications of linear algebra • PageRank algorithm • Leslie matrix models
Additional Information:This is an integrative module to give students proficiency and confidence in the use of fundamental mathematical tools. Students will gain confidence and experience in collecting, analysing and interpreting statistical data, and will use software that is taught in 4112MATHS and 4100STATS to help visualise the solution of real problems.

Assessments

Portfolio