WM160-15 Applied Maths I
Introductory description
This module provides the foundation for the use of statistical and discrete maths concepts to solve a wide variety of problems involving data and networks. Simulation is introduced as a modelling technique with due consideration given to the success of the models used and the limitations of solutions.
Module aims
This module aims to equip students with the mathematical knowledge and skills to analyse, model and solve problems in digital and information systems. Students will apply key concepts in the areas of statistics, probability and discrete maths to deal with problems involving data, sampling techniques, hypothesis testing, graph theory, algorithms on networks, critical path analysis, simulations and queuing theory.
Outline syllabus
This is an indicative module outline only to give an indication of the sort of topics that may be covered. Actual sessions held may differ.
Statistics & Probability:
- Introduction to data
- Representation of data
- Measures of centre and Measures of spread
- Sampling Techniques
- Introduction to probability
- Random variables
- Discrete Probability Distributions
- Hypothesis Testing
Discrete Mathematics:
- Introduction to algorithms and graph theory.
- Algorithms on networks: Kruskal's, Prim's & Dijkstra's Algorithms.
- Critical path analysis
- Simulation & Queuing.
Learning outcomes
By the end of the module, students should be able to:
- Know and use the mathematical language necessary for communicating ideas in digital and information systems.
- Know probability and distributions to present data.
- Use algorithms, graphs and networks to analyze data.
- Apply appropriate mathematical methods to solve substantial statistical and discrete problems.
Indicative reading list
R. J. Barlow, Statistics, A Guide to the Use of Statistical Methods in the Physical Sciences, Wiley (1989), ISBN: 978-0471922957.
C. A. Gorini, Master Math Probability, Course Technology Cengage Learning (2012), ISBN: 1435456564, 9781435456563.
S. S. Epp, Discrete Mathematics with Applications, Cengage Learning (2011), ISBN: 0495391328, 0495826162, 9780495391326, 9780495826163.
R. P. Grimaldi, Discrete and Combinatorial Mathematics, an applied introduction, Addison-Wesley-Longmann (2014), ISBN: 1292022795, 9781292022796.
View reading list on Talis Aspire
Subject specific skills
communicating mathematically
quantitative reasoning
logical thinking
manipulation of precise and intricate ideas
Transferable skills
analytical skills
problem solving
flexibility
persistence
Study time
| Type | Required |
|---|---|
| Lectures | 14 sessions of 1 hour (9%) |
| Seminars | 7 sessions of 1 hour (5%) |
| Online learning (scheduled sessions) | 9 sessions of 1 hour (6%) |
| Online learning (independent) | 8 sessions of 1 hour (5%) |
| Other activity | 2 hours (1%) |
| Private study | 50 hours (33%) |
| Assessment | 60 hours (40%) |
| Total | 150 hours |
Private study description
Inclusive of:
- Pre-block and Post-block problem sets released on Moodle.
- Online Quiz for revision.
- Online forum for discussing queries with course peers and tutor.
- Online tutor-recorded videos.
Recapping of prior learning is expected where necessary. Reading around the topics covered will provide the depth of understanding required to complete the course to a good standard. This may be both prior to and/or after the teaching and learning sessions. Support from teaching staff is available but students will be expected to increasingly develop their independent learning skills.
Other activity description
Support Sessions
Costs
No further costs have been identified for this module.
You must pass all assessment components to pass the module.
Assessment group A
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| Coursework | 40% | 25 hours | Yes (extension) |
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This assessment will be based on the Statistics & Probability topics outlined in the syllabus. |
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| Online Written Exam | 60% | 35 hours | No |
|
This assessment will be based on the Discrete Maths topics outlined in the syllabus. |
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Feedback on assessment
Feedback will be given as appropriate to the assessment type:
- Individual feedback provided for the coursework (Problem set),
- Written cohort-level summative feedback on exam.
Post-requisite modules
If you pass this module, you can take:
- WM260-15 Applied Maths - II
Courses
This module is Core for:
- Year 1 of DWMS-H655 Undergraduate Digital and Technology Solutions (Cyber) (Degree Apprenticeship)
- Year 1 of DWMS-H652 Undergraduate Digital and Technology Solutions (Data Analytics) (Degree Apprenticeship)
- Year 1 of DWMS-H653 Undergraduate Digital and Technology Solutions (Network Engineering) (Degree Apprenticeship)
- Year 1 of DWMS-H654 Undergraduate Digital and Technology Solutions (Software Engineering) (Degree Apprenticeship)