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, correlation, linear regression, 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.
- Sampling Techniques.
- Measures of centre and Measures of spread.
- Introduction to probability.
- Random variables.
- Discrete Probability Distributions.
- Hypothesis Testing.
- Correlation & Regression.
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:
- Apply a range of statistical measures and techniques to summarise data and solve applied problems.
- Explain basic probability concepts and discrete probability distributions to model data.
- Apply graph theory concepts and implement appropriate algorithms to solve application problems.
- Apply simulation to model and solve queuing 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
Apprentices are expected to gain/improve on communicating technical concepts, carry out mathematical thinking,
quantitative reasoning, logical thinking, and manipulation of precise and intricate ideas.
Apprentices will be equipped with:
Principles of data analysis for digital and technology solutions.
Appropriate data analysis techniques. For example, Text, Statistical, Diagnostic or Predictive Analysis to assess a digital and technology solutions.
Transferable skills
Apprentices are expected to gain/improve on the following:
Analytical skills, problem-solving, flexibility, persistence, strong work ethic and commitment in order to meet the standards required.
Study time
| Type | Required |
|---|---|
| Lectures | 20 sessions of 1 hour (10%) |
| Seminars | 10 sessions of 1 hour (5%) |
| Online learning (independent) | 56 sessions of 1 hour (28%) |
| Other activity | 4 hours (2%) |
| Private study | 50 hours (25%) |
| Assessment | 60 hours (30%) |
| Total | 200 hours |
Private study description
No private study requirements defined for this module.
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 B
| Weighting | Study time | Eligible for self-certification | |
|---|---|---|---|
| Online Written Exam | 100% | 60 hours | No |
|
The examination will be made up of two sections. |
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Feedback on assessment
Cohort-level feedback will be provided.
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)