CSM2179 - Mathematics 2 (2023)
MODULE TITLE | Mathematics 2 | CREDIT VALUE | 15 |
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MODULE CODE | CSM2179 | MODULE CONVENER | Prof Hylke J Glass (Coordinator) |
DURATION: TERM | 1 | 2 | 3 |
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DURATION: WEEKS | 10 | 0 | 0 |
Number of Students Taking Module (anticipated) | 25 |
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A sound understanding of mathematics underpins all science and engineering activities. . Building on a foundation in mathematics, this module takes students further towards the level required to use mathematics as a tool in field of mining. In part, the module provides a reinforcement of relevant areas of mathematics; in part, the module delves into analytical expressions for sizing geometric shapes, delineation of optimal shapes, application of classic statistical and Bayesian inference, and reliability analysis.
Prerequisite modules: CSM1027, CSM1033 or equivalent.
The module aims to extend the work encountered in prerequisite mathematics courses (CSM1027, CSM1033, or an equivalent Stage 1 (NQF Level 4) mathematics course). The module familiarises students with selected Stage 2 mathematical topics encountered in applied mathematical problems on other modules, assisting them in developing skills for problem solving in engineering-related areas.
On successful completion of this module, you should be able to:
Module Specific Skills and Knowledge:
- understand and apply Stage 2 (NQF Level 5) mathematical techniques in the areas of numerical methods, curve fitting, differential equations, partial differentiation, probability and transform mathematics.
Discipline Specific Skills and Knowledge:
- formulate questions in mathematical terms and hence solve problems encountered in engineering-related areas.
- take data from a range of sources and undertake simple modeling tasks with external guidance.
Personal and Key Transferable / Employment Skills and Knowledge:
- manage learning using resources for the discipline; an ability to develop working relationships of a professional nature within the discipline;
- identify key areas of problems and choose appropriate tools/methods for their resolution in a considered manner.
The syllabus consists of a series of online lectures combined with a series of tutorials.
Lecture series topics include:
- Differentiation - finding derivatives of explicit and implicit functions
- Curve fitting Regression and goodness-of-fit
- Probability distributions
- Bayesian inference
- 1st order differential equations
- 2nd order differential equations
- System reliability analysis
Tutorial series topics include:
- Dimensions of kimberlite pipes
- Generalised open pit volume and surface area
- Calculus of truncated pit shapes
- Optimum ultimate pit design
- Centroid determination
- Underground spiralling tunnels
Scheduled Learning & Teaching Activities | 36.00 | Guided Independent Study | 114.00 | Placement / Study Abroad | 0.00 |
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Category | Hours of study time | Description |
Scheduled learning and teaching activities | 36 | Lectures, tutorials, and IT workshops |
Guided independent study | 114 | Lecture and assessment preparation; private study |
Form of Assessment | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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Weekly tutorial sheets | 2-3 hours each | 1,4,5 | Model answers |
Coursework | 40 | Written Exams | 60 | Practical Exams | 0 |
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Form of Assessment | % of Credit | Size of Assessment (e.g. duration/length) | ILOs Assessed | Feedback Method |
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1 written assignments | 40% | 8 hours | 2,3,4,5 | Written (annotated scripts) and oral feedback |
1 written exam (closed book) | 60% | 2 hours | 1,2,5 | Annotated scripts |
Original Form of Assessment | Form of Re-assessment | ILOs Re-assessed | Time Scale for Re-reassessment |
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1 x coursework 40% | Written assignment | All above | August Ref/Def period |
1 x Exam 60% | Written Exam (2 hours) | 1,2,5 | August Ref/Def period |
If a student is referred or deferred, the failed / non-completed component(s) will be re-assessed at the same weighting as the original assessment.
information that you are expected to consult. Further guidance will be provided by the Module Convener
Basic Reading:
ELE – http://vle.exeter.ac.uk
HELM & MathAid (UoP) - links available on ELE
Web based and electronic resources:
MathCentre: www.mathcentre.ac.uk
Reading list for this module:
Type | Author | Title | Edition | Publisher | Year | ISBN | Search |
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Set | Stroud, K.A | Engineering Mathematics | 6th-7th | Macmillan | 2013 | 9781137031204 | [Library] |
Set | Rees, D.G | Foundation of Statistics | Chapman and Hall | 1987 | 9780412285608 | [Library] | |
Set | Stroud, K A | Advanced Engineering Mathematics | 4th | Macmillan | 2003 | 000-1-403-90312-3 | [Library] |
CREDIT VALUE | 15 | ECTS VALUE | 7.5 |
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PRE-REQUISITE MODULES | CSM1027, CSM1033 |
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CO-REQUISITE MODULES |
NQF LEVEL (FHEQ) | 5 | AVAILABLE AS DISTANCE LEARNING | No |
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ORIGIN DATE | Wednesday 11 January 2017 | LAST REVISION DATE | Tuesday 24 January 2023 |
KEY WORDS SEARCH | Engineering; mathematics. |
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