CSM2179 - Mathematics 2 (2023)

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MODULE TITLEMathematics 2 CREDIT VALUE15
MODULE CODECSM2179 MODULE CONVENERProf Hylke J Glass (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 10 0 0
Number of Students Taking Module (anticipated) 25
DESCRIPTION - summary of the module content

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.

 

 

AIMS - intentions of the module

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.

 

INTENDED LEARNING OUTCOMES (ILOs) (see assessment section below for how ILOs will be assessed)

On successful completion of this module, you should be able to:

Module Specific Skills and Knowledge:

  1. 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:

  1. formulate questions in mathematical terms and hence solve problems encountered in engineering-related areas.
  2. take data from a range of sources and undertake simple modeling tasks with external guidance.

Personal and Key Transferable / Employment Skills and Knowledge:

  1. manage learning using resources for the discipline; an ability to develop working relationships of a professional nature within the discipline;
  2. identify key areas of problems and choose appropriate tools/methods for their resolution in a considered manner.
 
SYLLABUS PLAN - summary of the structure and academic content of the module

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

 

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 36.00 Guided Independent Study 114.00 Placement / Study Abroad 0.00
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
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

 

ASSESSMENT
FORMATIVE ASSESSMENT - for feedback and development purposes; does not count towards module grade
Form of Assessment Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
Weekly tutorial sheets 2-3 hours each 1,4,5 Model answers

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 40 Written Exams 60 Practical Exams 0
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method
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

 

DETAILS OF RE-ASSESSMENT (where required by referral or deferral)
Original Form of Assessment Form of Re-assessment ILOs Re-assessed Time Scale for Re-reassessment
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

 

RE-ASSESSMENT NOTES

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.

 

RESOURCES
INDICATIVE LEARNING RESOURCES - The following list is offered as an indication of the type & level of
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
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
PRE-REQUISITE MODULES CSM1027, CSM1033
CO-REQUISITE MODULES
NQF LEVEL (FHEQ) 5 AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Wednesday 11 January 2017 LAST REVISION DATE Tuesday 24 January 2023
KEY WORDS SEARCH Engineering; mathematics.