Mining and Minerals Engineering

CSM1033 - Mathematics 1B (2012)

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MODULE TITLEMathematics 1B CREDIT VALUE15
MODULE CODECSM1033 MODULE CONVENER Ken O'Brien (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 10
Number of Students Taking Module (anticipated) 74
DESCRIPTION - summary of the module content

Mathematics is at the heart of all Science and Engineering subjects.  Provided the student has at least a good grade at GCSE maths and they have taken the CSM1027 module in term one, this module takes students of all levels of experience or confidence in maths and brings them up to a level required to use maths as a tool in their other chosen pathways and modules.  As well as providing a clear reinforcement of those areas of maths that will be required, the module has in place a number of levels of support for students who feel they need to address perceived weakness in the subject.

The module is suitable for non-specialist students. The module is recommended for interdisciplinary pathways.

AIMS - intentions of the module

The module aims to extend the work encountered in CSM1027 and covers a range of engineering maths topics. The module includes an introduction to the software package MathCad.

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

Module Specific Skills and Knowledge:

1. Use Level 1 mathematical skills in algebra, trigonometry, calculus and statistics, ensuring that more advanced topics may be studied with confidence in later modules.

Discipline Specific Skills and Knowledge:

2. Formulate in mathematical and statistical terms simple problems encountered in geo-scientific and energy related areas.

3. Take data from a range of sources and undertake simple modeling tasks with external guidance.

Personal and Key Transferable/ Employment Skills and  Knowledge:

4. Apply given tools/methods accurately and appropriately to a well defined problem and further appreciate the complexity of mathematical issues in the degree discipline.

5. Present mathematical work, and communicate conclusions to a wide audience in a clear and logical way.

6. Demonstrate familiarity with the software package MathCad to support the study and communication of mathematics.

 

SYLLABUS PLAN - summary of the structure and academic content of the module

Week 1      Elementary theory of matrices; elementary theory of determinants; solution of equations.

Week 2      Elementary vector theory and applications.

Week 3      Complex numbers.

Week 4      Further differentiation; Applications.

Week 5      Numerical integration; e.g. Simpson’s rule

Week 6      Integration (i) by substitution; (ii) by partial fractions; (iii) by parts / Engineering applications   

Week 7      Statistics & Probability.

Week 8      Linear correlation & regression.

Week 9       Iteration techniques; Newton-Raphson.

Week 10     Final topic tutorial and module review.

 

MathCAD:

Graphs: drawing, finding gradients and areas under curves. Variables and functions; linking together, defining variable ranges.  Entering formulae, changing the subject of a formula. Introduction to assignment problem.

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 40.00 Guided Independent Study 110.00 Placement / Study Abroad
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled learning & teaching activities 20 Lectures
Scheduled learning & teaching activities 10 Whole group tutorials
Scheduled learning & teaching activities 10 IT-based practical workshops
Guided independent study 110 Lecture & assessment preparation; wider reading

An optional foundation stream with:

a) Foundation lectures - 10 hours

b) Small group tutorials - 10 hours

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 worksheets 2-3 hours each 1,4 Weekly model answers
       
       
       
       

 

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

7 MCQ tests (CMA1 - CMA6)

10 1-2 hours each 1 Computer-based

2 written courseworks (TMA1 - TMA3)

15 3-5 hours each 1-5

In-script marks, summary comments & tutorial discussion

A computer-based MathCad in-class test

15 1 hour 6 Summary comments
Examination 60 2 hours 1-4 Tutor meeting
         

 

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
Summative assessment Additional assessment All August Ref/Def period
Examination Additional examination All August Ref/Def period
       

 

RE-ASSESSMENT NOTES

As above 1 piece of CW 40% and/or 1 Exam 60%

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

ELE – College to provide hyperlink to appropriate pages

 

HELM & MathAid(UoP)                                            

 

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 Macmillan 2007 000-0-333-94790-8 [Library]
CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES CSM1027
CO-REQUISITE MODULES
NQF LEVEL (FHEQ) 1 (NQF Level 4) AVAILABLE AS DISTANCE LEARNING No
ORIGIN DATE Monday 12 March 2012 LAST REVISION DATE Wednesday 17 October 2012
KEY WORDS SEARCH Engineering, Mathematics