Mining and Minerals Engineering

CSM1027 - Mathematics 1A (2012)

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MODULE TITLEMathematics 1A CREDIT VALUE15
MODULE CODECSM1027 MODULE CONVENER Ken O'Brien (Coordinator)
DURATION: TERM 1 2 3
DURATION: WEEKS 10
Number of Students Taking Module (anticipated) 111
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, 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

This module aims to; a) consolidate key mathematical principles and methods in the areas of algebra, trigonometry, calculus and basic statistics; and b) introduce essential IT systems and software.

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

 

Module Specific Skills and Knowledge:

1. Use fundamental 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 begin to 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 all essential IT systems to support personal study including a spreadsheet package to support the study and communication of maths.

 

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

Week 1  Fundamental Algebra I: incl. Factorisation, Binomial expansions, Transposition of formulae.
Week 2  The Exponential constant and Natural logarithms; Laws of Indices.
Week 3  Simple functions, associated graphs, plotting; Linear laws
Week 4  Equations and their solution; Inequalities.
Week 5  Basic Area and Trig.; the ratios,degrees. Circles/ Rads.Recip.ratios. Basic trig identities.
                Sine and Cosine Rules. Solution of practical triangle problems.3-D trigonometry.
Week 6  Basic Stats. I: Frequency Distributions,Histograms, Mean, Median, Mode & Standard Deviation.
Week 7  Basic Probability: Binomial distribution; Poisson distribution; Normal distribution.
                    Sampling theory; standard error; Confidence intervals (Intro.) / Statistical hypothesis testing.
Week 8  Introduction to Differentiation; Product and Quotient Rules    
Week 9  Introduction to Integration/ Dimensional analysis.
Week 10  Final topic tutorial and module review.

IT: Intro to student IT systems, Intro to Word, Powerpoint and Excel, Excel exercises

LEARNING AND TEACHING
LEARNING ACTIVITIES AND TEACHING METHODS (given in hours of study time)
Scheduled Learning & Teaching Activities 50.00 Guided Independent Study 100.00 Placement / Study Abroad
DETAILS OF LEARNING ACTIVITIES AND TEACHING METHODS
Category Hours of study time Description
Scheduled Learning & Teaching Activity 20 Lectures
Schedule Learning & Teaching Activity 20 Whole group tutorials
Scheduled Learning & Teaching Activity 10 IT-based practical workshops
Guided independent study 100

Optional foundation maths stream:

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
Initial assessment MCQ exercise 1-2 hours 1 Computer-based
Weekly tutorial sheets 2-3 hours each 1-4 Model answers
       
       
       

 

SUMMATIVE ASSESSMENT (% of credit)
Coursework 50 Written Exams 50 Practical Exams
DETAILS OF SUMMATIVE ASSESSMENT
Form of Assessment % of Credit Size of Assessment (e.g. duration/length) ILOs Assessed Feedback Method

6 MCQ tests (CMA1- CMA6)

15 1-2 hours each 1 Computer-based

3 written courseworks (TMA1 - TMA3)

20 3-5 hours each 1-5 in-script marks, summary comments & tutorial discussion

An Excel spreadsheet coursework

15 6-12 hours 6 Computer-based
Written exam 50 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 assignment Additional assignment All August Ref/Def period
Written examination Examination As above August Ref/Def period
       

 

RE-ASSESSMENT NOTES

As above 1 piece of CW 50% and/or 1 Exam 50%

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:

Croft, A. & Davison, R. 2006. Foundation Maths (4th. Edition). Pearson.

Stroud, K.A. 2007. Engineering Mathematics (6th. Edition). Macmillan.         

 

ELE – College to provide hyperlink to appropriate pages

 

Web based and electronic resources:

 

Croft, A. & Davison, R. Foundation Maths  Website                     

HELM & PPLATO (UoP

 

Other resources:

 

MathCentre www.mathcentre.ac.uk                                               

Reading list for this module:

There are currently no reading list entries found for this module.

CREDIT VALUE 15 ECTS VALUE 7.5
PRE-REQUISITE MODULES None
CO-REQUISITE MODULES None
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