Title:  Maths for Technology 
Long Title:  Mensuration, Algebra, Trigonometry for Technology 
Field of Study: 
Mathematics

Valid From: 
Semester 1  2013/14 ( September 2013 ) 
Module Coordinator: 
David Goulding 
Module Author: 
AINE NI SHE 
Module Description: 
This module provides the learner with the knowledge, skills and competence to solve practical mathematical problems encountered in science and technology. 
Learning Outcomes 
On successful completion of this module the learner will be able to: 
LO1 
Perform all manner of arithmetical calculations relevant to technology. 
LO2 
Manipulate a wide variety of algebraic expressions and equations, transpose formulae, and employ function notation effectively. 
LO3 
Sketch and analyse linear and quadratic graphs. 
LO4 
Use trigonometry and mensuration to solve practical problems in science and technology. 
LO5 
Apply the methods of descriptive statistics to organise, summarise, present and analyse data. 
Prerequisite learning 
Module Recommendations
This is prior learning (or a practical skill) that is strongly recommended before enrolment in this module. You may enrol in this module if you have not acquired the recommended learning but you will have considerable difficulty in passing (i.e. achieving the learning outcomes of) the module. While the prior learning is expressed as named CIT module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s). 
Not applicable 
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module. You may not earn additional credit for the same learning and therefore you may not enrol in this module if you have successfully completed any modules in the incompatible list. 
Not applicable 
Corequisite Modules

No Corequisite modules listed 
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed. You may not enrol on this module if you have not acquired the learning specified in this section.

Not applicable 
Corequisites

No Co Requisites listed 
Module Content & Assessment
Indicative Content 
The Fundamentals of Mathematics
Manipulating numbers. The arithmetic of fractions. Decimal notation and calculations. Instruction on how to use a calculator. Ratio and proportion. Percentages. Approximation, error estimation, absolute, relative and relative percentage error. Laws of indices with simple applications. Evaluation of powers, roots and reciprocals using the calculator.

Units and Conversions
The SI system of units, prefixes, usage.

Algebra
Formulation and solution of linear, quadratic and linear simultaneous equations. Simple indicial equations. Transposition and evaluation of formulae.

Linear Graphs
Plot a linear function. The general equation of a straight line. Deduce the equation of a straight line graph. Describe linear trend. Plot quadratic functions. Describe graphical trends. Graphical solution of quadratic equations.

Mensuration
Practical problems on area and volume. Simpson's rule.

Trigonometry
Pythagoras Theorem. Trigonometric ratios, ratio of sides, sine and cosine rules.

Descriptive Statistics
Collect, sort and represent statistical data graphically (stemleaf plots, pie charts, bar charts, histograms). Measures of central tendency – mean, median, mode. Measures of dispersion – range and standard deviation.

Assessment Breakdown  % 
Course Work  40.00% 
End of Module Formal Examination  60.00% 
Course Work 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Short Answer Questions 
In Class Test  Fundamentals of Mathematics, Units and Conversions, Algebra 
1,2 
20.0 
Week 5 
Short Answer Questions 
In Class Test  Linear Graphs, Mensuration, Trigonometry 
3,4 
20.0 
Week 9 
End of Module Formal Examination 
Assessment Type 
Assessment Description 
Outcome addressed 
% of total 
Assessment Date 
Formal Exam 
EndofSemester Final Examination 
1,2,3,4,5 
60.0 
EndofSemester 
Reassessment Requirement 
Repeat examination
Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.

The institute reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time 
Workload Type 
Workload Description 
Hours 
Frequency 
Average Weekly Learner Workload 
Lecture 
Lecture 
3.0 
Every Week 
3.00 
Independent & Directed Learning (Noncontact) 
Review of lecture material, completion of homework sheets, preparation for tutorial 
3.0 
Every Week 
3.00 
Tutorial 
Active problem solving, completion of tutorial sheets 
1.0 
Every Week 
1.00 
Total Hours 
7.00 
Total Weekly Learner Workload 
7.00 
Total Weekly Contact Hours 
4.00 
Workload: Part Time 
Workload Type 
Workload Description 
Hours 
Frequency 
Average Weekly Learner Workload 
Lecture 
Lecture 
2.5 
Every Week 
2.50 
Lecturer Supervised Learning (Noncontact) 
Preparation for tutorial (tutorial and homework sheets) 
1.0 
Every Second Week 
0.50 
Independent & Directed Learning (Noncontact) 
Review of lecture material, completion of homework sheets, preparation for tutorial 
3.5 
Every Week 
3.50 
Tutorial 
Active problem solving, completion of tutorial sheets 
1.0 
Every Second Week 
0.50 
Total Hours 
8.00 
Total Weekly Learner Workload 
7.00 
Total Weekly Contact Hours 
3.00 
Module Resources
Recommended Book Resources 

 J. O. Bird, A. J. C. May 1994, Technician mathematics 3, Longman Scientific & Technical Harlow [ISBN: 9780582234246]
 J. O. Bird, A. J. C. May 1982, Technician mathematics [ISBN: 9780582412569]
 John Bird BSc (Hons) CEng CMath CSci FIET MIEE FIIE FIMA FCollT, 2010, Basic Engineering Mathematics, Fifth Edition, 5th Ed., Newnes [ISBN: 1856176975]
 K.A. Stroud, with D.J. Booth 2009, Foundation Mathematics, Palgrave Macmillan [ISBN: 0230579078]
 Supplementary Book Resources 

 John Bird 2010, Engineering Mathematics [ebook], 5th Ed., Newnes Amsterdam [ISBN: 9780750685559]
 Washington, Allyn 2009, Basic technical mathematics with calculus, 9th Ed., Pearson Prentice Hall [ISBN: 9780138150204 0138150206]
 John Bird 2007, Engineering Mathematics, Fifth Edition, 5th Ed., Newnes Oxford [ISBN: 9780750685559]
 K.A. Stroud 2009, Essential Mathematics for Science and Technology: A SelfLearning Guide, 1st Ed., Industrial Press [ISBN: 0831133910]
 This module does not have any article/paper resources 

Other Resources 

 Website: MathCentre
 Website: http://www.mathtutor.ac.uk/MathTutor
 Website: CITCIT Maths Online  accessible via CIT
Blackboard

Module Delivered in
