Short Title:Technical Mathematics 1
Full Title:Technical Mathematics 1
Module Code:MATH H1074
Credits: 5
NFQ Level:6
Field of Study:Mechanics and metal work
Module Delivered in 2 programme(s)
Module Author:Ciaran O Sullivan
Module Description:The first aim of Technical Mathematics 1 is a thorough revision and consolidation of key numeracy and algebra skills, including the effective use of a calculator. The second aim of Technical Mathematics 1 is to support other engineering modules in year 1 by covering unit conversion, manipulation of engineering formulae, linear laws, the study of right angled triangles and complex numbers. The third aim of the module is to introduce students to the use of software applications in the presentation and manipulation of engineering data.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Calculate numerical expressions accurately involving fractions and precedence.
LO2 Calculate and simplify numerical expressions involving scientific and engineering notation.
LO3 Understand and calculate estimates of error
LO4 Use a calculator in scientific and engineering mode.
LO5 Round a number to significant figures or decimal places.
LO6 Perform unit conversion, using appropriate tools.
LO7 Use the standard mathematical connectives and expressions accurately.
LO8 Use the rules of indices to simplify numerical and algebraic expressions, in particular in the context of simplification of units.
LO9 Parse expressions accurately and perform standard algebraic operations on them.
LO10 Transpose equations and solve linear and quadratic equations.
LO11 Express word problems involving proportion as equations and solve.
LO12 Use appropriate software (e.g. Matlab) to solve an equation in one variable.
LO13 Find the equation of a line given two pieces of information.
LO14 Safely backup electronic data.
LO15 Manage files and folders using a file management system.
LO16 Create use and save a spreadsheet.
LO17 Use common Mathematical, Engineering and Financial formulae in a spreadsheet.
LO18 Plotting charts and graphs from experimental data.
LO19 Plot linear data, draw inferences, find the equation of the line of best fit and use appropriate software (e.g. Excel) to plot linear data and find its equation.
LO20 Convert between degrees and radians.
LO21 Apply the basic techniques of trigonometry to solve problems in engineering involving right angled triangles.
LO22 Perform algebra involving complex numbers.
LO23 Convert between Cartesian and Polar form using a calculator.
Pre-requisite learning
Co-requisite Modules
No Co-requisite modules listed

Module Content & Assessment

Content (The percentage workload breakdown is inidcative and subject to change) %
Arithmetic of real numbers, indices, fractions, precedence rules. Correct use of the calculator. Error Estimation
Algebraic expressions and formulae:
Understanding expressions: counting and listing terms, counting and listing factors, numerator and denominator, indices (powers), multiplication convention, expressions are not equations 2.Manipulation of algebraic expressions: algebraic fractions. Factorising and expanding. Rules of indices. Application to unit simplification. Grouping terms. Quadratic factorization. 3.Understanding syntax: , =, ?, , “divide”, “cancel”, “quotient”, “ratio”, “therefore”, “implies”, “if and only if” 4.Operands in algebra and their inverse 5.Transposition of formulae where variable of interest occurs once. Parse expression into sequence of operands acting on variable. Transposition as sequence of inverse operands. 6.Solve equations involving ratio, proportion. Solving such word problems. 7.Solving linear equations in one variable. Quadratic equations. Simplification to linear or quadratic equation.
Unit Conversion:
Engineering and Scientific notation, indices rules for powers of 10. SI units. Decimal places and significant figures. Word problems. Degrees and Radians. Unit conversion using appropriate software tool.
Software Skills :
File management: Managing Files and the Computer Interface: Directory structure. Searching for files. Copy and rename. Spreadsheets: Basic concepts. Entering data to cells. Selecting cells, rows, columns and ranges. Copying/moving cells. Inserting/deleting cells, rows and columns. Entering formulae. Cell referencing. Using the function wizard. Plotting charts & graphs: line/curve fitting.
Linear Laws:
Cartesian co-ordinates. Equation of straight line. Plotting simple linear laws, y-intercept and slope. Equation of a linear law from data. Linear laws using a spreadsheet.
Right-angled triangles. Sin, Cos and Tan. Sin, Cos and Tan as lengths in the unit circle. Pythagoras’ theorem. Solution of right-angled triangles.
Complex numbers:
Definition of a complex numbers. Conjugate of a complex number. Argand diagram representation. Addition and subtraction of complex numbers in Cartesian form. Polar form. Cartesian to Polar form conversion on the calculator. Multiplication and division in Polar and Cartesian form.
Assessment Breakdown%
Course Work40.00%
End of Module Formal Examination60.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other Diagnostic test to identify for students key areas of consolidation 1,2,3,5,6,7,8,9,10 0.00 Week 1
Continuous Assessment High threshold criterion referenced test at the end of arithmetic and algebra section of course. 1,2,3,5,7,8,9,10 20.00 Week 7
Assignment Assignment to collect, plot and intepret some linear data through Excel 13,14,15,16,17,18,19 20.00 Week 10
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam End-of-Semester Final Examination 1,2,3,4,5,6,7,8,9,10,11,13,18,19,20,21,22,23 60.00 End-of-Semester
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.

IT Tallaght 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 No Description 3.00 Every Week 3.00
Laboratories Computer labs in excel and matlab 1.00 Every Week 1.00
Independent Learning Review of lecture material between lectures, completion of problem sheet questions, computer lab re-inforcement. Synthesis of course material ahead of final semester exam. 3.00 Every Week 3.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
This module has no Part Time workload.

Module Resources

Required Book Resources
  • Anthony Croft, Robert Davison 2008, Foundation Maths, 4th ed Ed., Pearson Education [ISBN: ISBN13: 9780131979215]
  • Semester 1 School of Engineering ITT Mathematics Workbook, Mathematics
Recommended Book Resources
  • Kuldeep Singh 2003, Engineering mathematics through applications, 1st ed Ed., Palgrave Macmillan [ISBN: ISBN 0 - 333 – 92224 – 7]
  • Dexter J. Booth, 2008, Engineering Mathematics, 6th ed Ed., Palgrave Macmillan, [ISBN: ISBN 9781403942463]
This module does not have any article/paper resources
Other Resources
  • CALMAT Learning Environment,: CALMAT Learning Environment, CALMAT Team, Glasgow Caledonian Uni, UK, 2010, CALMAT Learning Environment,

Module Delivered in

Programme Code Programme Semester Delivery
TA_EAEEE_B Bachelor of Engineering (Honours) in Sustainable Energy Engineering 1 Mandatory
TA_EAEEE_D Bachelor of Engineering in Sustainable Energy & Environmental Engineering 1 Mandatory