Short Title:  Technical Mathematics 1 

Full Title:  Technical Mathematics 1 

Field of Study:  Mechanics and metal work 

Reviewed By:  JOHN ANDREW DONNELLAN 

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. 
Prerequisite learning 

Corequisite Modules
 No Corequisite modules listed 
Module Content & Assessment
Content (The percentage workload breakdown is inidcative and subject to change) 
% 
Arithmetic: Arithmetic of real numbers, indices, fractions,
precedence rules. Correct use of the calculator. Error Estimation

17.00% 
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.

30.00% 
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.

8.00% 
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.

12.00% 
Linear Laws: Cartesian coordinates. Equation of straight line. Plotting simple
linear laws, yintercept and slope. Equation of a linear law from
data. Linear laws using a spreadsheet.

13.00% 
Trigonometry: Rightangled triangles. Sin, Cos and Tan. Sin, Cos and Tan as lengths
in the unit circle. Pythagoras’ theorem. Solution of rightangled
triangles.

8.00% 
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.

12.00% 
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 
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 
EndofSemester Final Examination 
1,2,3,4,5,6,7,8,9,10,11,13,18,19,20,21,22,23 
60.00 
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. 
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 reinforcement. 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 ResourcesRequired 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
