An introduction to fundamental mathematical calculations and problem solving aimed at consolidating and developing student competence in the mathematical techniques which are central to scientific and engineering programmes.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1
Perform essential engineering arithmetical calculations applying acquired knowledge of various calculator functions.
LO2
Use the laws of indices and logs to solve related equations arising in applied problems.
LO3
Formulate and solve equations involving quadratics and cubics. Solve a system of simultaneous linear equations using elimination.
LO4
Reduce equations to linear form and determine parameters from appropriate graphs.
LO5
Use basic trigonometry to determine angles, lengths and areas and solve simple trigonometric equations. Determine the salient characteristics of a sinusoidal waveform.
Pre-requisite learning
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.
14701
MATH6014
Technological Mathematics 1
Co-requisite Modules
No Co-requisite 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.
No requirements listed
Co-requisites
No Co Requisites listed
Module Content & Assessment
Indicative Content
The Fundamentals of Arithmetic with Applications
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
Basic Mathematics
Indices with a discussion of scientific notation and orders of magnitude. Logarithms and their use in the solution of indicial (exponential) equations. Conversion of units. Evaluation and transposition of formulae.
Algebra
Formulation and solution of linear, quadratic and cubic equations. Formulation and solution of systems of simultaneous linear equations. Simple partial fraction expansions.
Linear Graphs
Reduction of non-linear relationships to linear form. Manipulation of data and plotting of linear graphs to estimate parameters.
Trigonometry
Angle measurement in degrees and radians. Conversion between degrees and radians and vice versa. Length of a circular arc and area of a circular sector. Introduction of the trigonometric ratios via the unit circle. Solution of simple trigonometric equations. Applications of the Sine and Cosine rules to angle, length and area measurement. Graphs of the trigonometric functions with emphasis on the waveform nature of the Sine and Cosine functions. Discussion of general waveforms in terms of amplitude, period, frequency and phase. Treatment of applied problems involving sinusoidal waveforms.
Assessment Breakdown
%
Course Work
30.00%
End of Module Formal Examination
70.00%
Course Work
Assessment Type
Assessment Description
Outcome addressed
% of total
Assessment Date
Short Answer Questions
In Class Assessment
1,2
15.0
Week 5
Short Answer Questions
In class assessment
3,4
15.0
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
70.0
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.
The institute reserves the right to alter the nature and timings of assessment