Module Details

Module Code: MATH6015
Title: Technological Mathematics 2
Long Title: Technological Mathematics 2
NFQ Level: Fundamental
Valid From: Semester 1 - 2014/15 ( September 2014 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 10 programme(s)
Module Description: This module introduces differential and integral calculus and treats applications pertinent to the student discipline.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Differentiate a wide variety of functions encountered in engineering problems.
LO2 Determine the equation of a tangent line, calculate rates of change and solve optimisation problems.
LO3 Evaluate anti-derivatives and definite integrals using table look-up and the method of substitution.
LO4 Apply integration to problems relevant to the student discipline.
LO5 Formulate and solve first-order differential equations.
Dependencies
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 MTU module(s) it also allows for learning (in another module or modules) which is equivalent to the learning specified in the named module(s).
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.
No incompatible modules listed
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
 
Indicative Content
Differentiation
Introduction to limits. Definition and graphical interpretation of a derivative. Differentiation of common functions using the product, quotient and chain rules. Applications of differentiation.
Integration
Integration as anti-differentiation. Evauation of standard integrals using table look-up and the method of substitution. Applications of the definite integral. Solutions of first-order differential equations.
Module Content & Assessment
Assessment Breakdown%
Coursework30.00%
End of Module Formal Examination70.00%

Assessments

Coursework
Assessment Type Other % of Total Mark 15
Timing Week 5 Learning Outcomes 1,2
Assessment Description
In class assessment
Assessment Type Other % of Total Mark 15
Timing Week 10 Learning Outcomes 3,4,5
Assessment Description
In class assessment
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 70
Timing End-of-Semester Learning Outcomes 1,2,3,4,5
Assessment Description
End-of-Semester Final Examination
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 University reserves the right to alter the nature and timings of assessment

 

Module Workload

Workload: Full Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Formal Lecture Every Week 3.00 3
Tutorial Contact Based on exercise sheets Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Class notes and exercise sheets Every Week 3.00 3
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Lectures Every Week 2.00 2
Independent & Directed Learning (Non-contact) Non Contact Worksheets with feedback Every Week 1.00 1
Tutorial Contact Tutorial Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Reading and Skills Practice Every Second Week 2.00 4
Independent & Directed Learning (Non-contact) Non Contact Reading and Skills Practice Every Second Week 1.50 3
Total Hours 11.00
Total Weekly Learner Workload 7.50
Total Weekly Contact Hours 3.00
 
Module Resources
Recommended Book Resources
  • P. Tebbutt. (1998), Basic Mathematics, John Wiley & Sons, [ISBN: 0-471-97284-3].
  • John Bird. (2010), Basic Engineering Mathematics, 5th. Newnes, [ISBN: 978-1856176972].
Supplementary Book Resources
  • K.A. Stroud. (2007), Engineering Mathematics, 6th. Macmillan, [ISBN: 978-1403942463].
  • John Bird. (2010), Engineering Mathematics, 6th. Newnes, [ISBN: 978-0080965628].
  • Kuldeep Singh. (2011), Engineering Mathematics Through Applications. Kuldeep Singh, Palgrave Macmillan, [ISBN: 978-0230274792].
  • K.A.Stroud. (2009), Foundation Mathematics, 1st. Palgrave Macmillan, [ISBN: 978-0230579071].
  • Glyn James... [et al.]. (2007), Modern engineering mathematics, 4th. Pearson Prentice Hall, Harlow, [ISBN: 978-0132391443].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
CR_EBENS_8 Bachelor of Engineering (Honours) in Building Energy Systems 2 Mandatory
CR_ESENT_8 Bachelor of Engineering (Honours) in Sustainable Energy Engineering 2 Mandatory
CR_EBIME_7 Bachelor of Engineering in Biomedical Engineering 2 Mandatory
CR_EBSEN_7 Bachelor of Engineering in Building Services Engineering 2 Mandatory
CR_EMECH_7 Bachelor of Engineering in Mechanical Engineering 2 Mandatory
CR_EBIME_6 Higher Certificate in Engineering in Biomedical Engineering 2 Mandatory
CR_EBSEN_6 Higher Certificate in Engineering in Building Services Engineering 2 Mandatory
CR_EMECH_6 Higher Certificate in Engineering in Mechanical Engineering 2 Mandatory
CR_EMECH_6 Higher Certificate in Engineering in Mechanical Engineering 3 Mandatory
CR_EMECN_7 Parttime - Bachelor of Engineering in Mechanical Engineering 3 Group Elective 1