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MATH6015 - Technological Mathematics 2

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Title:Technological Mathematics 2
Long Title:Technological Mathematics 2
Module Code:MATH6015
  
Duration:1 Semester
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2014/15 ( September 2014 )
Module Delivered in 11 programme(s)
Module Coordinator: David Goulding
Module Author: AINE NI SHE
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:
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.
Pre-requisite 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).
No recommendations listed
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
Co-requisites
No Co Requisites listed
 

Module Content & Assessment

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.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other In class assessment 1,2 15.0 Week 5
Other In class assessment 3,4,5 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

 

Module Workload

Workload: Full Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Formal Lecture 3.0 Every Week 3.00
Tutorial Based on exercise sheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Class notes and exercise sheets 3.0 Every Week 3.00
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 Lectures 2.0 Every Week 2.00
Independent & Directed Learning (Non-contact) Worksheets with feedback 1.0 Every Week 1.00
Tutorial Tutorial 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Reading and Skills Practice 4.0 Every Second Week 2.00
Independent & Directed Learning (Non-contact) Reading and Skills Practice 3.0 Every Second Week 1.50
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 Ed., Newnes [ISBN: 978-1856176972]
Supplementary Book Resources
  • K.A. Stroud 2007, Engineering Mathematics, 6th Ed., Macmillan [ISBN: 978-1403942463]
  • John Bird 2010, Engineering Mathematics, 6th Ed., 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 Ed., Palgrave Macmillan [ISBN: 978-0230579071]
  • Glyn James... [et al.] 2007, Modern engineering mathematics, 4th Ed., 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_EMANF_7 Bachelor of Engineering in Manufacturing Engineering 3 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

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Email: help@cit.edu.ie