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MATH6040 - Technological Mathematics 201

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Title:Technological Mathematics 201
Long Title:Technological Mathematics 201
Module Code:MATH6040
  
Duration:1 Semester
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2014/15 ( September 2014 )
Module Delivered in 15 programme(s)
Module Coordinator: David Goulding
Module Author: AINE NI SHE
Module Description: This module builds on the learner's previous knowledge and understanding of differential and integral calculus. New techniques and applications of differentiation are included. The learner is also introduced to the theory and applications of vectors and matrices.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Differentiate parametrically, implicitly, partially and solve related rates of change problems.
LO2 Apply vector algebra methods to problems involving forces and moments of forces.
LO3 Integrate by parts and by inverse trigonometric substitution; and apply integration methods to various applied problems.
LO4 Solve and analyse simultaneous equations using matrix algebra methods.
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).
Technological Mathematics 1 Technological Mathematics 2
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
Related rates of change. Differentiation of implicit functions and parametric functions. Partial differentiation.
Vector Algebra
Magnitude and direction. Component form in two and three dimensions. Addition and subtraction of vectors: triangle and parallelogram laws. Scalar product, vector product. Application to resolution of forces, work done, moments.
Integration
Techniques of integration including integration by parts and inverse trigonometric substitution. Applications of definite integrals: work done by variable force, expanding gas; centroid of a plane area; volume, mass and centre of gravity of solid of revolution.
Matrix Algebra
Definitions and notation. Addition, subtraction, multiplication of matrices. Determinants. Matrix inversion. Application to the solution of simultaneous linear equations. Cramer's rule. The singular case, inconsistent equations.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Short Answer Questions Written Assessment - Differentiation 1 15.0 Week 4
Short Answer Questions Written Assessment - Vectors 2 15.0 Week 8
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 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 Theory 3.0 Every Week 3.00
Tutorial Problem Solving 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Review of lecture material 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Completion of exercise sheets 2.0 Every Week 2.00
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 Theory 2.5 Every Week 2.50
Tutorial Problem Solving 1.0 Every Second Week 0.50
Independent & Directed Learning (Non-contact) Review of lecture material 2.0 Every Week 2.00
Independent & Directed Learning (Non-contact) Completion of exercise sheets 2.0 Every Week 2.00
Total Hours 7.50
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 

Module Resources

Recommended Book Resources
  • John Bird 2010, Higher Engineering Mathematics [ISBN: 978-1856177672]
Supplementary Book Resources
  • K.A. Stroud & Dexter J.Booth 2007, Engineering Mathematics, 6th Ed., Macmillan [ISBN: 978-1403942463]
  • Glyn James 2010, Modern Engineering Mathematics, 4th Ed., Prentice Hall [ISBN: 978-0273734130]
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 3 Mandatory
CR_ESENT_8 Bachelor of Engineering (Honours) in Sustainable Energy Engineering 3 Mandatory
CR_EBIME_7 Bachelor of Engineering in Biomedical Engineering 3 Mandatory
CR_EBSEN_7 Bachelor of Engineering in Building Services Engineering 3 Mandatory
CR_CCIVL_7 Bachelor of Engineering in Civil Engineering 3 Mandatory
CR_CENVI_7 Bachelor of Engineering in Environmental Engineering 3 Mandatory
CR_EMANF_7 Bachelor of Engineering in Manufacturing Engineering 4 Mandatory
CR_EMECH_7 Bachelor of Engineering in Mechanical Engineering 3 Mandatory
CR_EENEN_7 Certificate in Environmental and Energy Engineering 1 Elective
CR_EMSCI_6 Certificate in Mechanical Science 2 Mandatory
CR_EBIME_6 Higher Certificate in Engineering in Biomedical Engineering 3 Mandatory
CR_EBSEN_6 Higher Certificate in Engineering in Building Services Engineering 3 Mandatory
CR_CCIVL_6 Higher Certificate in Engineering in Civil Engineering 3 Mandatory
CR_EMECH_6 Higher Certificate in Engineering in Mechanical Engineering 4 Mandatory
CR_EMECN_7 Parttime - Bachelor of Engineering in Mechanical Engineering 4 Group Elective 1

Cork Institute of Technology
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Email: help@cit.edu.ie