Module Details

Module Code: MATH6040
Title: Technological Mathematics 201
Long Title: Technological Mathematics 201
NFQ Level: Fundamental
Valid From: Semester 1 - 2014/15 ( September 2014 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 14 programme(s)
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:
# Learning Outcome Description
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.
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).
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
 
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.
Module Content & Assessment
Assessment Breakdown%
Coursework30.00%
End of Module Formal Examination70.00%

Assessments

Coursework
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 4 Learning Outcomes 1
Assessment Description
Written Assessment - Differentiation
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 8 Learning Outcomes 2
Assessment Description
Written Assessment - Vectors
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 70
Timing End-of-Semester Learning Outcomes 1,2,3,4
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 Theory Every Week 3.00 3
Tutorial Contact Problem Solving Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Review of lecture material Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Completion of exercise sheets Every Week 2.00 2
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 Theory Every Week 2.50 2.5
Tutorial Contact Problem Solving Every Second Week 0.50 1
Independent & Directed Learning (Non-contact) Non Contact Review of lecture material Every Week 2.00 2
Independent & Directed Learning (Non-contact) Non Contact Completion of exercise sheets Every Week 2.00 2
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. Macmillan, [ISBN: 978-1403942463].
  • Glyn James. (2010), Modern Engineering Mathematics, 4th. 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_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