Module Details

Module Code: MATH6019
Title: Technological Maths 2 & Maple
Long Title: Technological Maths 2 & Maple
NFQ Level: Fundamental
Valid From: Semester 1 - 2024/25 ( September 2024 )
Duration: 1 Semester
Credits: 5
Field of Study: 4610 - Mathematics
Module Delivered in: 9 programme(s)
Module Description: This module introduces students to differential and integral calculus. Maple is used to explore the topics.
 
Learning Outcomes
On successful completion of this module the learner will be able to:
# Learning Outcome Description
LO1 Differentiate various functions and apply differentiation to tangents, rates of change, and optimisation.
LO2 Integrate functions using a table of standard integrals and by substitution.
LO3 Apply integration techniques to problems relevant to student discipline.
LO4 Formulate and solve simple ordinary differential equations.
LO5 Use computer software to explore calculus.
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).
20581 MATH6019 Technological Maths 2 & Maple
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, product, quotient, chain rules. Applications of differentiation.
Integration
Integration as anti-differentiation. Standard integrals. Integration by substitution. Integration as summation. Definite integral and its significance. Applications of definite integral. Solution of simple ordinary differential equations.
Mathematical Software
Introduction to mathematical software packages (e.g. Maple). Exploration of calculus and its applications. Calculus package.
Module Content & Assessment
Assessment Breakdown%
Coursework40.00%
End of Module Formal Examination60.00%

Assessments

Coursework
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 5 Learning Outcomes 1
Assessment Description
Classroom Assessment
Assessment Type Short Answer Questions % of Total Mark 15
Timing Week 10 Learning Outcomes 2,3
Assessment Description
Classroom Assessment
Assessment Type Practical/Skills Evaluation % of Total Mark 10
Timing Every Week Learning Outcomes 5
Assessment Description
Series of in class assessments based on lab work.
End of Module Formal Examination
Assessment Type Formal Exam % of Total Mark 60
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 Formal lecture Every Week 3.00 3
Tutorial Contact Based on exercise sheets Every Week 1.00 1
Lab Contact Computer Software Laboratory Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Worksheets Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Reading and Skills Practice Every Week 1.00 1
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 5.00
Workload: Part Time
Workload Type Contact Type Workload Description Frequency Average Weekly Learner Workload Hours
Lecture Contact Formal Lecture Every Week 2.00 2
Tutorial Contact Tutorial Every Week 1.00 1
Lab Contact Maple Lab Every Second Week 0.50 1
Independent & Directed Learning (Non-contact) Non Contact Set worksheets with feedback Every Week 1.00 1
Independent & Directed Learning (Non-contact) Non Contact Reading and Skills Practice Every Week 2.50 2.5
Total Hours 7.50
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.50
 
Module Resources
Recommended Book Resources
  • John Bird. (2021), Bird's Engineering Mathematics, 9th Ed. 67, Taylor & Francis, E-Book, p.759, [ISBN: 9781000351941].
  • John Bird. (2021), Bird's Engineering Mathematics, 9th Ed. 67, Routledge, p.742, [ISBN: 9781003124238].
Supplementary Book Resources
  • K.A. Stroud, Dexter J. Booth. (2020), Engineering Mathematics, 8th Ed. Red Globe Press, p.0, [ISBN: 9781352010275].
This module does not have any article/paper resources
Other Resources
 
Module Delivered in
Programme Code Programme Semester Delivery
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CR_SESST_8 Bachelor of Science (Honours) in Environmental Science and Sustainable Technology 2 Mandatory
CR_SINEN_8 Bachelor of Science (Honours) in Instrument Engineering 2 Mandatory
CR_SCHEM_7 Bachelor of Science in Analytical and Pharmaceutical Chemistry 2 Mandatory
CR_SPHYS_7 Bachelor of Science in Applied Physics and Instrumentation 2 Mandatory
CR_SPHYS_6 Higher Certificate in Science in Applied Physics and Instrumentation 2 Mandatory
CR_SCHEM_6 Higher Certificate in Science in Chemistry 2 Mandatory
CR_SOMNI_7 Physical Sciences (Common Entry) 2 Mandatory
CR_SOMNI_8 Physical Sciences (Common Entry) 2 Mandatory