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MATH6019 - Technological Maths 2 & Maple

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Title:Technological Maths 2 & Maple
Long Title:Technological Maths 2 & Maple
Module Code:MATH6019
 
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2009/10 ( September 2009 )
Module Delivered in 9 programme(s)
Module Coordinator: AINE NI SHE
Module Author:  
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:
LO1 Differentiate various functions and apply differentiation to tangents, rates of change, and optimization.
LO2 Integrate functions using a table of standard integrals and by substitution.
LO3 Apply integration to problems relevant to student discipline.
LO4 Formulate and solve simple differential equations.
LO5 Use Maple to explore calculus.
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, product, quotient, chain rules. Application 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 differential equations.
Maple
Introduction to Maple. Exploration of calculus and its applications. Calculus package.
Assessment Breakdown%
Course Work40.00%
End of Module Formal Examination60.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation Openbook practical lab exam 5 10.0 Week 12
Short Answer Questions Classroom Assessment 1 15.0 Week 5
Short Answer Questions Classroom Assessment 2,3 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 60.0 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 4.0 Every Week 4.00
Lab Maple laboratory 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Worksheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) No Description 1.0 Every Week 1.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 5.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Formal Lecture 2.0 Every Week 2.00
Independent & Directed Learning (Non-contact) Set worksheets with feedback 1.0 Every Week 1.00
Tutorial Tutorial 1.0 Every Second Week 0.50
Lab Maple Lab 2.0 Every Month 0.50
Independent & Directed Learning (Non-contact) Reading and Skills Practice 3.0 Every Week 3.00
Total Hours 9.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 3.00
 

Module Resources

Recommended Book Resources
  • Stroud K A 2007, Engineering Mathematics, 6th Edition Ed., MacMillan [ISBN: 9781403942463]
Supplementary Book Resources
  • John Bird 2007, Engineering Mathematics, 5th Edition Ed., Elsevier Science & Technology [ISBN: 978-0-7506-8555-9]
This module does not have any article/paper resources
Other Resources
  • Website: http://mathsonline.cit.ie
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_SCHQA_8 Bachelor of Science (Honours) in Analytical Chemistry with Quality Assurance 2 Mandatory
CR_SCISY_8 Bachelor of Science (Honours) in Computerised Instrument Systems 2 Mandatory
CR_SESST_8 Bachelor of Science (Honours) in Environmental Science and Sustainable Technology 2 Mandatory
CR_SINEN_8 Bachelor of Science (Hons) 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 Applied Physics and Instrumentation 2 Mandatory
CR_SOMNI_8 Physical Sciences (Common Entry) 2 Mandatory
CR_SOMNI_7 Physical Sciences (Common Entry) 2 Mandatory

Cork Institute of Technology
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Tel: 021-4326100     Fax: 021-4545343
Email: help@cit.edu.ie