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MATH6037 - Mathematics for Science 2.1

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Title:Mathematics for Science 2.1
Long Title:Mathematics for Science 2.1 with Maple
Module Code:MATH6037
 
Credits: 5
NFQ Level:Fundamental
Field of Study: Mathematics
Valid From: Semester 1 - 2014/15 ( September 2014 )
Module Delivered in 2 programme(s)
Module Coordinator: David Goulding
Module Author: MICHAEL BRENNAN
Module Description: This module contains further calculus including methods of integration and partial differentiation. An introduction to numerical methods and the theory of Laplace transforms completes the module.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Apply integration techniques in solving integrals
LO2 Analyse errors using partial derivatives
LO3 Use numerical methods to estimate definite integrals and solve equations
LO4 Apply the Laplace transform method in solving ordinary differential equations
LO5 Use Maple to reinforce mathematical concepts
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).
562 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
Co-requisites
No Co Requisites listed
 

Module Content & Assessment

Indicative Content
Further Calculus
Integration by Parts and Partial Fractions. Functions of two or more variables. Surfaces. Partial Derivatives. Application to error analysis.
Introduction to Laplace Transforms
Definition of transform. Determining the Laplace transform of basic functions. Development of rules. First shift theorem. Transform of a derivative. Inverse transforms. Application to solving differential equations. Applications to include the damped harmonic oscillator.
Numerical Methods
Solving equations using Newton Raphson method. Approximate definite integrals using midpoint, trapezoidal and Simpson's rules.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation Maple Lab Work 5 10.0 Every Week
Short Answer Questions Series of class assignments 1,2,3,4 20.0 Every Week
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 Conventional lecture 3.0 Every Week 3.00
Tutorial Working on Assignment sheets/Carrying out Continual Assessment Activities 1.0 Every Week 1.00
Lab Maple Lab 1.0 Every Week 1.00
Total Hours 5.00
Total Weekly Learner Workload 5.00
Total Weekly Contact Hours 5.00
Workload: Part Time
Workload Type Workload Description Hours Frequency Average Weekly Learner Workload
Lecture Conventional Lecture 2.0 Every Week 2.00
Lab Maple Lab 1.0 Every Week 1.00
Lecturer-Supervised Learning (Contact) Assignments Collected, Marked and Returned 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) Independent learning 3.0 Every Week 3.00
Total Hours 7.00
Total Weekly Learner Workload 7.00
Total Weekly Contact Hours 4.00
 

Module Resources

Recommended Book Resources
  • John Bird 2010, Higher Engineering Mathematics, Sixth Edition Ed., Newnes Oxford [ISBN: 9781856177672]
Supplementary Book Resources
  • Anthony Croft 2012, Engineering mathematics [electronic book] : a foundation for electronic, electrical, communications and systems engineers, Fourth Edition Ed., Pearson Harlow [ISBN: 9780273719779]
This module does not have any article/paper resources
Other Resources
 

Module Delivered in

Programme Code Programme Semester Delivery
CR_SPHYS_7 Bachelor of Science in Applied Physics and Instrumentation 3 Mandatory
CR_SPHYS_6 Higher Certificate in Science in Applied Physics and Instrumentation 3 Mandatory

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