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MATH7010 - Mathematics for Science 3.1

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Title:Mathematics for Science 3.1
Long Title:Mathematics for Science 3.1
Module Code:MATH7010
 
Credits: 5
NFQ Level:Intermediate
Field of Study: Mathematics
Valid From: Semester 1 - 2009/10 ( September 2009 )
Module Delivered in 1 programme(s)
Module Coordinator: David Goulding
Module Author: MICHAEL BRENNAN
Module Description: This module includes more advanced Laplace transforms to include study of unit step, Dirac function and periodic functions. The study of numerical analysis and Fourier series make up the rest of the module.
Learning Outcomes
On successful completion of this module the learner will be able to:
LO1 Define and apply step and Dirac functional inputs
LO2 Develop Laplace transforms of step,Dirac and periodic functions
LO3 Solve differential equations
LO4 Fit lines to experimental data using interpolation and regression methods
LO5 Compute Fourier series of functions including odd and even functions
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).
Mathematics for Science 2.1 or equivalent
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
Advanced Laplace transforms
Definition of step function and unit impulse. Proof of second shift theorem. Transfer functions. Periodic inputs including square, triangular and sawtooth waves. Solving differential equations.
Numerical Analysis
Finite differences. Newton Gregory and Lagrangian interpolation. Curve fitting. Least squares regression. Correlation coefficients. Non-linear regression
Fourier Series
Odd and Even functions. Development of Euler formulas. Determining Fourier coefficients. Find half range expansions.
Assessment Breakdown%
Course Work30.00%
End of Module Formal Examination70.00%
Course Work
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Other In Class Assessment 1,2,3 15.0 Week 5
Other In Class Assessment 3,4,5 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 1,2,3,4,5 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 Based on Exercise Sheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) No Description 3.0 Every Week 3.00
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 Conventional Lecture 3.0 Every Week 3.00
Lecturer-Supervised Learning (Contact) Based on Exercise sheets 1.0 Every Week 1.00
Independent & Directed Learning (Non-contact) No Description 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 2006, Higher Engineering Mathematics, Fifth Ed., Newnes [ISBN: 0-7506-8152-7]
Supplementary Book Resources
  • Erwin Kreyszig 1999, Advanced Engineering Mathematics, Wiley [ISBN: 0-47133328-X]
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 5 Mandatory

Cork Institute of Technology
Rossa Avenue, Bishopstown, Cork

Tel: 021-4326100     Fax: 021-4545343
Email: help@cit.edu.ie