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MODULE DESCRIPTOR
Module Title
Mathematics 2
Reference EN2901 Version 3
Created July 2017 SCQF Level SCQF 8
Approved June 2002 SCQF Points 15
Amended September 2017 ECTS Points 7.5

Aims of Module
To provide the student with the ability to apply advanced level mathematics to engineering problems.

Learning Outcomes for Module
On completion of this module, students are expected to be able to:
1 Solve first and second order ordinary differential equations by algebraic methods and apply Laplace transform methods to problems involving simple linear systems.
2 Carry out partial differentiation and apply it to problems in Science and Engineering.
3 Apply Fourier series techniques to periodic signals.
4 Calculate eigenvalues and eigenvectors of small matrices and apply diagonalisation in order to solve simultaneous ordinary differential euqations.
5 Use computational packages in support of the other Learning Outcomes.

Indicative Module Content
The syllabus will include: Solution of first and second order ordinary differential equations: separation of variables. Integrating factor method. Complementary function and particular integrals. Laplace Transforms: Definition of Laplace transform and its inverse. Use of tables to calculate Laplace transforms of elementary functions. The solution of ordinary differential equations. The step function and impulse function. Multivariable calculus: Partial differentiation. Application to problems in Science and Engineering. Fourier Series: Decomposition of waveforms. Fourier series of simple functions. The use of symmetry. Amplitude spectra. Eigenvalues and eigenvectors: Application to systems of differential equations. Further application of a computer mathematics package for solving problems in engineering mathematics.

Module Delivery
The module is delivered using a series of lectures with associated tutorials and computer laboratories where techniques can be applied.

Indicative Student Workload Full Time Part Time
Contact Hours 60 N/A
Non-Contact Hours 90 N/A
Placement/Work-Based Learning Experience [Notional] Hours N/A N/A
TOTAL 150 N/A
Actual Placement hours for professional, statutory or regulatory body    

ASSESSMENT PLAN
If a major/minor model is used and box is ticked, % weightings below are indicative only [for the purposes of the Key Information Set (KIS)]
Component 1
Type: Practical Exam Weighting: 30% Outcomes Assessed: 5
Description: Computer based laboratory test.
Component 2
Type: Examination Weighting: 70% Outcomes Assessed: 1, 2, 3, 4
Description: Closed book examination.

MODULE PERFORMANCE DESCRIPTOR
Explanatory Text
To pass the module, you must achieve a 40% weighted average mark from the examination and practical examination. In addition, you need to achieve at least 35% in both the examination and the practical examination Components.
Module Grade Minimum Requirements to achieve Module Grade:
A 70-100%
B 60-69%
C 50-59%
D 40-49%
E 35-39%
F 0-34%
NS Non-submission of work by published deadline or non-attendance for examination

Module Requirements
Prerequisites for Module Mathematics 1B (EN1912) or equivalent.
Corequisites for module None.
Precluded Modules None.

INDICATIVE BIBLIOGRAPHY
1 STROUD, K. A. and BOOTH, D. J, 2011. Advanced Engineering Mathematics. 5th ed. Palgrave.
2 STROUD, K.A. and BOOTH D.J., 2013. Engineering Mathematics. 7th ed. Palgrave.
3 KREYSZIG, A. 2005. Advanced Engineering Mathematics. 9th Ed. Wiley

 

Robert Gordon University, Garthdee House, Aberdeen, AB10 7QB, Scotland, UK: a Scottish charity, registration No. SC013781