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Numerical methods are strategies for solving mathematical problems in engineering analysis that cannot be addressed easily or possibly by analytical methods. Numerical techniques are in charge of discovering effective numerical solutions to complicated mathematical problems. The curriculum teaches students how to create mathematical models for common classes of engineering problems and solve them using suitably chosen numerical methods, with an emphasis on ordinary and partial differential equations. Students learn how to apply cutting-edge numerical approaches to actual problem-solving engineering solutions, as well as how to present and discuss their ideas in group evaluations. |
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The aims of this unit are:
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A1 |
Deep understanding of analytical systems which are defined to predict and solve (and are also used to support) different mathematical problems in managerial contexts. |
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A2 |
Understanding of different types of numerical methods and comprehension of how they can be applied in operations management. |
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A3 |
Detailed analysis of how numerical methods can, procedurally and methodologically, be applied for solving various problems in operations management. |
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A4 |
Learning about computer-based frameworks and software that can be utilised for problem-solving in operations management. |
On satisfactory completion of the unit you will be able to:
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LO1 |
Identify, describe, and specify analytical systems to predict and solve different mathematical problems related to management. |
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LO2 |
Identify, describe, specify, and characterise numerical methods that are applicable in operations management. |
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LO3 |
Describe, specify, and analyse how numerical methods are applied for solving various problems in operations management. |
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LO4 |
Critically specify what computer-based frameworks can be utilised for real problems in operations management. |
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Indicative Content:
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Analytical and Numerical Methods in Operations Management
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Mathematical Problems in Operations Management
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Mathematical Problem-Solving in Operations Management
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Numerical Solutions Real-World Operational Problems |
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Essentials:
- Novek, K. (2022): Numerical Methods for Scientific Computing: The Definitive Manual for Math Geeks, Equal Share Press
Recommended:
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Barrett, Richard, Michael Berry, et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM: Society for Industrial and Applied Mathematics, 1987. ISBN: 9780898713282.
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Trefethen, Lloyd N. and David Bau III. Numerical Linear Algebra. SIAM: Society for Industrial and Applied Mathematics, 1997. ISBN: 9780898713619.
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Bai, Zhaojun, James Demmel, et al. Templates for the Solution of Algebraic Eigenvalue Problems: a Practical Guide. SIAM: Society for Industrial and Applied Mathematics, 1987. ISBN: 9780898714715.
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Steven C. Chapra & Raymond P. Canale. Numerical Methods for Engineering
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J. Hoffman. Numerical Methods for Scientist and Engineering
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William Dorn & Daniel McCracken. Numerical Methods with Fortran IV Case Studies |
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