Applied Mathematics
MP191: Mathematical Methods I (5 ECTS)
The module is designed as an introductory course to the theory and applications of linear difference and ordinary differential equations. The module includes many examples of how these types of equations are used to describe real applications, especially economics applications. No prior knowledge of difference or differential equations is assumed.
Taught in Semester(s) II. Examined in Semester(s) II.
Workload: 30 hours (24 Lecture hours, 6 Tutorial hours).
Module Learning Outcomes.
On successful completion of this module the learner should be able to:
- Solve first- and second- order, linear, homogeneous and inhomogeneous difference equations.
- Solve first- and second-order, linear, homogeneous and inhomogeneous ordinary differential equations, using the various methods of separation of variables, integrating factor, and judicious guessing of a particular solution.
Indicative Content
General Aims:
The aim of the module is to equip the student with techniques required to classify, and thus solve, linear difference and differential equations. The module is designed to develop an understanding of how difference and differential equations can be used to describe real world applications.
Module Resources
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