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Differential Equations (Fall 2012) |
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| Course code : | PEMAT1-U1 | ||
| ECTS Credits : | 5 | Status : | Compulsory |
| Revised : | 20/02 2013 | Written : | 20/02 2013 |
| Placement : | 1. semester | Hours per week : | 4 |
| Length : | 1 semester | Teaching Language : | English |
| Objective : | To give the student an introduction to classic mathematical analysis. And make the student able to use mathematical skills for solving engineering problems. Objectives: A student who fulfils the objectives of the course shall be able to: • explain which types of problems the mathematical methods of the course can be applied to • make equations or mathematical expressions for solving physical / technical problems, both static and dynamic • solve equations and calculate expressions with or without the use of computers. |
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| Principal Content : | Trigonometric functions, Logarithmic and Exponential functions, Differentiation techniques, Integration techniques, Applications of integrations (calculations of area, volume, centre of mass, moment of area, moment of inertia), Linear differential equations of first order, Linear differential equations of second order, Complex numbers, Laplace transformation. |
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| Teaching method : | Approximately three quarters of the time will consist of classic teaching of new subjects, and the last quarter will be used for student exercises supported by the teacher. | ||
| Required prequisites : | None | ||
| Relations : | The course qualifies the student for the subsequent courses in mathematics and forms a basis for understanding the mathematical interpretation of physical phenomena. | ||
| Type of examination : | Four hours written examination | ||
| External examiner : | External | ||
| Marking : | 7 step scale | ||
| Remarks : | Exercises will be given as homework. These must be handed in for assessment by the teacher in order to sit for the examination. | ||
| Teaching material : | Thomas" Calculus, Global Edition, 12th Edition, by George B. Thomas, Maurice D. Weir, and Joel Hass. ISBN-13: 978-0-321-64363-6, Pearson 2010. | ||
| Responsible teacher : | Carsten Rützou
, Carsten.Rutzou@fysik.dtu.dk |
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