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Differential Equations (Spring 2010) |
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| Course code : | PMAT1-U5 | ||
| ECTS Credits : | 5 | Status : | Compulsory |
| Revised : | 26/01 2010 | Written : | 17/08 2004 |
| Placement : | 1. semester | Hours per week : | 4 |
| Length : | 1 semester | Teaching Language : | Danish |
| Objective : | To provide the students with basic knowledge in the fundamental tools for constructing and analyze mathematical models, and to provide a basis for further studies in modern engineering mathematics. The use of computer software supports both of these aspects. A student who has met the objectives of the course will be able to: • Apply matrix algebra and Gaussian elimination to solve systems of linear equations. • Use vectors to solve engineering problems. • Apply differentiation and integration to engineering problems. • Analyse simple mathematical models. • Find lengths, areas and volumes of geometrical entities. • Solve simple first order and second order differential equations. • Recognise use of the Laplace transform. • Use the algebraic and geometric representations of complex numbers and the complex exponential function. • Find partial derivatives and linear approximation. • Determine extrema for functions of several variables. • Use computer software, currently MathCAD, for the solution and the graphical illustration of mathematical problems. • Read engineering literature on applied mathematics. |
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| Principal Content : | Linear equations. Matrix algebra. Eigenvalue problems. Complex numbers. Functions of one real variable: Engineering applications of differentiation and integration. First and second order differential equations. Functions of several real variables: Partial derivatives and linear approximations. Applications of MathCAD in the above areas. Examples of applications in the engineering sciences. | ||
| Teaching method : | The teaching is based on “learning by doing”. There will be introductory and summing up lectures. Students work in small groups with problem solving, computer simulations and case studies. | ||
| Relations : | Projects 2-4, Applied Mechanics 1 & 2 and Applied Mathematics 2. | ||
| Type of examination : | Look under remarks | ||
| External examiner : | External | ||
| Marking : | 7 step scale | ||
| Remarks : | Oral examination based on a number of assignments. | ||
| Teaching material : | Engineering Mathematics Through Applications, ISBN-13: 9780333922248, by Kuldeep Singh, Palgrave Macmillan 2003. - Noter på CampusNet. |
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| Responsible teacher : | Lisa Christensen
, lch@ihk.dk |
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