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Mathematics 2 (Spring 2013) |
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| Course code : | ME-MAT2-U1 | ||
| ECTS Credits : | 5 | Status : | Compulsory |
| Revised : | 13/05 2013 | Written : | 16/07 2009 |
| Placement : | 2. semester | Hours per week : | 4 |
| Length : | 1 semester | Teaching Language : | Danish and English |
| Objective : | To provide the students with basic knowledge in fundamental mathematical tools to solve engineering problems and to construct and analyze mathematical models, as well as to provide a foundation for further studies in modern engineering mathematics. The use of computer software and graphing calculators supports both of these aspects. A student who has met the objectives of the course will be able to: • Apply linear algebra to solve engineering problems. • Use matrices and determinants to solve systems of linear equations. • Determine partial derivatives, extreme values and gradients. • Use Lagrange multipliers to solve optimization problems. • Calculate double and triple integrals. • Calculate line and surface integrals. • Use Green’s theorem and Stokes’ theorem in vector fields. • Use vector analysis to model and solve practical engineering problems. • Use computer software and graphing calculators for the solution and the graphical illustration of mathematical problems. • Learn new topics in engineering mathematics through guided assignments. |
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| Principal Content : | Introduction to linear algebra: Matrices, determinants, systems of linear equations, eigenvalues and eigenvectors. Functions of several variables: Partial derivatives and multiple integrals, extreme values, Lagrange multipliers. Vector analysis: Line integrals, conservative fields, Green’s theorem, surface integrals, Stokes’ theorem. Examples of applications in the engineering sciences. | ||
| Teaching method : | The pedagogy of the course is "problem-based learning".There will be introductory and summing up lectures and students will work in small groups with projects, problem solving, computer simulations and case studies. | ||
| Required prequisites : | M-MAT1 or equivalent. | ||
| Recommended prerequisites : | - | ||
| Relations : | ME-MAT1 and ME-MAT3. The course is otherwise fundamental to the whole study program in mechanical engineering. | ||
| Type of examination : | Four hours written examination | ||
| External examiner : | External | ||
| Marking : | 7 step scale | ||
| Remarks : | This course is an integrated part of the study program “Engineering Design & Industrial Innovation” offered by the Department of Mechanical Engineering. It is, however, a general methodological course aimed at all engineering students, regardless of specialization. | ||
| 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. - Lecture notes on CampusNet. |
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| Responsible teacher : | Imad Abou-Hayt
, iabo@dtu.dk |
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