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04201 Applied Mathematics 1
Danish title: Anvendt matematik 1

Type: Å, Language: DDD
Credit points: 5 point
Previous course: C0311
Offered by: Department of Mathematical Modelling (IMM)
No credit points with: C0146/01246/C0311
Prerequisite: C0130/01030/C0131/01031/C0122/01032/C8812/01034/C8814/36260. C0201/04110/C0205/04010/C6908. C1521/C1801/C1502/ 10002/C1501/10001/C1511/C1010/C1533. C1101/C1803/C1508/10008/C1513/10013/C1522/C1533.
Recommended semester: 4th -7th semester
Scope and form: Lectures and exercises (in the databar)
Examination: Written exam and reports (13 point scale )
Contact person: Søren Christiansen, IMM, Building 305, Tel. +45 4525 3021
Aim: To give a survey of methods in applied mathematics and to enable the participants to make use of procedures from mathematical analysis and modern software tools.
Contents: Examples in modelling physical and technical systems. Analytical methods, e.g. expansions after systems of orthogonal functions. Eigenvalue problems. Ordinary differential equations with singular coefficients. Green's function and formulation of integral equations. Introduction to calculus of variations. Asymptotic methods. Numerical solution of boundary value problems using the finite element method, the spectral method, the method of lines or the collocation method.