To provide students with basic mathematical knowledge and problem solving skills within theoretical construction mechanics.

• Establish differential equations and boundary conditions for simple systems in construction mechanics.
• Derive equations to determine eigenvalues for simple systems in construction mechanics.
• Write iteration algorithms for the determination of zeros of real functions.
• Use numerical methods (currently involving MAPLE or MATLAB) in the computation of eigenvalues.
• Use methods from Sturm-Liouville theory to determine families of orthogonal eigenfunctions.
• Derive and solve coupled eigenvalue problems in seperable differential equations.
• Use the Fourier Series Method in the solution of boundary- and initial value problems for partial differential equations.

Modeling in selected problems from construction mechanics (e.g. beams and columns) and mathematical tools in the analysis of such models. Differential equations, in particular boundary and eigenvalue problems for linear ordinary differential equations, solution methods and the structure of solution spaces, Sturm-Liouville Theory, partial differential equations, separation of variables, Fourier Series revisited. The course will blend mathematics and construction mechanics in exercises and projects.

The course is offered jointly by Department of Mathematics (MAT) and Department of Mechanical Engineering (MEK).

Please contact the teacher for information on whether this course gives the student the opportunity to prepare a project that may participate in DTU´s Study Conference on sustainability, climate technology, and the environment (GRØN DYST). More information http://www.groendyst.dtu.dk/kursustilmelding.aspx