After successfully completing this course:
- working knowledge of the concepts of matrix algebra and finite-dimensional linear algebra, such as echelon form, lu-decomposition, linear independence, determinants
- familiar with the concepts of basis and dimension - the student is familiar with the concepts of eigenvalues and eigenvectors, diagonalization
- has working knowledge of the concepts of inner product spaces, including orthogonal projections and diagonalization of symmetric matrices
This is a part of Semester 1 of the Bachelor Mechanical Engineering (UT-VU) See here for the compete description of this semester.|
Mathematics: Linear Algebra is the first course of the MATHEMATICS learning line.
The course covers chapters 1 to 3 of Lay (linear systems, matrices, determinants) in block 1 and chapters 5 (eigenvalues), chapter 6 (orthogonality), chapter 7 (symmetric matrices) and Appendix B (complex numbers) in block 2. The focus is on matrix theory in n-dimensional Euclidean space, general vector spaces will not be treated.
The course is given in parallel with Statics and Mechanics of Materials. For that reason, examples of linear systems of equations and eigenvalue problems will be taken from the applications used in those courses. Attention is paid to the numerical implementation in Matlab, such that students become familiar with solving applied mechanics problems numerically, which is required for Statics and Mechanics of Materials.
Please note: This course takes place in Amsterdam and is only accessible for BSc UT-VU ME students.