Base Knowledge
Knowledge and mastery of the subjects taught in Mathematics secondary school.
Teaching Methodologies
In Theoretical lessons a theoretical exposition of each subject is made. In Theoretical-Practical lessons the resolution of application exercises are made.
Learning Results
The teaching of mathematics should facilitate mathematical communication, reflective thinking, the application of mathematical techniques to problem solving, critical analysis of the results obtained, in other worlds interdisciplinarity. One of the goals of Linear Algebra is to provide the basic fundamentals of mathematical methods usually applied in engineering, used by different course units in Mechanical Engineering Degree.
Program
1. Complex Numbers
2. Matrices and Linear Systems: introduction; matrix operations and their properties; row echelon form and rank;
classification and geometry of linear systems; Gaussian elimination; homogeneous systems; matrix inversion:
Gauss-Jordan method.
3. Linear Spaces: definition, examples and properties; Subspaces; linear combinations; linear expansion; Linear
independence; Basis and dimension.
4. Determinants: definition and properties; adjunct matrix and the inverse; applications.
5. Eigenvalues and Eigenvalues: eigenvectors and their properties; diagonalization; Cayley-Hamilton theorem.
Internship(s)
NAO