MAT-01266 Mathematics 2, 5 cr
Vastuuhenkilö
Janne Kauhanen
Opetus
| Toteutuskerta | Periodi | Vastuuhenkilö | Suoritusvaatimukset |
| MAT-01266 2018-01 | 2 |
Janne Kauhanen |
Final exam, weekly exercises, and MATLAB Fundamentals self-paced training course in MATLAB Academy. |
Osaamistavoitteet
On this course the students learn the basic methods of vector and matrix algebra. The students learn how to justify their claims using mathematical methods and to present their solutions orally as well as in written form.
Sisältö
| Sisältö | Ydinsisältö | Täydentävä tietämys | Erityistietämys |
| 1. | Vectors in R^n: the dot product, length, angle, orthogonality, and projection onto a vector. Lines and planes. | ||
| 2. | Systems of linear equations: solving using Gaussian elimination. | ||
| 3. | Spanning sets and linear independence, subspaces, basis, and dimension. | ||
| 4. | Matrices: matrix algebra, the inverse, the determinant, the cross product. Eigenvalues and eigenvectors. | Linear transformation and the standard matrix. The scalar triple product. Similarity and diagonalization. | |
| 5. | Orthogonality, orthogonal complement, orthogonal projection. | Gram-Schmitd process. Orthogonal diagonalization of a symmetric matrix. Least squares approximation. | |
| 6. | Using Matlab as a tool in solving the exercise problems. |
Oppimateriaali
| Tyyppi | Nimi | Tekijä | ISBN | URL | Lisätiedot | Tenttimateriaali |
| Book | Linear Algebra, A Modern Introduction (2nd ed.) | Poole | No |
Esitietovaatimukset
| Opintojakso | P/S | Selite |
| MAT-01166 Mathematics 1 | Mandatory |
Vastaavuudet
Opintojakso ei vastaan mitään toista opintojaksoa